HYDROSTATICKS; O R, The Weight, Force , and Preffure of FLUID BODIES, Made evident by Thyfical % and Senftble Experiments, TOGETHER VVithfome Mifccllany Obferyati* uns , the Jail whereof is a (hort Hiflory of Coal, and of alhthe Common , and Proper Accidents thereof; a Subject never treated of before. To my very Honourable, and Noble I, o $.d, R O B E R T VISCOUNT of OXFUIRD, LORD MACRGILL of COUSLAND. «» My Noble Lord, , ' He firft application I make, is forpWo^that I have adventu¬ red to prefix your nameto the Frontifyiceoi thisW orkywhich in it fclf,. cannot he thought worthy of your Trufi andFroU’ffm ; there be¬ ing no proportion between the greatnefs of you r Merit ,and ib mean an Oblation ; fave what flows from the Noblenefs of the SnbjeH, and the fincerity of his refpeds whoprefents it* It is truly a part of FHlofofby , that was ' The Epftle Dedicatory, never much Cultivated, but of late, ex* cept in a more abftrad and fubril way, which did render it lefs ufeful ; but is now more improven by fenfible Manifeftationr of the So* veraign Miftrifs of Arts, Nature her felf. There are indeed ("my Lord) many excellent Sciences , which do merit the favour of your Lordfhips ftudies, and by which your Noble Accomplishments might be more improven ; yeti am bold to affirm, you cannot apply your Noble Mind to any pair of PbiJofo/by, where you will find more Pleafure, with lefs Pains- more evidence of Reafon, with lefs Difficulty. The famous Gregorio Leti, was fo much an admirer of your Venues , that he fheltered urn der your P atrocity, his Vita Di SiHo quintoPon- tefece Romano . And if you were able to pro- ted an envyed/tatoin Italy ,much more may I exped full fecurity from your Name in Scotland , where your intereft and relations are fo confiderable. And if he, who only look'd up u on your Vertuom Mind, while it was but blof- foming, was fo much.perfwaded.to judge none more The Epifile dedicatory. more fit to Receive, Proted, and Claim his Labours, much more I, who have feen the ac¬ complishment of your Virtues at home . I have likewife very much confidence of your Noble and Candid Difpofition to" admit this into your Favour , and aflfurance of your Af- fedion and Skill, to Love it, and Underftand it ; both which are cenfpicuous, the firft in your encouragement to all Learning , the other in your Capacity and Underftanding to com¬ prehend , whatever you encourage. Though (my Lord) I have been much emboldened to offer this Dedication to your Lordftiip, upon the account of your own He- roic\Vertues , yet l mu ft not pafs over in fi- lence, a moft fpecial Motive, which to me Shall be the laft, fparing to expreft all the great Caufes oblieging me fo to do } and that is, the Memory of your Worthy and neareft Re¬ lations , who are, my Lord your Father , Grand¬ father , and Great-Grand-father , not only me¬ morable for their Vertne and Learning, and peculiar Endowments, whereby they were The Efiftle Dedicatory , thought worthy to ferve, their King and Conn* trey, in Council, and Honourable Courts ofjnfm for thefe many years, but for the Dignity and Antiquity of their famous Anceflours. How old your Lordfhips Name is, Buchanan teftifies in the clofe of the Second Boofy of his Hijlory , who Writeth thus, Certe Gildus letmefl in Scotia No . men, ut veins Mac%gildornm,feve MacJ\gi!lorum gens indicat: e cuj vs goffer is bonefa adhuc in Sco¬ tia d? Anglia flint familu. That is, Surely Gild is an ancient Name in Scotland, as mtnefs the old Family of Mackgilds, or Mackgills: of ivhofe Pc ferity there are yet in Scotland and England many Families of good account. And as aninftanceof this, ihe fame Author tells us of the Great Thane o/Galloway, Mac\gil - him Gallovidk longb Potentifsimum , in the life of MacJfeth , who by this Vfurger was put to death for his adherence to his Prince , from whom your Lordfnip, and your worthy Pro¬ genitors are Lineally defcended, and of whom 'Buchanan meant iiKhe foregoing paflage/ince your Predcceffors flouriflit in lus time ■ your 7 he Epiflle Dedicatory. CjreatMrand'Father having then been His Maje/lies Advocat, his Brother Lord Regifler . Having now ( m y Noble Lord) laid be¬ fore you fo many confiderable Motive$,which I humbly defire may prevail, 1 cannot but make my next Application for Acceptance, and ferioufly intreat this/fV^may be received into the Tuition of your Favour, and get a full Trot eft ion from the Cenforious, and being en- lightned with the fplendor ofyour J\(me ,and receiving the imprefsion of your ^Authority upon it, may fafely pafs thorow the World, for which fingular Favour, I lhall fervent* ly wifh to your Self and Noble Family, all Profperity, andHappinefs, and (hall think my fdf very happy under the Character of, Edinburgh $[zyio] {the day ofyour Lo. My Noble Lord, Your Lo. mofi humble and rity) 1672. GEO RGE SINCLAR; io TO THE READER. Courteous Reader, Shall not detain thee in the entry with a long Preface, but give a jhort account of vohat is needful to be known , of the Caufe, Occafion, and Matter of the following Treatije. After the publication of my laft Piece, about the W eight and Preflure of the Air, I found it need¬ ful to treat of the PrefiTure of the Water, bicaufe of the near relation between the two: the operations , and effects of both depending almofi upon the fame Principles and Cmfes.Andtbat there are many things , which cannot throughly be under food, of the Pteffure of the Air, without the knowledge of the PreflTure of the Water : therefore to make the firfl the more evident , 1 have fpoken of the fecond: the effects and operations of Hydroftatical Experiments , being more confpicuous andfenfible , then the effects and operations of the otl ^ t The Occafion was feme [pare time I had now and then, for making fome Trials.- part whereof are publifhed here ; the re(l being rather fome productions of Reafov, attentively exercifed on that Subject » which notwithstanding may be called Experiments, though never actually tried , nor haply can be^ becaufe of fome accidental impe¬ diments: yet [uppoftng they were, I make it evident , thatfuch and fuch Phenomena would follow^ whencefnany neceffary concluftons are inferred. As for thefubjeCt matter , there are frfl, moe then thirty Theo- . reins order to the Preflure 0/Fluid Bodies, as Air, Water, and Mercury, which in effect are nothing elfe , but fo many concluftons rationally deduced from various and diverfe cffeCts of Aeroftatical, Hydroftatical, and Hydrargyroftatical Experiments, which for the mfi part, I have tried my [elf There are next twenty Experiments briefly deferibed , by their own ! 1 diflin # To the Reader. i afithcl Schematifms their Phenomena, according to the Lam of the Hydroftaticks arc fal vcd,and [everal new concltifms inferred. A \ propofal is likewife made of a mo> : convenient Engine for Diving, j Here, [everal difficulties are propofed, and anfwered, and all the oh- ' vims Phenomena of Diving explicated.lfthe Lead which finks the Ark, be judged too weighty and big, which may render it not fo tractable, and likewife hinder the Ark from going jo near to the ground, as is deferable, and in [owe meafure fop the fight, (which troubles are (ifnppo(t) incident to tbeBtUalfo) it may be reduced to a far lefs weight , and quantity, and the overplus being made (quart and thin pieces, may line the mouth of the Ark without, be¬ tween P SL &r ‘d L -’A according to the Figure 2.5, or may be put to, or taken away at pleasure. The Bell may have likewife in fiead of this troublefome Foot-board, a weighty Ring of Lead, or two, to go round about the orifice without jn form of a Girth, or Belt, which may flip off and on at pleafure, and will as conveniently fink it, as if it 'hada weight appended : the Foot-board then may be of any form, quantity, or weight you pleafe. There are thirdly feme Mifcellany Obfervations, the defignof which is only Philofophical. Some of them are Experiments made with the Air-pump, which I have adventured to infert here, even though the Noble Mr. Boyl hath given an account of many. But be- cav.fi the Engine was offered to me by the Laird oi Salton, a Gentle" man of a choife Spirit, l could not, but in obedience to bis commands make tif ? of it, andfhew him the Produtf. There are alfo two or three o’jfe; vat ions in the clo ft , as that of the Primum vivens in Ani¬ mals : of the Aliment,and growth of plants:^ of the motion of the Aliment in Trees. To all which is added a jhort Hiftory oiCoa \,which l hope will be acceptable to feme this fo needful a fubj eel,never hein? treated of before by any. in it, mention is made of things common fo Coal in general,as Dipps, Rifings, and Streeks. Next, ofG aes, or Dykes, which prove fo troublefome Jometimes to the working of Coal. Thirdly, of Damps, and Wild-fire. Next , a method is taught for trying of Grounds,where never any Coal was dt[coveredbefore. And iafriy. the manner how Levels, or Conduits under-ground\ ought to b carried on, for draining the Coal, and freeing it of Water, When To the Reader, Wbenthis Boob was fir ft committed to the Prefs, I fent an intima¬ tion thereof to (ome of my friends,for their encouragment to it , 4 Brattice now common, And commendable, which hath not wanted a \ considerable juccefs, os witnefsthe refpett of many worthy per fens, to ‘ whom I am oblidged. Bat there is a Generation , that rather, than 1 they will encourage any new Invention, fet them]elves by all means to 1 detratt from it,and the Authors of it: fo grieved are they, that ; 0U ght of this hind fhouldfall into the hands of any , hut their own. And therefore. if the Author fhallgive hut the title ofNzwto his In- l vtntion, though never foidejervedly, they fly prefently in his throat, | like fo many Wild-Catts, fludying either to Ridicule^/'/ work alto- ? gether. a trade that ufually, the per (on of weakefl abilities, andmofl ; empty heads, are better at, than learned men, like thoje Schollars,who being nimble inputting tricks,and impoflures upon their Condifciples, were dolts, as to their Leffon , or elfefall upon it with fuch {nailing, \ and carping, as dtfeover, neither ingenuity , nor ingenioufnefs, but a Iforeficknefs, called Envy. In the Intimation, I affrmed, that the Vottrine concerning the Weight, and Preflure of the Water was New. This one word,like a (fark of Fire falling accidentally among Powder, hath been the occa- ' f on offo much debate. Their ground is, hecaufe they look upon the' \ Hydroftaticks, as a Science long ago perfefted, feing Archimedes *2000 years ago hath demon fir at the Water to have a Preflure, and 1 fame ’others ft nee, as Stevinus. They affrm hkewife, that all the - ’ Theorems^^ExperimentSj^r^ here,are either deductable from Archimedes, and Stevinus, or are the fame with theirs, if theft ■ Gentlemen had fufp ended their judgment^ till this Book had been pub- lifhed, I fuffett they would not have ffoteen fo confidently. For Ar- ichimedes his propofit ions, they are hut few, and proven ( as Mr Boyl \faith ) by no very eafie demonftrations, which have more of Geo¬ metrical fubcilicy, than ufefulnefs in them. But theft,which are here .propo fed, are not only ufeful, but evidently evicted by reafon, and fen- I Mbit Experiments, even to the meanefl capacities. And though I (me of mine,may ( perhaps ) co-incide with jome of his, which to me pf but accidental, yet our way ofprocedmris toco Coelo different. His way is more Speculative;^# is morePafticalHii demonstrations 1 q a_ an To the Reader, | ^Geometrical .• theft are Phyfical. His propofitions dre but for the life of a few theft art for the ufe of all. His art not illufirated, J and confirmed by Hydroftatical Experiments." thefeare, ' f, Stevinus a late Writer keeps that fame method. Tet I judge it eafie t$ let fee, even in the entry , how little cogent fome of his demon - firations are, without derogating from fuch a Learned (JMav, He hath indeed fome Pragmatical Examples ( as he calls them) foril- ■, hfirating fome of his Geometrical Propofitions , anent the PrefTure of the Water 5 but I leave them to be confiaeredby the judicious and under fiar ding. Again, in this Method , 1 am yet as much different from ethers, who have written lately, as fromtheje I have been ffe ak¬ in g of ,. For, I not only treat of the Prttt'wtcfthe Water, but takes : in with it, the P; eft'ure of the Air joy ntly ; ft nee to explicat fuffici- ) t fitly the Phenomena of the Hydroftaticks , without it, it is impof- If fible. And yet fader, I not only count erpoift hdwith Water, but ■ Air with Mercury ,and Water with Mercury,^ which means feveral | myflerjes, andfecretsin this Art, are difeovered. f There are feveral Inventions found cut of late in the Hydrofh- 1 ticks, whofe e~ ents and efi els, cannot be clearly deduced from the grounds of Archimedes, and Stevinus, who had not. that clear difeo- %ery 'for ought we know) of the PrefTure of the Air, that fome now have, without which, theft efeels can never be fuffciently explain - . ed. And who doubts, but others afterwards, may make farder difeo- v. tries, and profit the world yet more , with their Inventions, then any have yet dme.Is then the Hydroftaticks,a Science long ago perfect¬ ed? To this Pedantick Conceit, I mufl again oppofe the judgment of Mr. Boyl, who faith moreover, that the ufefulnefs of this part of Philoiophv hath been fcarce known any farder than by name, even lq the generality of learned men. But let us fuppofe,that the notion of the PrefTure of theWnctfisof an i Id date, events eld as the Flood (for Noah furelyhew, that the Prefliire of the Water, wouldfufiain the Ark) and (giving, hut not granting) that Archimedes 2000 years age hath written all the Principles of the Hydroftaticks, doth this hinder any man now,fiom deducing new Conclufions from thefe old Principles i But then it hereto fuch things for neither inthisgner in my lafi piece, are my. To the Reader. Adverfaries able to trace me. ’Tis like thepurpojes maid have been (o much the better , if l hid followed other mens foot dtp: and it is like they might have been fo much the worfe, I doubt not, but I have lighted upon other mens thoughts in fome things: and others writ- ting on this fame [nhjcB , who perhaps are my Antipodes , may fad uponmine, cJWj Antagoniftscri?ncnt,ihz\v.ng the Reafon why the Mercurid Cylinder rifts, and falls, in the Torricellitn Ex- ferment, as it is carried up, or down thorow the^/r./uf,46.50 The fifth, flawing the reafon, why the Mercurid Cylinder rifes and falls in the Barofcope , as the Pipe is reclined and ereded.p.51 The fixth, touching the ftt- (penflon of Liquors in Pipes, either clots or open above, not only of Water by Water, but of Wa¬ ter by Air. fg. 55 j£fr. The feventh, touching the Cattfe of the fufpenflon, and keep¬ ing up of Water in Weather-glaf- fir. peg. 5$>. The eighth, touching thefea- fon, why a Stone weighs lefs in Water than in Air. pag. 71, &c. The ninth, touching the rea¬ fon, why under 2 Water 34 foot deep ; the bight of the Mercury in the Barofcope , is 58 inches. ■ fag. 77. &c. The tenth, touching the rea¬ fon , wny a man gripping with his fingers the Torricellian Tub, feems to find the weight of the Liquor within, and yet finds it not. pag.8z,&c. The eleventh, touching the counterpoifing of Mercury in Glafs-pipes under-water, by the help of a Ballance above, addu¬ ced to prove that a heavy Body weighs as much in Water, as in Air. fag. 86, The difficulty anfwered, ftg.Zj.&c. The twelfth, touching the reafon, why a Cylinder of Brajs, may be fufpended by a Surface of Water, before it touch the bot* tom, that’s 100 foot deep, pag. 101. &c t The thirteenth is, touching two plain heavy Bodies fufpen¬ ded under a Water 34 foot deep. Pag . i op Doclor Mores Argument a- gainft the Preffure of the Air,an¬ fwered. pag, iiy The fourteenth, touching the counterpoifing of Mercury with Water : of Mercury with Air and Wafer whence fome notable Phenomena appear, pag. 120. &c. The fifteenth,touching an Ex- r periment The Contents ', periment tried in a Water 72 The eighteenth,touching the foot deep. fag. 1 2 7. &*. Diving-Ark, fag, 153. &e. The fifteenth , touching the The nineteenth,touching a Si- reafon, why the different wide- fhon made to work under Water nefs of Tubs, makes no alterati- with Mercury , by the Prepare on in the hight df the Liquors thereof, as a Siphon operats with fufpended in them. fag. 133. Water , by the Prepare of the The feventeenth, a notable Air, f. 180. trial for proving, the Preffure of The laft is for demonftrating the Water, fag, 137.&c> theprecifeand juft mightoHay Mr, Boyls Experiment infuffi- Pillar of Atr i Water , or Mercury. dent, . fag,1^6. Contents of the Mi s c e 1 lany Observations. observation 1 . Anent the kil- ing out the true South and North ling of Animals in Coal-Jinks, by Points. . f. 212. the power oi Damfs and ill Air, obferv, S. Touching the rea- fag. 197. fon, why a dead body ofamn, or Obferv. 2. Touching the po- &?^,rifetk from the ground of a fition of Jupiter ^ with the Stars Water, after it hath lien there of Gemini, Novemb.iq, 1669, three or four dayes. fA 16.. f.101, obferv, 9. Is a fecond Expe- obferv. 3. For knowing the riment made in a coal-fink , for motion of the Sun , or Moon , in knowing the power of Damfs Jeconds of time. ibid, and III-Air, 217. obferv. 4. Touching an Ex- Obferv. 10, An account of Ex¬ periment made on the top of percents tried with the Air - Cheviot. f. 207, pumf. obferv, 5. Touching the oval- obferv. II. An Experiment Figure oi the at- nis fetting, made, forknowing the reafon, f. 20 9, why a round heavy Body, as a obferv. 6, Touching a confh Bullet of Irqn, falls not off a plain derable Thunder , with great Body, under motion, but lies Lightnings , in Eafl-Lothian, in dead, 7.224. July 1670. p 210. obferv. 12. Shewing the reafon obferv, 7, A method for find; why a ftone demitted from the ton ihe Contents, top of a Ships-Maft under Sail, derful force of the Air. p,z$ o, falls direftly upon the place it obferv, 19. Touching Come hangover. p, 226. propofals of new Engines for _ obferv. 13, Touching the War. hight of the Mercurf in the Bars- obferv, 20, Touching a fad trial fcope,obCerred by D.Beal.p.zzS, one Mr. Campbsl fuffered in his Obferv, 14. Touching the va- Family for many dayes from the melon of the Magnetick Needle Devil, />, 238. here. />. 228. Obferv, a 1. Touching a large 1 Obferv. i). Touching the Ele- Horn cut off a Womans head j vation or the Foie here, £.228, lately. p, 24$, 1 obferv. 16. A fecond method obferv, 22. Touching the Prd for finding the Meridian, p.219, mum vivens in Animals, ibid. obferv. 17. Touching a confi- obferv. 23. Touching the Aid . derable lhowre of Hail, with mentanigromhof plants f.zyz, Thunder, and Rain, ibid. And touching the motion of obferv. 18. Touching a curi- the aliment inTrees. p. 254, ous Experiment made lately in obferv. 24. Touching a Hifio- Germany, for ihewing the won- ry of Coal. fn •/>, 258. In Au&orem & Opus Encomiast icon, 7T? Iherk expanfi. vitrei Mark Ancitalanton, ,/H.Peroifdos, Eisfin, Fluidarumritevidentes, Inger.iopatefaUa tm, Magnalia rerm, Laudarknt alacres Galli, Belgique fagaces. Asgrederk nmc ArieNova , trutinare profundi Cortora , fubmerfas quondam producere Gazas, ‘Iollere demerfu ingentia. pondera Cupis. Gufracidum in Cryptis ortum Fofribus atrox, Submijfo in Fundos Aura rensvante F labello, Tropulfare doces, Lithanthracumque Cavernt §>y.ek feveantur Aquk > quo tend ant, unde oriantv.r, Or dine quo circum Saxorumflrata recumbant. Qu'odbene czpijiiNatura cun&a foventk M unera folertiperge Wuflrare Mathefi. GEORGIUS HEPBURNUS, M. D. a Monacbagro. READER, To the Reader, Reader, T Hac thou mayeft know,by one word more,how ufe- iul this part of Pbilofophy is, and how tartrom bein' 1 Set face long ago perfelted, take but this following fal, lately, fince my Book came to a dole,communicated to me by a Friend \ which, by his allowance, I have pub- lifliedjrefei ving theAnfwer to himfeli,the Author thereof. Brother, B r what you have publtfhed in your Ars Nova & Magna, and this Book, I have been led to this Invention, to beget within the Bowels of the Sea , a Power, or Force , which with great frfety^and eafe, (hull bring up the great eft weight , that can bf funk therein: ad data qurecunque pondera de- merfa, in Maris vifeeribus Potentiamproducere, quas mo- do fecuro, & facili, e tundo cujufvis altitudinis ad fum- mum, ipfa evehat- ldrew a Letter one night, jhewing the way how this might be done , which I communicated to you, ; that it might have been Printed with pur Book.* but after fecond thoughts, I judged it more meet to keep it up for a, time , and that it (houfd be fet forth by way 0/Propofal only 'at the frf^by 0< m> ft on, ' Youi; Brother, May 20 , i6yz, Mr, tf ohn Sinclar, j This Mew Invention , though HydrbftaticaJ, is truly 1 Mechanical, there being here a Pondus and a Potentia, whofe [operations depends qpon Mechanical Principles. But in I q q q feveral C] I feyerai refpe&s it is far more admirable, than the moft part of the-Mechanical Engines, which are look’d upon as far- pendious, Many things, almoft incredible, are reported of $ Archimedes, which he admirably brought about, by his p Mechanical Powers •, but I am confident, that by this In- I: vention i as great a weight may be lifted, if not greater, fi as the Power of any Mechanical Faculty can be able to il; move. I know, the greatefl conceivable weight, may be demonftrat, to be moved by the ieaft conceivable f Power, as the Earth, by the force of a mans band. But I* how is itpoffible to contrive Artificially, an Engine for.. ' thatpurpofe, which will do that by Art, which the de- : monftration makes evident by reafon t It was thought a 1 great enterprize, when Pope Sixtus the fifth, rranfported ; an Obdisk ,which had been long fince dedicated to theme- j mory of fulius Ctfar , from the left fide of the Vatican, to ; a more eminent place, roo foot difhrrt- ? but to raife a , Ship of icoo.Tun intirely, nay, a weight ico times • greater, is finely a far greater enterprize. This inven- lion is fo much the more admirable, that not only by it, ■ any fuppofed weight may be lifted, but from any deepnefs, : Though this ( perhaps) cannot be done Mechanically, becaufe of fome Phjfical, or Moral impediment, yet accot- ■ ding to the Laws of the Hjdrcflaticks it can be demon- ftrat, and made evident by reafon. And if this be, then . finely, when the Weight Is determine, as the burdens of all Ships are, and the deepnefs known to be within fo ma¬ ny fathoms, this Invention cannot but be fuccefsful, • Though the j,bength of Mechanical Inventions, may be multiplied,beyond the bounds of our Imagination, where¬ by the greateftmay be moved, by the Ieaft, Power • yet the Wifdom of God, hath thought it fit, fo to confine that knowledge, that it cannot teach; how both of I ] of them,can move with the (ante pirttxfsmi fpcat. FoC] il that were, the very toks:of Nature beovettuM- ed, Therefore, itis'obfetvable, that when a great weigh is ’moved by a (mall Power, the motion df the one, is a. much Q.owei than the motion of the other,,, a$ the Weight of the one, exceeds the Force of the other, If/ttwerepofe Able Mechanically to move the Barth with the Force of a mans hand, the motion thereof would be as much flower, than the motion of the hand, as the Wejgk'ohk&the, ex¬ ceeds the Force of the other, which is a great difadvantage. And as t\\e Weight ed Power do thus differ,. asto fm/rwe fc and flownefs in motion", fo alfo, as-to Space. ' For, by ho;oft atic3t Upeatem s, ABC D, there is a fecond EFGH, and a third IK L M, and fo downward, till yon come to the bottom. This holds true, not only in Water, but in Air alfo, or in any other Fluid body whatfoever. I call the under-furfaces imaginary, not becaufe they are not real 5 for true and real effe&s are performed by them-,, but becaufe they are not actually diftinguifhed amongflthemfelves, but only by the Intel led. THEOREM II* In all Fluids , as it is needful to conceive Horizontal Plains , [o it is needful to conceive Perpendicular Pillars putting the(e Plains at right Angles, Figure i. T His Propofition is likewife needful for undemanding the following Dodrine, anent the Preffiire of the Water: for in it, as in all Fluids, though there be not Columes or Pillars a&ually divided, reaching from the top to the bottom, yet there are innumerable imaginary which do as really produce effeds by their preflfure, as if they were a&ually diflinguitlred, Thefe imaginary Pillars are reprefented in the nrft Schematifm, one whereof is AEIN O P Q^, the other B F K R. T, and fo forth. T H tO REM III- There is a tmfcld Ballance^ one Natural, another Artificial, B Y the Artificial Balance, Iunderftand that which the Mechanicks call Libra , which Merchants commonly ife, By the Natural Uliana (which for diftindions caufe ■".' ' If© t?pBio ftat(cal Hko?ci iis. 3 Ifonomitiat) I mean, v.g, a Siphon , or crooked Pipe, wherein water naturally afcends or defeends, as high or low in the one Leg, as in the other, ftill keeping an evennefs, or iikenefs of weight. THEOREM IV- Fluid bodies count erpoije one another in the Ballance of Nature, according to their Altitude only, T His Theorem will appear afterwards m oft evident, 1 while we pals through the feveral Experiments $ and it is of fpecial ufe for explicating fundry difficulties that commonly occur in the Hydro(laticks, The meaning of it is fliortly this .• while two Cylinders of Water are in the oppofite Scales of the Natural Ballance, they do not coun- terpoife one another according te their thicknefs; for though the one Pillar ol Water be ten times thicker, then the other, and confequently heavier, yet is it not able to prefs up the other, that’s more, flender, aqdfo lighter, beyond its own hight: and therefore they weigh only ac¬ cording to their Altitudes . THEOREM V- In all Fluids there is a Pnffure, Figure 1. T His is true not only of the Elements of Air,and Wa¬ ter, while they are out of their own place ( as they fpeak) but while they are in it. For Air and Water, be¬ ing naturally indued with weight, the fecond foot cannot As be 4 ^tyoftattcai gfleo?emg, _ be under the firft, unlefsit fuftain it: if this be, it muft neceffarily be preft with its burden. So this Water being naturally a heavy body^the foot I cannot be under E, un- lefs it fuftain it, and be preft with the burden of it; the foot N,being burdened with them both. From this Pref- fure, which is in Air, arifetha certain fort of force, and power, which may be called Benfif by vertue whereof, a little quantity of Air,can expand and fpread out it felf,to a very large quantity, and may by extrinfick force be redu¬ ced to that fmall quantity again. Though this expanfive faculty be evident in Air, yet it is fcarcely difcernable in Water, unlefs it be in very deep parts, near the bottom, where the Preffiire is great. This Preilure is not of the fame Degree in all the parts, but is increafed and augmen¬ ted, according to the deepnefs of the Air,and Waterfor •the Ah upon the tops of Mountains, and high places, is thought to be of a lefs Preffure, then in Valleys: and Wa¬ ter is of a lefs Preffiire, ten or twelve foot from the top, then twenty or thirty, So is the Water N, under a far lefs Preilure, then the Water, P or Q. THEOREM VI- The preffure of Fluids is on every Me, Figure i. T He meaning «, that Air and Water preffeth not on¬ ly downward,but upward,not to the right hand only* but to the left alfo,and every way.So the foot of water K, sot only preffeth down the foot- R, but preffeth up the foot F, yea preffeth the foot I, ana the foot L, with the fame weight, An^ the feft imaginary furface, .is as much preft foi>D?ofta tBjOft atlcal Xj)co?tms, _7 : tiling driving him up, or pulling him up. Therefore, : there is in all Fluid bodies, an Infenftblt weight, as there ' is one Senfible ; feing the man that (perhaps) weighs fe- venteen Stone, is driven up fifteen or fixteen fathom by ' ] t> And it muft be very confiderable, and exceed the weight of the man, feing it is able to overcome fuch a weight. So are vapours and fmoke driven upward by the Jnjenfble weight oi the Air, and by that fame weight, do the Clouds fwim above us. THEOREM X- The Irifenftble weight of Fluids, is only found by [enfe , when the Prefjure is not uniform. F Or undemanding of this Propofition, I muftfuppofc fomethings that are poffible, but not pratticable. Put the cafe then, while a man opens his hand, the Air below were removed, he would fcarce be able to fuftain the weight of the Air, that refts upon the Palm above : or if the Air above were annihilated, he would not be able to bear down the weight that prefleth upward. Or, while a Diver is in the bottom of the Sea, if it were poffible to free any one part of his body from the PrefTure of the Wa¬ ter, fuppofe his right arm, I doubt not, but the blood would fpring out in abundance froni'his finger-ends .* for the arm being free, and the other parts extreamly preft, the blood of neceflity muft be driven from the fhoulder downward, with force, which cannot be without confi¬ derable pain. It is evident alfo, from the application of theC uftin-glafs, which being duely applied to a mans skin, caufeth the Air to prefs unequally, the parts with- s ppmo gancai I oat, being morepreft, than the parts , within, in which cafe the unequal Preffure caufeth the pain, and fo is found f byfenle, THEOREM XI- A Cylinder of Water,or of any other Fluid body , lojeth of its : weight, according to its rtclinatm from a Perpendi- calar pofttion , towards an Horizontal or leztllfcituaticn, F Or undemanding of this, confider that while a Pipe full of Water ftands perpendicular, the lowed i footfuftains the whole weight of the Water above it:; but no fooner you begin to recline the Pipe from that Po- i fition, but afToon the Preffure upon the loweft footgrows L Iefs ^ So that if the lowed foot, in a perpendicular pofi- tiou , fuflained the burden of ten feet, it cannot fuflain above five or fix, when it is half reclined. A certain evi¬ dence whereof is this, the more a Cyilnderof Water is reclined towards the Horizon,or Level,it takes the (hotter Cylinder of Water to counterpoife it, as is evident in Sh phoas. For, though the one Leg, be fixceen inches long, and the other but fix 5 yet a Cylinder of Water fix inches long, will counterpoife a Cylinder of fixteen. But this cannot be , unlefs an alteration be made in the Preffure. For, how is it poffible, that a Cylinder of Water can fometimes be in aquilibrio with a leffer, and fometimes with a greater weight, unlefs the Weight, and. Preffure of it, be fometimes more, and fometimes lefs i When I fay a Cylinder of Water lofeth of its weight by reclinationii it is to be underflood only of the Infenftble Weight:, for 1 ^ptyoftaeical C&eojems* 9 the SmfibleWeight unchangeable, feing. it is alwayesa Pillar of fo many inches, or feet. Now the true reafon, , v/hy the PrefTure upon the loweft foot grows lefs, is this ; ; the more the Pipe is reclined, the more weight of the i Cylinder refts upon the fides of the Pipe within • by i which means,the loweft foot is eafed of the burthen , and is altogether eafed,when oncethe Pipe lyes Horizontal. THEOREM XII. All motion in Fluids, is from the unequal Preffurc of the Horizontal furface. Figure i, F Or undemanding this,I muft diftinguilh a twofold mo¬ tion in Fluids $ one common , another proper, by ver- tue of the firft, they incline, as all other heavy bodies, to |be at the center of the Earth. It is evident in the motion fof Rivers, which defeend from the higher places to the val¬ leys , even by vertue of that tendency they have to be at ne,tnen furely as •the part Adefcends, the other part Bwillafccnd, andfo f will C and D rife higher too. $uppofe next, the part A * were fred of the Preffureof the Air, then furely in the : fame inftant of time, wouldthe part A afeend, and the I parts B C D defeend, As thisPropofition is true in order B to io DpDfQttatical £ljcojems, to the firft-and vifible furface A B CD, foitis true in or¬ der to the imaginary furface I K'L M 5 for put the cafe the fpace I, -were filled with a body naturally heavier then Water, as lead or ftone, then behoved that partof thefur- fkce to yeeld, it being more preft, then the part of the fame forface-K, Or if the fpace K were filled with a body natu. rally lighter then water, as Cork, then ought the wa« terRto afeend, it being lefs preft, then the water N or S. THEOREM XIII- A bodynaturally heavier then Water, defuncts-, and a body.naturally lighter, afeends . Figure i. F Or undemanding of this, let us fuppofe the quadrat fpace E, to be filled with a piece of Lead or-Iron. I ' fay then it muft.godown to I; and the reafon is, becaufe the quadrat foot of Water I, is morepreffed then the quadrat foot of Water K„ To iliuftrat this, let us fup¬ pofe that each quadrat foot of this Water weighs a pound, and that the heavy body exifting in E, weighs two pound. If this be, the foot of Water I, muft yeeld, fee¬ ing it is more preft then K : upon the fame account muft the Water N yeeld, and give way to the Stone, feeing it is more preft then R, For according to the twelfth Theorem, There cannot he unequal Pre fure upon a furface, unlejs motion follow.' For underftanding thefecond part, let us fuppofe the fpace R, to be filled with a piece of Cork, thatisfpe- cifically or naturally lighter then Water. I fay then, it muft afeend to the top B ; and the reafon is, becaule the quadrat foot of Water, K, is more preft: upward, then the quadrat ^o^Hamai^Qeoiem0; u quadrat foot ofWatet I," or L is: but this cannot beun Fluid bodies, unlefs motion follow thereupon. I fay, it is more preft up, becaufe R being lighter then N', or Si itmuft-prefs with greater force upon K, then S can do upon L, or N upon I. It isffilh toberemembred, That Fluids preffetk with as much ftrcngth upward^ asdofttt' mrd, according'tothefixth Theorem*, and that an Ho¬ rizontal furface doth as really fuffer unequal Preffure fronf below, as from above. THEOREM XIV- Bodies naturally lighter then Water, [mm nftn the furface and tof^ Figure i. T He reafon of this Propofition molt be taken from the nature of an equiptndium^ or equal weight. For without doubt, there is a counter-ballance between the Preffure of the Water, . and the weight of the body that fwims. To make this probable, let us fuppofe there were a piece of Timber in form of a Cube, fix inches thick eve-' ry way, without weight. In this cafe, the iinder-furface of that tour-fquar’d body, being .applied to the furface of the Water A, would ly dofs'upon it, as one plain Table lyes upon the.face of another, without any preffure; and it being void Of weight, the part of the furface A 1 , would be no more burdened, then the next part B adjacent; whence no motion would follow. Here is no cquipndium, or counter-ballance. Secondly, let tis fuppofe the faid body to acquire two ounces ot weight, then it follows, that it muff fifbfide, and fink two inches below the furface A‘ JB C D, 'and that 5 2 fo n ftptyoftatical XJjeojemsu fo far, till it come by vertue of its new acquired weighr, to aconnter-ballancewith the Preflure of rhe Water. Which PrefTure is nothing elfe, but as much force or weight, as is equivalent to the weight of Water, that is thruft out of its own place, by the fubfiding and finking of that body, two inches. Thirdly, let us fuppofe the fame body to acquire other two ounces of weight, then muff it fubfide other two inches. Laftly, let us fuppofe that it acquires fix ounces of weight, then it follows that the whole body finks, fo far, I mean, till its upmoft furface be in an Horizontal line with the furface of the Water A B C D. Here it fwims alio, becaufe the weight of it becomes juft the weight of fo much Water, as it hath put out of its own place. I fay, itmuftfwim, becaufe if the Water I, was able to fuftain the Water E, which is put from its own place, furely it muftbe able to fuftain that body alfo, that did thruft it from its own place, feing both are of the fame weight, namely fix ounces, la this cafe , the body immerged, and the water wherein it is drowned, become of the fame weight ft ec ifcally , feing bulk for bulk is of the fame weight. To make this body ftecifcaEy, or naturally hea¬ vier then Water, and confequently to fink to the bot¬ tom, nothing is required, .but to fuppofe that it acquires one ounce more of weight •, which done,it prefently goes down, I, being more burdened then K. Note by the way, a twofold weight in heavy bodies, one individual , the other ftecifck , and that two bodies agreeing in in¬ dividual weight,may differ in (fecifick weight. So a pound of Lead, and a pound of Cork, agree individually be¬ came they are both x 6. ounces: but they differ ftecificalft^ becaufe the one is naturally heavier then the other, THEO- $pb;oQatfcal Xtjeojtms. THEOREM XV- No Body that fiots above Water , even though its upper fttrface be level with the [urfaee of the Water, can ever be made to fwim between the top and the bottom . Figure i. F Or clearing this Propofition, let us fuppofe F to be a four-fquare piece of Timber, of the fame fierifick and natural weight with Water,and confequently its upper fur- face to be level with the furfaCe of the Water A B C D. I fay then, if it be preft down to R, it fhall arife thence, and never reft till it be where it was, namely in F. Thereafon feems to be this,becaufe the four-fquar’d body ofWater R, is really heavier, then the four-fquar’d piece of Timber F. II this be true, it follows of neceflity, that it muft afcend: for if theTimber exifting inR,be lighter then the Water R, the Water T muft be lefs preft, then the Water O, or the Water V 5 whence ( according to the twelfth Theorem) ■motion muft follow. Again,if the Timber R,exifting in the Water R, be lighter then the fame Water is, -then muft the Water K, be more preft up then the Water I, or L ; whence yet, according to the fame Theorem, motion mufi follow. If it be faid, that the Timber Fj is; of the fame weight with the Water R, becaufe, it being equal in weight with the Water F, which-ithaththruft out of its own place, it muft alfo be equal in weight to the Water R, feeing F and R being of the fame dimenfions, are of the fame weight. There is no way to anfwer this difficulty,- unlefs I fay the lour-fquar’d body of water R, is really and truly heavier then the four-fquat’d body ofWater F. The , reafon 14 ^ptyoftatfcai £t)eojems* reafon Teems to be, becaufe the Water R, isunderagrea- ter PrefTure, then the Water F; and by vertue of this greater PrefTure, there are really mot parts of Water in it, then in F •, therefore it muft be heavier. Even as there are far moe parts of Air,in one cubick foot near the Earth, then infix or feven near th e Atmjphere. Hence it is, that a pint of Water taken from the bottom of the Sea, fourty fathom deep, willbe.heavier, Imeaninaballance, then a pint taken from the furface. Take notice, that when the vefTelis once full at the bottom, the orifice muft be clofely flopped, till it come to the top : otherwife the parts that are compreffed at the bottom, namely by the weight of the Tuperiour parts, relaxes themfelves, before they come to the top. THEOREM XVI- It is not impossible for a body to be ftijp ended between the Mace and the bottom. Figure i. F Or undemanding this, fuppofe F to be a four-fquare piece of Timber, which though it will not reft but at the furface, A B C D, yet may be made to go down of its own accord, and reft at T, namely, by making it To much heavier, as the Water T is heavier then the Water F. To know this difference,which is not very practicable * the Cube of Water T,muft be brought from its own place^ under the fame degree of PrefTure it hath, and put into the Scale of a Ballance, and weighed with the Cube of Water F, put into the other Scale. Now if the Water T, be half an ounce heavier, then the Water F, then to make the Timber. F hingin T, it mnft be made half an ounce heavier. There feems to bereafon for it alfo ; for if a Cube UpBjoltatM Xtieojcms. 15 Cube of Timber refting in the fpace T, be juft the-weight of the Water T> the imaginary fiuface 0 T V, is no mote preft, then if T were Water, and fo it cannot go .down¬ ward : neither can it go,upward, ;feihg ;the'underpin of the Water R, is no more preft up by the Tinker 5E, then if the fpace T were filled with Water, If it be faid, accor¬ ding to this reafoning, a Stone may be fufpended in a deep Water, between the top and the bottom, which is abfurd. Ianfwer, fuch a thing may happen ina very deep Water: 'For put the cafe aCu’oe of Lead twelve inches,, every way, were to go down twelve thoufand fathom it is probable, it would be fufpended before it came to the ground. For coming to an imaginary furface far down, where the Pref- fure is great, a Cube of Water twelve inches thick there, may be as heavy (even fyecijically ) as the 1 Gubfe bfLeid is, though the Lead be ten times heavier 'flecifieallf, then any foot of Water at the top. If Water fuffercom- preffion of parts, by the fuper-iour burden v it is more then probable, that 'the fecond foot of Water burdened with the.firft,’ hatfomoe parts in it, then are in the firft, and the third moe, then in the fecond, and fo forth • and confe- quently, that the fecond is heavier, then the firft, and the third heavier, then the fecond. Now, if this be, why may not that foot of Water, that hath fixty thoufand foot above it, by vertae of this burden, be fo compreft, that in it may be as many parts, as may counter-ballance a Cube of Lead twelve inches every way t "If then,that /W- ginary furface, that is fixty thoufand footdeep, be able to Tuftain the faid foot of VVater,. which perhaps weighs twenty pound, why may it not likewife (attain the Lead, that is both of the fame dimenfions with it, and weight? Hence Hence it is, that the Clouds do fwim m the Air by ver- tue of a counter-ballance: And we fee,which confirms this Do&rine that the thinned and lighted arealwayes far- theft up / and the chicked and blacked, are alwayes far- thed down. THEOREM XVII- The loner the farts of a Fluid are, they are the heavier» though all of them, he of equal quantity and dmenftons. Figure i. T His follows from the former, which may appear a Paradox, yet it feems to be true .• for though the Water O at the bottom, be of the fame dimenfions with the Water E at the top, yet it is really heavier, which happens (aslfaid)fromthefuperiour Pretfure. It is dear alfo from this, namely the Cube of Timber E, which fwims upon the furface, being thrud down to Q^, comes up to the top again, which could not be, unlefs the Wa¬ ter Q, were heavier then the Water E. I fuppofe the Wa¬ ter E, and the Timber E, to be exa&ly of the fame ffcci- fck weisht, and confequently the furface of the Timber, to Iy Horizontal with BCD. Now the reafon, why the Timber afcends from refs with as great burden , as a heatHer. Figure 2. T His Propofmon is true, not only of Water in re- fpetft of Mercury, but of Air in refpedt of them , both: for albeit Air be a thoufand times lighter then Water, yet may it have as great a PrefTure with it, as VVater-, as is evident from this fecond Schematifm, where by the PrefTure of the outward Air GHAB, twenty nine inches of Mercury OP are fupported , as well as the twenty nine inches EO, by the PrefTure of the Water A B E'F. So doth the fame Air, fuftain the thirty four foot of Water NR, which are really as hea¬ vy, as the twenty nine inches of Mercury O P. Now, if the weight of the Atmofphere, be equivalent to the D z weight is §5>b«if}atual£t)cojEms. weight of thirty four foot of Water, or of twenty nine' inches of Mercury, ’tis no wonder to fee Water prefs with as great weight as Mercury $ which is likewife clear from this fame Figure, where by the Preffure of the Wa¬ ter A B E B, twenty nine inches of Mercury E 0 are Mpended, as truly as the Mercury CE, within the lower end of the Pipe, is Supported by the outward invironing Mercury. Thereafons of thefe Phenomena , are taken from the altitudes of the pretfing F.uids: for though a Body were never fo light,yet multiplication of parts makes multiplication of weight ^ which multiplication of parts in Fluids, muft be according to altitude: for multiplica¬ tion of parts according to thicknefs and breadth will not do it.. Obferve here,that if as much Air, as fills the Tub between N and L, were put into the fcale of a Ballance, it would exa&Iy coonterpoife the thirty four-foot ofWater ' N R, poured into the other fcale. Item, that as much Water as will fill the Tub between E and A , is juft the weight of the Mercury E O. Laftly, that as much Air as will fill the Pipe, between 0 and G, is juft the weight of the Mercury O P, THEOREM XXVIII. The Preflure of Fluids, doth not diminifh , while you fubtraci from their thicknefs, hut cnly } when you fubtract from their- altitude,. Figure i. F Or underftanding this, let us look upon the firft $che^ matiftn, where there are four Pillars of Water. Now I fay, though you cut off the three Columes of Water, upon the right fide, yet thetefhall remain as much Pref¬ fure, ^ptyoftattcal 3lt)eo?ems* 29 Cure, in the quadrat foot of Water Q, as was, while thefe were intire. But if you cut off from the top, the Water E F G H, then prefently an alteration follows, not only m the loweft parts, nigh to the bottom , but through all the intermedia* parts: for not only the V Va- ter Qlofeth a degree of its Preffore, but the Waters P and 0 fuffer the fame lofs. This Theorem holds true likewife in order to the Element of Air. For if by Di¬ vine Providence, the Air fhould became left in Altitude, than it is ; then furely, th eBcnftl of the ambient Air, that we breath in and out, fhould be by proportion weakned alfo, And contrariwife, if the Altitude became more, then ftronger fhould the Benftl be here, with us, in the loweft parts: both which would be hurtful to creatures, that live by breathing. For if the Altitude of the Air, Were far more then it is, our bodies would be under a far greater Preffure,which furely would be very-hurtful* And upon the other hand, if the Altitude of the Air, were far lefs then ic is. we fhould beat a greater lofs j for then, by reafon of the weak Benftl^ we would breath indeed, but with great difficulty, THEOREM XXIX. 4 thicker Pid/tr of a Flmd b is net *Mc tv prefs up without door, or window, yet if there re¬ main but one fmal hole in it, the PrefTare of the whole At* mofphere, (hall be tranfmitted thorow that entrie, and fhall reduce the Air within the houfe, to as high a degree of Benfil, as the Air without. THEOREM XXXI- The Preffure , and Benftl of a Fluid , that' sin the Low- eft toot, is equivalent to the weight of the whole Pillar above. Figure 5. F Or unaerftandLng this Proportion, let us fuppofe EF to be the lowed foot of 3 pillar of Air, cut off from the reft, and indofed in the Veffel E F, fix inches in Dia. meter, or widenefs,ani twelve inches high. Now! fay,the Benftl and Preffure, tilt's in that one foot of Air, is exact¬ ly of as great force and power, as is the weight of the whole Pillar of Air, from which it was cutoff. Let A B be that Pillar of Air, which I fuppofe is fix inches thick, and fixthoufand fathom high. Take it, and weigh it in a Bal- lance, and fay it weighs 500 pound, yet the Preflure, and Btnfil , that’s in the Air E F, is of as much force: and if the one be of ftrength by its weight,to move, v. g, a great Clock , the other by its Benfl , will be of as much. This propofition is true alfo in order to Water. For put the cafe E F, were the loweft of 34 foot of Water: in it will be found as much Preffure, and force, as will be equivalent to the weight of the whole thirty-three foot, From-which {^Djottatlcat Xtjcojcms, jj it was cut off. But here occurreth a difficulty} for if the PrefTure, and Benfil of the foot of Air E F, be equiva¬ lent to the weight of the whole Pillar of Air A B, which weighs 500 pound, then muft the flender Pillar of Air C D, that’s but two inches in diameter, be as heavy weighed in a ballance, as the thicker Pillar A B, which is abfurd. I prove the connexion of the two parts of the Argument thus: as the Benfil of the Air OH, is to the Benfil of the Air E F, fo is the weight of the Pillar C D, to the weight of the Pillar AB: but fo it is, that the Benfil of the Air GH, is equal in degree to the Benfil of the Air EF, according to the Theorem 21. Where it’s laid, that the PrefTure of Fluids maybeas much, in the leaft part, as in the whole: therefore the Pillar CD, and the Pillar AB, muft be of equal weight, when both are weighed together intheoppofite fcales of a Ballance, which is falfe, feing the one is far thicker, and fo heavier then the other. There’s no way to anfwer this obje&ion, but by granting the Air G H, and E F, to be equal in Benfil, and yet the two Pillars unequal in weight, becaufe according to the 22 Thmem,the.Benfil of a Fluid is one thing, and the natural might is another, THEOREM XXXI I- in all Fluids there is a Pondus and a Potentia, a weight and a power, counterpoifing one another , as in the Staticks. T Hat part of the Mathematicks, which is called St a* ticks, is nothing eife, but the Art of weighing hea¬ vy Bodies ; in which, two things are commonly diftin- E guifhed 34 ftptBOftatftalsyeojcms. guirhed, via. the pondus and the potentia, die weight and the/wFfr, 'Tis evident, while two things are counter- poifing one another in the oppofite Tales of a Ballance, as Lead and Gold, the one being the pondus , the other the potentia, The Tame two are as truly found in the Hydro* fiaticks : for while the Mercurial Cylinder is fufpended in the Torricellian Experiment, by the weight of the Air, the one is ready the pondus, the other the potentia, Or while into a Siphon, with the two orifices upward, Water is poured, there-arifes a counterpoise, the Water of the 6 ae Leg coimter-ballancing the Water of the other*, this taking the name of a pondus, the other the name of a po - tentia. ’Tis evident alfo, while a furface of Water, fu¬ ftains a Pillar of Water, this being the pondu f, that the po- ttntU Or, while a furface of Water fuftains a Pillar of Air, the Pillar of Air being the pondus, and the furface of Water the potentia. Or, while a lurface of Quick- Elver fuftains a Pillar of Water or Air*, the furface is the power, and either of the two is the pondus , or might , as you pleafe.. THEOREM XXXIII- Fluid Bodies can never ceafe from motion, fo long as the pondus exceeds the potentia, or the potentia the pondus, *T“ , Hi$isa fare Principle in the Hydroftaticks , which JL will appear moft evident* while we pafs thorow the fubfequent Experiments, I (hall only now make it appear by one inftance, though afterwards by a huudred. In the TorrictHUn Experiment, lately mentioned, ’tis obferved, that 0yo?oltancat Ht)to»niB , that though.the Pipe were never fo long^hat ? s filled with Mercury* yet the Liquor fubfides, and falls down alwayes till it come twenty nine inches above the fortace of the ftagnant Mercury below. The reafon whereof is truly this,, fo long as the Mercury is higher then the laid poi% as long doth the pondus of it exceed the fgteytia of the Air; therefore the motion of it downward can never ceafe, till at lafl: hy falling down,and becoming foorter, it becomes lighter, in which inftanr. of time, the motion ends, both of them being now in equippndio, prjneyefj- nefs of weight. THEOREM XXXTV. When WO fluids of different kinds are in #quiiibrio */>- gether y the height of the one Cylinder is in proportion tp . the height of the other y as the natural might pf the one is to the natural might tf the other. F Or underftanding this Theorem,we muft confider,.tftat when two Cylinders of the fame kind, as one of Wa¬ ter with Water, or as one of Mercury with Mercury^ are counterpoifing one another, both are of the fame altitude, becaufe both are of the fame natural weight. But when the two are of different kinds, as a Cylinder of Air with Mercury,or as a Cylinder of Air with Water, or as a-Cy- linder of W'acer with Mercury, then it will be found, that by what proportion., the one Liquor is naturally heavier or lighter, then the other, by that fame proportion, is the one Cylinder higher or lower then the other, For ex¬ ample, becaufe Air is reckoned 14000 times lighter then Quick-filver, therefore the Pillar of Air that counter- E 2 . poifeth 36 ftptyoftactcai SLQcoiems*. poifeth the Pillar of Quick-filverin the Torricellian Ex* 'ferment, is 14000 times higher. The one is 29 inches, and therefore the other is 406000 inches; which will amount to 33833 foot,or about 67 66 fathom, counting five foot to a fathom. And bec-auie Air is counted 1000 times lighter then Water, therefore the Pillar of Air that fuftains the Pillar of Water is iooo times higher. The hight of Water by the PrelTure of the Air is 34 foot,, and therefore the flight of the Air is-a thoufand times 34 foot. And becaufe Water is reckoned 14 times lighter than Mercuiy,therefore you will find,evenby experience, that the Pillar of Water, that counterpoifes the Pillar of Mercury, is 14 times higher. For if the Mercury be ten inches, the Water will be exa&ly 140. If it be 29 inches, the Water will be thirty four foot, The- reafou is evident, becaufe if one inch of Mercury be as heavy naturally as 14 inches of Water, it follows of neceflity, that for making of a counterpoife, to every inch of Mer- airy, theremuftbe 14 of Water, and thefe in altitude, eacfione above another. Hyclroltarical EXPERIMENTS, For demonftrating the wonderful Weight , Force } and Prejjure of the W ater in its own Element. experiment i. Figure 6. explicating the Phenomena of the Hy* droflaticki , and in collecting ipeculative, or pra&ical conclufions from them, I pur- pore to make choife oi the plaineft, and moft eafie Experiments, efpecially in the entry, that this knowledge, that’s not very common, and yet very ufeful, may be communica¬ ted to the meaneft capacities. For, if at the firft , any myftical, or abftrufe Experimentsihould be propofed with intricate deferiptions, they would foon difeourage, and at laft hinder the ingenuous Reader from making pro- 3S i^&oftatfcal experiments* grefs. For, itamandonottakeupdiftin&Iy, theExpe- rirnent it felt firft, he (hall never be able to comprehend next the Phenomena, nor at laft fee the inferences of the conclusions, Next, though tome of the trials may teem obvious, yet they afford excellent Phenomena, by which many’profound fecrets of Nature are difeovered. And if that he, ’cis no matter what kind they be of. Then, the grand defign here, is not to multiply bare, and naked Experiments; for that’s a work' to no purpofe, for it’s like i foundation without a fuperftru&ure: but the inten¬ tion is, not only to deferibe fuch and fuch things, but to build fuch and fuch Theorems upon them, and to infer fuch and fuch conclufions, as fhall make a -(lately building, and give a man in a lhort time a full view of this excellent Doctrine. For the firft Experiment then, prepare a VefTel of any quantity, as AB CD, near half full of Water, whofe fur-tacc is M H, Prepare alfo two Glafs-pipes, the one wider, the other narrower, openat both ends, which muft be thruft down below the Water, firft flopping the two upper orifices E and F. This done ? open the faid orifices, and you shall fee the Water afeenb in the wider to G,and in the narrower to H. Now, the queftion is, What’s the rea< fon,why the Water did not alcend,the orifices E and F,be¬ ing flopped,and why it afcencs,they being opened f To the fi.ft part I aniwer, the Water cannot afeend, becanfe the imaginary furface of Water LK is equally and uniformly preft .■ for with what weight the outward Water M 'L, an-i H X preis the laid lurface, with the fame weight, doth the Air within the two Pipes prefs it. To the fecond parti anfwer. the Water afeends, becanfe the fame fur- face (the orifices E and F being opened; is unequally •preft: $2&joftat(cal €;pttftnenfo 39 preft: for the outward Water M L, and HK, prefs it more, then the Air within the Pipes do. The difficulty only is, why it is equally preft, the orifices E and F be¬ ing flopped, and why it is unequally preft, the faid orifices being once opened. To unlo,ofe the knot, I muft ihewthe reafon, why the Air within the Pipes, prefs : the furface LK, with as great a burden, as the outward Water prefs it. For undemandingthis, you muft know, that when the orifice I isthruft down below the Water, thereari- feth a fort of debate between the lower parts of the Wa¬ ter, and the Air within thePipes, the Water ftriving to be in at I, and the Air ftriving to keep it out: but becaufe the Water is theftronger party, it enters the orifice I, and caufeth the Air retire a little up, one fourth part, or fixth part of an inch, above I, and no more, which is a ieal compreffion it fuffers. For the orifice E being flop¬ ped, hinders any more compreffion, than what is faid ■ in- which inftant of time the debate ends, the Air no more yeelding,and the Water no more urging •, by which means the Air having obtained a degree o iBexfd, more then or- dinary, by thePrefliireof that little quantity of Water, that comes in at i, prefleth the part of the imaginary fur- face, it refts upon, with as great weight, as the outward Water prcficth the parts it refts upon. But when the orifice E is opened, the outward water ML, and HK, prefs the imaginary furface L K more, than the Air with¬ in the Pipe can do. And the reafon is, becaufe by open¬ ing the orifice above, the internal Air, that fuffered a degree of Benfil more then ordinary, prefently is freed, and confequently becomes of lefs force,and weight •, which the Water finding, that hath a little entered the orifice I, inftantly afcends to G, it being lcfs preffed, then the Wa- 40 ^pojoftatfcai experiments* ter without the Pipe, Now the reafon, why it afce-nds no higher then G, is taken from the equal PrefTure of the Body that refts upon the furface M G H: For, alToon as it comes that length, all the parts of the horizontal Plain of Water, is uniformly preft with the incumbing Air, both within the Pipe,and without the Pipe. The Water in going up, cannot halt mid-way between I and G, for then thereihould be an unequal PrefTure in Fluids with¬ out motion, which is impoffible ; for the Water is ftill ftronger then the Air, till once it climb up to G. From this Experiment we fee fiift, that in Water there is a PrefTure and Force • becaufe having opened the orE fice E, which is only cauja per accidtns of this motion, the Water is preft up from I to G. We fee fecondly, that Fluid Bodies 5 can never ceafe from motion,till there be an equal PrefTure among the parts, which is evident from theafcentof the Water from I to G, which cannot halt in any part between I and G, becaufe of an unequal Pref- fure , till it once climb up to G. We fee thirdly , that Fluid Bodies do not fuftain, or counterpoife one another according to their thicknefs and breadth , but only accor¬ ding to thek-jltitude •, becaufe there is pot here any pro¬ portion between the {lender Pillar ofWater HK within the Pipe , and the outward Water that Mains it, I mean as to the thicknefs *, therefore ’tis no matter,whither the Glafs Tubs be wider or narrower, that arc ufed in counterpoifing Fluid bodies one with another. And this is the true reafon, why’tis no matter, whither the Tub of the Barofccpe be a wide one, or a narrow one, feing the Air doth not counterpoife the Mercury, according to thick¬ nefs , that’s to fay, neither the thicknefs of the ambient Air .that fuftains, nor the thicknefs of the Mercury that is i)i>i?oftattcal€)cpettincnts. 41 is fuftained, are to be cotifidered; but only their altitudes, *Tis true, the element of Air is fourteen thoufand times higher , then the Mercurial Cylinder, yet rhere is a certain and true proportion kept between their heights; fo that if the element of Air, fhouldby divine providence become higher or lower, the height of the Mercury would alter accordingly. EXPERIMENT- II- Figure 6 , T Ake out of the Water, the wide Pipe E G I, and flopping the orifice I, pour in Water above at E, till the T ub be compleatly full. Having done this, thruft down the flopped orifice I to the bottom of the Veflel, and there open it, then Ml you fee the Water fall down from E to G, and there halt. The reafon is taken from unequal Preflure ; for the Tub being full of Water from E to I, that part of the imaginary furface, upon which the Pillar of Water refts, is more burdened than any other part of it, namely more then L or K 5 therefore feing one part is more burdened than another, the Cylinder of Water that caufeth the burden, muft fo far fall down, till all the parts be alike preft, in which inftant of time, the motion ceafeth. This leads us to a clear difeovery of the reafon , why in the Barofcope , the Mercury falls from the top Of cheTub of any height,alwayes to the twentieth and ninth inch, above the ftagnant Quick-filver. Forex- ample , fill the Pipe N Q,, which is fixty inches high with Mercury, and opening the orifice the-Liquor Ml fall out, and fall down from N, till it reft at R,which 4-i woflatical ©cpecfcntnts, is twenty nine inch above the open orifice Q. The- res- fon is the fame , namely unequal Preffare, feing one part of the imtg'tvdry furface of Air X S, upon which: the Cylinder of \lercury ftands, is more burthened then the other next adjacent: therefore, fo long and fo far mull the Mercury iubfide and fall down, till the part CL, upon wh : ch the Balls of the Pillar refts, be nomorebmKeired, than the reft of the puts 5 in which inftantof time, the motion ceafeth, and there happeneth an equal ballance,be¬ tween the Silver within the Tub, and the Airwithout, If it be (aid, I fee a cleat reafon, why the outward Water ML, ought to fuftain the inward G I, but cannot fee, why the outward Air T ZS and VRX, ought to fu- ft-ain the inward Mercury R X: neither do I fee a reafon, why itlhould halracR, as the Water refts at.G. I an- fwer though fenfc amiiorperceive the one, as evidently ss the other, yet the one is as fure as the other. For tak¬ ing up the reafon why it halts at R, 29 inchesabove X, youmuftrememberfrom the 25 Theorem, that the Prelfore of the Air upon Bodies, is equivalent to the weight of 54 foot of Water perpendicularly, or 2 9 inches ef Quick-filver, The Pillars of Air then TZS, and VRX,' being as heavy each one of them , as two Pillars of Mercury, each one of them 2p,inches high, it follows of neceflity, that the Mercury within the Tub, muft be as high as R. : Tis no wonder to fee the S/AwhaltatR, provided R X, and Z S, werettvo bulks of Mercury, en¬ vironing the Pipe, as the outward Water environs the wider and narrower Pipe. Neither ought any to wonder, when the Silver falls down, and refts at R, nothing envi¬ roning the Pipe but Air, feing the Prelfure of the Air is equivalent to the weight of 29 inches of Quick-fiver. ipi'6}ott attcai CE petlmentg. « This Experiment is eafily«ade: take therefore a Sender Glafs*pipe of any length, beyond 30 inches, openatboth ends-, but the lower end Q, muft be drawn/o fmall by a fiame of a Lamp,that the entry may be no wider,than may admit the point of a fmall needle, or the hair of ones head. Then flopping the faid orifice, pour in Mercury above at the orifice N, till the Pipe be compleatly full. Next, dofe the faid orifice with wet Paper, and the pulp of your finger; and opening the lower orifice, you lhall find, .(which is very delightful to behold) the Mercury fpring out, likeunto a fmall filver threed, and falling down from the top N, fliall reft at R, the motion ceafing at the nar¬ row orifice Q. This fhews evidently, that there is not need alwayes of stagnant Mercury, for trying the Torricel¬ li m Experiment •, but only when the mouth of the Pipe below is wide: for being narrow, the jitver runs {lowly out, and confequently fubfides flowly above, and coming downflowly to R, there refls.. But when the mouth is wide below, the fiber falls down fo quickly, that it goes beyond R, before it can recover itfelf, which recovery would never be, unlefs there were ftagnant Mercury to run up again. From what is faid, we fee firft, that when one part of a Surface of Water or Air, is more burthened than ano¬ ther, the burthened partprefently yeelds, till it be no more burthened than the other. This is dear from the falling down of the Water from E to G, which cannot be fup* ported by the part I, becaufe more burthened than the reft. W.e fee fecondly, that the element.of Air, refts up¬ on the furfaces of all bodies wirh^aconfiderable weight; otherwifeit.could not fuftain the Water,, beforeatfall down from E to G: for if it did not reft upon the furface Fa MH, 44 fepmo ftattcai e spagfincms, M H, with weight,, the Water could never be fufpended* feing the application of the finger to the orifice E, is only the accidentd caufe of this Mentation, We fee thirdly, that according to the difference of natural weighty between two Fluids, fo is the proportion of altitudes be¬ tween, two of their CylindersithereforeAir being reckoned 14000 times lighter then Mercury, it followes -that the Cylinder of Mercury luftaine d by the Air,muft be 14000 times lower and (horter, than the Cylinder of Air that fbftaines itjwhich appears from this experiment to-be true,, feeing by the Preffure of the Air, which is thought to be about 7oooiathom high,20 inches of Mercury is fupport- edbetween R and X. In a word, if Air-be naturally 14000 times lighter thaw Mercury, which is verypro- bable 5 then muft the altitude of it, commonly called the Atmofphere , be fourteen thoufand times, nine and twen* ty inches, that is 406000, or of feet 33 833.. E X P E RI M E N T I 11- Figure 6 , W Hile the outward, and inward Water are of the fame altitude, withdraw the inward Air E G by fusion, or by any other device you think fit, and you will find the Water rife as high as E, which I fuppofe to be 3 4 foot above M G H,, The fame Phenomenon happens, in taking the Air out of the narrow Pipe F K. The rea* fon is ftill unequal Preffure 5 . for in removing the Air, that’s within the Pipe, the part of the furface ,M, and the part H, remaines .burthened , while the part G is freed of its burden; therefore this part of the furface, being libe- $ptyoftat(cal $jcpetirmnt& 45 rated of its burden, that came down through!' thePipe, irf- ftantly rifes, and climbs up as far, as the outward Air rett¬ ing upon M andH, can’raifeit, which is to E 34 foot* for the Preffure of the Air upon the furfaces of all Waters^ according to the 2 5 Theorem , being equivalent to the weight-of 34 foot of Water, mutt raifethe faid Watet in the Pipe 34 foot,You^do not wonder,why it rifes from I to G, as in the fii (^experiment; no more ought you to won¬ der, why it rifes from G to E, feirig the weight of the Air, doth the fame thing, that 3 4.foot of Water retting upon the furface M H, wojild do. From this experiment we fee firft,that the Preffure of the Air,- is the proper caufe of the motion of Water, uptho- row Pump and Siphons , or any other inftrument, that’s ufed in Water-worts of that kind- for if the weight of the Air, retting upon the furface M H be the caufe, why the Water climbs up from G to E, the fame mutt be the caufe ' why the ftagnant Water followes the Sucker of the Pump, while it’s pulled up. And thefame is the caufe, why Water afeendsthe Leg of a Siphon , and is-the caufe, why motion continues after fu&ion is ended. We fee fe* condly, that every Prelfmg Fluid hath a Sphere of aftivity, to which it is able to raife the Fluid, that is preffed. This is evident in this experiment, becaufe the Preffure of the Airreftingupon M H, isableto raife the Water, the hight of E in the wide Pipe, and the hight of F in the narrow, and no further, even though the faid Pipes were far longer: and this altitude and higheft point is precifely 34 foot between Air and Water, We fee thirdly, that ’tis all one matter, whether Pumps and Siphons bt wider or narrower,whether the tub of the Rarofcope be, wherein the Mercury is fufpended, of a large Diameter , or of a letter Diameter,. 46 l^ojoftaticai e ppctnnen ts. Diameter, This is alfo evident from the fame,experiment-, feing there is-na more difficulty in caufing the Water af- cend the wide Pipe, than in caufing it afcend the narrow one. And the reafon is, becaufe the preffing -Fluid re¬ peats-not the prefied Fluid, according to its thieknefs and breadth 5 but only according to its altitude. Therefore’its as eafie for the Air, to prefsup Water through a ‘Pump four foot in Diameter, as to prefsitup through a Pump, but oneioot in Diameter, EXPERIMENT IV- Figure 7. T His Schematifm reprefentsa large Veffel full of Wa- ter, whofe fitft and vifible furface is ,D E H K, The fecond, that ? s imaginary is,- L I, fix foot below it. The third of the fame kind , is M G, fix foot lower. T he fourth, is NFO, fix foot yet lower, Thelaft,and loweft,is ABC. There are here alfo four T ubs, or rather one Tub under four divers pofitions, with both ends open. After this Tub D A is thraft below the Water, till it af¬ cend , as high as D in it, lift it up between your fingers, till it have thepofition of the fecond Pipe E F, and then youfhall fee, as,the orifice of the Pipe afeends, the Cylin¬ der of Water fall out by little,and little,until it be no long¬ er than E F. Again,-lift it further up, till it have the po¬ rtion of the Pipe H G, then fhall you find the Cylinder ,of Water become yet (hotter. Laftly, if it be form ted, as the Pipe.K I,the internal Water becomes no logger than K I. Tkereafonsof thefe Phenomena are the fame name¬ ly unequalPreflbre 5 for,the Orifice A being lifted up .as $pD?o&attcai comments* 47 high as F, it comes to the imaginary furface NO, which, is not under fo much Preffure, as the other is. 5 therefore one part of it being moreburdened, than.another, namely the part upon which the Cylinder of Water refts, it pre¬ sently yeelds, and fuffers the Cylinder to become fhorter, and lighter, till it become no heavier, then is proportio¬ nable to its own ftrengch. To make this reafon more evi¬ dent, it is to be noted, that-no furface of Water is. able to fupport a Cylinder higher then its own deepnefs, that is to fay, if a furface be 40 foot deep, it is able to fuftain a Cy¬ linder 40 foot high, and no moretherefore the furface N O, being but-18 foot deep, it cannot fuftaim a Cylin¬ der 24 foot long .- for if that were, then the Potentia, fhould be inferiour to the Fondas, which is impoffible in the HjdroBaticks. In effect, it were no lefs abfurdity, then- to fay, 1 8 ounces are able to counmbalknce 9 4, For afecond trial, lift up the fame Pipe higher, till it acquire the pofition of the Tub G H- 5 in this cafe,' the Cylinder of Water within it, becomesyet fhorter, even no longer,. thanGH. The reafon is the fame, namely unequal Pref- fure *, for when a Cylinder of W ater r 8' foot high, comes to reft upon- this furface, that Is but 1 a foot deep, it makes one part of it more burdened then another; therefore the part that is more preft, prefently yeelds, and fuffers the Cylinder to fall down, till the Pondmoi it, become equal to its own TotmUi For the la ft trial, lift: upthe Tub. till it acquire the pofition of the Pipe KI: in this cafe,the Water within it becomes no longer then K I, the furface LI, that is but fix foot deep , not being able to fuftain a Cylinder 12 foot high. .. From this Experiment we fee firft^ that inalj Fluid B and fuch like, I muft fuppofe this Water to be 50 inches deep,and theTub I A,and BE 50 inches long: and the faid Tub in reclining., to deferibe the quadrant of a Circle PEG. Now the queftion is,wliy there being but 50 inches of Water in theTub,while'eretf- ed, there fhould be 60 in it, when it is reclined f Second¬ ly,why there fhouldbe 90 inches of Water in theTubB E, and but 50 in it, when it Hands Perpendicular, as DA r if you reply, becaufe there are 90 inflies in retta linen be¬ tween the point B, and the point E, and but 50 between A and D. But this will not anfwer the cafe ■ becaufe, if you flop the orifice E, with the pulp of your Finger, before it be ere&ed, you will find the Tab remain full of Water, even while it (lands Perpendicular ; and fall down; when the orifice is opened. Or, while the Tub (lands Perpendicular, flop the orifice I, and recline itas B^E; yet no more Water will be found in it,than 50 inches: but by utiftopping the faid.orifice, the VVater climbs up from R, to E,and becomes 90 inches. Now, what’s thereafon, G 2 why 5i ^pinoftatical experiments* why it runs up from R to E, and why it falls down from I to DC Ianfwerthen, the VVatermuft runup Irom R to E, becaufe of the inequality, that’s between the Pondm of the Cylinder B R, and the Poteniu of the furface of Water ABC, that fupports the faid Cylinder, For underftanding this, know, while the Tub is ereded, there is a peried equality , between the weight of the Pillar A D, and the force or Power of the furface that fuftains it, fe- inga furface 50 inches deep, fupports a Pillar 50inches high. But affoon as the Tub is reclined, there arifes ane inequality between the faids two parties, the Pondus of the Cylinder becoming now lefs than before. If you fay the quantity of the Water is the fame, namely 50 inches,' in the reclined Tub, as well as in the Perpendicular. I grant the quantity is the fame, but the weight is become, lefs. _Now the reafon, why the fame individual Water, is not lo heavy as before, is this ; there are 40 ounces of it, fupported by the fides of the Tub within 5 which were not, while the Tub was ereded: for in this pofici- on,the whole weight of the Cylinder refts upon the furface: but while the Tub isreclrned, the faid furface is eafed, and freed of 40 ounces of it 5 this 40, retting and leaning upon the fides of the Pipe within,. The furface then, finding the faid Cylinder lighter now than before, inftantly drives it up from R to E, 40 inches. And likewife, when the reclined Pipe is made Perpendicular, the Water falls down from I to D, becaufe of the inequality, that’s between the Ponhs of the Pillar, and the PotentU of the furface* this furface 50 inches deep, not being able to fupport a Pil¬ lar 90 inches high, for if this were, then one part, fhould be more burthened than another, which is impofiible, Itis tobeobferved, that by how much the more*, the ' Tub $p&jottatfcai Comments* # Tub is reclined from a Perpendicular, towards t he horizon¬ tal furface ABC, byfo much the more growes the in¬ equality, between the Pondus and the Potentia, and that ac¬ cording to acertaine proportion. Hence is it, that the‘ Tub being reclined from 60 degrees to 50, there arifes a greater inequality between the Pondus of the Cylinder, and the Potentia of the furface,than while it is reclined from 70 to 60: and more yet in moving from 50 to 40, than in moving from 60 to 5 o,and fo downward, till it be horizon¬ tal, in which pofition, the whole Pondus is loft. And con- trariwife, while the Pipe is elevated, the Pondus begins to. grow 5 and growes more, being lifted up from 10 to 20, than from x to 10;• and yet more in travelling from 20 to 30, than from 1 o to 20, and fo upwards, till it be Perpen¬ dicular, in which pofition, the Cylinder regaines the whole' Pondus and weight, it had. This proportion is eafily known, for its nothing elfe , but the proportion of Ferfed Sines upon the line F B; for according to what meafure, thefe unequal divifions become wider, and wider from go to r, according to the fame proportion does the Pondus of the Cylinder become lefs and lefs: and contrariwife,accord* • ing to what proportion the faid divifions become more and more narrow from 1 to 90, according to the fame meafure and rate, does the Pondus oftheCylinder become greater and greater. From this experiment we fee fifft, that two Cylinders ■ of Fluid bodies, differing much in quantity, may be of the' fame weight; becaufe though the Cylinder BEpo inches' long, be far more in quantity, than the Cylinder D A,' that’s but 50, yet both of them are of the fame weight, in refpeft ol the furface that fuftaines them; If it be faid, the one. is really, heavier, -than the other, notwithftanding of' 54 $p&* 0 ttat of the Air, thatcaufeth the Water to afcend ; and whe-’ ther it be the heat of the Air, or the lightnefs of the Air, thatcaufeth the Water to defcend? I have propofed this queftion of purpofe, to let you fee a miftake. Many be¬ lieve, that theafcent and defcent of Water in common Weather-glumes, is allanerly from the heat and coldnefs of the Air *, and therefore they conclude a cold day to be,be- caufe the Water is far up: whereas the Water hath afcen- dedfmce thelaft night, by reafon of a greater weight in the Air, which alwayes is, when the weather is dry, and calm, though there hath been no alteration of heat t.o cold. If it be asked, how come we to the knowledge of this, that the piefike and weight of the Element of Air, is fotne- times W?oftatfcaiejcpetfment& times lefs, and fometimes more f 1 anfwer, thisfecretof Mature, was never difcovered, till the invention of the Torricellian Experiment, otherwife called the Barefcefe, For alter the falling down of the guitk-fther to a g inches if you fuffer it to (land thus t in; your Parlour or Chamber, according as the Preffure, and weight of the Element of Air, becomes more or iels, fo will the Alti¬ tude of the Mercuiy become lefs or more, and vary fome¬ times above 2 finches, and fometimes below. This alte¬ ration is very fenfible, which is fometimes the tenth part of an inch, fometimes the fixth, and iometimes the third, according as the weight of the Air is lefs or more.. From December to February , I found the alteration become lefs and more from 30 inches to 28, which will be three fingers breadth. The common westker-glaffes then are fallacious,and deceitful, unlefs they be fo contrived, that the Preffure of the Air cannot affeft them, which is eafily done by fealing them Hermetically , and in ftead of common Water,toputin Spiritm Vim reSHficattfsimtKjx the moft excellent Spirit of Wine,and ftrongeft that can be made. It may be here inquired, whether or not,Mercury would' afeend in this Glafs, as the Waterdoes t ranfwer it would; becaufe the afeent depends only upon the Preffure of the Air, incumbing upon the ftagnant Liquor in the Veffell, that’s able to drive up Mercury as well as Water.. It may. be inquired fecondly, how fai Mercury will afeend, and how far Water will creep up t 1 anfwer, Mercury can af¬ eend no higher ina Tub, than 2 9 inches •, and Waterno' higher, than 34foot ; and thisonely happens^ when-there is no Air above the tops of the .Cylinder to hinder their : afeents. But when there is Air, as G F above the liquor,, itcan go no higher,, than the point to which the cold is- 6 ^ $ptyoftat(cai experiments* able to contrad the indofed Air, which is in this Glafs, the point F. It may be inquired thirdly, which is. the great¬ er difficulty, whether or not Mercury, will rife as ea% in aTub as Water; forfeeing, its retimes heavier, itfeemes the Air ffiould have greater difficulty to prefs it up, than to prefs up Water ' Ianfwer,’tisgreater difficulty for the Air to prefs up 20 inches ofMercury, than to prefs up 20 inches of Water ; yet its no greater difficulty, for the Air to prefs up ao inches of Mercury, than to prefs up 23 foot of Water, becaufe the burden and weight is the fame. It may be inquired fourthly, whether or not, it be as eafie for the Air, to prefs.up a thick ana grofs Cylinder of Water, as to prefs up a thin and flender one? For example, whe¬ ther is it as eafie for the Air to prefs up a .Cylinder of Wa¬ ter 10 inches in Diameter, and to foot high, as it is to prefs up one,two inches in diameter,and 10 foot high ? I anfwer, there is no more difficulty in.theone, than in the other; and the reafon is, becaufe Fluid bodies do not counter- poife one another according to their thickntfs , but only ac¬ cording to their altitude , according to the fourthTheorem. Therefore feeing the flender Cylinder is as high as the grofler, it muftbe no more difficult to the Air, to prefs up the one then the other. There is one difficulty yet remaining., which is truely the greateft of all 5 namely what’s the reafon, why its more difficult to the Air, to prefs up 20 inches of Mercu¬ ry, than to .prefs up 20 inches of Water: or more difficult to the Air, to prefs up 20 inches of Mercury, than to prefs up 10 ? I anfwer, this comes to pafs, becaufe the Air is more burthened with 20 inches ofMercury, than with 10, Now, if this be, then finely it muft be more hard to the Air, to do the one, than to do the other.- even as it is more hard $ptyoftatical e*periment& 6 $ hard; fora man, to lift up from the ground, 20 pound of iron, than to lift up to or 15, Thecafe may be better il- luftrated after this manner. Suppofeaman ftandingonthe ground, with a rope in his hand, coming down from a Pul- ley above, drawing up a weight to the top of the houfe; put the cafe ltkewife, the weight be a ft one,of 20 pound, and the weight of it, to increafe fucceffively., as it is pulled up. Now its eafie for the man to pull up the ftone the firft fathom; becaufeitisbut 20 pound weight: but the ftone becoming 40 pound in the fecond fathom, and 60 in the third,and 80 in the fourth and fo forth, untill it be¬ come 1 coo, he will find the greater difficulty,the longer he pulls. Tis juft fo with Air,.or Water, raifing Mercu¬ ry in a. Tub •, for as :the Cylinder of the Mercury grows higher by rifing, fo it becomes heavier, and confequently the imaginary furface, upon which the B«fe of the Pillar refts,is more and more burdened,and fo becomes kfs and left able to prefs it up. This leads us to a clear difcovery of the reafon, why ’tis more difficult by fusion, to pull up Mer¬ cury in a Pipe, than to pull up Water; and more hard to fuck up ten foot of Water, then to fuck up five. For trial of this, which is foon done, take a flender Glafs*pipe 50 or 40 inches long, open at both ends, and drown the one end among uick-fiber, and put your mouth to the other, and having fucked, you will find greater difficulty to pull up thorow the Pipe 15 inches of Mercury, than to pull up 1.0, or 8; and far greater difficulty to fuck up 20, than to pull up 15. It may be obje&ed, that if a man had ftrength fufficientin his Lungs, to fuck out the whole Air of the Pipe, thirty inches of Mercury would come as eafily up, as three, which feemesto prove, that the difficulty of the Mercurit’s up-coming, depends not upon the weaknefs of I the the Air,but upon the weaknefs of the Lungs,, and want of ftrength to fuck, I snfwer, chough a’ man. were able, to fuck out the whole Air of the Pipe' yet jo:inehes,.willnei- ver afcend foeafily,as ten,nor ten fo eafily as three-andithat for the reafons already given, But why is it then, ( fay you ) thst the ftronger the (uftion be, the higher the Mercuiyafcends intheP-pe? Ianfwer, the fu&ion ferves for no uie, but to remove the impediment, that hinders the Mercury from coming up , which isnothing elte-, but the Ai: within the Pipe. Now , the moreot this Air that’s 1 taken away by fudhon, ( the ftronger the fusion is, the more Air is taken away) the farder up comes the Mercury. But why ought there to be difficulty ;n the fufhon ol Mer¬ cury, to the altitude of i j or 20 inches , more than in the fuftionof Water to that altitude r I anfwer, when I fuck- Water up thorow a Pipe, the fusion of the Air above it, is e: fie 5 becaufe the afeending Water helpes much to drive it up to the mouth , the outward Air driving up both. But the futtion is difficult in Mercury, becaufe the atten¬ ding liquor, does not help fo much, to drive up the Air to themouth, as the Water does. And the reafon is, be* caufe the Air,being more burdened with 15 inches of Mer¬ cury, thmwich 15 inches of Water, cannot fo eafily drive up "the one as the other, and fo Mercury cannot fo eafily drive up the Air of the Pipe to the mouth, as Water does. In a word , accordingtothe difference 0 {fyecifick weight, between Wirer and Mereuiy, fo is the difficulty of fusi¬ on • therefore, becaufe Mercu-v is 14 times heavier than Water,there is 14 ttmes more difficulty, to pull up the one, t-^n rhr other, Note, that [action is not taken here ftrift y, ascontradift ngudhed from pulfm j but in a large feme, as may comprehend it,- To is^tyoftatical cgperfmMh 67 To proceed a little further 5 letius fuppofe.thePillarof Mercury (fee the n. Figure.) Graife, i^.moe: therefore if it be as able after. 20, .as;afterno., it: mufti raifeiip after 20. Yea, if it be as able .after.a.o^as.iQ, it miifeb^as 12 able 68 ^pDjoftatfcai experiments* able after 19-is 10. If this be, then it may raife other 2p, and a third 29, and fo in infinitum. Therefore, Icon, dude, that when two Fluid Bodies are mequilibrio one with another; or when the pondus is equal to the poten- /w,none of them doth a&ually prefs upon another, at leaft the furface hath loft all its Power and Preflure, which is alfo evident in the Pillar. For underftanding this, let us fuppofe AC B ( Figure 11.) tobeaPipe 58 inches long, and full of Mercury, and every inch of it to weigh one ounce; Now, when the orifice D is opened, there is here as great an inequality-, between the pondus and the potentia of the furface of Air EB, on which it refts, as was be¬ tween the furface F G, and th t pondus of Mercury H G. For as F G had 29 degrees of power to raife G H, fo the Pillar A B has 29 ounce of weight, to overcome the fur- face EB. And as the furface F G, became one degree weaker,by raifing one inch of the Mercury H G, and two degrees weaker, by raifing two inches, and fo forward, till it loft all its Preflure $ fo the Pillar, by falling down one inch, lofeth one ounce of the weight; by fallingdown two/ it lofeth two ounce , and fo forward, till by falling down from A to C, it lofeth all its Weight and Preflure. But here occurreth a difficulty ; for if the furface F G, hath loft all its Preflure, by raifing the Mercury from G to H; and if thePillar C B,hath loft all its Preflure, by fall¬ ing down from A to C *, it follows, that when a pillar of a Fluid, and a furface of a Fluid are in equal termes, or brought to an equipondium, there is no Preflure in them at all. For anfwer , confider firft, that in all counterpoifes, there are neceffarily two things, the movens and the mo- tamy the thing that moves, and the thing that is moved. Secondly, you muftconfider the motum y to have a pondus or $pD?oftaticai ejcpertimnts, 69 or weight in if,and the movens to havea fotentia ',or power J wherewith it moves that weight. Thirdly, that as the thing that moves, hath a power or force in it felf, whereby it moves, fo the thing that is moved hath a power or force in it felf,whereby it relifts the motion.FourthIy,that fome- times the refiftance of the thing moved, may exceed the power of the movent , as when a Quarrier with a Leaver, endeavours to prize up a ftone too heavy for him: or the power of the movent, may exceed the refiftance of the weight or both may be of equal power. Confider fifth¬ ly, that as the pondus of the thing moved, begins to grow- more and more,fo the power of the «?m»rdecreafeth pro- portionably; not abfolutely , as heat is extinguifhed in Water by the cold Air, when it is removed from the Fire, but refpeftively. For example, when a man holds a bal- lance in his hand, with fix pound in the one fcale, and but one pound in the other, if you add another pound, the weight grows more, and the power and force of the oppo- fite fcale grows lei’s proportionably; not ahfoluiely, for it ftill remains fix pound,but refpecUvely: that’s to fay, fix pound is lefs in relpett of four, than in refpedl of five; or the refiftance of fix pound is lefs, two counterpoifing it, than being counterpoised by one. Whena third is added, the weight grows yet more,and confequently the refiftance of the oppoifite fcale becomes yet lefs, till by adding the fixth and laft pound, you augment and encreafe the von dm to that fame degree of ftrength, that the refiftance of the oppofite fcale is of. . From thefe confiderations, I fay, the furface of Air FG, hath not loft all its Preffure Ab¬ solutely, by raifing the Mercury from G to H, but only reflectively, becaufe it ftill retains 29 degrees of force in ! it. felf,. I ..fay . reflectively , becaufe when the Mercury is • raifed- 70 ifwftattcsi Cjcpecmmus* Faifed tea inches, the.power of-the Air which is of 29 de¬ grees of force, is lefs in refpedtof ten ounce, then in refpeJt of five; or the power of 29 degrees of force is-lefs, being counterpoifed by ten ounce, than-being counterpoifed .on* ly .by:fivE, And when.it is.raifed 20, it is yet lefs in this refpedt, than in refpeff of ten. And when it has tailed the Mercury to the greateft altitude H, it may be faid to have loft-all ics-Preffure, feing it knot able, by vertue of a counterpoife,to do anymore. Even as fix pound in this -fcale, may be faid to have loft all its refiftance and weight, by putting in the other fcale , firft one pound, next two pound, and then three pound, till the laft be put in, at which time it.hath no more refiftance. Though this be, yet.it ftill remains fix pound. Even fo, the Air F G ftill remains of the fame force and power, while it fufpends the Mercury G H, that it was of before. Likewife, the Pillar A B, cannot be faid to have loft all its preffure abfo- lately, by falling down from A to C, but only refiefiively, became the faid Pillar C B, is ftill 2 9 ounce weight. I fay rtfye&'-vely, becaufe in falling down ten inches, or in lofing ten ounce , the weight that’s now but 48, is lefs, in refped of 29, than while it was 5 8. It is yet lefs,when it hath fallen down other ten, becaufe being now but 3 8, it muft be yet lefs imefpeA of 29, than .48. And when it hath fallen:down to C 29, it may be faid to.have loft all its weight, becaufe it can do no more, having nfiefiively loft all its Preffure, From what is faid , we fee a clear ground to diftinguifli in Fluids and a ptentia. Secondly, thatthe;^- tcntia mayfometimes^exceed the-pWw, and contrariwife ths.f ondus may exceedthe fotentu. Thirdly, that me- quality of weight, between.thepwdkr and die pteniu, is the ^pcioftattcai fiwtmmm. jt the caufe of motion of Fluids; Fourthly, that the mo¬ tion never ceafetlr, tillthepW^andthe petentia become of equal force. T his conclufion is nor fo univerfafas rhe reft, becaufe the motion may fometimes ceafe, beforethis be. For example, when the Airis pre fling Mercury up thorowa Tubflrorter then 2p inches, the motion ends before there be a perfedi counterpoife 5 for 20 or 15 inches of Mercury, can never counterbalance the force and power of the Air. In fuch a cafe then, there is an unequal Pref- fure, the Air piefling the Mercury more,than the Mercury doth the Air, EXPERIMENT VII E Figure x,. T Ake theVeflel ABCD, and fill it with Water, ashighasHI. Take next a Cylinder of ftone FGj and drowning the half of it among the Water, fufpend it with a chord to the beam N O, with a ring at E. Now in this cafe, though the ftone do not touch the bottom of the Veflel, yet the Water becomes heavier, than before. For difcovering the truereafon of this, I fuppofe fuftj the weight ot the Water, before the ft one be drowned, to be ' 40 pound. I fuppofe next, that after the (lone is drown¬ ed, the faid Water to weigh 50 pound. And laftly, the J,lone to weigh 60 pound. I fay then, the Water muft be to pound heavier thanbefore,becauleit fupports to pound of the (late, ’Tis certain the beam is lefs burdened by 10 pound than before. If this be, then furely the Water muftfuftainit. It were great temerity and ralhnels, to averr that neither the Beam >, nor the Water fuftains it, which 7 i §pojoftattcai ejectments* which is really to (ay, it is fuftained by nothing. It cannot be faid without ignorance, that io pound of the (lone is evanifhed, and turned into a Chimera, If it be faid, how can fuch a Fluid Body as Water, be able to fapport any part of the weight of the / lone , that is fuch a heavy Body i I anfwer, there is here no difficulty, for if the imaginary furface K L, upon which the io pound of the flone refls, be able to fuftain io pound of Water (I fuppofe the /lone taken away, and-the place of it filled with Water) then furely it muft alfo be able to fuftain i o pound of the heavi- efl metal ; feing ten pound of Lead, or Gold, or Stone, is no heavier than io pound of Water. If fome fay, this rather feems to be the reafon, why the Water becomes heavier, after the flone is drowned, becaufe it pofTefTeth the place of as much Water, as would weigh io pound • not (as was faid) becaufe the Water fupports xo pound of it. Therefore it maybe judged, and thought, that if the fpace that the (lone occupies, were filled with Air, or fome light Body, without fenfible weight, the Water would become heavier than before. For example, if in Head of the (lone, there were placed a bladder full of wind, within the Water, and tied to the bottom with a firing, that the furface might fwell from HI to A B, the Wa¬ ter of the VefTel would become as much heavier than be¬ fore, as is the bulk of Water, equal to the quant'ty of the bladder. Therefore, the Water becomes heavier, not becaufe it fupports any part of the (lone, but becaufe the flone occupies as much room and fpace , as would contain io pound of Water: for by this means the drowned flone- raifeth the Water from HI to A B ; and fo the Cylinders AC, and B D, being higher, prefs with greater*weight upon the bottom C D, even with as much more weight, as %gt»oftaticai gtpttimn its, 7} as if the fpace that the (tone occupies were' filled with Water. For anfwer to this, we fliall make this following Expe¬ riment, Take the Veflel M P V X, and fill it with VVa- ter to QR. Next,take a large bladder W Y .full of wind, and tying the neck with a threed, thruttit below the Wa* ter, and fatten it to the bottom, with a firing* to the Ring Z. This done, the Water fwells, and rifes from Qjf, toMP, Now, if it be true, that the Water in the Vef- fel becomes heavier., not becaufe it fupports 10 pound weight of the (lone, but bccaufe the ft one occupies the room of 1.0 pound of Water; then it ought to follow, -that after the bladder is ryed below the Water, the faid , Water (hould become heavier, than before, even by three .pound; for I fuppofe a bulk of Water,equal to the bulk of the bladder, to weigh as much. And the reafon is, becaufe (as you fay)the quantity of the bladder W Y,makes the wa¬ ter fwell from QR to M P, by which means the Pillars of Water M V,and P X becomes higher,and fo prefleth with greater weight upon the bottom V X. For clearing this difficulty, I fay, when a bladder is thus below the Wa¬ ter, tyed to the bottom, the Water becomes not three pound heavier: for when you place the Veflel with the Water and bladder, in the Scale of a Bailance, the faid .Water weighs no more, than if it wanted the bladder: .therefore the Water becomes not heavier, becaufe the (lone poflefleth the room of 10 pound of Water,but bccaufe the Water fuftains 10 pound of the (lone, Nov/ the reafon, • why the bladder makes not the water heavier, though k raife it from QR to M P, is this; becaufe though verily there be a greater Prefl'ure then before, even upon the bottom ol the Veffd, yet becaufe moe parts are nowdded ^ K the 74 atlcai expert mente* the natural weight cannot be augmented, which eflential- Iy depends upon the addition of thefe parts. If it be replyed, the Experiment of-the bladder is to no purpofe, becaufe it being knit to the bottom.pulls up theVeflel, with as great force, as the growth of the-Preflure bears it dawn, andfo the Bladder cannot make the Water heavier. But, if fo be, it werepoflible, chat the Bladder could remaine within the middle of the Water, without being knit to the bot¬ tom, and confequentiy without pulling up the Veflel,,then forely the Pi’lars of W £ter M V, and PX, beinghigher, would prefs with greater weight upon the bottom, and fo makethe VefTel, and the Water weigh more in the bal¬ ance; for ’tis to be fuppofed, that during all this time, this Veflel with the Water, is in one fcale, and a great weight of ftoae or lead, in-the other. So would the Water A -B-CD become heavier likewife, provided the fpace and room, that the fione fills among the Water, remained in¬ tire, after the ftone is taken away: becaufe that room and empty fpace remaining, would keep the furface, as high as AB., by which means, the Pillars AC and B D, be¬ ing higher, would prefs with greater weight upon the bot¬ tom, and caufe the Water weigh more intheballance.’ lanfwer, though by fome extraordinary power, the bladder could remain below the water, of its own accord, as it were, and though the fpace and room, by thatfame/ww, which is left by the (lone , were keeped empty, yet lhali they never be able to make the Water heavier. Astotherea- fon, that’s brought, lanfwer, the riling and fwelling of the Pillars, will make indeed a greater Preflure upon the bottom of the Veffel,but becaufe this Preflure may be pro¬ duced, and generated without the addition of new parts, therefore, it can never make the Water heavier: for if this C^D?oftatM#]cpef tmentg* 75 were true, then it would follow, that the more a body is compreft, it ihould be the heavier, which is contrary to fenfe, and experience. This Prefiure is like unto Senftl , that cannot weigh in a ballance, though the thing bended do weigh ; as a Bow that weighs fo many poaadsbut the Benfil of it weighs nothing : Next, will any man think* that a Cub ot Water fix loot high, and fix foot thick, will weigh more in a ballance, then it did, alter it is turned into a long fquare Pillar a 1 6 inches high i I grant,there is near 60 times a greater Prefiure, upon the bottom of the Vef- fel,yetbecaufethis Prefiure is generated,without the addi¬ tion of new parts, it cannot make the Water heavier. Moreover, it is mechanically poflible to keep theVVater ST V X, under that fame degree of Prefiure it hath, thoiigh the reft above were taken away: if this be, then it ought to be as heavy, as the whole, feing it ftill Prefies the bottom, with that fame degree of Prefiure, it had from the whole: but what is more abfurd, than to fay, one part of Water,is as heavy,as the whole t e, g, a pint as heavy as a gallon. If it be faid, the Prefiure, and the weight, are but one thing, at leaft effeflively, which is fufficient to the purpofe in hand, as is clear from the Theorem 23. I an- fwer, they are but one thing indeed, in order to the Sal- lance of Nature, but they ixt timberfor mdlly,mx effdlhely the fame thing in order to the -Libra or Artificial Ballance, whereof we are now treating, I lhall conclude with this $ while the Vefiel with the VVater, is thus placed in the Scale of the Ballance, and in equilibria, with theoppofice Scale, cut the firing that tyes bladder to the bottom, and when it comes above, you will find the Water, juft of the fame weight it was of: for though the furface MP, by taking out t-h adder, fettle down to Q.R, yet there’s K 2 no 76 gppjoft attcal e tpectments, no alteration made in the weight. 'From this I - gather, that if the fwelling of the Water (hould make it heavier, then the fubfiding and falling down of it, ought to make it-lighter.. From-thefe Experiments we gather firft,that in Water there is a PrefTure, becaufe it fuftains i o pound of the float F G. Secondly, that whatever heavy body is weighed in-Water, it lofeth juft as much of its weight) as the bulk of Water weighs, it putsout-of its-place. This is evi¬ dent, becaufe the float is io pound lighter in Wateri than in the Air, becaufe the Water that would fill the room of the float, is juft of thatweight. We fee third¬ ly, that the Prejjure of Water, and the natural weight of it, are two things really diftind', becaufe the Prejfurt may be augmented, without any increment of the natural weight, VVe fee fourthly, that the PrcfjW, or Benfil ot a Fluid, cannot affeft the Scale of a Ballance, but only the natural weight. We fee fifthly, that a body naturally heavier than Water, weighs- in Water , becaufe the (lone FG, makes the Water about it, i o pound heavier. If it be inquired,whether bodies, that are naturally lighter, will weigh in Water i I anfwer,if they be of any fenfible weight- they weigh, as well as the other. For this caufe, I except Air. For though they were never fo light- in relpeft of Water, yet if they have any confiderable- gravity with them, they will make the Water heavier, they are among. Put- the cafe the Body -were a Cube of Timber of fix inches,weighing fixteen ounces, and that a Cube of Water of that quantity, weighed 112 ounces. Here’s a great ine¬ quality,between their natural weights : yet if that piece of Timber, were madetoexift in the middle of Water, as the Biaddtrdoih, it would make it 16 ounces heavier. $pt>?o&at(cat experiments* 77 The reafon is thisjthefe 1 6 ounces are either fupported bya furface ofWater,or they fupport themfelves.Thislaft isim- pDiTible, II the Water fupp'Ortthem,then muft they make the faid Water itfounces'heavier. Note, that though a' Body naturally lighter then Water, as Cork , may' be faid to weigh in Water, that’s to fay, to make it heavier, in which fenfe Water weighs in Water , becaufe if you add a pint to a gallon, it makes it heavier 5 yet if you take a piece of Cork, and knit it to the Scale of a BallancC, by a threed, the Cork hanging among the Water, the Scale hanging above in the Air, it will nor. weigh in Water ; be¬ caufe in this fenfe, no Body weighs in Water , but' that which is naturally heavier then Water,as Lead.or Stone; In this fenfe, VVater doth not weigh in Water ,. as will be feen in the 17 Experiment.. EXPERIMENT IX- Figure 13.. T akeaGlafs-pipe 70 inches longer there-abour^nd of any widenels, having the upper end H, hermetically ‘ fealed, the lower end C compleatly open, and fill it with Mercury, and caufe a Diver carry it down to the ground ofthefea M N, where I fuppofe is Handing theVeflel ABDE with ftagnant Mercury, and drown the end below the furface AB. This being done, the Mercury falls from the upper end H, to the point G, and there halts 5 the fpace HG being empty. For underftanding ' this Experiment, I fhall propofe feveral queftions, and an- fwere them, Firft, what’s the reafon, why the Mercury ’ fubfides, and finks down from H to G ?I anfwer, as for¬ merly^ 78 ^moftattcal ewitniim. aerly in the like cafes, inequality of weight between the fonim of the impending Quick-fiber , and the Potextia of the furface, of the ftagnant Quick-ft her D C E. For while the Tub is compleatly lull, the weight is fo great, that the furface D C E, is not able to fuftain it, therefore it muft fall down, feing motion neceffarily followes in Fluids, upon inequality of weight. It may be inquired fe- condly, why it halts at G, 5 8 inches from AB , and comes no farther down i I anfwer it halts at G, becaufc when it hath fallen down to that point,there happens equa¬ lity of weight, between the fufpended Pillar, and the fore- faid furface: for whatever weight the faid Pillar is of, the furface on which it refts, is of the fame. In a word, the Fondiij of the one, and the Potentia, of the other are now equal. For undemanding this, confider according to the 25 Theorem, that the weight of the Element of Air, up* on the furfaces of waters, is equivalent to the burden of 34 foot of water, therefore the firft and vifible furface of this Water LIK, is really as much preft, with the burden of the Atmoftherc , as if it had 34 foot of Water upon it. Confider next,that between the faid furface,and the ground MN, are 3 4 foot of Water indeed, Confider thirdly, thata Pillar of Water 34 foot high, is exa&lyof the fame weight, with a Pillar of Mercury 29 inches high • for if Water be 14 times lighter than Mercury, then they cannot be of equal weight, unlefs the one be 14 times higher than the other. Now,fuppofing the weight of the Air upon the furface LIK, to be equivalent to 34 foot of Water, or (which is the fame thing) to 2 9 inches of Mercury, the furface 6f the ftagnant Mercury AB, muft be its much burdened with the incumbing Water, and the Airtogether, as if it had really refling upon it, a Pillar of Mercury % )ta;oqat SypcKromts. _79 Mercury 58 inches high. If this be, then it follows by Beceffity, that there muft be an equality of weight, be¬ tween the fendus of the Mercury in the Tyb,and the fotentia of the furface DCE ; Or (which is aH one thing) that the partC, on which the Pillar refts, is no more bur¬ dened, than the part D or E. For if 34 foot of Water, and 34 foot of VVater, be equivalent for weight, to 58 inches of Mercury, then muft the part D and E, be as much burdened with the faid weight, as the part C is bur¬ dened with the Pillar within the Tub, feing both are of the fame height: therefore the power, and force of the imaginary furface of the ftagnant Mercury D C E, is of the fame ftrength, with the weight of the Pillar G F B. And this lets us fee the reafon, why the whole 70 inches cannot be fufpended 5 for if the outward PrefTure that’s upon A B, be but equivalent to the Preilureof 58, it can never make the furface D C fi able to fupport 70. To make it evident (if any doubt) that the Mercury is fufpended by the weight of the Water, and the weight of the Air fuperadded, let a Diver bring up this Engine to the top of the Water, and he will find the one half to have fallen clown, namely from G to F, the other half F B remaining. And if it were poffible, to convey this Experiment to the top of the Air, the Beater would fee, the remaining half to fall down likewife, and become level with A B •, for where no PrefTure of Airis, there can be no Mercury fufpended. This falling down, is not all at once, but by degrees, and keeps a proportion with the Preifure of the Air, that grows lefs and lefs, from the ground to the top. From this Experiment we fee firft, the great PrefTure and weight, the Elements of Air and Water are under,. . feing go %gOEO( tat(cai e jectments, felng this Water, that’s hot 34 foot dcepffuftains the Mer¬ cury berweea G andF, 2 9 inches, as much between F and E,being kept up by the Preffure of the Air. We fee fecondly, that this Preffureis according to Arithmetical Progression , as 1,1, 3,4, 5. becaufe in going down the firft 14 inches, theMercury rifes one inch- ? in going down tire fecond 14 inches, it riles two 5 in going down the third r 4 inches, it rifes three, and fo forward. We fee third¬ ly, though a Water were x 00 fathom deep, yea 1 000,yet the Preffure of the Air above is found at the bottom: for fuppofing this Experiment were 100 fathom deep, yet would the Air from above have influence upon it, to fu¬ ff ain fo many inches of the Mercurial Cylinder. A Diver then, 1 o or 1 j fathom under the Water,muff be burden¬ ed with the weight of the Air, as well as with the weight of the Water, fo mult the Fifties, though never fo deep. We fee fourthly, that the parts of a Fluid cannot ceafe from motion , fo long as there is an inequality of weight between the fondus and the fotentia. This is clear from the falling down of the Mercury from H to G. And affoon as equality of weight happens, the moti¬ on ends. This is clear from the Mercurie’s halting at G, Fifthly, that in Mercury, as well as in Water, or Air, furfaces may be diftinguilhed, and that thefe furfaces, are endowed with a Potentia or power, begotten in them by fuperior and extrinfick weight. This is clear from the imaginary furface D C E, that’s made powerful to fupporc 58 inches of Mercury in the Tub, and that by the weight and Preffure of the Air reft ing upon A B. Sixthly, that, as two Fluids differ in fj>ecifck and natural weight, fo .they differ in altitude , when they counterpoife one another. This is clear from the difproportlon that’s between the al¬ titude $ptyoftatfcai ejcpertente* sc titude of the Mercury fufpended, find the height of the Water, and Air fufpending, G F then is 29 inches, and the deepnefs of the Water from K to N is 34foot,becaufe Water is naturally 14 times lighter than Mercury. F B is likewife 29 inches, and the hight of the Air, that refls upon the furface of Water is fix or feven thoufand fathom high; becaufe Airis 14000 times naturaSj lighter than Mercury. Seventhly, tnat Fluid Bodies counterpoife one another, not according to their thicknefs and breadth , but only according to their altitude. This is evident * for though this Tub were never fo wide or narrow, yer the al¬ titude of the Mercury is unchangeable. Hence it is, that the tbickeft Pillar of Water in the Ocean, is not able to fufpend more Mercury, than the flendere /?, I mean as to altitude. And hence it is, that the fmalleft Cylinder of Mercury, no thicker than a filk threed, is able to coun¬ terpoife a Pillar of Water, of any thicknefs whatfoever. We may conclude laftly, that when a Diver is 20 fathom under the Water, he is under as much burden, as if he were under 14 orT 5 foot of Quick-filver, Suppofea raanlying on his belly, within a large Veffel, and 1401-15 foot of Mercury poured in upon him, furely it may be thought, that fuch a burden were mfupportable. But put the cafe, the Diver were down 40 fathom, then muft the burden be doubled. This follows, becaufe if a Pillar of Water 34 foot high, with the weight of the Air fuperadded, be as heavy, as j 8 inches of Mercury, then furely a Pillar 20 fathom high, or 100 foot, muft be as heavy as 170 inches, which is more than 14 foot. L •EX PE- Si ^pfyoft atical EXPERIMENT X- Figure 14. A Gainft the former Experiment, there occurres fome . difficulties, which mult be anfwei ed. As.firft, if it be the Preffiire of the Water, that fuftains the Mercury in the Tub (fee the 13. Figure)- then the weight of the {aid Mercury ought not to be found, while the Tub is.poifed between a mans lingers... But fo k is, that when a Diver grips the Tub about the middle-, and raifes it a little from the bottom of the Veffel, he not only finds the weight of the Tub it felf, but the weight alfo of the 5? inches of Mercury that’s within it. But this ought not to be,if the feid Mercury, be fuftaiaed by the outward Water. In a word, it ought not to be found, becaufe the- fhid Pillar o£ Mercury, 2s really franc's, and refrs upon the imaginary fur- fece D C E, as. a Cylinder of Brafs or Stone, refts upon a plain Table of Timber or Stone. If then, itbefupport- ed by the {aid furface, why ought I to find the weight of it, when I lift up the Pipe a little from the bottom of the Veffel ? Por clearing this difficulty, confider, that when the Mercury falls down from H toG, it leaves a fort of vacuity behind it, wherein there is neither Air nor Water. Confider fecondly , that for this caufe, there happens an unequal preffnre 5 the top of the Tub without, being bur¬ dened with the Pillar of Water I H , which: actually preffeth it down, and nothing within between G. and H, that may counterbalance that downward Preffnre. Thefe things being confidered, I anfwer to the difficulty and fay, it is not the weight of the fufpended Mercury that I find, but the weight of the Pillar of Water IH, that refts up- ' ” on eflspettmttits* S3 on the top of the Tub, If it be faid, the Preflirreof fi Fluid is i»\tn(ibk % and cannot be found... I anfwer>it’strue, when the PrefTure is ecpial and uniform, but not when the Preffure is unequal, as here. Hit be asked, how corn® it to pafsj that the Pillar of Water IH, is. exa&ly the weight of the 5 8 inches of Mercury * I anfwer, befides the faid Pillar, there is another of Air, that refts upon thfc top of it, which two together are exa&ly the weight of the fufpended Mercury 5 I H being of the fame weight with the Mercury G F, and the forefaid Pillar/of Air, being ol the fame weight with the.Mercury F B. To make it more evident, remember that one inch of Mercury, is exa&ly the weight of 14 inches of Water 5 and that one inch of Mercury, is of the fame weight with 14000 inches of Air, If this be,‘ then mull the Pillar of Water IH, that's 34 foot high, and of the fame thicknefs with the a 9 inches of Mercury G F, be of the fame weight with it, feing 20 indies are to be found 14 times in 34 foot. For the fame reafon, is the Pillar of Air, namely S i, that refts upon the top of the Pillar of Water IH, of the fame weight with the 2 9 inches of Mercury F B. For after a juft tec* honing,you will find, that 20 inches will be found 14000 times in the Pillar of Air, that refts upon the. Pillar IH. Or in a word, the highc of the Air is 14000 times, 20 inches. . . • : But hereoccurrs another difficulty. Let us fuppofe there were a Tub fix foot high, one inch wide, having the (ides, 3 inches thick. Imagine likewife the faid Tub to be un- der the \yater ; 3 4 foot, with 58 inches of Mercury in jt, 2 s isreprefented in this. 14 Figure.'.:This' being fuppo fed* the Pillar of WaterFtAFC.GD, mHll.be far heavier, than the 5 8 inches of Mercury HB. ’The reafon is clear, L 2 becaufe §4 ^ptyoftattcal Comments, becaufe thefaid Pillar, is not only 34 foot high-, bat as thick, as the Diameter of the Tub, whofe fides are three inches thick.' lanfwer, the whole weight of that Water E A F C G D is hot found, while a man- poifes the Tub between his fingers, but only the weight of the part G A, which is exa&ly the weight ol the Mercury H B. But here occarrs the great queftion, namely, why I find only the weight of the Water G A, and nothing of the weight of the Water, C E, orDF? lanfwer, Icannot find the PrefTure of the Water C E, becaufe it is counterpoifed with the upward PrefTure of the Water IK. And for the fame reafon, Icannot find the weight of the Water D F, becaufeitisconnterpoifed by LM-* but becaufe there 19 nothing between H and A, to counterpoife the downward PrefTure of the Water G A, therefore I find that. If ic be obje&ed, that the Water IK, cannot counterpoife the Water C E, becaufe the one is farder down than the other, and confequently under a greater PrefTure, than the other. lanfwer, though IK be ftronger than C E, yet a compenfation is made by the weight of the Tub. For undemanding this,let us fuppole theWater C E,and D F, toprefs downward with the weight of fix pound, and the¬ Water K I, and L M, to prefs upward with the weight of ten pound, there being four pound in difference. Sup* pofe next, the Tub to weigh in the Air ten pound, and in the Water only fix pound. If this be. then according to the eighth Experiment, and eighteencn Theoreffl, four pound weight of the Tub muft reft upon the furface IL, And if this be, then muft the Water IK, and LM, be four pound weaker with the Tub, than without it, and muft only have fix pound of upward PrefTure,. From fo ptyoftatt cflt ejcpenment& ar From tlicfe Experiments we conclude firft, the truth of the tenth Theorem, namely that the weight of a Fluid is only found by fenfe, when the Preffure is not uniform, and equal. This is evident from our finding the weight of the Pillar of Water IH, as in the 13 Figure. We conclude fecondly, that in all Fluids, there is a pndus and a potcn* i tia ; as is clear from the fondus of Water E A F C G D,; that prefleth down the Tub, and the fotentia of the Wa¬ ter IK L M, that prefleth up the fame Tub. We fee thirdly,, that there cannot be two furfaces of Water dif¬ fering in altitude, but they muft differ in degrees of Pref- fure: becaufe the furface E A F, is weaker, than the fur- face IL, that being higher than this. We fee fourthly,! that two furfaces differing in ftrength, may be made equal' by fome Body or other interveening 5 becaufe,though IL be ff longer than E A F, yet feing it fupports four pound of; the Tub, it prefleth up with no more force, than EA F," prefleth down with. We fee fifthly,that a Body fufpended in a Fluid, as in Air,or in Water, may have one part of it preft equally with that Fluid, and another part unequally: this is evident, becaufe the parts E and F, are equally! preft with the Pillars C E, and DF, feing this PreP fure is counterpoifed with the Preffure of Water, IK, a^ndLM. But the middle paitofthe Tub A, is unequal¬ ly preft, feing it is preft downward, with the Water G A, but not preft upward with the Mercury B H. We fee fixthly, that whatever be the thicknefs of a Pillar of a Fluid *, yet no more of its weight is found, or is fenfible, than the pan, which prefleth unequally: for though EAFCGD, be a pillar fix or feven inches thick, yet no more of the Preffure is fenfible,. than what comes from GA, 8s e?pertments + E, to-weigh-28 ounce-^ tfie 42 inches G H to weigh CTmeaa-inthe-Air) 42ounce-. Now I fay,, to make a between the two-' Scales K and L,, there muft be 1-4 ounce put into the- Stale L. If after this manner you weigh-the Tub and Mercury- D E, 2 8 ounces will berequired in- the Scale L, and 42, if you weigh the Tub and Mercury G H, Fbr proving this Do6hine,I muflrappeal to Experience, which- will not fail in this. If you reply, and fay, upon fuppofi- ti'oa the Tub and Mercury G H,were a folid piece of brafs,, or iron- thus fufpended- in.theWater,oughtitnoc to weigh- lefs here chan in- the Air, even as- much l'efs, as is the weight of the quantity o.f Water, it puts- out of its place: why- then (hould not the Pipe H G, with the Mercury-in it, do- the fame, feing- there is no apparent differencebetween- them,as to this i But to leavethis, which will appear afterwards, andto- let the Reader fee the truth of the i 8'Theorem, Iaffirm, Tis not the weight of the 14 ounces of Mercury AB,thae burdens the fcale of the Ballance K 3 andthacmakes a coun- terpoife with the 14 ounces of Stone, or L.ead-, thats in the fcale L. What then is ;t, you fay * I anfwer’tis 14 ounces of the pillar of Water B C that does this. Nei¬ ther doth the weight of the. 28 ounces of. Mercury DE- burden theBallance,but only 28 ouncesof the-WaterEF;-- Neither doth the Ballance fupport the weight of the-4* ounces of Mercury. G H, but it is only burdened with 4# ounces of the Water H I. The reafon is moft evident becaufe according to the principles of the HyJrofttfick* already laid down, the Cylinder of Mercury A B, within; the Tub A B, refts immediatly upon the imaginary fur- 88 i^Djofcatfcai ejectments* face of the Water A D G, and therefore cannot bur¬ den the fcale in any wife. The fame is true of the other two Cylinders of Mercury. But in this I find final! difficulty. The greater is, how to make it out, that the fcale K, fapports 14 ounces of the Water B C,and 28 of theWaterEF, and 42 of the Water HI. To make this feem probable, confider firft, as was noted, that this Water is 15 foot deep, and confequently the Pillar of Water BC, 13 foot xo inches. The Water EF 12 foot eight inches. And HI, 11 foot and a half. Con- fia'er fecondly,though this be true, yet we muft count the Pillar of Water Z M 49 foot high. The reafon is evi. dent,becaufe the PrefTure of the Air, upon the furface of ail Waters (accordingro the 2$ Theorem) is equivalent to 34 foot of Water: this then being added to 1 j, makes 4p, and by this reckoning the Water B C is 47 foot ten inches: the Water E F 45 foot eight inches: And laft- ly,the Water HI 45 foot fix inches. Thirdly, for eafie counting, I muft fuppofe the whole Cylinder Z M to weigh 42 ounces, every 14 inches one ounce: and con¬ fequently the Water B C to weigh 41 ounces • the Wa¬ ter E F to weigh 40 ounces 5 the Water H I 3? ounces. Note, that in Phjfical demonftrations, ’cis not needful to ufe MjthcmaticJ ftrieftnefs in counting ; and fo leaving out fra&ions, we fhall onely ufe round numbers, Confi¬ der fourthly, that in all Fluids, as hath been frequently marked, there is a fondtu and fotentia, the Water B C be¬ ing the. fsndus, and the Mercury AB the potentia,the one driving to prefs down the Tub, the other ftriving to prefs it up. Confider fifthly, that by how much the more a Body fufpended in a Fluid is preffed up, by fo much the Ids the weight that prefteth it down is foend: and con- trarivvife, $ptoofta«cal <£jcperttmnt& $? trariwife,by how much the lefs it is prefled up, by fo much the mote the Preflure above is found. Confider fixthly, the lefs that a furface of Water is burdened, the more able it is to counterbalance the oppofite Preflure, and the more it is burdened,it is the lefs able. Confider feventhly, that the Mercury AB, (which is evident in all Fluids) not only prefleth downward, and burdens the furface ADG r but alio prefleth upward, and therefore adtually endeavour* to thruft up the Tub * and fo it is, that the Tub is prefled between two, namely between the Water C B, and the Mercury within it. Now from thefeconfiderationslfay, thefcale K,muft fupport,and bear up 14 ounce of the Water B C: for feing the Mercury is fupported by the furface of Water on which it refts, it cannot by any means burden the ballance with its weight-5 and feing it a&ually prefleth up the Tub, (according to the feventhconfideration ) it muft fo much the more counterpoife (according to the fixch) the oppofite Preflure of the Water BC, and confequently diminifh the weight of it: fo that the Ballance cannot fup- port the whole, but a part. For according to what de¬ grees of force, the Mercury prefleth up the Tub with, ac¬ cording to the fame, muft the Preflure upon the top of the Tub be diminifhed, and fo if the Mercury prefs up the Tub with the force of 27 ounce , the Water BC muft prefs itdownwith 14ounce only, and fo the Cylinder BC, that weighs-really 41 ounce, muft prefs the top of this Tub only with 14, which 14 ounce really counterpoifeth, the 14 ounce of Scone in the Scale L. But how is it made our, that the Mercury AB, prefleth up with 2 7 ounce? For undemanding this, remember, that the Water is 42 foot high, taking in the Preflure of the Air, and that a M water 9i {^aioflaticaictpermims. VVatcr of chit deepaefs is able to fupport 41 inches of Mercury, every inch weighing one ounce. For if 14 of Water, be able to fupport one of Mercury, 49 foot, or 567 inches, muft fupport 41, If then, the part of the furface A, be able to weigh 41, it muff have of upward Preflure 2 7 ounces, feing it's counterpoifed de facto only with 14, Take notice, that in the Hydro ftatkks , the wo: df ref sing, ox weighing, as really ana tiu'y fignifies a weighing up, as a weighing down, feing it is no ldVeffen- tial to Fluid Bodies to move upward, than downward, and that with equal force, and weight. According to this rea- foning,the Ballance fupports 28 ounces of the Water E F, (Imagine the fecond Tub to be fufpended as the firft) feing the Cylinder of Mercury D E, preffeth up the Tub only with the weight of 12 ounce , which 28 ounce, really counterpoifeth the 28 ounce of Stone in the Scale L. But why doth the Mercury A B prefs up with 27 ounce, and the Mercury D E with 12 c 1 For anfwer, remember, (sc- cording to the fixth confideration) the (hotter a Cylinder of Mercury is,the furface upon which it refts, is the ftrong- er, and more able, to prefs it up; and contrariwife, the longer it is, the furface is the more unable and weak : therefore A B being fhorter, and lighter than D E, the furface of Water muff prefs it up with greater force: fo that if the faid furface A M, be able to prefs up the Mercury AB with 27 ounce, it muft prefs up the Mercury D E only with 12 ounce. According to this rule, if the Mer¬ cury A B were 1 5 inches high, it would prefs up only with 25 ounce, if it were i 5 , with 25 : if 17, with 24: if 18, with 23, and fo forward. This leads us to a clear dif- covery of all the fecrets here .• for if the Mercury A B, thruft up the Pipe, with the weight of 27 ounce, , then muft H gt?ofta t and the 28 inches of Water P O Qj being a far lighter burden by 16 , than the 41 inches of Mercury, the furface GSM muft be far abler to-prefs them up now,than before: and therefore,muft diminifh as much of the downward PrefTureof the Water QR, that burdens the Ballance, as themfelves wants of weight:feing then,thewholeCylinder of Mercury,andWa- ter together, aie but equivalent for weight to 16 inches of Mercury, the top of the Tub within,muft be preft up with 26 ounce ; and -therefore they by their upward Preflure, muft diminifh 2 6 ounce of the weight of the Water R Q^, that weighs 39. Laftly, let in fo much V Vater, as will deprefs the laft 14 inches PS 5 and you will find no more weight required in the Ballance to make an equiftndium , than counterpoifeththe fimple weight of the Tub, which is not confiderable. The reafon is, becaufe, the part S, of the furface GSM, being liberated of the burden of Mer¬ cury, and fuftaining only the Water within the Tub, in {lead of it, this furface prefleth up the Water within the Tub, and coniequently the top of it, with as great force, and weight, as the top of the Tub without is deprefled, with the outward Water RQj therefore, 39 ounce de¬ pleting the Tub, and 39 ouncepreffmg it up, the Ballance muft be freed of the whole weight of Water R Q. If it be objected, that the 42 inches of Water Q_S, are equi¬ valent in weight to three inches of Mercury-* therefore the part of iChe furface S, being burdened with this, cannot prefs up, with as great force, as the Water,R QprefTerh down. Foranfwer, confider, .that the part S, is able to N fupport 9$ Ippo^0ftattc«fle]cpenment£i» fupport 42 ounce of Water, and next, that the Water R 4 weighs bat 59. Then-I fay, feing the 4-2 inches of Water within the Tub, weighs only three ounce, the*- part S,thats burdened therewith,being able to fupport 42-, it muftprefs up with the weight of 59, andTo counterbal- lance the Water R Q. If it be in mired, whether or not, would the-i 4 inches of Mercury A B fall down, aftoall hole being made in the top of the Tub at B ? I anfwer, they would. If it be obje¬ cted, that thefe 14 inches of Mercury,are not in equilibria) with-the. Preifuie of the ambient Water, as the Mercury- GH,and therefore they cannot be fa eafily depreffed by the Water, that comes in at the faid hole, I anfwer,they mufc all fall down, and as eafily, as the other, and'that becaufeof inequality of weight between the P strati a of the furfaceof Water, and the panda,\x:s ceitain.the part A of the fur- face, cannot fupport more weight of any kind, than 42 ounce; but when a hole is opened in B-, and the Water comes in, ’tis then burdened with the weight of 14 ounce 0! Mercury, and with the weight of 41 ounce of Water ; - fa much the V Vacer B C weighs, which- is j j ounce: but a furface that hath only the Petunia of 42. can never fup¬ port a?^^of55,nonotof45. It may be objected thus .• Put the cafe a Cylinder of Cold, or Brafs were fufpended in- this- Water; as the Pipe and Mercury G H are fufpended by the Ballance, would not the Ballance fupport the whole weight of it, without fupporting any part of the weight of the Water IH, that refts upon the top ot it, I anfwer, there’s a great difference between the two 5 becaufe a Cylinder of Gold or Brafs, fuffers both the upward and downward Preflure ot the Water; but the Mercury GH, fuffers only jjvwoftatical ©tpetfmtnts. 99 only the upward Preflure, being fteed qi thedownwatd, by the top of the Tub. From this E^perim.entofkttiqg in the'Water upon che.top oft he, Mercury,, wefeefirfi, that when two Fluids are [n^^mUbriotm with another, a very fmall weight will caft and turn the Scales, becaufe, if the fixth part of an inch of Water come in at Q_, it pre- fently alters the hight of the Mercury from 42 inches to lefs. Secondly, ’tis impoffible for a furface of Water^o fup- port more weight, than its own proper burden; becaufe the partS, cannot fupportmore, nonota,grain,than 42 ounce. We fee thirdly, that it is as impoflible for a furfaceof V Vater, to fupport lefs, than its own burden; beaufe whatever Iofs of weight the Pillar of Mercury S Q_ fuffers, by the ingrefs of the Water Q O , its made up again by the fame Water. If it.be objected, that the 14. inches-of Water QO, are not fo heavy by far, as the i4inchesaf Mercury, that fell down, I anfwer, its true, yet the fart S, is as much burdened as before, becaufe what is wanting in weight, its made up, and compenfed by PrefTure, Wo fee fourthly, that the PrefjureoU Fluid is a thing really diftind from the natural weighty according to the 22 The¬ orem : becaufe though.the 14 inches of Water QO, ; aue ■not fo heavy naturally as the 14 inches of Mercury chat fell down, yet the Preflure of them uponthefurfaceS,isas .much. We fee fifthly, that. 14 inches of Water, that’sm flmdy fourteen times lighter than Mercury, may have as much weiglmvitlvthem.;as 14ounceofMercury. ■ Weifee fixthly, that a Cylinder.of Mercury cannot.be fufpended in Air,. or,in Water unlefsjtfoe guarded witha Tub,iopre- fervedrirom the downward Preffure of that Air or Water.* tforrby opening.anbole.in the;Mercury iubfides. .We ifeeXeventhly^lm ’tislmpoffiblefor two-Flurds to fhfpend :N ; one ioo ^ptyoftaticai experiments* one-another mutually, unlefs there be a lort of equipondi- ttm between them ; becaufe no fooner you deftroy the equipondi'um, between the 42 inches of Mercury Q_S; and the part of the furface S, by the ingrefs of the Water QjO, but affoon there arifeth a new one. We fee eighthly (as- we noted before) the nearer a Body comes to be equally prefled with a Fluid, thelefsis thePrefsure of that Fluid ftnfiblt : becaufe iefs weight is required in the Ball a nee, to counterpoife the Prefsure, and weight of the Water R after the ingrefs of the Water Q 0 P, than after the ingrefs of the Water QO. We fee ninthly, tharwhen a Body is equally, and uniformly prefled with a Fluid, the Preflu: e rs injenfible ; becaufe, after the Water hath thruft down all the Mercury from Qjo S, there’s no more weight at all oi the Water R CL found in the Bailance. We fee - tenthly, that not only in Water, the Preflure of Water may be found,- but out of it, namely in the Air ; as is clear from the Bailance,-that fupports the Prefliireof the Wa¬ ter RQ. ^ We fee eleventhly, a ground to diftinguifh be¬ tween the nutftrd BiUdnce , and the artificial Bdllance. The artificial Bailance , is the Bailance K L: the natural , is the Pipe QS. We fee twelfthly, that they keep a corre- fpondencebetweenthemfelves, or fome Anally : for by what proportion the Water thrufts down the Mercury, by that fame proportion thtpondns L, of the Bailance islef- fened: and by what proportion the Mercury rifes in the Pipe,by .that fame,is the weight Laugmented in the Scale, We may fubjoyn laftly, that the eafieft way of explicating tbePkincmfnaoi Nature, is not always the beft,and trneft. For fome may think,it were far eafier to fay, that the Bai¬ lance fupports the Mercury AB,or D E,and not any partof the Water. B C, or EF. But fuch a way would be falfe,and abfurd,andcontrary to all tf\e former DoQrine. E X- ^tyoftattcai experiments io i ■ EXPERIMENT XII- figure 1 5 . T His Schema tifm reprefertts a Water ioo foot deep, whofe fiift and vifible furface is IH K. And L M is the ground of ir. CD is a piece of brafs 30 inches high, and 12 inches in diameter, fufpended upon the ima¬ ginary furface of Water A N B, which is diftant from the top IH K, 25 foot. This Brafs cannot go farder down, when demitted from H ; becaufe it’s keeped up, by the Force and Preffure of the furface of Water A N B, which I prove thus. The part B Mains de fatlo, a Pillar of Water KB 1400 pound weight: therefore the part N is able to Main as much. I fuppofe here, the faid piece of Brafs to weigh 1400 pound. The Water KB is 1400 pound, becaufe its a Pillar 2 5 foot high, and 12 inches thick, lor one cubical foot weighs j 6 pound Trois. The connexion the argument is evident, becaufe it is as eafie for a furface of Water, to Main a folid Body, as to Main a Fluid Body: therefore, if the part B, fupport ! the Fluid Pillar KB, the part N mull be able to fupport likewife the folid Pillar C D,which is of the fame weight. . If it be obje&ed, that the part N, Mains befides the Brafs ' C D, a Pillar of Water EF 22 foot high, and a half, , which two will weigh 2260 pound. I anfwer, upbnfup- pofitlon,that neither Water nor Air fucceeded, the fpace J E F being void of both, the Brafs -would be’ fufpended with the force and power of the Water N- : And though this cannot be made frafticable , yet the Theory of it may ' conduce much for explicating-the fecrets and myfteries of ■ the Hydrofiaticks, But why ought the BrafstobeftiC- pended ; ioi $pDjQ8atteal e^pertments* pended at 25 foot from the top i I anfwer, becaufe the fotcntiioi the furface A N B, is equal to the fndtts of the Brafs, To evidence this,confider that Brafs is a Body naturally heavier then Water, ‘I (hall fuppofe ten times, that’s to fay,one inch of Brafs will counterpoife ten inches of Water, If this inequality be, then muft this Pillar of Brafs go Co much farder down,than the fii ft furface IH K, as the one is heavier in fpecic, or naturally , than the other: therefore it muft fink 25 foot exattly 5 feiag a piece of Brafs 3 0 inches high,requires 400 inches of Water, or 2 5 foot-to counterpoife it: for if one inch of Brafs require ten inches of Water, then furely 30 inches muft require 300, Yet it is no matter,what the thicknefs be,provided j it-be no higher than 30 inches, T0 advance fome farder, let us make a fecond fuppofi- tion, namely, while the Brafs is thus fufpenaed upon the furface ANB, fuppofe the Air to come down, and fillup the imaginary fpace E F, then muft the Brafs be thruft down as far as the furface 0 P, that’s 34 foot below the furface A N D , and 59 from the top. The reafon of it is this, becaufe the weight of the Air luperadded, is equi¬ valent to the Preffiire of aPillar of Mercury 2 9 inches high, and 12 inches thick •• therefore the Brafs being burdenud with this, it muft go fo farder down, till it meet with a fur¬ face,' whofe pettntia is equal in weight, to th ejxwdus of both, which is precifely 59 foot from the top : for if one inch of Mercury require 14 of Water, then 2 9 inches muft require 405 inches, or 34 f oot. In a word,it muft go as far down, as that furface, thatfuftains a Pillar of Water, that would counterpoife in a Ballance, the Brafs C D, and.a Pillar of Mercury 29 inches high, ,and 12 inches thick, .both which weighs 3 290 pound, Fipm {^ojoftaticai expettments* 103 From what is faid,,wefee firft, ; that of two heayy-bo¬ dies differing.in weigKt, the lighter may go.fnrtlier down; than the heavier. This is clear, becaufea flender Cylin¬ der,o\ Gold, in form of an Arrow, half,an inch thick, and 2 8 inches long,weighing 2 8 pound (’tis no iiiatter,though the juft'weight of it be not determined ) will go down 3 5 foot in Water, before it.meet with a furface, whof efoten- tia is equal in weight to its own pndus j for if Gold be 1$ times heavier naturally than Water, then the faid Cylin¬ der muftgo down before it reft,, 4^0 inches,, or 35 foot. But a piece of Gold 12 inches long, and fix inches thick, < that perhaps will weigh 208 pound, wiil fink no further. I than 15 foot. And the reafon is,, becaufe, if one inch of Cold require 15 ofVVater to counterpoife it,then 12 mufti only require.i 80, or 15 foot. Note,, that both the bodies muftgo down Perpendicularly,. and not as-it were Hori¬ zontally , with their Tides downmoft: for if 1 they-go- down after this manner, they cannot fink fo far. The reafon of this, is alfo evident, becaufe. a heavy body, goes fo far down, and no further, till it hath thruft as much Water out of its.place, as. will counterpoife icfelfin. a Ballance. That’s to fay, ifan heavy, body weigh 100 pound , it muft go no further down, than, after it-hath thruftout 100 pound of Water, Butfoit.is, thatapiece. of Gold,, in form ofan Arrow, going down frdo-wife, or with the two ends parallel to the Horizon,, will. thruft as. much Water out of its place, as, will be the,weight of it felf, before it can go down,15 or 1 5 inches from the top: becaufe for every inch it goes down fide-wife, it expells 2 8. inches of Water. In going down two inches, it expells In going down three inches, it expells 84, and fo forward, till it go down 15 inches, where it expells 420 inches: 104 f^ajoBatical exjpet: mums* but 420 inches amounts to 3 5-foot, Now, take a Cylin¬ der of Water 35 foot high, and juft the thicknefs of the Cylinder of Gold, which I fuppofed to be of half an inch, and put them in a ballance, and you will find the one juft the weight of the other. Neither can the piece of Gold go io far down as before, if it go down fide-wife ^ .becaufe for every fix inches it is drowned, it expells a bulk of Wa¬ ter 12 inches long, and fix inches thicks therefore it muft be impended, before it go beyond $0 inches,or fevenfooc and an half: now, if fix inches give one foot, 90 inches will give 15 foot: but ij of Water in hight, and fix inches thick,is the juft weight of it in a ballance, wc. 208 pound. We fee fecondly, the broader and larger the furface of a Fluid be, his the more able and ftrong to fupport an heavy burden: therefore the part of a furface of Water fix inches fquare every way, will carry a far greater weight, than a part four inches fquare. Though a furface of Water 34 or 3 5 foot deep, be not able to fuftain a Cylinder of Gold, if it exceed 28 or 29 inches in hight, yet take a Cylinder of Gold, 1 o foot high, and reduce it, by making it thick, er. to the hight of 20 inches, a furface of Water little more than 24 foot deep will fuftain it. Or reduce a Cylinder ic foot high, which requires a furface more than 100 foot deep, to a Cylinder fix inches high, a furface little more than feven foot deep will fupport it. We fee thirdly, the reafon why bodies that .are broad and large, move flowlier through Air and ■Water, than bodies that are more thin, and (lender, though both be of the fame weight in a bal¬ lance. For example, %o pound of Lead, long and {len¬ der like an Arrow, will go fooner to theground of a deep Water, than a piece of Lead of the fame weight, in form of a Platter or Bafon. T he reafon is, becaufe as the body is $pu?oftat(cai c*petfment&- 10? is broader, fo it takes a broader part of a furface, which broader part is ftronger and abler,than a nairowerpatt,and fo makes the greater refiftance. The fame is the reafon, why a Bullet fix inches in Diameter, movesflowlier tho- row the Air, fhoc from a Cannon, than a .Bullet one inch in Diameter. For the fame reafon, Ships of (even ortight hundred Tun, move far flowlier thorow the Air, and Wa¬ ter, than VefTels of lefs burden. Item, large and big Fowls, as Eagles, move flowlier, than fmall Birds, as Swallows. Yea, of Fowls of the fame quantity, one may move quicklier than another, as is evident in long-wing’d Hawks , as Falcons., that by the iharpnefsof their Wings, move far more fpace in half an hour, thanKites, orGofe- Hawks, whofe wings are rounder. We fee fourthly, that there’s nobody how heavy foever, but it may be fupport- ed by the furface of a Fluid, either in Air or in Water. I grant, the ftrongeft furface of Air, that can be had, is not able to fupport more weight, than a Cylinder of Gold 28 inches high.- yet though it were as large, and broad, as a Mill-{lone , if it do not exceed the faid highc, the Air is able to fitftain it. For the fame caufe, if it were poffible to been (JMill-(tone oi the Air, that refts upon it, the Air below would lift it from the ground, and carry it tip many fathoms, even till it came to a furface, equal in power to the weight of the Stone. Or, ifalarge Mill-(lone were de- mitted from the top of the Atmfyhere, towards the Earth, it could hardly touch the ground, being detained by the way, by a furface counterpoifing it. Or if it did touch, thiougb the fwiftnefs of the motion, it would furely, as it were, rebound, and be carried up again. It is alwayes to be remembred, that in fuch trials, the Air is fuppofed not to follow, or to be united, after the Stone 0 pafieth io6 ^ajoftattcai ejcpermunts. paffeth thorow, Now if the Air be able to do this, far tnore the Water, that’s a body a thoufand times- heavier. We fee fifthly the reafon, why heavy bodies move fo eafiiy thorow Air, and Water, namely becanfe the parts that were divided, by the body that is moved, are pre- fe'ntly reunited, and clofed again, by which means it is driven forward, the Preffure upon the back, being as much as the Preffure before. If this were not, nobody what- foever would be able to move it feif one foot forward. For example , if, when a man hath advanced one ftep for¬ ward, the Air did not clofe again upon his back, the force of the Air upon his belly and breaft, would not only flop him, but violently thruft him backward, We fee fixthly, the reafon, why the fame body defcends with more diffi¬ culty thorow Water, than Air, becaufe a furface of Water :s far ftrongev, than a furface of Air. We fee feventhly, that a heaxw body is never fufpended by a furface of Water, or Air, ingoing down, till once it hathdifplaced, as much Water c: Air, as will counterpoife it felf in a bal¬ ance. This is clear from the Brafs C D, that goes al- wayes down, till it expell its own weight of Water. For this caufe, if a Mill-(lone were demitted, or fent down from the top of the Air, and never refted, till it came within 40 fathom of the Earth, then fo much Air, as is expelled by the defeent, is the juft weight of the ftone. We fee eighthly,the heavier a body be naturally, than Wa¬ ter, it goes the further down, and the lighter it is, it finks the lefs. For if CD were of Gold, it would go fur¬ ther down, than being of Brafs orlron: and if CD were a ftone, that’s lighter;';; fpecie than Brafs, ir. would not go fo far down. This lets us know the reafon, why thicker, blacker, and heavier clouds comes nearer to the Barth, ^jcpertments* 107 than thinner, whiter, and lighter. We fee ninthly, that the PrefTure of the Air is determinable, even in its Jieigheft degree, and feejnes to be the fame in all places of the world $ but the PrefTure of the Water is not fo. The reafon of the firft part is, becaufe the Element of Air feeiris to be of the fame hight in all places, and therefore jyp may know its outmoft PrefTure, which is juft equivalent to the weight of 2 8 or 29 inches of Gold, or Mercury. But becaufe the deepnefs of the Sea is variable, therefore the PrefTure is variable likewife. Yet if the exatft: deepnefs, of the deepeft place were known, it wer.eas eafie to de¬ termine the greateft PrefTure of it, as to determine the -greateft PrefTure of the Air. We Tee tenthly, that a very fmall weight added or fubtra&edin height, will.change and alter the counterpo.ife of a Fluid. Becaufe if you % bu t one ounceupon the top of the brJs at F, it prefently TubTides accordingly: or take one ounce from it,and k rifes. But though never To much weight be added to it, or fob* traced from it in thicknefs, no alteration follows. There¬ fore, though this piece of Brafs CD,' that’s now but *2 ■inchesin thicknefs, were made.24,b.yjwhich;meaps t fhe weight would be tripled and more, yet the famefiirface A iN B would Tuftain it: yet, add to it in altitude, /butane inch, and prefently it finks down propartionahly. This evidently difeovers the reafon, why.itsas.eafif for. the. Air, ,to:fupp6rt 2 Cylinder ofMei'Cury 3 inches thick,, ss.tofop- port a-Gylindei half an inch thick: and why it cannot fop- port.more in height than 19 inches, and why.it cannot,Tup- . port iefs. Now.riiereafon, why.aihickeirPillaf, isaseafi- ly Lufpe'nde.ci, .as .a tlrinner,is this,hec aufeiffa. Pillar, of,Mer- . curybe thicker, and, .Gonfequendyheavier ,, than k takes a : broader, .and confequently.a ftronger'furiace of Aintor.eft 0 2 upon: io$ %?s?o ftatfcal eyptmn ents, upon: if icbe but (lender, and fo But light", thenit takesa leflerpart of a furface to bear it up, and confequently’a weaker 5 by which meansthe Pandits of the one, is alwayes proportionable to the Potentu ohhe other. Is it not as eafie for a-Pillar of (lone, 6 foot in Diameter, tofupport another fix foot in Diameter 5 as it is for a Pillar one foot in'Diameter, to fupporta Pillar one foot in Diameter { Bat as a Pillar one foot in Diameter, cannot fupport a Pil¬ lar 6 foot in Diameter, neither can a furface of Air, one inch in Diameter, fupport a Pillar of Mercury 6 inches in Diameter. But why fhould a larger part of a furface be ftronger than a narrower part i I anlwer.the one is ftronger than the other,for that fame reafon, why a thicker Cylin¬ der is heavier than- a thinner: for what I call ftrength in a furface, itsnothing elfe but might, and what I call might in a Cylinder, its nothing elfe but (Irtngtb, The fame thing hath two names 5 becaufe the pillar of aFluid preffeth down, and the furface fupports: - therefore, in the one its - called fondtts, in the other ptentia, As when two feales are in equilibria, either this, or that may be called the fon- dus - or either this, or that', may be called th tpotentit. Now I fay,if a part of a furface four inches broad, haveas much weight or force in it , as a Pillar of Mercury four inches thick• then furely -, a part of a furface eight-inches broad, muft have as much weight and force in it, as a Pillar of Mercury eight inches thick. But why ought a furface to fuccumb, when the Pillar grows in hight, and not :to fail whenit grows only in breadth: t'Anf, VVhen itgrows in breadth, the pndtts never exceeds the fotentia 5 .but when it becomes higher, then ir becomes heavier. That’s to fay, when a Pillar grows broader, there’s not one part of tbefurface thatfuftains it, more burdened than, another ; tyc?oftat(cate]c pcumcn tg« 109 fting the pan eight inches' broad, , is no more pl-eft with" a pillar eight inches thick • than the part four inches broad, is preft with a Pillar four inches thick: a* eight ounce of Lead in this Scale, is- no more counterpoifed with eight ' ounce in the other Scale, than four ounce in this Scale, is counterpoifed with four in the other. But when a Cylin¬ der grows-in hight,. theexceeds the potentta ; one part of a furface being more burdened than another. We fee eleventhly, that in a large furface of a Fluid, wherein are many parts-, each part is^able to fuftain its own proper burden. So a part eight inches in Diameter fupports a Pillar eight inches thick; and a part four inches, fupports a'Cylinaer four inches thick; but cannot fupport a Pillar lix inches thick. But this Teems-rather to flowfrom the disproportion of CM agnitudes,king a circular pjain^. inches in diameter,cannot receive a Bafe of a Pillar 6 inches in dia¬ meter. But this is certain from the vei y nature of Fluids, that in a deep Water, wherein may bediftinguifhed ioo, or iooo different furfaces, each one is able to fupport his own burden, and no more. EXPERIMENT XIII- Figure 17, 18, 19, F Or making this Experiment, take two plain Bodies of Brafs, or Marble well polifhed. Make them of any quantity -, but for this prefent ufe, let each of them be four inches broad fquare-wife. Upon the back part, let jeach one have an handle about fix inches long,of the famenfetal, formed with the plain it felf, in the founding (if they be of Brafs ) as is reprelented in this Schejnatilm. When: no Upmoftaticai experiments* they are thus prepared# anoint their inner-fides with Oyl or Water, and having thruft the one face alongft upon the other,with all theftrength you have, till all the four edges agree,two whereof are reprefented by A B, and C D, you will find them cleave fo dofs together, as if they were but one Body. The effed is this, that ordinary ftrength will not pull them afunder 5 and that under a furface of Water, a ftronger pull is required than in the Air.- That we may deduce fome Hydro fratied conclufions from this Experiment, let us fuppofe thefe two plain Bo¬ dies to be united in the middle of the Water IK PQ^ that’s 34 foot deep, and fufpended by a beam or long tree T V exifting inthe Air, near the top of the Water, by a chord SE paffmg between the middle of the beam, and theend of the handle at E. Suppofe next a great weight of Lead R, 350 pound, to be appended to the end of the handle at H, of the under plain Body CDNO, This cone, I affirm,that the beam T V, neither fuftains the un¬ de: plain Body CDNOGH, nor the 350 pound weight of Lead R,that hangs down from the handle GH. If itbeobjeded, that the beam fupports the upper plain Body ABLMFE5 therefore it muff bear the weight alfo of the under plain CDNOG H,with the weightR- firing they are both united together, and cleave fo dofs", as if they were but one Body. I anfwer, it fupportsthe one unqueffionably , hut not the other. To explicate this Hydreftaticalkiy&tty, Itnuft aver three things •, firft, that the inferior plain is fupported by the upward PrefTare of the lower Water P Q.N O. Secondly, that the • burden which thebeam fuftains, is nor the weight of -the mnder plain, butthe-weightof-the34-foot'of Water IK ■L M. Thirdly,' -that this weight is -e-xadly the weighc 1 ^'OjortatM Cfpcrimtnts. m of the inferior plain, and Lead R, But is it not more eafieto fay , that the beam (upports both the plains t I anfwer, if I fay fo, I can neither affirm tiuth,nor fpeak con- fequentially, But may it not be faid, that the inferior plain is fupported both by the beam, and the lower water P QN 0 ? I anfwer, this is impoffible $ becaufe one and the fame weight, cannot be fupported totally, bytwodi- ftinft fupporters. For making thefeaflertions evident, I muft fuppofe the fuperior Water IKLM to be 34 foot deep, and to weigh,ii it were put into a ballance,4oo pound: and'which is unqueftionable, that the faid Water lefts upon the back of the fuperior plain EM. I fuppofe fecondly, that the lower Water PQjsf O weighs as much , and thrufts up the inferior plain with as great weight, as the fuperior plain ispreftdown with, by the fuperior Water.- This is evident from former Experiments, And laftly, I fup¬ pofe each plain to weigh two pound, and the weight of Lead R 3 5 0. It is to be obferved here,that no miftake may arife in the calculation afterwards, that though it be faid, this 34 foot of Water weighs'400 pound, yet in it felf it weighs but 200: but confidering the Preffureof the Air upon IK,which is as much, it may be truly faid to Weigh 400. Thefe things being premitted,I fay the weight that the beam TV fuftains, is not the weight of the inferior plain , and the Lead R , but 352 pound of the fuperi¬ or Water IK L M, and cortfequently, that the infe¬ rior plain is- fupported by the lower Water PQJSf O. The.reafon is, becaufe the lower Water preiTeth up' with the weight of 48 pound. It is in it felf 400 pound: but being burdened with 3 5 2 , it cannot thruft up with mbre weight than 48. Now, it preffing up with 48, muft cafe in ^pt&oftatfcal Crpertmentsu the beam or 48, and counterpoife fo much of the fupe- rior Water, and confequently the beam muft fupporc only 55* pound of it, But put the cafe (you fayj the weight R, were 130 pound, x 6 0 pound, or 180 pound, would the beam be lefs or more burdened with the fuperi- or Water i I anfwer, if R be 130 pound,then the beam fupports only 13.2 pound of the fuperior Water ■ for if the inferior be only burdened with 130, the weight of R, and with two the weight of the inferior plain , then muft it prefs up with 368, and by this means,muft eafe the beam of fo much, itfuftaining 132 pound only. According to this compcing, when the Lead R weighs 160 pound, the beam fupports only 238 pound of the fuperior Water. If it weigh 180 pound,it fuftains 218. And if the weight R were taken atvay, the beam fupports no more of the fuperior Water than two pound. To proceed a little further 5 imagine the two Plains to be drawn up x 7 foot nearer the Hi ft furface IK, namely as high as Z W. This done, the union breaks up, and they prefently fall afunder. Thereafon is, becaufe the fur- face Z W is not able to fupport 352 pound, but only 300, which I prove thus. If 68 foot Main 400, then 51 foot muft Main 300. I fay 68, and not 34, becaufe as was noted, thePreflure of the Air upon the furface IK, is equivalent to other 34 foot: and therefore though the deepnefs of this Water, between IK and L M be but 34 foot really, yet it is 68 foot virtually, and ineffeft. Imagine fecondly the furface IK to lubfide 17 foot, name¬ ly to ZW. In this cafe the union is broken alfo, and the lower Plain falls from the upper. The reafon of this, is the fame with the former 5 becaufe by what proportion you diminifh the bight of the fuperior Water, by that %yp?ofta ttcal eypettoiew t& n$ fame proportion you diminifh the upward Preffure of the lower VVater. Therefore, if you fubtraft from the fu- perior Water 17 foot, that weighs 100 pound,you fub- tratt Ukewife 100 pound from the inferior Water, and confequently, you make it prefs- up. only with 300, but 300 is not able to counterpoife 352, Xet us fuppofe thirdly, the fuperior Plain , and the fu- perior Water to be annihilated 5 then I fay , the Preffure and force of the.under Water would thruft up the inferior Plain and the weight R. about eight foot higher then X Y and there fufpend them. The reafon is, hecaufethe fur- face X Y, being able to fuftain 400, and being burdened only with 352, muft have the weight of 48. Now the upper Plain being taken away, and the upper Water alfo, and the empty fpace of both remaining,•the faid weight of 48 pound, muft carry the under slain as high as is faid. Let us fuppofe fourthly, the Preffure of the Ele¬ ment of Air, that refts upon IX, to be taken away, then muft the two Plain bodies be difunited, the inferior falling from the fuperior. The reafon is, becaufe in this cafe, the fuperior Water would have but the weight of 200 pound, and confequently the inferior, would prefs up only .with as much .-but 200 is not able to counterpoife 3 j.2. From what is faid we fee iiift , that in all Fluids there is an upward Preffure, as well as a downward and that the .one is al wayes of equal force to the other: becaufe the in* lerior Plain is prefled up with as great force , asthefupe- rior Plain is preffed down with. We fee fecondly, that •in Fluids, there is a Pondus and a Potentia. The Potenti* here is the inferior Water, and the Pondus is .the fuperi¬ or. Or, the 350 pound of Lead R, may be called r he Pondus^ which counterpoifeth the Potential the fur face P of- H4 ^pt&oSatfcal experiments* of Water X Y. We fee thirdly, that though the Pref. fare of a Fluid, be not the fame thing with the natural weight, yet it is equivalent to it: becaufe the 3 5 2 pound of Lead R , is fuftained by the Preffure of the inferior Water, which could not be, unlefs they were virtually the fame. We fee fourthly, that there may be as much Preffure in one foot oi Water, as there is weight in ioo, or in 1000 foot, or in 1000 fathom, For put the cafe, thefe two plain bodies were fufpended, 100 fathom below the furface of the fea, and within a foot or two of the ground, as much weight would be required to pull them afunder,as is the weight oi a Pillar of Water x 00 fathom high, and 4 inches thick everyway, which will be more then 3000 pound weight, befides the weight of the Air above, that will weigh 200 pound. This could not be, unlefs there were ssYnuch preffure in the Ioweft foot of this Water, that’s ico fathom deep, as there is weight in the whole Pillar above. We fee fifthly, the more the potmia of a furiace is burdened, the more fenfible is the ponhs : becaufe the heavier you make the Lead R, that burdens the inferior Water, the more weight of the fuperior Wa¬ ter refts upon the Beam, We fee fixthly, the more un« equally a body is prefled, the more the Preffure is fenfible* For undemanding this, confider that the under-face of the fupeko : Plain, is more and lefs prefled, according to the more and lefs weight the Lead R is of: for put the cafe, the inferior Plain were taken away, the face of the fuperior Plain, would be equally preft with the back of it. But when the inferior Plain is united to it, the Preffure of the Water is kept off * by which means the back is preft more than the face. Kow, as the inferior plain becomes hea¬ vier and heavier, by making the weight R more and more weighty, %pD;ofla t(cal c^pecimen tg. n$ weighty, the lels and lefs is the face of the fuperior Plain preft up. Hence it is, that as this inequality of PrdTurc becomes greater and greater; fo the weight of the fuperi¬ or Water, affefts the Beam more and more. Or, if the fuperior Plain were a feufible body, as Animals are, it would find the back of it more and more burdened, accor¬ ding as the weight R, becomes heavier and heavier. We fee feventhly, that Water weighs in Water: becaufeall the weight the Beam fupports, is the burden of the fupe¬ rior Water, and not the burden of the inferior Plain, or of the weight R- It fupports the weight alfo of the fupe. rior Plain, but this is not confiderable, This is only to be underftood, when the Preffure is unequal ; for if the up¬ per Plain were as much preft up, as it’s preft down, the weight of the fuperior Water would not be found by the Beam, We fee eighthly, that the higher a furface'be, it is the weaker ? and the lower it be, it is the ftronger: be- caufe when the two plain bodies are pulled up,i 7 foot,they fall afunder. We fee ninthly, the vanity of the common opinion,, that maintains two plain bodies to cleave clofs to¬ gether for fear of <; vacuity ; and that neither Humane nor Angelick ftrength is able to break this union, without the rupture and fradure of them both. It may be enquired, upon fuppofition, that the inferior. flain had four holes cut thorowthe middle, fquare-wife, as ABCD in the 18Figure, what Phenomena would follow ? Before I anfwer,confider that this Figure repre- fents the inner face of the Brafs-plate C D N O, of the 17 Figure, which as was fuppofed, is four inches from fide to fide,and confequently contains 1 6 fquare inches. Now, imagine the under flain CDN 0 , while it- is united to the uppermoft, to have four fquareinchescut redout of it, u 6 j i^tyoftatfcai experiments* as A B C D. Thefe things being rightly conceived, and' nnderftood, I fay, when the faid holes are cutted thorow, the beam T V, that now fuftains 350 pound, (hall by this 1 means, only fufbin 250 pound. T0 make this evident, confider tbit the under plain (as was faid; contains 16 fquare inches. Next,that the top of the inferior Wate* upon which the plain refts, contains as many,and that every inch of the Water weighs 25 pound, feing the whole, as was fuppofed before, weighs 400 pound. Now, I fay,the- beam muft fupport only 250 pound of the Water IK L M ? becaufe, thefe holes being made, the top of the inferior Water comes through them,and preffeth up the face of the ■ fuperior plain with 100 pound, and fo eafeth the beam oh fomuch. I affirm next, that though the inferior Water N 0 PQJ>e in it felf 400 pound , andconfequently able to fupport the inferior plain } with the weight R, albeit they weighed fo much , yet the faid holes being cut out, itisnot able to fupport more burden than'300. The rea- 1 fonis, becaufe of 16 parts that did a&ually bear up be¬ fore,there are only 12 now that fuftains. And every one of thefe twelve, being but able to fupport 25 pound, it neceffatily follows, that the greateft weight they are able to fuftain, is 300 pound. I affirm thirdly, thatif a fifth hole were cut through, the under plain would fall from the upper ; becaufe in this cafe, the inferior Water is not able to fupport 350 pound as before, feing of 1 6 parts, there are five wanting,and eleven remaining,cannot fupport more weightthan 275 pound. Moe queftions of this kind might be propofed 5 as firft, what would come to pafs/ if the theupperp/4j»hadas many holes cut through it, anfwer* ing to the four of the nether ? Secondly, what would fol- cw,if the Qether plain were intire, and four bored through the i^ojoftattcai eypertm entsi 117 the upper ? But I-fliatl fuperfede' and leave thefe to be gathered by the judicious Reader. From this Experiment we fee firft, that the broader and larger a furface of a Fluid be, it’s the more able to fuftain a burden,- and the narrower it be, ’cis the lefs able. Second¬ ly, that each part of a furface, is able to fuftainfo much weight, and no more, and no Iefs. Before I put a clofe to this Experiment, it will be need¬ ful' to anfwer an obje&ion, propofed by Dotfor More in his Antidote again ft Atheijm , againft the Prelfuve of the Air, which in effeft militats, by parity of reafon , againft the Preflure of the Water likewife.. Hearguesthus. Ifthe Air were indowed with fo much Preflure, as is commonly affirmed, then it ought to comprefs,fqueez,or ftrain toge¬ ther, any foft body that it environs, as, v.g. Butter. Put the cafe then,there were a piece of nutter, four inches broad every way, and one inch thick, containing 1 6 fquare inches, upon every fide $ as may be reprefented by the Figure ip. In this cafe, there is a far greater Preflure, upon the two faces, than upon the four edges 5 and there¬ fore, it ought to be compreft, and ftrained together, to the thinnefs of a fheet of Paper. For anfwer, let us fup- pofe the piece of Butter^ to be 30 or 40 foot below the furface of a Water, where it ought to fuffer far more Pref- fure, than above in theAir. Next, that it lies Horizon¬ tal with one face upward, and the other downward. Thirdly, that the upper face fupports a Pillar of Water 200 pound weight, and confequently,' that the under face is preft up with as much. And laftly, that every edge is burdened with 50. It may be reprefented, with the help of the fancy, in the 19 Figure, where A B is a piece of Butter four inches fquare, and one inch thick. Only take notice, n8 eai Cicperttmnts* . notice, that nothing here is reprefented to the fight, fave one of the four edges, namely A B; the other three, and the two faces being left to the fancy : Yet, the upper face may be reprefented by F H K M, and the under by N 0 P Thefe things being rightly underftood, it is won¬ dered, why the two great and heavy Pillars of Water, the one E GIL F H K M, that prefleth downward, and the other NOP Q.R S T V , that prefTeth upward, do not Train together the fides of the Butter ■ feing the Prefliire of the Water B C , and the Prefiure of the Water U A, are far inferior to them for ftrength, even by as much difference, as four exceeds one. Though this ob¬ jection feem fomewhat, yet it is really nothing, which I make evident after this manner. Fi:ft, I grant that the upper face FHKM is burdened, with 200pound, and the nether face NOPCf with as much. Secondly, that the edge B, is only burdened, with 5c pound, as is the. edge A, The other tw r o edges, fuftains each one, as much. Secondly, though this be, yet I affirm'the two fides to be no more burdened, than the edges: that’s to fay, the Preffure upon the fides, is equal to the Pref- fureupon the edges, which I prove thus. The Prefiure upon the part M, is equal to the Prefiure upon the part K, but the Prefiure upon the edge B, is equal to the Prefliire upon the part M : therefore the Prefiure upon B, is equal to the Prefiure upon K. The major Propofition is evident, becaufe the Pillar of Water LM, is of the fame weight, with the Pillar of Water IK. The Minor is alfo evident, becaufe, the Pillar B C, is of the fame weight, with the Pillar L M. Now, if the Prefiure upon the edge B, be equal to the Prefiure upon M and K, it mufi be likewife equal to the Prefiure upon H and F. If this be, then the tpn?oeaticalC]cpenmcnt 0 4 119 edge of the Butter B, muft be no more preft, than the fide F H K M : therefore the Water B C, can no more yeeld to the Water E F G HIK L M, and fuffer the Batter to j be fqueezed out at B, than the V'Vater L M, can yeeld to | the Water E F G HIK, and fuffer the Butter to be i fqueezed out at M, If any man fhall infill and fay, that; the upper face bears the weight of four Pillars, which;', weighs 400 pound $ but the edge B is only buidened with j 50: therefore 50 ought to yeeld to 400, I anlwer, ac-j cording to the 29 T heorem, namely, that a t bicker Pillar of a Fluid is not able to prels, or move a f:,;derer , unlefs j there be an unequal Preffure, therefore";.'^ thick Pillar, that preffeth the face, cannot move the feeder Pillar, that; prefleth the edge: but there is here no mi equal Preffure,: feing the Water X Y L V, is of the fame night with the! fourPillais that rejfts upon the face of the Butur. _ T gran* ' if the faid Water were not fo high, as the other is, by one half 5 then fufely the Butter would be fqueezed out a • B; becaufe the fhorter a Pillar be, the lefs Preffure is in tfc. furface under it ; therefore, there muft be lefs Preffure, ; cording to that fuppofition in the Water B C,then now j- Or put the cafe, the Pillar IK were fhorter then GH, 0: L M, the fame effefl would follow, namely, a fqueezing out of the Butter from K. Or, let us fuppofe the Pillar I If, to be higher than G H or L M. In fuch a cafe, the weight of the faid Pillar would prefs through the Butter. From what is faid, we fhall only inferr this conclufion, that equality of hight between Pillars of a Fluid makes e- qual Preffure, and inequality of hight makes unequal Pref- j fine. Therefore ’tis no matter, whethei they be grofs or i fmall, thick or flender, provided they be all of the flmeAltitul,e ' . EXPE:.' II illliilMlti |!1! : . , .ihAui ^pmoSattcai £Epet:fmrnt& EXPERIMENT XIV- Figure 20, T H:s Scnematifm reprefents a Veffel full of Water 8 foot deep, E F is a Glafs-Pipe, open at both ends,about $> foot highland one inch in Diameter. ABC D is a Veffel oi Giafs,or of any other metal, thorow whofe orifice above, the laid Pipe comes down. B H I is a Pipe go : ng out from the faid Veflel, crooked with a right angle at H, that the orifice I may look upwards. That fomc Hjdroftitic.il conclufions may be inferred from this Expe¬ riment, fill the lower Veffel ABCD withQuick.filver almoft •. then pour in as much Water above it, as will fill the fpace AB H, leaving from H to I full of Air, Nest, thi uft down the orifice of the Pipe E, below the Paid Water and Mercury, till it reft upon the bottom C D. Laftly, ftopwell with cement the paffageof the lower Veffel, through which the Pipe came down, that neither Air nor Water may go out, or come in. Thefe things being done, let down this Engine to the bottom of the large Veflel, which, as was noted, is full of Water from M N to K L, 8 foot, and you will find the Mercury to rife in the Pipe from A B to G, 6 inches, and more. The reafon is, becaufe there is a Pillar of Water K I,that enters the orifice I, and preffeth down the Air, from I to P, 3 inches, which before was 6 , This Air being fo bur¬ dened; inftantly prefleth forward the Water HB A: and this p retting the furface of the ftagnant Mercury AB, caufes the liquor run up the Pipe from A B to G, inches; The reafon, why it rifech <5 inches, is this; between the furiace of the ftagnant Mercury A B, and the top of the water s^moftattca! experiments 1*1 ■Water LOK, are 84 inches. How Water being 14 times naturally lighter then Mercury, there muftbe 14 inches of Water, required for fuftaining one inch of Mer¬ cury, and confequently 84, for fupporting 6 , Fora fecond trial, lift up the whole Engine to the top of the Water, and you will find the 6 inches of Mercury BG fink down, and become no higher within the Pipe, than the furface of the ftagnant Mercury A B without. The reafon is, becaufe by coming up above the Water, the PrelTure of the Water K I, is taken away from the orifice I, by which means the compreft Air H P, extending it felf to I, liberats the Water A B H of the Preflure it had, and this freeth the Mercury of its Preflure, and fo the 6 inches falls down. For a third trial, flop clofely the ori¬ fice I, and let all down as before; In this cafe , you will find no afeent of Mercury from B to G: be- taufe the Water K I cannot have accefs to thruft down the Air from I to P , as formerly. Fora fourth,open the faid orifice I,while the Engine is below the Water, and you will find the Mercury rife from. B to G: becaufe the Pillar of Water K I, hath now accefs to prefs. For a fifth trial,flop the orifice I, and bring up all to the top, and you will find the fix inches of Mercury BG fufpended , as if the Engine were under the Water, The reafon is,becaufe the flopping of t he orifice, keeps t he inclofed Air P, H , under the fame degree of Preflure it obtained from the Water KI. Forafixth proof, open the fame orifice I, while the Engine is above the Wa¬ ter , and you will find the fix inches of Mercury fall down, becaufe tlie imprifoned Air H P, obtains now its liberty; and expanding it felf from H to I, eafes the Water BH cl the burden it was under. For a feventh, pour in 14 inches iii ^ojoftattcai €£ptrtment0* inches of Water at the orifice F, till it reft upon the top ■ of the Mercury at G, and you will find one inch fall down. Pout in as much, and two inches falls down. In . a word, pour in as much Water,as will fill the Pipe to 0 , - and you will find the whole fix inches fall down.' The reafon is } becaufe the Water K If is not able to fuftain, both the fix inches of Mercury and the Water, that’s poured in 5 any one of them being able and fufficient to counterpoife it, . For an eighth trial, empty the Pipe of the laid Water, and after the Mercury is afcended from ABtoG, as formcily , Turk out the whole Air between G and F, and you wdl find the Mercury to rife from G to R 29 inches. The-reafon of this is evident from the Pillar of Air S K , thitrefts upon the top of the Pillar of Water KI: for by fucking out the Fid Air, you take away thepWar or weight, thatcounterpoifed the weight of the Pillar S K , therefore it finding its counterpoife 1 removed, prefently caufeth the Water KI,-to enter faraer within the crooked Pipe, till it hath preft up the liquor to R. For a ninth trial, take the fix inches of Mercury B G, and put them into the fcale of a ballance . then take as much Water, as will fill the Tub between A B and 0, and put it intp the other fcale, and you will find a moft exa this would raife it. intirely. Eleventhly, that the com- preffion of Air- to lefs fpace, is not according to Arith¬ metical frogrcfsion, r, 2, $> 4, y, but according to fomc other proportion, which may be called Uniform-difform\ Note here, that though this be true of the Air, while it is compreft from a more quantity to a lefs, as here, or in a Wind-Gun ; yet it is not true of the Preffureof the Ele¬ ment of Air, which is more and more from the topof the Jtmofhtre to the Earth , according to Arithmetical Pro• grcfsiothzs in Water. We fee laftly, that the heavieft of Fluids, luch as Mercury, prefs upward, as Well as down* ward; becaufe the top of the Mercury K, thruftsupthe Water K S, as well as it thrufls down the Water P N R H. It may be enquired here, how far this Glafs would go down, before the inches of Air IK were reduced to one inch 1 I anfwer,its hard to determine ; but it feems it ought to go down more than 300 fathom. In this cafe, there would be a 8 inches of. Water above K. Let us fuppofe the orifice H to be flopped at that deepnefs, and the Glafs brought above the Water; then, when the Laid orifice is opened in the Air, you will find the whole VVater PNRH thruftout: and not only this, but the whole Mercury. P K, fpring out at the orifice H like- wife, except a little that remains between N and H: the reafonis, becaufe the 29 inches of Air, being reduced to one,, would be under a very great B enfil ; therefore the weight being taken away that begat it', of its own accord, it would expand it felf to'its old dimenfions; which it could not do, unlefs both the 2 8 inches of Water, that’s fappofed to be above K, and the Mercury KP were, tbiult out of their places,, EXPE-, Wioftatical experiments. 133 EXPERIMENT XVI- Figure 22. T His Schematifm reprefents a veil'd full of ’Vvater 84 inches deep, namely from L N the firft furface, to M R the bottom, From M to R in breadth are 20 inches. T here are here alfo two Glafs-Pipes open at both ends; the one, two inches wide, the other halfan inch wide. Both of them are 85 inches long, X Y 0 is a furface of ftagnant Mercury, among, which the two ends of the Pipes are drowned. EC is a Pillar of Mercury fix inches in height, and fo is GD, both of them raifed to that altitude, by the PrefTure of the Water upon the fur¬ face X Y O. The Pillar E C A is fupported by, and refts upon, the imaginary Pillar A P. And fo is the Pil¬ lar G D B,fupported by the Pillar B There are three things that occurres here from this operation of nature to be enquired after. Firft , why ought the Mercury to rife in the two Tubs -, after the Veftel is filled with Water ? Secondly, why rather fix inches-, then feven or eight? T hirdly,what’s thereafon, why it rifes as high in the wide Tab,as in the narrow i Ianfwer, the Mercury rifes from C to E, and from D to G, by the Preflure of the Water, that lefts upon the furface X Y 0 .. Before that the Water is poured into the VefTel, there Is herea m .ft equal and uniform PrefTure upon the furface XYO, both without and within the Tub, namely from the Air that refts upon it. But no fooner is the Water poured in, but as foon the PrefTure becomes unequal •, the parts of the furface without the Tub, being more burdened, then the parts Gaud D within. Therefore, the part that’s ij4 Ipptttoftaticai ©jcpenments, lefspreft, muft rife and climb up, till the Preffure become equal : for it’s impofllble that a Fluid can ceafe bom mo¬ tion, fo long as there is inequality of weight between the pr.diu and the potentia. It any doubt, let him pieice the fide of the Vend, and when the whole Water is run out, he will find EC and GD to have fallen down, which clearly proves the climbing up of the Mercury, to depend upon the in-pouring of the Water. For undemanding the re.ifon of the fecond, remember that Mercury (as we have often noted ) is counted 14 times heavier then Wa¬ tertherefore EC muft be fix inches, feing X YO is p-eft with the altitude of 84 inches of Water. It would be judged no marvel, to fee the Mercury rife from C to E, and from D to G, provided the face of the ftagnant Mer¬ cury were as high as Z F. No more ftrange it is, to fee the two Mercuries rife , with the Preffineof the Water; for in effed and really, the faid Water is the juft weight of as much Mercury as would fill between X O and Z F. For underftanding the third, remember (as was noted be¬ fore) that Fluid Bodies counterpoife one another , only according to altitude : therefore ’tis no matter, whether the Tubs be wide or narrow. If it be enquired, how can one and the fame Water, counterpoife two Fluids of diffe¬ rent weights ? To fay, that Fluids counterpoife one another according to altitude, doth not clear the difficulty; for it ftill remains to be asked, why they countej poife one another after this manner ? Therefore it feems, that if the Water raife the Mercury from C to E in the wide Pipe, it muft raife it in the narrow one from D to K. For anfwer, confider firft, that as there are here two Pillars of Mercury C E, and D G within the two Tubs, fo there are here aifo two Pillars of Mercury A P and B Q.J under ^D?oftat(cal^icpcnment^ w the two orifices, upon which the faid two Pillars ftand, and reft. Confider fecondly, that the Potentia or force of the Pillar A P, is juft equal to the Pondus of the Pillar EC A: Item, that the Potentia ol the Pillar BQ, is equal to the Pondus G D B. Thirdly, that the Potentia ol A P. is moft exa&ly equal to the Potentia of B and thereafon is, becaufe their tops A and B , are parts of the fame horizontal furface. I fay then, if AP be equal to E C A, and B Q equal to G D B, and A P, and B Q, equal among themfelves, then muft E C A be equal to G D B. The fame Water then , doth not counterpoife two Bodies of different weight. I grant E C A to be far heavier, than G D B, while they are weighed in a pair of fcales, but the one is not heavier than the other, as they are weighed in this ballance of nature. From what is faid , we feefirft , that in Water there is a PrefTure, and a confiderable weight. This is evident- from the rifing of the Mercury. We fee fecondly, that ■ Fluids counterpoife one another, only according to Alti¬ tude, Thirdly,that when a lighter Fluid preffeth up a hea¬ vier, there is no more pi eft up of it, than is the juft weight' of the prefling Fluid, becaufe the Mercury E C , is juft the weight of the Water that preffeth upon XYO, That’s to fay, the part of the furface-C, is no more preft with the Mercury E C , than the part X, is preft with the Water LZX. Fourthly, if Mercury were 28 times heavier than Water, only three inches would bepreft up: if it were but feven times heavier, the altitude would beat S, 12 inches above C. Fifthly, it’s aseafie fora large part of a furface, to fuftain a large Pillar, as ’tis for a narrow part, to fuftain a narrower Pillar: becaufe AP fuftains EC A, aseafily, as BO fuftains GDB, Sixthly, ij6 i^oftattcal experiments* Sixthly, that in Fluids there is a pondm and a potentia as is clear rromth £potentia 6f AP, that Curtains th z pondm of E C A. The Water likewife that Curtains, hath a potentia , 2nd the Mercury E C is the po??dm of it. Se¬ venthly, that there is ahvayes equality of weight between the pondm and the potentia. So is the pettntU of Ap, equal to the pondm E C A. Eighthly, that the pondm begets the potentia, So the weight of the Water, be¬ gets the potentia that’s in AP. For make this Water deeper, and you augment the potentia of A P. If you -fubt:a£ from it, the potentia of AP grows lets by pro¬ portion. Or the weight of E C A, may be faid to beget the potentia of A P. To proceed a little further, let us Cuppofe the Air HE to be removed. In this cafe, the Mercury rifes 29 inches higher than E ,* or 3 5 above C; even as high as S. In the narrow Tub it will climb up to. K,if you take away the Air IG. This comes to pafs, by vertue of the Preflure of the Atmosphere , that refts upon L N. Fronwhis we gather ninthly, that there is a counterpoife between the Air H E, and the weight of the Air that rerts upon LN; and that a {lender Pillar of Art, is able to counterpoife a thicker: for HE is far nar¬ rower than L N. Tenthly, that the Prerture of the Air, can be communicated thorow divers kinds of Fluids 5 be. caufe the weight that refts upon L N, is fent down tho¬ row the VVaster L ZX, and down thorow the fhgnant Mercury,and thrufts up the Liquor from A to S>3 5 inches. Eleventhly, that a lighter Fluid may be made to prefs with greater burden,than a Fluid naturall) heavier-, becaufe the weight of the Air upon L N, raifes 29 inches of Mercu:y, but the Water raifes-oaly fix. We fee twelfthly, that fluids have a fphere of activity, to which they are able te t^fooftaticai experiments* 137 i prefs up themfelves, or Fluids of different kinds: becaufe fii ft, the ftagnant Mercury can raife it felf no higher with¬ in the Pipe, than it is without, Next, the 84 inches of Water, can raife the Mercury no higher than E. Laftly, the weight of the Atmfj)hcre^ can raife the Mercury no higher than S, 2 9 inches above E. j ' For another trial, take out from among the Water, the ;; two Pipes, and Hopping clofely the two under orifices, fill them with Mercury to the brim. Then thruft them down as before, and open the faid two orifices, while they are below the furface X Y O, and you will find the whole Cylinder fall down from H to E, and there halt • and the whole Cylinder in the narrow Pipe falls down from I to . G. Or, if youpleafe, before this be done, flop clofely the orifice H, and the orifice I, and you will find the Mer¬ cury go no further down than S, by opening the orifice A; 1 and no further down than K, by opening the orifice B. This leads us to a clear difcovery of the reafon, why the Mercury fubfides, and finks down from the top of the Tub in the Barofcopt, to the 2pth inch, whatever the diameter of the Pipe be. And this lets us fee, that the Mercurial Cylinder is fufpended by the Air, after the fame manner, that the Mercury E C is fufpended after: and that there is tio more difficulty in the one, than in the other. EXPERIMENT XVII- Figure 23, 24. T His Schematifm reprefents a Water 30 fathom deep.' Under the firft furface A, there are fix imaginary, as B C D E F G. every one whereof, is five fathom below S another, i$9 i^fijoSaticaiejcpecmients* another. There are here likewife two Glaffes, each one 12 inches high, and j inches broad, like unto thefe, wherein Wine,Sack, or Brandy is preferved, T he Glafs G M hath its orifice G upward. The other Glafs is com- pieatly open below, without a narrow orifice. For making Experiment, take a long chord, as long as the Water is in ceepneis, and knit the end of it round about the neck of the Glafs atG. Take another line of the fame length, and laden it to the bottom of the other Glafs at L. Next, ibr fiakmg the two Glades, take two weights of Lead, and laden the one to the bottom at M, and the other to the open part or the Glafs at S, and T. The two weights then, are P and Q, each one of them about io or" im¬ pound weight. Thefe things being done, let firddown the Glafs G M, till the weight Cffink ; t fi ve fathom, namely from A to B, and if you pull it up, you will find the bottom covered with Water, from M to I, about four or five inches. Let it down next, from A to C, ten fa¬ thom , and you will find more Water in it • even as much as fills it from M to 2, about feven or eight inches. In pafilng from C D, the Water rifes from 2 to 3, If you fink it, from Dto E, the Water rifes from 3 to 4. The Water rifes from 4 to 5 , when the glafs is come the length of F. Analadly, when the Glafslsac G, the lowed fathom, the Water is as high as K, Let down next, the other Glafs from A toB, and you will find the Water rife in it from H to 1, four or five inches, as in the other Glafs, In going down from B to C, it rifes from 1 to 2. From C to D, it riles from 2 to. 3. From D to E, it rifes from 3 to 4, and fo for¬ ward , till the Glafs come to the lowed fathom, where the Water rifes as high as I, There gyi»otta«caic|Bptt(mt nt& There are here feveral Phenomena to be conficfered. Firft, that the Water creep in at the orifice G, and fills the under part of the Glafs from M to K. Secondly, v that net one particle of Air comes out, all the time the Water is in going in. Thirdly, that this Air is compreft from M to IC, nine inches. Laftly, that the ingrefs of the Wa¬ ter, is according to unequal proportion : becairfe while the Glafs pafieth from AtoB, more Water creeps in at G, and fills the bottom, then in palling from B to C. Ana more in going down from B to G, than in going down from C to D, as is clear from the unequal diyifions i, 2,-. 3, 4, 5, 6, For undemanding the reafon of the firfi:re¬ member that in this deep Water, there is a PrelFure, and that this Preflure grows, as the Water grows in deep- nefs, Itisthenbyvertueofthis, that the Water creeps in, and fills the bottom of the Yelfel; forineffea, every part being under a burden, and being therefore defirous to liberat themfelves from it, they take occafion to thruft in. themfelves, finding, as it were, more eafe here, than, without, the Air within the Glafs, being, under lefs Pref- fure, than the Water without. The fecond' Phenomenon is caufed by the ftraitnefs and narrownefs of the holeG: for this entry being no wider, than the thicknefs of a Sack- Needle, the Air cannorgo out, while the Water is com-' ingin 5 that is, thepafiage isfoftrait, that the one can¬ not go by the other. This leads us to the reafon of the third, for if nor one particle of Air go out, all the while the Glafs is in going down, then finely, the VVater fil¬ ling between M and K, muft comprefs the Air, and reduce it from twelve inches to three. But the greater difficulty is, why the ingrefs of the VVater is accordmg.co unequal proportion. For undemanding this, confider, that this . \ S 2 inequality 140 ^ptttoftatical ejectments* inequality, is not caufed by any unequal Preffure that’s’ in the Water ; for if this were true, then there ought to be lefs Freflure in the furface F, than in the furface E, and lefs in E, than in D, which is falfe and abiurd. This in¬ equality then, muft flow from the nature of the Air it felf, that naturally fuffers compreffion after fuch a manner. ’ Tis evident from the compreffion of Air in whd-guns ; for lefs force is required to comprefs the fi ft fpan, than to comprefs the fecond: orcontrariwife, more ftrength is re¬ quired, to comprefs the third fpan, than the fecond; more to comprefs the fourth, than the third and fo forth. ’Tis evident in all bodies endowed with Be.-ifil, as in the Spring of a much, that requires more ftrength to bend it,, in the end, than in thebeginning. For a lecond'trial, pull up from the bottom of the Wa¬ ter the Ghfs LI.H, and when it comes above, you will find nothing in it. Thereafon is, becaufe the Veflel be¬ ing open between T and S, the whole Water IH r falls- down by degrees 5 but in effecft, is really thruft out, by the ftrong Benjiioi the compreft Air IL, that now expands it felt, when it finds the Glafs go up thorow the Water, whofe Preffure is lefs, and lefs from the bottom to the top. but the contrary effeft follows, when the other Glafs is pulled up ; namely, the Water remains within the Glafs, and the Air above it, is thruft out by degrees, as the Glafs comes nearer to the top. Forunderftanding the reafon of this, confider fiift, that while the orifice G, is level with the loweft furface, where it now is 5 - that’s fuppofed to be- 30 fathom deep, there is a real counterpoife between the inclofedAir GK, and the ambient Water without : for with what force the one ftrives to be in, with the fame force the ocher endeavours to be out; and becaufe they are in. equal i^joftaticai comments* 4* equal terms, therefore the one cannot yeeld to the other. If you pleafe to give the vi&ory to the Water, then let the Glafs go further down; but if you defife the Air to overcome, then muft the Glafs be pulled up. Pull it then up from the place it is in 5 till it come to F, and you will find a confiderable quantity of Air come outat G, and after 2 or 3 minuts of time, emerge and come to the top A * in form of round Bells,or Bubbles. Thedeepnefs and grofenefs of the Water thorow which theBubbles come,makes theirmotion fo flow.Therenfonofthis eruption, muft be lefs Preflure of Water in the fur face F, than in theloweft G, from whence theGlafs came.Suppofe then,the loweft to have fix degrees of Pre{Ture,F to have five,E to have four,D three, C two, and B to have one.-and fuppofing the inclofed Air KG, to be' equal in force to the Preflure of the loweft fathom, it muft then have fix degrees of Eenfil in it. Put the cafe then, that with fix degrees of Benfil, it come to the furface F, that hath but five, it muft finely break forth , and over¬ come the force and^onw of that furface : for ’tis impoffibfe that two Fluids can be unequal in force and power, but the ftrongeft mufl> overcome , and the weakeft yeeld: therefore , when the orifice comes to F, the Air being ftionger than the Water, breaks forth5 and as long 1 doth this eruption'continue, as inequality of power con¬ tinues between the one and the other. In pulling up the Glafs from F to E, other five fathom, more Air comes' out. The reafonisthe fame, namely lefs PrefTurein E‘ than in F: therefore , when the inclofed Air, that hath five degrees oiBenftl^ comes to E, that hath but four, it muft overcome, and fo long muft it be vi&orious, till by expanding it fell, it be reduced to the Begftl of four. In’ pulling up the Glafs from E to D, more Air yet breaks i4i ^Djoftatfcal hums. °at, became a furface of three degrees of Preflure, is not able to relift four degrees of Benfil. In pacing from D to C , more Aircomes yet out for the fame reafon, till in going up to the top, where there is no Preflure, no more Air breaks out. 'Tis to be obferved firft, that the motion of the Air up thorow the W2ter is but flow,the mcditmbm° thick, and grofs. Secondly,that if the Glafsbe pulled up quickly, from one forface to another, or contrariwife, let down quickly, it prefently breaks in pieces. This comes to pafs through the ftrong Benfil of the inclofed Air, that muft have time to expand it felf, othenvife it breaks out at the neareft: for it being of fix degrees of Benfil) and coming quickly to a furface of five, there happens an unequal Preflure, the Tides of the Glafs being thruft out, with greater force, than they are thruft in with. But it fo be, the Glafs move (lowly up, the inclofed Air gets time to thruft it felf out by degrees, fo that whatever furface the Glafs comes to , - there is little difference between the Preflure of the. Water, and the Benfil of the Air, The reafon why rhe Glafs breaks in pieces, while it goes quickly down , is likewayes unequal Preflure upon the fides.* for in pilling quickly from a furface of five degrees,to a furface of fix, the fides are preft in with greater force, than they are preft out with, and the reafon is, becaute through the ftraitnefs of the hole G, the Water cannot win infoon enough, to make as much Preflure within, as there, is without. ’ T is to be obferved thirdly; that if the orifice G be flopped , before that the Glafs be fent down, it will not go beyond three or four fathom, when it (ball be broken in peices 5 though the motion were never fo flow: ana this comes to pafs, through the ftiong Preflure Comments* 14$ of the Water. Fourthly, the ftrohger the Glafs be in the fides, it goes the further down without breaking.- therefore^ round Glafs Bottle, will fink 20 or 30 fathom, before that it be broken with the Prefiure of the Water. If a Vefiel of iron were fent down, it ought to go much further, ^ An empty Cask , or Hogfhead, will not fink beyond feven or eight fathom , without breaking, or buifting 5 yet a Bladder full of wind, knitabout theneck with a Pack-Tbreed, will go down 100 fathom, yea 1000 without burfting. It may be here inquired, what fort of proportion is keeped by th tumqnd iwrejs of the Water ? I anfwer, it may be known alter this manner. Let firft down the Glafs one fathom, and having pulled it up again, meafure the deepnefs of the Water in the bottom , of it. Next, having poured out that Water, let it down two fathom, and pulling it ap, meafure the deepnefs, which you will find more, than afore. Do alter this manner, the third time, and the fourth time, till you come to the loweft fathom, and you will find the true proportion. From what is faid we fee firft, that in Water there is a Prefiure, becaufe through the force and power of this Water, the 12 inches of Air that filled the Glafs, are reduced to three. Secondly, that this Prefiure growes, as the Water growes in deepnefs: becaufe there is more PiefTurein B, than in A, more in C, than in B •, and lo downward. Thirdly, that when Air is compreft, by fome excrinfeck weight, th eBenfd is intended, and grows ftronger by unequal prof onion, as is clear from the un¬ equal diviflons, 1, 2, 2,4,5,6 . Fourthly, two Fluids cannot Ccafe from motion, folong as the potentia of the one, is unequal to the pondus of the otherthis is evident *44 iwoftactcal experiments* from the Water’s creeping in at G, all the while the Glafs is in going down ; and from the Air’s coming out, all the while the Glafs is in coming up. Fifthly, that no fooner two Fluids come to equality of weight, but as foon the motion ends: becaufe, if the Glafs halt at D,E or F, in the going down,-upon which follows a counterpoife, then dotfnhe creeping in of the Water ceafe. Sixthly, there may be as much Prefliire in a fmall quantity of a Fluid,as in the greeted : becaufe there is as much Benfil in the fmall portion of Air, included between K and G, as there is of PrefTure , and weight , in this whole Water, that’s 30 fathom deep. Seventhly, that the Preflure of a Fluid, is a thing really difhndt, from the natural weight-, this is evident from the PrefTure of the inclofed Air G K, that’s more and lefs, as the PrefTure of the Water ICM, is more and lefs, but the natural weight is dill the fame, feing the fame quantity remains. Eighthly, one part of a Fluid, cannot be under PrefTure, but the next adjacent, mud be under the Tame degree of Preflure: this is alfo clear, becauiewhat ever degree of benfil the included Air K G is under, the Water K M is under the fame. There¬ fore, when the one is under fix, as in the lowed fathom, the other is under fix likewife. And when the one is under five degrees of PrefTure, as in the furface F, the other is under as much. Ninthly , Benfil and Preflure are equivalent to weight : becaufe the Water KM, is as much burdened with the Benfil of that fmall portion of Air- above it , as if it had a Pillar of Water 30 fathom high upon it. Tenthly, that the Preflure of Fluids, is mod uniform and equal, and that two Fluids of different kinds, may prefs as uniformly, as if they weie but one: this is evident from the fides of the Glafs, that are not broken ir?gs?ohat(cai erptnmttitg, in pieces, by the ftrong Ben ft l of the indofed Airland heavy Preffure of the inclofed Water* and this happens becaufe the Preffure without, is as ftrong as the Preffure within. We fee laftly, that Water does not weigh in Water, becaufe when a man lets down this Glafs by the chord, to the loweft lurface, he finds not the weight of the Water K M, that’s within the Glafs, but only the weight of the Lead ’Tis certain } he finds not the weight of the Water IH-, becaufe it refts not upon the Glafs within, but is luftained by ’its own furface, the •mouth of the Glafs being downward > and open. When I fay Water does not weigh in Water ; the meaning is not, that Water wants weight or Preffure in it, but that this weight andpreffure is not found,as the weight andPreffure of other bodies are found , while they are weighed in Water. For example, a piece ot Lead or Gold, hung in the Water by a firing, the other end being fattened to a Ballance in the Air ,gravitats, and weighs down the Scale ? and the reafon is, becaufe Lead and Gold, are naturally and fierifically heavier than Water ; but a piece of Metal of tnc fame ftectfick weight with Water, or Water it felf, cmnot gravitatm Water, or weigh down the Scale of a Ballance• and the reafon is, becaufe the furface of Water upon which they reft, bears them up with as great weight and force, as they prefs down with. If it be faid, that the Water K M, refts upon the bottom of the Glafs within *, and therefore,if the man above, find the weight of the Glafs, he muft find the weight of the Water within it. I anfwer, the confequence is bad, becaufe the weight of the Water within,is fuftained,and eounterpoifed by the weight of the Water without, whereupon the bottom of the Glafs rtfts.That’s to fay,as there is a Pillar of Water K M within T the i4<$ Jfi?Djo 8 attcai ejcpertriunts, the Glafs, that prelTeth down the bottom, fo there is a Pillar of Water without the Glafs, whereupon the bottom of the Glafs refts, and which bears up both. But the great¬ er difficulty is this, the further down the Glafs goes, it grows the heavier, becaufe of more and more Water, that creeps in at G. How s tis certain, the weight Qjrows not heavier, therefore it muft be the Water within the Glafs, that makes the increafe of the weight ; and there¬ fore Water muft ftill weigh in Water. II this argument had any ftrength in it, it would prove the weight of the Water IH to gravitat and weigh likewife 5 becaufethe further down this glafs goes, it grows the heavier, becaufe of more, and more Water, that creeps up from H to I. Now ’tis certain, the weight of Lead B grows not heavier. Behold, the d’fficulty is the fame in both, and yet it were rafhnefs to affirm the Water IH to be found by a mans hand, when he puds up the Glafs with a firing, feing it is fuftained by itsownfuiiace , and not by any part of the Glafs. Though this might fuffice for an anfwer, yet be¬ caufethe contrary is mantaiued by fome, and that with a new Experiment to prove it, I fhall be at fome more pains to vindicat the truth of what I have faid. This new Experiment to prove that Water weighs in Wa¬ ter , I found in a Philofophical Tran fact ion , oiAuguji 16. Anno r 669. Numb, 50, the Invention whereof is attributed by the publifher, to that honorable and worthy Perfon Mr. Bojl, whofe conclufions and trials, I never much called in queftion,but finding this oppofite, and con¬ trary to what I have demonftrated , I fhall crave liberty to amicus Socrates , amicus Plato, fed magis arnica veritas ; and fhall therefore examine it as briefly as may be, The words of the Publifher are as follows, ' • The {^Djoftatfcai €jepertment& 147 The Author if this Invention is the Nchle Robeit '&yl - who was plcafed to comfy with our de fires, of communicating it in Englifhto the curious in England , as by inferring the fame in the Latine Tranflation o/Hr Hydroftatical Para¬ doxes, he hath gratifedthe Ingenious abroad. And it will doubtlefs be the more welcome,for as much as no body,we know of , hath fo much as attempted to determine, hew much Wa¬ ter may weigh in Water 5 andpofftbly, if Inch a Problem had been propojed , it would have been judged impraBicable. The Method or Expedient ,he made ufe of,to perform it,as near as he could, may eaftly be learned by the en filing accompf of a Trial or two, he made for that purpofe, which among his Notes he caufed to be regifred in the following words , A Glajs- bubble of about the bignefs of a Pullets egg, was pt/rpofely blown at the fame of a Lamp, with a fomewhat long (kem turned up at the end,that it might the more conveniently be broken off. This Bubble being well heated to rarify the Air, and thereby drive out a good part of it, was nimbly fealed at the end, and by the help of the Figure of the fern, was by a convenient Weight of Lead deprefed under Water, the Lead and Glafl being tyed by a firing to a Scale of a good Ballance , in whofe other there was put fomuch weight,as /ufficedto coun¬ ter foife tbeBubble,as it hung freely in the midfl of the Water, Then with a long Iron Forceps, I carefully broke off the feal’d end of the Bubble under Water,fo as no Bubble of Air appear d to emerge or efcape through the Water, but the Liquor by the weight of the Atmofyhere,Jprung into the un*repkni(ti d part of the Glafs-Bubble,and fill’d the whole cavity about half full ; andprefently, as I foretold, the Bubble fubftded, and made the Scale ’twos fafned to, preponderate fo much, that there needed 4 drachms, and 3 8 grains to reduce the Ballance to an equilibrium. The# taking out the Bubble with the Wa¬ ll z ter I4-S §p&zo&attcal experiments* nr iUft,we di&M the help of a flame of a Candle,warily apply - td-.drive out the Water {.which other wife is not etfily excluded at a very narrow (lew) into a GUfs counter pot fed he fere ; and vet found it , as we expefttd , to-weigh about four drachms :.r,d 50 grains, beftdes feme It .tie t'.at remained in the Ezz- and feme (mall matter tl at might have been rarified- into vaters , which added to the piece of Glafs that was bro¬ ken ef under Water and-lcf there , might very well amount to ~ cr"S grains- By which it appears not only , that Water- hat': (ome weight tn Water , but that it wighs very near , or altogether as much its Water, as thefelf (ame portion of Liquor would weigh in the Air, The fame day we repeated tbe Experiment with another feal~ tdBubble-Jarver then the {ermafheing as big as.a great tiens- ezg) and having b. uleen this under Water , it grew heavier hf ~. drachms and 34 grains. 5 and'having taken out th%- Bubble , andd> iven out the Water into a counterpois'd Glafs ,. we found the tranfvafated Liquor to amount to the fame weight , abating 6 or 7 grains , which it might well have lofl upon [uch attempts, as have been newly mentioned. Thus he, Figure 24. T He cefign then of this Experiment is to prove that ‘i ater weighs in Water ‘ but, it Teems, there is here 2 very great mifhke, which I lh.ill make out after th : smanner. For which caufe, let this Schematifm 24 re prsfent the Experiment already defci ibed. T he Glafs- bubbl : then is E P F R, The ftem is H C: the weight . that links the Glafs is B. The furface of Water unler which it is drowned, is*AD. The Ballance to which the Glafs is knit by 2 firing is N O. And Iaftly E F R is the Water that C2me in } and filled |he halt oi the Bubble,. i)pc?oftat(cal Cjcpettments. 149 Nowlfay, it is not the weight of the Water E^R, that turnes the Scales above, and makes an alteration in the Baliance, but .’its only the weight of the Lead B, that does it. For evincing this, confider that all heavy bodies,, are either lighter in (pccie than Water* ascork, or oi the fame jpccifick weight with it, as fome Wood is, Of laftiy heavier in fpeciet han Water, as Lead or Gold, Now ’tis certain, that bodies of the fiift fort cannot weigh in Wat a , and the reafon is, becaufe they being naturally lighter, their whole weight is fupported by the Water, and therefore not one part of them, can be born up. by a Baliance above. A piece of Cork that weighs 1 2 ounces in the Air, weighs nothing in Water, becaufe as foonas it toucheth the furface, the whole weight of itis fupported, and therefore cannot affe& the Baliance above. But bodies of the third fort, as is clear from experience and reafon, does really weigh in Water .• And the reafon is, becaufe they being naturally heavier than water, their whole weight cannot be fupported by it, and therefore fome part of them muft burden the Baliance, to which the body is knit. A pieceof Lead, that weighs 12 ounces in' the Air, will not lofe above 2 ounces, when’its weighed in Water 5 or may be lefs. But here there is no difficulty.. The queft.on then is, in order to bodies of the fame fpcci- M weight with Water, asfomc Wood is, oras Water' is. I fay of fuch alio, that they cannot weii-h in Water 5 - and the reafon is, becaufe they being ufr ol the fame' weight, muft have their whole weight fuppoited-by it 5 even as one foot of Water, fupports the whole weight of the foot above it. It may be evidenced after this manner. Take a piece of Wood, that’s lighter in fpecie than W^ter, and add weight to it by degrees, till- it become of the ifo ^p&jDftaticai espenments* fame^weight With Water. Knit -it with a firing to i Ballance, ond weigh it in W2ter, and you will find the whole weight fupported by the Water, And the reafon is, becaufe, being left to it felf, it can go no further down, than till the upper part of it, be level with the furface of the Water, Now, the whole weight being thus fup¬ ported , not one ounce of it can burden the Ballance. In a ward, the Ballance can never be burdened, unlefs the body that’s knit to it, have an inclination to go to the ground, when left to it felf, which a body of the fame weight with Water can never have. I conclude then, if a body of the fame weight with Water , cannot weigh in TTiter , neither can Water weigh in Water , feing Water is of the fame weight with Water. And There¬ fore the Water E F R, that’s now within the Bubble, can¬ not in anywifeburden the Ballance above 5 but muff be fupported wholly by the Water IKGH, upon which the bottom of the Glafs refts. If it be faid, that the Glafs it felf is fupported by the Ballance, becaufe ’its heavier in [fecit than Water • therefore the Water within that refts upon the fides of it, muft be fupported likewife by it. I anfwer , the whole weight of the Glafs is not fupported, by the Ballance, but only a part 5 the Water IK G H fupporting the other part. And this part is juft as much as is the weight of Water, that’s expelled by the Glafs. Now, if the faid Water fup- port fo much of the Glafs, becaufe it is the juft weight of fo much Water, why fhoula it not alfo, fupport the Water within the Glafs ! Seing the Water within the Cflafs, is juft the weight of as much Water, as will fill the fpace EFR, I come in the next place to (hew, that it is the weight of ^oftattcaic^nimn^^ in of the Lead Bthat turns the Scales, when the VVater comes in at C, and fills the half of the fphere, 'For undemanding this, Ietusfuppofe firft, thfe weight that’s in the Scale 0 to weigh fix ounces. Secondly, that'the Glafs takes 12 ounces'to fink it compleatly under the fur- face A D. Thirdly , the weight B to be x8 ounces ; namely for this caufe, firft, that 12 of it may fink the Glafs 5 next, that the other fix may counterpoife the fix in the Scale O. Laftly, that the VVater within the Glafs weighs fix ounces. I abftraft from the weight of the Glafs it felf, which is not confiderable, feing the moft pare of it, is fupported by the Water, and not by the Ballance. Now, I fay, ’tis fix ounces of the weight B that makes this alteration, andturnesthe Scales. For if 12 ounces fink the Glafs below the VVater, when ’its full of Air, and no Water in it, then furely fix are fuffident to fink it, when it is half full. And the reafon is, becaufe there is a lets Potentia or force in fix inches of Air, by throne half, to counterpoife a weight of 12 ounces, than in 12 inches of Air. Therefore this Air, being reduced from 12 inches to fix, it muft take only fix ounces to fink it. If this be, then rhe other fix ounces that now wants a party to coun¬ terpoife them, muft burden the Ballance,and be fupported by the Scale .• and therefore , to make a new tquipendium again, you muft make the weight Oi2 ounces, by adding fix to it, that it may counterpoife 12 of B, the other fix being counterpoifed by the Air EPF. Let us fuppofe next, this Glafs to be compleatly full of Water, and the whole Air expelled. In this cafe rhe Scale 0 , muft have x 8 ounces in it, for making a new eqmforJhtn, The reafon is, becaufe there being no Air in the Glafs to coun¬ terpoife any part of B, the whole weight of it muft be fuftained i $2 t^DjoSaetcai experiments, fuftained by the Ballance, and therefore in the Scale 0 , there mail be 18, Now, I enquire, whether thefe 18 ounces,are the equifiondiumd theVVater within theGlafs, or of the weight of Lead'S i ’Tis impoffibleit can coun- terpoife them both, feing the V Viter is now 12, and JB 18. It muft then either he the counteiballance of the Water, or the counterbalance of the Lead. It cannot be thefirft, becaufeia cannot be in equifondio with 18, It muff then be the fecond. Or if thefe 18 ounces in the Scale 0 ,be the counterpoife of the Water within the GIals,I en¬ quire what fuftains the weight of the Lead B C The weight of it, cannot be fuftained by the Water, becaufe his a body naturally heavier than Water, it muft therefore be fuftained by the Ballance, I conclude then, that Water cannot weigh in Water. If it be objected, that this con- cluflon feems to contradidt, and oppofe the Preffure of the Water, that’s been hitherto confirmed with fo many Experiments. Ianfwer, the Prejfure of the Water is one thing, and Water to weigh in Water is another. The firftis, when one Pillar of Water counterpoifes another, or when a Pillar of Water counterpoifes a Pillar of Mercu¬ ry, or is counterpoifed by a Pillar of Air, all which is in order to the Natural Ballance, wherein bodies weigh only according to altitude. The fecond is, when Water is not counterpoifed by Water, or by Mercury, or by Air, or by any other Fluid 5 but when ’its weighed by a piece of Lead or ftone in an Artificial Ballance , for know¬ ing how many ounces or pounds it is of, as if a man ihould endeavour to weigh the Water E F R by help of the Ballance above, which in effe# i? impoftible. EXPE- n^tyoftattcal eicpcrtments* m EXPERIMENT XVIII. Figure zs. M Ake a Wooden Ark after this following manner. The Planks rauft be of Oak, an inch thick. The height 40 inches.The breadth 3 tf.Clofs on all fides,and above,and' open below. And becaufe the form is four-fquare,there muft be four Standarts of Timber, in each comer one,; to which the Planks muft be nailed. Four.likewife upon the top, crofting the other four at right angles, - to which the cover muft: be joyned, The fides muft be plained, and the edg¬ es both plained and gripped in all the parts, that the joyn- ingsmiybeclofs. Upon the top fallen a ftrong Iron Ring, asatN, through which muft be faftned a Rope, of fo ma¬ ny foot or fathom. And becaufe the ufe of this Engine is for Diving under the Water, it muft therefore be all co¬ vered over with Pitch within and without, efpecially in the couplings. And becaufe this.Inftrumtnt cannot fink of its own accord, it muft have a great weight oi Lead appended to it, for thatcaufe, whereupon the Divers feet muft ftand, while he is in going down. The precifequantrty and weight of it cannot be determined 5, becaufe it depends upon the quantity of the Ark, which if large, requires a great weight: if of a lefler fize, requires a lefler weight. But whatever the dimenfions of the Jrk may be, the weight of the XM«?f»-/Mt*/w/caneafilybefoundoutby trial. This In¬ vention then, is for Diving, a moft excellent Art, for lift¬ ing up of Guns* Ships , or any other things, that are drown¬ ed below the Water. And it is in imitation of the Div¬ ing hell, already found out, and made ufe of with fuccefs. Ins-called a Bell, becaufe of the form, that reprefentsa V Church- >54 bpwsftatfcal Ctpmments. Church-bell indeed, being round, wide below, and nar¬ rower in the top: only, the matter is of Lead. It feems, it is of this mettal, firft, becaufeLead is weighty, and will therefore eafiiy fink: fecondly, becaufe it’s eafiiy founded, and will by this means, being of one piece, be free of rifts, and leaks: thirdly, it being of Lead, will be of a confi- derableftrength for refitting the force of the Water,' that ordinarily breaks in pieces Veffels that are weak. I cannot vreli drvine and guefs the reafon, why firft it is round, and' next nirrower above, than below, unlefs, becaufe its more eafily rounded after this way, than after another. This device here defcribed is named a Diving Ark •, firft,becaufe it is of Timber, and next, becaufe it fives a man from be¬ ing overwhelmed with the Waters. I prefcribe it of Wood, becaufe of iefs trouble, and expence in making of it. ’Tis four lquare, becaufe it contains under this Figure, far more Air, than if it were round 5 even as much more, as a fquare Vcfreijo inches wide, contains more than a round Vefiel 30 inches wide. Now, the mo:e Air, that’s in the VefTel, the eafier is the refpiration, and the longer time is the man able to abide under the Water, which two things a:e of great advantage to this Art. For if by a guefs w-e reckon, how much more Air is in the one,than in the other,we will find in the Ark , as before it is defcribed, 30 fquare foot of Air, but in the 5 c//, though it be 36 inches wide, as well above, as below 1 , yet little more than 23 will be found, which is a conftderable difference. But far lefs muft be in it, feing it’s narrower above, thanbelow\ Befides this ad¬ vantage, there are-others very ufeful: for being of Wood, it’s more traftable. Next, feveral Knags of Iron may be fattened conveniently to the fides within, to- which a man faftning his hands, may keep his body fixed and fine in go- iSS ing.down, and coming up. Moreover, if a man were in hazard to be confpundedwith' fear, .or lofe the right exer- cife of his fenfes, and fo be in danger of falling out of the Ark or if his feet ihpuld flide off the fcot-ftool^ *&d his hands fail him too, .a chord knit to oneof thofe,and fallen- ed about his waft or middle , might bring him up, though he were .dead. Then, its far eafier to cut out a window or two in the Tides of it, not very large, but little, as fC and I, whereby, they being covered with Glafs, a man may fee at a diftance, what’s upon the right hand, and what’s upon the left, and what is before. This device is of excellent life,for through the want of it,the Diver fees no more,bnc what is juft below him, which fometimes, when he is near 'the ground, will not exceed the compafs of a large Miln- wheel. But if fo be, three holes be cut thorow, one on every hand, and one before,he may fee as much bounds,and all things in it,as il he were not in.dofed,andmv:ironed with a cover. A little fchelf likewife may be fixed upon • the one fide or the other, for holding a Compafs with a Mag- netical.Needle,for knowing how fuch and fuch a thing lies in the ground of the Sea, In one of the corners may hing a little bottle with fome excellent fpirits, : for.refiefhing-the ftomach, under Water, Many moe advantages I might name, this Engine being of Timber, but ihall for¬ bear ; leaving the colle&ion of them to the ingenious Reader, and proceeds to anfwer fome objections, that may be made.againft it. Firff, if this Engine be made of Wood., it will not fink fo eafily, as being made of Lead. Ianfwer, this difficulty isfoon overcome, namely by making iheXool-foal .the heavier: therefore how light foever it be, a weight may be found to counterpoife it in the Water 6 : :If. it be judged V -2. too i?6 ifptyo8atfcal ocpecmunt0* too light in Timber, it may be lined with Lead, efpecially without, Secondly, if it be of Wood, there muft be couplings and joynings in it, and fo rifts and leaks in it, through which the Water may come. I anfwer, there is lets difficulty here , than in the former •, becaufe the joyuts may be made fo dofs in-all the parts, and may be-fo covered over with pitch, or with fomefuch like matter, that it may defie either Water to come in, or Air to go out. T hirdly, if it be made of V Vood , it will be in ha¬ zard of breaking by the force of the Water; for oft times its found, that theftrongeft ffogjhealmll burft a funder by the Preflure of it, if they go but down 7 or 8 fathom. I anfwer, this objection flows from the ignorance of the nature of Fluid bodies. If lobe then., that a man knew, that the Preflureof Water is unifoim, moft equal, and pjefleth upon all the parts of a body within it alike , no fuch lcruple would occurre. I fay then, the Ark, though no thicker in the files, than a thin fawen dale, will go down, in fpightofall the Preflure that’s in the Water, not only 10, but 20, or 30 fathom, without all hazard. And thereafon is, becaufe what Preflure foeveris without, to prefs in the fides, the fame degree of Preflure is within to prefs them out. By this means, there is not one pare of die Water, howdeep foever, to which the Ark may comedown, but there will be found as much force in the Air within,as will counrerballance the whole weight with, out,as will be infallibly demonflrated afterwards, Thisan- fwers a fourth objection , namely if holes be cut out in the fides of the Ark,in ftead of windows,the force of the Wa* ter will break the Glafles in pieces,that covers them.There is here no hazard, though the faid windows were 12 inches ia Diameter: bucks not needful they be fg large. , It’s fuf- i^p^ofiattcal Cicptttnuttts* 157 ficient, if they be 2 inches wide: for a mans eye near to a hole, 4 inches wide, will fee a great way about him. There’s a neceflity the Glaffes be joyned in with cement, that Water may not have accefs to come in, or Air to go out. In fuch a cafe ther’s no hazard, that the Preifure of the Water, will break through the windows, or break the Glaffes-, becaufe the Preffure of the Air within, being of the fame force with the ftrength of the Water without, the Glaffes are keeped intire. It may be enquired, what hazard would follow, upon fuppofition a fmall hole were ' pierced in the head of the Ark above, when it is going down ? I anfwer, ther’s not fo much hazard, as a man would think-, provided the hole be not wide, but narrow. Ititbewide, not only the Water comes in , buttheAir goes out, the one thrufting it fell by the other. If the hole be no wider, than the point of a bodkin is in thicknefs; ther’s no danger at all: for by reafon of the ftrait paffage • the one cannot thruft it fell by the other, and therefore neither the Water can come in, nor the Air go out- And this comes to pa fs, by reafon, that the Air within, is as ftrong as the Water is without. Now, if they be both of the fame ftrengch and force, why ought the Air rather to go out, then the Water to come in 5 or the Water rather to come in, then the Air to go out? I am confident, though the hole were as wide, as a man might thruft in his little finger, yet no irruption of Water, or eruption of Air would follow. This demonftrats clearly, that though a fmall rift, or leak fhould happen in the Ark , yet no haz¬ ard or danger would follow thereupon. If it be inquired, whither the greateft hazard is from the ingrefsof the Wa¬ ter , or from the egrefs of the Air ? I anfwer, ther’s no danger from the coming in of the Water from above 5 be- 159 $pfyQ{lattcai CEpenmentSu canfe as it comes in, it falls down, and fo'mingleswith the reft below. But if the Air Ihould go out, the Ark fills pre- fently full of Water, and drowns the man that is in it. The next thing confiderable in this Diving Inflrumcnt , is the foot-ftool of Lead C D, that’s not only ufeful for a man to let his feet upon, when he dives? but efpecially for finking of the Ark. For this being made of Timber-; and full of Air, cannot of’its own accord go down, unlefs it be pulled, and forced by fome weight. It may either be broad and round, or fquare: if fquare, a large foot over from fide to fide, or 1 6 inches will determine the breadth. By this means, it will happen to be pretty thick, feing.a great quantity of Lead is required. In each corner, there mail be a hole, for four chords, by which it is appended to the mouth of the Ark, Between it, and the roof-within, muft be the height of a man and more. The weight of it, cannot be well determined without trial • ferng it dependsuponthedimenfions ofthe Ark. Firft then try, how much weight,will bring the top E F G H level with the furface of the Water. When this is found, add a little more weight till it begin to fink, and this will Purely take it to the ground, though it were 40 fathom. ’Tis to be obierved, that when the top E F is level with the fur- face, there is here a juft counterpoife, namely between the Lead foot-(tool on the one part, as a pndtts ^ and thzArk on the other part, as a potential for with what force the Ark endeavours to pull up the Lead ; with the fame force ftrives the Lead to pull down the Ark. Hence it is, that as a fmall weight will turn a pair of Scales , when they are in tcpiltbrio 5 fo a fmall weight added to the fo*t-(lool will fink the Ark. Though it may feem difficult to determine the juft weight of the foot-ftool, without trial ^pDjoftattcal experiments* 15s as I faid, yet I purpofe to efiay it. For this cafe con' fider that there is no VefTel of Wood aImoft,if it be once full of Water, but the orifice of it will ]y level with the furface of the Water, wherein it fweems. This propo¬ rtion is fo evident from experience , that it needs no con¬ firmation. From this I gather, that as much weight of Lead or Stone will bring the top of the Ark E F G H, level with the furface of the Water, as is the weight of the Water, that fills it. It you fuppofe then the Ark to be 5 <5 inches broad , and 40 inches high, it muft con¬ tain 30 cubiquefoot of Water. Now, fuppofingeach fquarefoot of this Water to weigh 56 pound, 30 loot muft weigh itfSo pound. This is gathered from trial and experience, for after exadl fearch, I found a cubique foot of Water, in bulk about 1 6 pints of our meafure, to weigh 5 6 pound. Take then a piece of Lead of that weight, and you will find it make a juft counterpoife with the Ark, It any be defirous to know the quantity of it. I anfwer,if lead be 13 times naturally heavier then Water, . you will find that a piece of Lead about 16 inches every way will do it. If it be. objetted, that when a mans body is within-the Ark, the weight of the foot-ftool muft be lefs, even as much lefs, as is the weight of the man,whom I fuppofe to weigh 224 pound, or 14 ftone. I anfwer, the whole weight of the man is not to be deduced from the foot-ftool, but the one half only, and the reafon is, becaufe a mans body being of the fame fpecifick. and na* rural weight with Water, it cannot preponderat or weigh in Water, becaufe magnitudes only naturally heavier ' then Water weigh in Water, as Lead , or Stone$ • therefore feing the one half of the man is within the Ai k, and the other without among the Water, that part only muft - i6o ^ptyoftatJcai experiments, muft weigh, that’s invironed with Air. This mayTeem a plau'fible anfwer,and might do much to fatisfy thefe, that are not very inquifitive, yet, being examined, it will be found unfufficient. Therefore, I fay, there’s not one part of the mans body, that weighs within the Ark, or makes it havier. -Yet, I affirm, that when the mans body is withmtheArk, a lefs weight will fink it, then when his body is out of it, even as much lefs than before , as is the juft weight of the one half of the man. For example, if 1680 pound be the juft counterpoife of it without the Man, then after the Man is in it, it will take only 1568 pound to counterballance it, fuppofing the one half of the man to weigh 11 2 pound , or feven ftone: yet it is not the weight of the man that makes this difference. For underftanding what’s the caufe of this alteration, con- fider,that when a mans body is within the Ark,there is lefs Air in it, then while his body is out of it, even as much lefs in quantity, as the bulk of the parts are, that are within. If this be, then muft the Ark become heavier, not becaufe the mans body makes it heavier, but becaufe there is lefs Air, in the Ark, then before, and therefore, there arifes an inequality between the weight of the foot- ftool and the weight, or rather lightnefs of the Ark. For if 1680 pound of Lead, was the juft counterballance of it, when it had 30 Qubique foot of Air within it, it muft exceed, when there is lefs Air in it. But there occures, here two difficulties, the firft is, whit’s the reafon, why as much weight muft be deduced fromthefoot-ftool,as is the the precife weight of the one half of the man? Secondly, how {hill we come to the true knowledge of that weight • that is, to know diftinftly how many pounds or ounces it is of ? For anfwer, let us fuppole, that the one half of the IjfD?oltat (cal experimen ts, i6i the ram, is juft; as heavy., as To much Water equal inbuilt to his own half. This may be granted without fcruple, feing a mans body is judged to be of the fame fpecifick, and natural weight with Water .• and though there fhould be fome fmall difference, yet it will not make, or produce any infufficiency in the argument, for thefe demonftrati- ons, are not Mathematical but Phyfical, Therefore, as much Water in bulk, as is equal to that part of the man, that is within the Ark, muftbe as heavy, as the half of the man. Now fuppofing the half of the man, to weigh 112 pound , and confequently that Water, to weigh as much , I affirm the faid Water to contain 345 6 cubique inches; but 3456 cubique inches, makes exa&Iy two cubique feet, which I gather thus. Seven pound of Water'requires 216 cubique inches, becaufe a Cubed fix inches, weighs exactly fevenpound, therefore accord¬ ing to the rule of proportion, 112 pound will require 3456 inches, which amounts to two cubique foot. The Ark then by receiving the one half of the mans body, lofeth two cubique foot of Air, therefore if 3 0 foot of Air, require 1680 pound weight of Lead to counterpoifeit, 28 foot of Air, muft require only 1568 pound: therefore to make a new counterbalance, you muft deduce 112 pound from the foot-ftool. This anfwersboth the diffi¬ culties, If it be faid, that the foot-ftool weighs lefs in VVaterthanin Air, therefore it muft be heavier, then 1680 pound. I anfwer, ’tis needful to abftradt from that difference, till the juft calculation be once made, and that being now done, I fay , that a Cube of Lead 1 6 inches weighing 1680 pound , ( If Lead be 13 times heavier than VVater ,) will lofe about 130 pound. The reafon is evident, becaule a heavy body weighs as much X lefs i6i ^pDjo&aticai e&pcrtmems* lefs in Water than in Air, as is the weight of the Water it expeils. But fo it is, that a Cube of Lead of 16 inches expeils a Cube of Water 16 inches : But aXnbe of Water 1 5 inches weighs 130 pound, which I gather thus, 216 inches.or a Cube of fix inches, weighs fevea pound, therefore 4032 inches, muff weigh 130 pound. For if 21 6 give 7,403 2 muff giver 30. But to return. Though there be finall difficulty to let it down and to fink it 20 or 30 fathom, yet there is no fmall difficulty to *pull it up again, And the reafon is this, becaufe the further down it goes, the Ah within, is the more contracted, and thruft up, by the Preffure of the Water,towards the roof. By this means,though near the top of the Water, there was little difference between the weight of the Lend and the Ark-, yet 9 or 10 fathom down, the difference is great, the weight of the one,far exceeding the weight of the other,and therefore there muff be great¬ er difficulty to pull it up from x 0 fathom,than from 5 : and yet more difficulty from 20 than from 10. However, yet’tis obfervable that, as the Ark in going down, be¬ comes heavier and heavier, fo in coming up, it growes lighter and lighter: therefore lefs ftrength is require!, in pulling it up from the tenth to the fifth fathom, than from the fifteenth, to the tenth: the reafon is, becaufe incoming up, the Air within expands it felf, and fills more fpace in the Arkwhich in effeCt makes it lighter, and more able to overcome the weight of the Lend, To make thefe things more evident, kt us fuppofe, that when the Ark is down 18 or 20 fathom,the Air to be contracted by the force of the Water, from L M to P Qf' 12 inches. Next, that the weight of the foot-(lool is i 62 o pound. Now, if this weight was the juft counterpoife of the Ark, @pBjottaflcai experiments. 163 at the top of the Water, then furely it mull far exceed itnOw, when it's 20 fathom down, becaufethe Air that was 3 o foot, is now reduced to 21. Count then, and you will find, that if 30 require id8o, 21 will only require 1176; therefore the weight of the Lend, will exceed the weight of the Ark^ at 20 fathom deep, byjc>4 pound. This will be yet more evident, if we confider, that while the top of the Ark E F G H , is level with the furfacc above, the Water thruft out of’its own place by this bulk, is juft the weight of both. Lead and Ark. But when ’its down 20 fathom, and the Air reduced-from L M to PQ, there cannot befo much Water expelled now as before, feing the fpace LMP'Ql is full of Water, Now, I fay, theZtWat 20 fathom, muft be exaftly fo much heavier than the Ark , as is the weight of the faid Water LM PQ, which in effect will be 504. pound; for ’itsafquare body , 3 6 inches in thicknefs and 11 in deepnefs. The weight of the rope is likewife to be confidered, that lets down the Ark : for the longer it be, and more of it goes out, it’s the heavier, and more trouble- fome to pull up. There is no way to cure this difficulty, but by finding out away, how to keep a juft counterpoife between the Lead and the Ark , all the time it is in going down. If the Air within did not contrad it felf, no difterence-would happen: but this is impoflible', fo long-as the Water is ■under a Preftiire. The expedientthen muft be found out another way, namely by kniting a fmall rope to the iron ring N, in length with the other, to which at certain di- ftances, relating to the fathomsthe^goesdown, muff befaftned empty little VefTels of Wood, or bladders, which by their lightnefs, may compenfe the decrement Xi and i64 ^ptyoftaticai experiments* and decreafing of the Air. Firft then, let down i\\?Ark three fathom, and fee how much it is heavier than before .• and as. you find the difference, fo faften to R one Bladder* or two, till the Ark be brought near to a counterpoife; Secondly, let it go down .other three fathom, andobfeive that difference alfo,. and accordingly fallen to T as many^ as will reduce .the two to a counterpoife again. Do after this manner, till it fink 15 or 30 fathom. ’Tistobeobi ferved,that the further down the Ark goes, the difference is the Iefs: therefore lefs addition will ferve: and the reafon is, becaule there is lefs Air contra&ed, in paffing between the fifth snd the tenth fathom $ than in paffing from the fi: ft to the fifth. The proportion of contra&ion is reprefented by the.unequal divifions within the mouth oitheArk, asi, 2.3.4.. In a word, by whatpropor- tion the decrement of the Air is, by that fame proportion muft the addition be, upon the rope SN. Suppofethen, the Air to be diminifhed four inches, in going down lour fathom, which will be 5184 fquare inches, or three fquare foot, then furely as much Air muft be added to the rope S N, by bladders. In going down as far, let us fuppofe three inches tobecontraded*then lefs will fuffice.Though it cannot be determined without trial, how much Airis contra&ed in three fathom, and how much in fix, and how much in nine 5 yet this is fure, that the decreafing is according to unequal divifions, that’s to fay, lefs in fix than in four lefs in 8,- than in fix, and lefs in 10, than in 8,-and fo downward: and that this is the rule, namely according to what quantity,the Air within the Ark is con-- traded, according to that fame meafure,muft the addition of Air be.to the rope If it be faid, that Bladders full of wisd, cannot go down thorow the VVater without burft-, i^oaatical e^pertmentsb 16 $ ing. I anfwer, ’tis a miftake, becaufe their fides being pliable, and not ftiff like the- fides of a Timber Veflel, theyjeeld , and therfore cannot burft. It's obfervable that when a bladder goes far down, the fides becomes flaccid and flagging. In this cafe, the Air, that before, had the forme of the Bladder, and was fomewhat ovall, muft now become perfectly globular, and round: for ’tis fare , that the dimenfions of it are altered by the PrefTure ofthe Water, namely.from more quantity to lefs: ifthis be, then the form muft be round, feing the PrefTure of the Water is moft uniform; even as drops of Water, or Rain from a houfe fide are round upon this account. This fecond way,may be thought upon alfo. Make t\\tlcade»- foot-flool that finks the Ark, not of one piece,but of many, that fo, when the Air within it, begins to be contrafted by degrees, in going down, a proportionable weight may be fubtra&ed, for keeping a iuft counterpoife, all the while of the defcent. Or becaufe the greateft trouble is in bringing of it up, let the Diver, when once he is at the bottom, fabtraft fo much weight from the foot-ftool, as he thinks will go near to make a counterpoife, at that deepnefs. For example, if the weight of the foot-ftool be 40 pound heavier than the Ark, then let him fabtradt 30 or 36, which may ly, and reft upon the ground, till it be drawen up, at a convenient time, by a chord. By his means it will be eafie to move the Ark y from one place to another. Next, there {hall be little or no difficulty to pull it up. Nay, upon fuppofition, the rope were broken, by which it was let down, yet if the Diver pleafe, he may come up without any mans help. And this is moft eafily done, namely by fubtra&ing as much weight,as will make the Ark the ftronger party* ’Tis to be obferved, that -wtat i66 comment* when you are at the bottom, and if you make the Lend but one pound lighter than the Ark^ it will furely come up, and cannot flop by the way. Thereafonis, becaufea very fmall weight will turn the Scales,between two bodies, thus weighing in Water. Next, the further the Ark comes up, it becomes the lighter, becaufe the Air within it, expands it felf the more. But leaving this, let us come to explicit the reafon, why the contraction of the Air is not uniform, but rather difform. For if in going down three fathom , three inches be contracted , there will not be other three contracted in going down the fecond three, but lefs: and yet lefs in going down the third three. Two' things then are to be explicated here, Firft, why there • is a contraction. Next, why it is after fuch a manner. As for the firft 5 the contraction is caufed by the Preflure of the Water, which gradually increafeth from the top to the bottom; as is clear from thelaft Experiment: there¬ fore , there being a greater Preffure in a furface fi.x fathom deep, than in a furface three fathom deep, the Air within the Ark , muft be more contracted in palling between the third and fixth, than in palling between the firft and third. When I fay more contracted,the meaning is,that more quantity is contracted to lefs,whereby theBen* ft l of it is more intended ; or that the Air is more bended. As for the fecond, we muft remember from the laft Expe¬ riment, that the caufe of this, is not from the Water, asforfooth the Preflure of it, were according to unequal proportion, but from the Air it felf, whole kind and nature it is, to fuffer comprefllon after fuch a way. ’Tis evident in Vf'ivd-gmis, whofe fecond fpan of Air is com* preft with greater difficulty, than the firft-v and’the third with greare; difficulty, than the fecond. ’Tis- fo with ty oioftiuical ecp tcimcneg. 167 all bodies endowed w'th Benfil: for ay the longer you bend , you find the greater difficulty. As there is a great disadvantage to the man that Dives , from the contra&ion of the Air, to there is a great advantage to him, from this manner and way of contraction $ for if it were uniform, according to the Preflure o{ the Water, then if three fathom compreft three inches, fix fathom ought to com- preffe fix inches, nine fathom nine inches, and fo forward, till by going down, either the whole Air, (hould be com¬ preft to no inches, or eife very little ftiould remain for refpiration. . • The next thing to be taken notice of, is that all the while,during the down going of the Jrk ,there is ftill equa¬ lity of weight,between the Pondusol the Water, and the Potent ia of the Air, for with what degree of weight, the Water prefteth up the Air, with the fame degree of force and power, doeth the Air prefs down the Water. If this were not, it would beimpoffiblefor a man to go down; be- caufe of pain. For when one pai t of a mans body, is Jefs preft than another, there arifechaconfiderable pain, which fomettmes is intolerable, as is evident from the application of Ventofo-gbffes, This equality of weight,is the true rea* fon , why refpiration is fo eafie. Yet ’tis to be obferved, that a man cannot breath fo eafily in the^r'A,under the Wa¬ ter,as above in theAir ; not becaufe there is any inequality, between the weight of the Water, and the force of the Air 5 but only becaufe the quantity of it is little. For when a man fucks in as much Air,as fills his lungs,the quan¬ tity muft be diminifbed: if this be, the Water muft afcend ay proportion,though infenfibly. When a man thruftsouc :he fame Air again, the quantity is increafed 5 if this be, :hen the Water muft fubfide a little; both which cannot be } with- i68 i^Djoftatical experiments, without difficulty 3 feiBg there is a fort of ebbing and flowing both of the Air and of theWater,in every refpiration. But it rather feems ( you fay ) that this difficulty flowes from the ftrcng, extraordinary benfil, that the Air is under. I anfwer, as long as the preffure of a Fluid is uniform,though in a high degree, yet there can be no trouble in refpiration 5 becaufe with what force foever,it is driven in upon the lun°s, with the fame force it is driven out again: therefore,though the Air we live in, were as much again bended as it is, yet (as is probable) we would find no more difficulty in breath¬ ing than now. There is one thing makes breathing eafie un¬ der the Wateryin the Ark,namely this 5 when a man fucks in the Air to his lungs, his breaft and belly goes out, and fo fills the ipace deferted by the Air, that goes in. This makes the ebbing and flowing far lefs. From this equality of weight between the preffure of the Water, and the preffure of the Air, we fee good ground to fay , that though the^/T,were no thicker in the fides, than a thin fawed dale, yet there would be no haz¬ ard o: breaking, I am confident, though it were no ftronger in the fides, than awine-glafs, that’s foon broken 5 yet it might go down 40 fathom without hazard, or danger of burfting, This affords good ground likewife to make windows in the Ark covered with glafs: for if the Preffure be uniform, and equal, its impoflible they can be broken. The Water cannot thruft them inward, becaufe the Pref¬ fure of the Air, is as able to thruft them outward. It’s certain, the more Air be in the Ark, the more eafie is refpiration: therefore its more eafie to breath, when the-Ark is but down 5 fathom, than when it is down 10 or 1). It’s probable a man might live within the Ark, it be. ing 40 inches deep, and 3 6 inches wide, at the deepnefs of ten i-Wotfatirai cjcpcctincnt^. m ten fathom ,near two houres.*, whereas if it were rouhd,and narrow above in form of a Bell, he coaid not continue an hour. It were very eafie to try how long other creatures might live in it,for example dogs, and fuch like,or fowls,as hens,pheafants ordoves.They might eafily be inclofed from coming out-, for though the whole mouth of the Ark were . fhut up, except as much paffage, as would receive a mans fift,yet it will operate,as well that way,as the other. And there,a little door might be made to open,and fhut at pleai- fure.. ’Tis obferved,that by long tarrying under the' Wa¬ ter in the BtH, the Air becomes grofs and mifty , which hinders a man from feing about him, The caufe of this, are vapors that come from the ftomach , lungs and other parts of the body, efpecially from the ftomach, when the ventricle is full of meat. It’s not fit then,that a man abotft to dive , fliould eat too much, or drink too much, efpecially fuch liquors as Sack or Brandy, that beget many fumes and vapors. If a man were neceffitated to tarry apretty while below, frefh Air might be fe'nt down from above, in bottles or bladders,even as much as might fill uptheplace deferted by the contra&ed Air, ’ Tis obferved by feme, that' have been under the Water, that their eares have been fo trou¬ bled , that for a long time, they have found difficulty to hear diftin&ly. Thereafon of this muft be from thegredt Preflure , the tympanum hath fuff ered from the imprifotfed Air of the Bell. The Organ of hearing is foon troubled, efpecially when a man is near to a great£«»,wh6ri it’s fired. And furely,whenamanisbut 34 foot down, the Air with¬ in the Ark,will be of double Benfil .* put the cafe the man go down 68 foot, or 13 or 14 fathom, the Benfil is tri¬ pled : that’s to fay, if the Air above have fivO degrees Of Preffure in it, the Air of the 5 c//, at <58 foot deep, will y hae 170 i^Djoftattcai €£petmietU0* have 15 degrees of Preffure;therefore th e tympanum of the ear that’s but a fmali and thin mmbun , muft be fore diftreffed; that is overbenied, and prefl inward; even as, while a man fets. upon a drum head a great weight, v. g, a Bullet of-Lead or Iron, of 20 or 30 pound, the skin by this, fuffers an extraordinary Preffure, whereby it is in hazard to be rent, ’ Tis probable, if a man ihould go very far down,, the tjmfmm might be in hazard of breaking, or being rent in two pieces, there being a greater Preffuv.e upon the one fide from the Air without, than upon the ocher fide, from the internal Air within, which is thought to be within the There remains another Phsnomtnsn to be explicated ,and it’s this: the further up the Ark comes from the ground of the Water, towards the top,the Water within it, fubfides and fettles down more and more,towards the mouth. The reafoh of it is, becaufe the further up , the Preffure of the Water is the lefs ; and therefore the contracted Air gets liberty to expand, and dilate it felf, and fo thrufts down the Water from P QjoLM. In a word , by-what propor¬ tion the Air is contra&ed in going dowrt, by that fame pro¬ portion it dilates, and opens it felf in coming up. This lets us fee, as there isdifadvantage in going down, from the contraction of the Air, fo there is advantage in com¬ ing up , from the dilatation of it. Some think, that the coldne&.of the Water is thecaufe, why the Air is con¬ tracted in the Ark,, fuch are thofe, who deny the Preffure of it. But this fancy is eafily refuted •, . becaufe in affert- ing this , they muft maintain, the further down, the cold is the greater. If this be, then far more Air muft be con¬ tracted, in going down from 10 to 15 fathom, than in pafiing from 5toiO; felng as they fay ? the further down, $p&pftattcalCjcpertomit& 171 the cold is the greater • and therefore the contraction of the Air muft be the greater ; that’s to fay, there muft be more quantity of Air concra&ed in the one fpace, than in theother. But.foitis, that the further down, the con¬ traction is thelefs. They judge likewife the coldnefs of the Water to bethecaufe, why the fides of empty Vef- felsare broken in going down. But if this be, then a ftrong Veflel fhould go no further down than a weak Vef- fel 5 feing cold can pierce thorow the fides of the one, as well as thorow the Tides of the other. And why is it, that a bladder full of wind will go down 40 or 50 fathom with¬ out burfting, yea 100, and yet a hone-bottle or glafs- bottle, cannot go beyond 20 or 30 ? If cold have in it, that power to break the fides of a ftrong bottle, it muft be far more able tobuift the fides of a thin Bladder, This dif¬ ference is clearly explicated from the Prefiure of the Wa¬ tercut I defy any man to fhew the difference from the cold¬ nefs of it. ’ Tis to be obferved, that in all fuch Experi¬ ments of finking of Veffels, as Hogf-beads , Barrels , and Bottles , they muft be clofs on all fides. T herefore,ifa man defire to know, how far down a Glafs-bottle is able to go without burfting, he muft flop the mouth of it exactly, with a piece of wood, and cement. In fetting down the dimenfions of the Ark , I have re- ftri&ed them to 40 inches high, and 3 6 inches wide. But if any man be defirous to enlarge them, or make them lefs, he may doit. Only Tis to be obferved, that the larger the Ark be, the Foot-(tool that finks it, muft be the heavier. Yet it hath this advantage,that itcontains much Air, which is the great perfection of it. One of a letter fize hath this advantage, that it’s more tradable, and eafi- er to let down, and to be pull’d up. But thefe things are Yi beft i7* experiments* beft known from Experience, or if a man pleafe, he may calculate. As the Ark is a moft afeful device for profit, fo ’tis excel¬ lent for pleafure, and recreation, if a man were difpofed to fee the ground and channels of deep Waters, or were in¬ clined to find out ffydroflatical condufions, a knowledge very profitabie^nd which few have attained to. Though itfeem fomewhat difficult to enter the Ark, and go down below the Water, yet a little ufe will expell all fear. Then, a man may go down with Iefs hazard, and fear in the Ark , then in the Beil , becaufe he may conveniently fatten his hands, to each fide of the Aik, if need were. He may conveniently fit, as in a Chair,all the time of down going, and up-coming, by fixing a little feat in it: he may have windows to look out at: his body may be fo fixed, that there needs be no fear of falling out. If a man were defirous to make Hydrofiatical condufions, by Diving under the Water, the dimenfions of the Ark might be enlarged , fo that it might conveniently cover a mans whole body, by which means, having much Air in it, a Diver might continue under Water half a day, if need were, Letusfuppofe then, the hightof it to be 8 foot, and the breadth 3 foot, or more. In fuch a cafe, a man might continue under the Water many hours• and yet not one part of his body wet; for if the Ark be 8 foot high, and the man 5 foot in ftature, at the deepnefs of 10 fathom, the Water can fcarce rife 3 foot in it. But why may not a man come up every half hour, when he finds difficulty to tarry down in a little Ark ? I anfwer,he may • but it’s trouble and pains to pull him up,and let him down fo frequently. And it may fo happen, that through want of Air in a fipall ^Ark, he be necefficated to come up before $jcperftnent& 173 before he end his work. And leaving the work imper¬ fect, he may find difficulty in the fecond down going, to find fometimes the pl&e where he was,or the thing he was about to lift, v. a cheftof Gold, If it be faid, thac. agreat weight of Stone or Lead is required to fink an Ark 8 foot high, which will amount to 4032. pound weight. I anfwer, ’tis fo indeed: but here is theadvan" tage 5 when it is once below cheSurface, there’s little more trouble^then with an Ai k of leffier dimenfions * becaufe of the tquifondtum that’s between it, and the weight, that finks it. In fuch a Veffel many trials might be made. As firft, that of the Torricellia^Expermext, which is nothing elfe, butaGlafs-Tubfo many inches long, with a Mercurial Cylinder in it of 2 9 inches high, that’s fuppofed tube keptupatthathightby the Preffure of the Air. If this were taken down about 34 foot, ’tis very probable the Mercury would rife other 2 9 inches. The reafon is, be¬ caufe the Air within the Ark, that preffeth upon the Sur¬ face of the ftagnant Mercury, muft be under as much prtf- fure again, as the Air above 5 but the Air above, is able to fupport 29 '■> therefore this Airmuftfuftain 58. The reafon why the Bcnfil is exa&Iy doubled is this, 34 foot of Water hath exadfly as much Preffure in it, as the whole element of Air 5 therefore, the Air within the Ark, being 34 foot down, muft not only have in it the Preffure of the Air above, but the Preffure of the Water likewife: this neceffarily follows, becaufe when two Fluids touch, or are contiguous toother, the one cannot be under five degrees of Preffure, unlefs the other be under as many.' According to this reafoning, if the Ark go down 58 foot, the Mercury will rife from 5 8 to 87, If to 102 ; it rifes 116, 174 j^njoftattcai comments* 11 6, This reckoning is founded upon this, namely that Water is 14 times lighter than Mercury 5 and therefore one inch of Mercury requires 14 of Water to fupportit in a Tub* and therefore, before Water is able to raife2p inches of it, the Pipe muft be 34 foot deep. • For a fecond trial, blow a Bladder as full of wind as it can hold, and having knit the neck about w th aPack- threed, place it in the Ark ^ and youwili find the fides, that hath been ftifly bended become flaccid and feeble, as if the one half of the Wind had gone out, and this will come to pafs, before the Ark can go down eight or nine fathom. The ftrong benfii of. the Air within the Aik is the caufe of this : for as the Ark goes down, the Air grows ftronger, and fo at length becomes of that power and force, that it eafily overcomes the force and Benfii of the Air of the Bladder, and reducing it to lefs room, caufes the fidesbecome flagging. In this cafe, the faid Air, that was oval, and had the form of the Bladder, muft become round in form of aGlobe, becaufeoftheunifoim Prefture, that it fuffers from the Air of the Ark. When once the Ark is down 14 or 15 fathom, take the fame bladder, and blow itftiffwith Wind, and knit the neck as afore. And you will find that in the up-coming, the frees of it will Surft afundef with a noife. When the Bladder is thus full of Wind, ’tis fuppofed, that there is a fort of counterpoife between it, and the Air of the Ark . But as the Ark afeends, the Airofit, becomes weaker and weaker, while in the mean time, the Air of the Blad¬ der fuffers no relaxation; therefore, when the Ark comes near the furface, there arifes a great difproportion between the one Air and the other, as to ftrength, and therefore the Air of the Bladder being theftrongeft, rents the fides . !^D?o8at(cal experiments* ' ijj in pieces, and comes out with'a noife.' Or, blow it but half full of wind, and you will find before, the Ark come near to the top, the fiaid Bladder to be bended to the full. For a third trial, take a Glafs, fuch as they ufein Caves, for preferving of Brandy, and flopping the mouth clofely, take it down with yon in the Ark ; and you will fee, the fides of it break in pieces, before you go down' fouror five fathom. The ftrong Benfil of the ambient Air, is the caufe of this. If you take it down with the orifice open, no hurt fhallbefal it.. Or if you flop the orifice in the up-coming, you will find the fame hurt come to it. But here is the difference, inthefirft burft- ing, the fides are preft inward, by the ambient Air ; in the fecond, thefides are preft outward, by the Air with-- intheGlafs,. For a fourth trial, take a round Glafs-bottle, pretty' ftronginthe fides, and when it is down with you in the Ark 14 or 15 fathom, flop the mouth of it exactly, and when it comes above, you will find a confiderable quan¬ tity of Wind come out of it, when the orifice is opened. Tnis evidently demonftrats , that the Air within the Ark, 12,13, or 14 fathom down, is under a far ftronger- Benfil then the Air above. For a fifth trial, let a man apply to his skin a cold Cupping-Glafs , when he enters the Ark; and he will find fuch a fwelling arife within it, as when it is applied hot by a Chyrurgion. This tumor begins to rife*; affoon as the Ark- begins to go down. The reafon is evident from unequal Preffure, the parts within the Glafs being*,. lefs preft, than the parts without. For a fixch trial, take a common Wt«ther*Gl*ft >' and* place - 176 ^DjoftaticaieKpetfinews* Place it ia the Ark , and in the going down, you wiilfee the liquor creep up in it, by degrees, as the Ark goes down, as if fomeextraordinary cold , were the caufe of it. And as the Ark comes up by degrees, the faid liquor creeps down by degrees. The caufe of this Phe¬ nomenon is not cold, as fome might judge, but the ftrong Benftl of the Air within the Ark, that fo prefTeth upon the furface of the ftagnant Water, that it drives it uo. If you take with you , a Weather-Glafs t hermetically fealled, no fuch thing will follow ; becaufe the outward Preflare is keeped off. ’Tis not then cold, that’s the caufe, but weight. By the way take notice , that all Common Wuther-Glafes are fallacious and deceitful 5 becaufe the motion of the Water in them, is not only caufed by heat, bur by the weight of the Air, which fometimes is more, and fometimes lefs , as frequently! have obferved, and as hath been obferved by others. T his difference is found,by the alteration of the altitude of the Mercurial cylinder, in the Barofcope, which is more and lefs, as the Prcffure of the Air changeth. In fair weather, and before it comes, the Mercury creeps up. In foul and rainy weather, and a pretty while, before it fall out, it creeps down, Becaufe in fair weather, the weight of the Air is more, than in rainy and dirty weather. Decern - her, 13. 1669. Ifoundthe altitude 29 inches, andnine ten parts of an inch: at this time the heavens were cover¬ ed with dry and thick clouds, and no rain followed. March 26,1670, Ifound the altitude no morethan 27 inches, and nine ten parts, at which time, there was a ftrong Wind with ram. Between thefe two termes of altitude, I have found the Mercury move.near a twelve moneth, "Tis a moft fure prognofticator, for if after %t >Diottattcal Cypn iments, 177 rain, you find the Mercury creep up in the mottling, yoR may be fore, all the day following will be fair, notwith¬ standing that the heavens threateneth otherwayes, If after fair weathsr,. the Mercury fubfide, and fall down a little, you may before of rain within a foort time, though no appearance be, in the prefent. It falls down likewife, when winds do blow. What the true caufo is, why there is fuch an alteration in the PrefTure of the Air, before foul weather, and fair, and in the time of it, it is not eafie to determine. But we proceed. Trial likewife might be made, by firing a great piece of Ordnance above, whether the re¬ port would be heard btlow the Water or not? This would determine the queftion, whether Water be a fit medium for conveying found as Air is. ' Item, whether or not, the Sea water be fre/her at the bottom, than near the top, which is affirmed by fome. Item, whether founds be as diftinft in fuch a fmall portion of Air, as they are above. This might be tried with a Eell of a Watch. If need were, a little chamber Bell might be hung within the 'Ar^ and a fmall chord might pafs up from it, through the cover, whereby the perfons above, might by fo many tingles, fpeak fuch and fuch words to the Diver, I have demonftrated before, that though there were a little nar¬ row hole made in the cover above, yet neither Air would go out, nor Water come in. If a man were curious, he might have a window not only in the Tides, but in the roof above, covered with a piece of pure thin Glals, thorow which he might look up, after he is down two or three fa¬ thom, and fee whether there appeared any alteration in the dimensions of the body of Sun or not, or feemed nearer. VVfl Z 17s c^sioSatfeal e^pcrtmcitfsh Wen come to infer tome Hfdroftatical conclufions, _ - orme: Experiments, V» T e fee then firft, that in Were: ; ^e~eis :p:eliu:e 5 name! yrrom theftronq Benpl 0-'the ‘ fir within the Ark, that sroweth ftronuer. and ft. oncer . 1; the Water sroweth a eeper. and deeper. We i~r r =v - . that the neffure 0: the : VViter hath an incre- rr.en:: 1 :e;:ufe the further down the Ark goetn, the Air is them trebenteu. Thrrdiv, tt vo Fluids cannot becon- we to another. inlets bo th or them be under the We de. „ - lure: became the Air of the A-k, and lepethup w;t: tin the mouth of it, are newer:: rr-e- the feme ceur ee cf power, and force, rA---— "-efsbe. Feu: thlVj that in Fluids the - „ _ , Tww-n * bwCZUit tF.S Air of the Ark , and the W. . fttbeut- crefs moft equal: :v. one asainft the other. r.f-m-.-, the more that the Air h s bended, it is the more r ■■■-■-■,• - r.o onfeqi lently, that the diminu- t.cn 0: the cuma.ty, :s iccorckn ig to unequal proportion. s. that when. toe Ark At own 34 foot, the Benfil c: the’ Air is doubled : end trip led, when its dotvn 6& ectute the nreiture of 34 . foot of Water, is as r.^:h a s the whole prefture, tha fs from the Atmfphere. lift be encuirec. how much we ightrefts upon the palm ct anna ns time, vweathe Ark: s down about 68 foot? I imiwe: the preiTure of the W 'aterupon a mans hand, ceepnef; with thepreftur ■e of the Air above, will beer:: 1 client to the weight of 1 p: illar of Mercury 87 inches hfthf, a ■hich wIII exceed in real weftr: too pound. It fomuch reft upon the palm, how r-:c L “• tuft reft uoon the reft oi the parts of the body ? Let us ■'uppoie then, the quantity 7 of the palm, to be found :a a m: ns skin, a00 times, the. n mufthe iuffer as much Prefiiire, i^DjQftattcai 179 prelfure, and a&ually fupport as much burden, as will amount to 40000 pound weight. Seventhly, our bodies may be under a huge prelfure, and yet that burden not perceptible ; as is evident from the Diver, who findeth little or no weight, while he is under the Water. Or if there be any Prelfure found, it’s not comparable to that, which really is.. Eighthly, when a man is 14 or 15 fathom down, at every infpiration and expiration, his breaft and belly mull lift up the weight of 1800 pound: becaufe, if the whole burden be 40000, the weight that refts upon the breaft, and belly, will be about 1800, Ninthly, that between every infpiration, and expiration, there happens a perfect counterpoife, namely by the Air, that goeth in¬ to the lungs, and the outward Air of the <^trk: for if the Prelfure of the one, were more, than the Prelfure of the other, there could be no motion of the lungs. Tenthly, when a man draweth his breath, the Air cometh not in by futtion , but by pulfion. For this caufe,. though the Wind-pipe were flopped, yet a man might live by having a hole in his fide, going into the lungs. Laftly, that there is no fuch thing as futlion properly $ and therefore the motion of all Fluid bodies, is caufed by Prelfure and weight. The motion of the blood then thorow the heart, is driven, and not fueled. Infants properly do not fuck, but have the milk fqueezed into their mouth. ’ T is evi¬ dent from the fucking-glafs that fome women ufe for milk¬ ing their own breafts: for by help of this, the Air that guardeth the head of the Pap is removed, and fo the Air, that preffeth the parts about,and without,fqueezes out the milk. iSo $p0!0(latlcal erperimcnts. EXPERIMENT XIX, Figure 26, T His Figure reprefents a deep Water, whofe firft and vifible furface, is F G. The imaginary Mace, is E L C, 34 foot below it. A D B is a siphon, working below this Water with Mercury. A E L isa VeiTel with ftagnant Mercury, among which the orifice A is drowned, the other orifice B exifling among the Water, DM is the hight of the Siphon above the line of level, which I iuppofeis 58 inches. For making it work, flop the two orifices ciofely, and pour in as much Mercury at a hole •made at D, as will fill both the legs. Then flopping the (aid hole, open the two orifices A and B, and you will find the liquor run as long out at B,as there is any almoft in the veflel A E L. For evincing this, which is the only dif¬ ficulty, confider, that if this Siphon, \vere filled with Water, and made to work only with Air, (as is clear from daily experience ) the liquor would run outconftantly at B, Becaufe there is here an unequal Preflure •, the furface of Air N B, being more burdened, than the furface E L C, but where unequal Preflure is in Fluids (according to the 12th Theorem) motion muft follow, I prove the fur¬ face N B to be more burdened, than the furface E L C, becaufe the Water B D, is heavier than the Water L D, as is evident to the eye. The Air B therefore, fuftaining far more weight, than the Air E L3 muft cede and yeeld. Next, there is here a pondt'.s and apitentia, the pontlus is the Water L D ; the potentU by which it is counterpois¬ ed, is tfie Water B D 5 but thefe are unequal, B D being heavier. if pojoftatfcal extents* 1S1 heavier, than L D - therefore according to the 3 3 Theo¬ rem, thefetwo Fluids cannot ceafe from motion. If it be faid, that the furface N B is Wronger; than the furface ELC, feingit is lower. lanfwer, the difference is fo unfenfible, that they may be judged but one. Now, I fay, if this Siphon work in Air, with Water, it muft likewife, work in Water with Mercury. Therefore, this Siphon being 54 foot below the firft furface F G, the liquor muft run outconftanrlyatB.’ Becaufe, there is here, an unequal Preffure, the furface of Water N ’B, be ng more burdened, than the furface ELG. Though there be more weight in N B, than in E L C, becaufe it is lower, yet becaufe the difference is not fomuch, as is between the weight of B D, and the weight of t D, it proves nothing; Notehere, that fo long as D, iswithin 5; 8 inches of E L C, this Siphon will work. The reafon is, becaufe the Preffureol 34 foot of Water, with the Preffure of the Air, upon F G, are able to raife Mercury exadfly 5 8 inches. But if D exceed that hight, no Ait will make the liquor run out at B.' Note fecondly, that this Siphon will ope¬ rate with Air and Water , though the top D were 34 foot above Ms and the reafon is, becaufe the Preffure of the Air, is able toraife a pillar of Water to that hight. Note thirdly, that if there were an orifice opened at Cj upon the level line ELC, the two Waters would become of the fame weight, the one not being able to move the other. If you bore a hole at Ri the liquor afccnds from R to D, and’goeth down from D to A, and (o the motion ends. But, if the leg AD Were fix! times wider, than B D, the liquor would not run out at B, I ihall anfwer this in the clofe. From 4his EKperiment we fee firft, that the motion of Fluid- i8z ijptifoGaticai experiments. Fluid Bodies up thorow Pumps, and siphm is not for fhuning vacuity, but becaufe they are preft up violently. We fee next, that when the PrefTure is uniform , there is no motion in Fluids 5 but afloon, as one partis more preftj than another, motion begins •• becaufe, this Siphon will not operate,if the orifice be made in C 5 but if fo be,it be in D, then the motion begins ; becaufe there is here an unequal PrefTure, which was notin the other. We fee thirdly , that Fluids have a determinate Sphere of atfivity, to which they are able to prefs, and no further: becaufe this Water, is not able to prefs Mercury higher than 5 8 inches. So the Air cannot raife Water higher than 34 foot. If this Water were 6 8 foot deep, the Sphere of it’s activity would be 116 inches. We fee fourthly, that inF'uids there is a Pondus and a Potential and that the inequality of weight between the two, is the only caufe of motion. We fee fifthly, that as long as this inequality of weight continues, as long continues the motion, becaufe , as long as B D. is heavier than L D, the motion perfeveres. We feefixthly, the poffibility of a perpetu.il motion in Fluids; becaufe the liquor runs perpetually out at B, If it be faid, the motion ends when the ftagnant Mercury A E L faileth. I anfwer’ this flop is only accidental, and not ellentially from the nature of Fluids. If it be enquired, whether or not,would the Mercury run out at B, upon fuppofition, the flunk LDwere twice as wide, as the fhank B Dr Ianfwer it would. If it be faid that the one is far heavier than th§ other, namely L D than DB. I anfwer, weight in Fluids is not counted according to thicknefs, but ac¬ cording to altitude. EX PE- ^pDjoftaftcai $£pecftmnt£u 183 EXPERIMENT IX Figure 27. '■'TpHis laft is for demonftrating the precife and juft JL weight of any Pillar of Air, Water, Mercury, or of any other Fluid body , if fome of their dimenfions, be but once knowen, A B then is a fquare Pipe 12 foot high, and fix inches in widenefs, full of Water, refting upon the furface of Air AC, And E G is a fquare Pipe 12 foot high, and 12 inches wide, full of Water, refting upon the furface of Air E F, None needs to doubt, but the two Waters, will be fufpended after this manner, even though the orifices A and E were downward, efpeci- ally if they be guarded with Water, but thedemonftra- tions, will be the more evident, that wee fuppofe the two Pillars of Water to be fufpended as they are. From this Experiment I fay firft, that the Pillar of Air C D is 168 pound weight, at leaft 5 which I prove thus. The Water A B is 168 pound: therefore the Air C D, muft be as much. I prove the Antecedent , becaufe it’s a Pillar . of V Vater 12 foot high, and fix inches thick: but every half cubical foot of Water, that conraines 2 r <5 inches, weighs feven pound: therefore feing the Pillar is 12 foot, it muft contain 24 half feet ? but 24 times 7 is 168. The only difficulty is to prove the Connexion , which I do thus, from the feventh Theor, all the farts of a Fluid in the fame Horizontal line , are equally frefl, but fo it is, that the part A, and the part C, are in the fame horizontal fur¬ face ^ therefore the part A, and the part C, are equally preft. But if the parr A, and the part C, be equally preft, the Pillar of Air C D, muft be as heavy, as the Pillar is 4 Wioftatical Cicpertments* Pillar of Water A B. I fay fecondly, that the Pillar of Air F H, weighs 672 pound, I prove it thus, The Water E G weighs 67a pound 5 therefore the Air F H, weighs as much. The Antecedent is clear, becaufeEG, is z fquare Pillar of Water 12 foot high, and 12 inches thick ; but every cubical foot of Water weighs 5 6 pound .■ but 12 times 56, is 572. I prove th 2 connexion, as before. All the parts of an horizontal furlace, are equally preft 5 therefore the part F, muft fuftainas much burden, as the part E. To proceed a little further, let us fuppofe the Pipe AB to be 34 foot high, and the Pipe E G to be as much, Iaffertthen thirdly, the Pillar of Air C D to weigh 475 pound , which I prove as before. All the parts of the fame furface , are burdened with the like weight, but the part A fuftains 47 6 pound, therefore the partC muft fupport as much. The Connexion is evident, and the Antecedent isfo too, becaufe the Water A B being 34 foot high, and fix inches thick, muft weigh 475'pound: for, if 216 inches , w r eigh feven pound, 14688 inches, muft weigh 476pound. I aftert fourth¬ ly, the Pillar of Air F H to weigh 15104 pound, which Idemonftrat by the former Medium. All the parts of a Fluid that ly in the fame horizontal furface, are equally preft ; but fo it is, that E and F , do fo ly ; therefore F muft be as muchburdened as E$ the Water therefore E G, weighing 1504 pound , the Air F H, muft weigh as much. For if 216 inches of Water weigh feven pound, )87)2:nches (for fo many are in the Water E G) muft weigh 1904 pound. Let us fuppofe fecondly, the Tub A Bto be only 29 inches high, and the Tub E G, of the fame hight, and that i^mofta tical ffy pcrimentg, jgy that fix inches wide, and this 1 1 inches wide, I affirm then fifthly, the Air C D to weigh yet 476 pound, and the Air-FH, to weigh 1^04 pound. Becaufe the.Pillar of Mercury A B , weighs 476 pound , and the Pillar of Mercury F G, weighs 1^04 pound: therefore, if A B be 476, C D muft be as much. And if E G be 1504 ; F H, muft be of thefame weight. .1 prove the Mercury ABto weigh about 476 pound, though it be but 29 inches high j becaufe it is 14-times heavier then Water. For the fame caufe,, doth the Mercury E G weigh about 1504 pound. Ilay^fl##., becaufe 34foot, containes2? inches, more than 14 times. Let it be fuppofed thirdly, the Pipe E G, ( being 34 foot high ,) to have the one half of ft IG, full of Air, and the other half E K full of V-Vater, I affirm then fixthly, the part E, and the part E, to be yet equally burdened. That’s to fay, the VVater E K, that’s now but 17 Foot, makes as great a PrefTure upon E, as when it was 34 foot. The reafon of this, is furely .the PrefTure of the Air IG, that bears down the Water K E, with the weight of 9 j.z pound, the half of 1^04 pound. If it be faid according to the Theorem 21, that there is as much.PrefTure and weight in the leaft part of a Fluid, as in the whole 5 there¬ fore the AirlG, muft be as heavy as E H, Ianfwer IG, is not fo heavy as E H, becaufe the Water EK impending in the lower part of the Tub, hath occafioned the Air IG, to expand it felf fo many inches, by which means, it lofeth fo many degrees of it’s Benfil, ■ If you remove the Water EK, then will the Air IG, be as heavy, as E H3 becaufe E K being Air, it reduceth IG to that fame degree of Benfil with it felf * but when the Ail' E is burdened with the Water E K , it can- A a not 186 lipDiottaticaic.tpctlmenc?. not make the Air IG, of that fame weight with it felf. Let us fuppofe fourthly, that only eight foot and an half of Water, are in the Tub, namely between E and N. I fay then feventhly, that the part E, is as much bur¬ dened with it, as when the Pipe was full * becau'fe the foot, and an half of Air N G, is ex idly as heavy, as the 2) foot and an half of the Water that’s gone. I prove it thus. The Air E hath the weight of 1904. pound in it felf, feing the weight of the furface , is alwayes equal to the weight of the Pillar, but being burdened with the VVaterEN, that weighs 476 pound, it can* not prefsupwith more weight then with 1428 pound.* and therefore the top of the Water N , mull prefs upon the under part of the Air, that’s contiguous with it, with 1428. If this be, the Air N G, muff-prefs down with as much, feing according to the 20 Theorem , it is im» poffible, that one part of a Fluid , can be under Preflure, unlels the next adjacent part, be under the fame degree of Preflure. Therefore I conclude, that the 25 foot and an half of Air NG, is as heavy , as the 2 > foot and an half of the Water that’s gone, This makes it evident alfo, that when the Pipe is half full of Water, asEK, the Air IG, hath the weight of 95 2 pound. Becauie E being in it felf 1904, but being burdened with E K 952, it cannot make the top of the Water K , prefs upon I with more weight than 952; and therefore ( by the 20 Theorem,) the Air G I, muft weigh 952 likewife. I affirm eighthly, that, when the Pipe is full ofWaterf from E toG, if a man poife it in his hand, he doth not find the weight of the Water E G. And the reafon is, becaufe it’s fuftained by the part of the furface E. But lithe Air E fuftain it, my hand cannot Main if. I find then $!>D>oflat(f.al cjcpetimcnts. 1S7 then only the weight of the Tub, but not the weight of the Water within it. I fay ninthly, that when I poife the faid Tub, I find the whole weight of the Pillar of Air L M, which is exactly 1904 pound, I prove it thus. The pondus of a Fluid is then only found, when there is not a fotcntU to counterpoife it, oracleaft, when the po- tentia is inferior to the pondus: but there is here no foten - tid, counterpoifing the pondus of the Air L M. There- fore, I muft find the weight of it, when I lift up the Tub. The major proportion is clear from the tenth Theorem. It’s evidenc alfo, from common experience; for while a bal¬ ance is hanging upon a nail, with fix pound in the One fcrle, and nothing in the other, you will find the. whole burden, if you prefs up that one fcalewich the palm of your hand.. But if fo be, there were fix pound in the op* pofite fcale, you will nor. find the firft fix •, and the reafon is, becaufe it is in equilibria with other fix. ’Tis juft fb here, I muft find the weight of the Air L M, while I poife the Tub, becaufe it wants a weight to couflterbal- lance it. I prove the minor proportion thus. If any thing counterballance the Air L M, it muft either benhe Air below, namely the part E; or the Water EG: btit'nei¬ ther of the twain can do it. Not the Air E, becaufe it hath as great a burden upon it, as it is able to fupport, namely the Water.E G, that weighs 1904 pound. And for thisciufe, not the Water irfelf,- feing. alt the'force it can have to counterballance L Mi is ffom the furface of Air E •, but this is in equilibria with it already, I faid that the Air L M, was exa&ly JP04 pound weight. This alfo is evidervt, becaufe it is juft of theft? fa’tfiedimerifions, with the Air F H. If it be faid-the 1 Air ENPitJuft be thick¬ er; feing it’s equal to the Tub without 5' but the Air A a 2 ^ PH. i8s $p.D*Qftaucat experiments. F H, is only equal to the Tub within. I anfwer, it is fo in¬ deed ^ but here is a folution to the difficulty. I do not find the whole weight o{ the Air L M, but only as much of it, as is equal to F H. Suppofe the Tub to be 12 inches within, from fide to fide, and 1 6 without, from fide to fide. I fay then, I find only the burden of fo much Air, as answers to the cavity of the Tub,becaufe the reft of thefe inches, are ccunterpoifed, by as much below, namely by the Air,that environs theoiifice E: for it’s fuppoled, that it the Tub be two inches thick above, it muft be as thick in the lips. So that the whole Tub, is not unequally prefix, but only fo much ol it within upon the top, asanfwers to the cavity. Tenthly, that when the Pipe is but-half full of Water, namely from E to K> I find only 952 pound of the Air L M, .though before I found 1904. The rea* fonis, becauCe the one half of it is now counterpoifed by the Air IG, and therefore the weight of it becomes infen- fible,. ’Tis dear from the fixth affiertion, that the Air IG, preffeth down with 95 2 ; therefore it muft prefs up with as much, feing according to the fixth Theorem, .the Preffure of a Fluid is on every fide. Eleventhly, that when there is only eight foot of Water and a half in the Tub, namely between E and N, I find only 476 pound of the Air L KG Becaufe in this cafe, the Air N G counter- poifeth 1428 pound of it. For if the (aid Air, burden the Water N E, with 1428 pound,as is clear from the feventh affertion, it muft likewife prefs up the Tub with as much, and fo counterpoife as much of the Air L M. Twelfthly, that when there is nothing within the Pipe but Air, the whole weight of the Air L M becomes infenfible to me. The reafon is evident, becaufe it is wholly counterpoifed by the Air within the Pipe, I affirm thirteenthly, that the ^ytyoftattcai experiments 18* theVVater EG, is \w equilibria with the Water A E that’s to fay impound, is in equilibria with 475 pound. I prove it-evidently* by the firft medium % all the parts of' an Horizontal fuiiace, are equally preff; therefore the part A, fuftains nomoreburden, then the part E, there¬ fore A B, is as heavy as E G, -and confequently, the Air CD, nauO.be as heavy, as the Air FH. Left this pro- pcfition may ieem to contradict what is already faid ,1 muft' diftinguifha twofold laIlance,according to the third Theo¬ rem, one Natural^ another Artifcid, In the Artificial Ballance, where magnitudes do weigh according to all their dimenfions, viz. Longitude , Latitude, and Profundity, the Water A B, and the Water E G, ar e not in equilibria to- gether,feing the one is 1428 pound heavier than the other. But in the Balance of Nature , fuch as thefe Pipes are, all the {our makes an equifondium together becaufe they do not weigh here, according to their thicknefs , but only ac¬ cording to their altitude. Therefore leing A B is as high as E G, and feing CD is as high as F H, they-muft all be. of the fame weight.- From the firft aftertion I infer, that one and the fame Fluid, even in the Ballance of Nature , may fometimes be in equilibria with a left’er weight, and fometimes with a greater, becaufe the Air C D, that weighs really 476- pound, is in equilibria with the Water A B, that weighs but 168. This is, when A B is fuppofed to be only 12 foot high. It’s likewife in eqnilibriomth it, when its 34 foot high. But how can A B, that’s 12 foot high, prefs' A, with as much weight, as when its 34 foot high ? I an- fwetbya fimilitude, when a Cylinder of Wood 12 foot high ftands upon a Table, it may burden it as much,' as if it. were a Cylinder 34 foot high. For, fuppofingit to be- i9o £pDjoftaticai cicpenmetus* thmft in, between it, and v, g. the ceiling of the room above, it muft prefs down with more weight, then if it were not thruft in. So, this Cylinder of Water AB, that’s but 12 foot high, being preft between thefurface A, and the top of the Tnb within, muft burden A, as much, as if it were 34 foot high; for being of this hight, it only ftasds upon the furface, without preffing up the top of the Tub. I infer from the fecond affertion, that each Pillar in a Fluid hath a determinate weight. This is evident from the determinate weight of AB, that weighs firft 168 pound, being 12 foot high, and 467 pound, being 34 foot high, and fo of the reft. I infer fecondly, that the thicker, and groffer a Pillar of a Fluid be, it is the heavier, (even in the Artificial Ballancc ) and contrariwife, the more flender and thinner it be, it is the lighter. This is evident from the Water A B, fix inches thick, that weighs 476 pound, and from the Water E G, 12 inches thick, that weighs 1904 pound. So doth the Pillar of Air C D,weigh lefs, then the Pillar F H, Here is ground for knowing the certain and determinate weight of a Pillar, in any fort of a Fluid w'hatfoever. As to Air, its clear and evident, that a four-fquare Pillar thereof, 12 inches everyway, weighs 1904. That's to fay, if it were poffible, to take theiPiiiarof Air F H, in its whole length, from thefur¬ face of the earthy to the top of the Atmoffhcre , and pour it into the Scale of aBallance, it would be exadtly the weight of 1904 pound. Here isafecret .• though that fameJPillar of Air, were no longer., than 6 or 10 foot, yet theiPreflureofit, upon the body, itreftsupon, is equiva¬ lents. 1904 pound. If this be, (you fay) what is the weight of Air, that refts upon this Table, that’s 3 6 inches fquare £ K^mofta tical Cjc ptEftrontg, 191 fquare i I anfvver, it muft be as heavy, as a Pillar of Wa. ter 34 foot high, and 36 inches thick, which will, by juft reckoning, amount to 17136 pound, or to 1071 ftone weight. It may be inquired next, what’s the weight of the Air, that burdens the pavement of this parlour, that’s 16 foot fquare ? I anfwer 487424 pound. Becaufe it is exadly the weight of a bulk of Water 34 foot high, and 16 foot thick, ’Tis to be remembred, that though the Pi effure of it, be fo much, yet being poured into the fcale of a Bailance, it will not weigh fomuch: for not only as much as fills the room mnft be taken, but as much as pafteth from the pavement to the top of the Atmofphere. According to this method ’tis eafie to deter¬ mine the weight ofany Pillar of Air whatfoever, provided amanbutonceknowthethicknefsofit, both thewayes, e,g, there’s a flmm 12 inches long, and fix inches broad, upon which reftsa Pillar of Air. The weightofit then is, juft the burden of a magnitude of Water 34 footin hight, 12 inches in length, and fix inches in breadth. Though the weight of any Pillar of Air may be known, by knowing only the dimenfions of it, in breadth and length-, yet the weight of a Pillar of Water cannot be known, unlefs all the three common dimenfions of ir, be fivft known. The reafon is this, the Pillais of Air, are all of the fame highr, but the Pillars of Water in the Ocean, are of different hightstherefore, not only muft they be known, [ecundtm longitudintm , & Utitudhem,, in length and breadth, but [ecundum frofunditatem , that is, according todeepnefs, ’Tis eafie to know then, whac each particular Pillar weighs. ' Fhftthen, try how much weight is in a cubical foot of Water, and having found this to be v.g, 56 pound, you may determine, that a Pillar i9i $ptyo&atfcai experiments. Pillar of Water 34 foot high, and 1-2 inches thick,weighs 1904 pound. A Pillar 34 foot high , and fix inches thick weighs 476 pound. Note, that in a Cube of Water fix inches thick, there are 211? inches, which weighs feven pound. In a Pillar 12 inches thick, and 2 0 fathom, or 100 foot high, you will find 5600 pound weight. In one, of the fame thicknefs, but 200 fathom high, there are 56000, fifty fix thoufand pound weight. In a Pillar three foot fquare, and 20 fathom deep, there are ' 0400, fifty thoufand, and four hundred pound weight. Make it 200 fathom high with that thicknefs, and it will weigh 5 04000, five hundred and four thoufand pound. But, if according to the Theorem 25 , you confider. the weight of the Air above , it will weigh 521136, five hundred, twenty and one thoufand, one hundred thirty and fix pound. A Pillar x 2 foot fquare, and 300 fathom deep, weighs 1205)6000, twelve million, ninety and fix thoufand pound, Laftiy fuppofe there were a bulk of Wacer 500 fathom deep, and 5 00 fathom thick, fucha magnitude would weigh 8750000000, eight thoufand feven hundred , and fifty million of pounds. But if the PrefTure of the Air, that refts upon a furface of Water 500 fathom in- breadth and length, be taken in, that weighs 119000000, a hundred and nineteen million of pounds, the total, that the bottom of the lea fhftains,muft be 8940000000, eight thoufand, nine hundred and fourty million of pounds, or 5 5 8750000 five hundred fifty and eight million, feven hundred, and fifty thoufand ft one weight. I infer from the fifth aflertion, that the lighteft of Fluids may be brought to an equilibriun^mth the heavieft. For though Mercury be 14000 times heavier than Air, . " ~^ $pmoftatfcaieKpertment& i 93 yet the part of the furfaceA, is no more preft with the Mercury A B, th^n the part C is preft with the Air C D. Secondly, that 29 inches of Mercury, are of the fame weight with 34 foot of Water. Thirdly, the heavier a Fluid be naturally, it hath the lefs altitude in the Natural Ballance ; and contrariwife, the lighter it be, it hath the more altitude. This is clear from the Mercury, that’s 19 inches, the Water that’s 34 foot, and the Air, that’s counted 6867fathom. I infer from the fixth afTertion, that two Fluids of different gravities , may make an equilibrium with a third of the fame kind. Becaufe the 27 foot of AirIG, and the 17 foot of WaterEK, arein^»//;'^/>with the Air F H. I infer fecondly, that 17 foot of Air, may be as heavy as 17 foot of Water, becaufe the Air’I G, isexa&ly as heavy, as the Water E K. I infer thirdly, that the Benfil of a Fluid, is a thing really diftinft, from the Natural weight of it: becaufe the PrefTure of the Air IG, is 9 j z poHnd 5 but the natural weight of it will not exceed, if it were weighed in a .Ballance, two or three ounces. I infer fourthly, that Air cannot fuffer dilatation, but it muft lofe of it's PrefTure. Becaufe the Air IG, that ought to weigh 1904 pound, weighs only 9 5 2. For under- ftanding this , you muft know , that when a Pipe is about half full of Air, and halffull of Water, and inver¬ ted, fo much of the Water falls out, and confequently fo many inches doth the Air above it, expand it feJf. So to make this Pipe that’s 34 foot high, half full of Air and half full of Water, youmuftpourin about 19foot of Water, and the 15 foot of Air that’s in it befides, will, when the Pipe is inverted, go up and expand it fell to 17 foot, two foot of Water falling our, B b I in. iH $po?ottattca! erpccimctits. ■ I infer from the feventh afTertion , that when there are two Fluids of different gravities, and weights counterpoi- flag a third, by what proportion the one grows lighter, by that fame proportion the other becomes heavier. For, when the VVater E K, that weighs 952 pound, becomes EN, that weighs 47 6, the Air above it, that weighed 9)2, becomesnow 1428pound. I infer from the eighth, that the pndus of a Fluid, can¬ not be counterpoifed, by two diftin«ft pwers. Becaufe the 34 foot of Water E G, cannot be both fuftained, by the part of the furface of Air E, and my hand. I infer from the ninth, that the Preffure and weight of a Fluid, may be found, even in its own Element, by fenfe. Becaufe inpoifing of the Tub, I find the weight of the Air LM. I infer fecondly, that the weight of a Fluid is only found is its own Element, when there is not a ptentia to counter^ poife the pndus of it, becaufe I find only the weight of the Air L M, becaufe it wants a ptentia to counterpoife it. I infer thirdly, that it is very poffible even in the Ar¬ tificial B.:/lance > to weigh a Fluid in its own Element, and to know the precife weight of it, to a grain. For this caufe, take a fmall chord, and fatten therewith the top of the Pipe G, to the Scale of a Ballance, and the Lead or Stone that makes the counterpoife in the oppofite tole, is the juft weight of the Air L M. I infer from the tenth, that by how much the nearer, the ptentia of a Fluid, comes to the pond vs, by fo much thelefs, is the pndus found, or is fenfible. This is clear, becaufe I find lefs of the weight of the Air L M, it being counterpoifed with the Air I G, than before. This fol¬ lows Iikewife from the eleventh afTertion, . I infer from the twelfth, that when the pndus of a Fluid, is counterpoifed, ^yfyo ftaHcal ££pertment 0 , 195: by an equal pote»tk h It becomes altogether infenfible. I infer {rom the laft, that two Fluids differing in weight, ac¬ cording to the Libra or Artificial Ballance^ may agree in weight,according to the Natural Ballance, I infer fecondly, that Fluids in the Ballance of Nature^ do not councerpoifr one another according to their thickness, but only accor- ding to their altitude. *> ! To put a clofeto this Experiment, let usfuppofe the Pipe EG to be 6 S foot high, and void of Air, If then the orifice E be drowned among fbgnanc Wa¬ ter, the Liquor of its own accord fas it were) will rife from E to K 34 foot, the other half I G remaining empty. This evidently fhevvs, that the PrefTureofthe Air, hath a Sphere of Atftvity, beyond which it is not able to raife or prefs up a pillar of VVater. 'Tis folly then to think that Water maybe conveyed over high places by thehelpofo Siphons v,g. from the one fide of a Hill over the top, to the other fide. For, if that hight exceed perpendicularly 34 foot, no Art will do it. Yet contra-, riwife, it is poffible to tranfport Water, by Pipes and Si¬ phons, not only 34 foot below the fmrce, but 3400. Nay, if there were a siphon paffing from the furface of the Earth to the Center, and thence rifing to the furface again, it would convey Water from the one place to the other. For ’tis a certain and infallible rule in the Hydro- (Uticks , that Water will rife as high in this place, as the hight of the place is, from whence it comes, even though the windings and turnings of the Lead-Conduits under¬ ground were as a Labyrinth^ and though this place, were not only 1000, but 5000 pace diftant from the other. ’Tis to be obferved, that if the mouth of the Conduit b b 2 here, i96 Qpti;otta ticaietpmmc ntg, here, be exa&ly as high as the other end at the-Foun¬ tain, the Water {lands ftill, And the greater the dif¬ ference be, the Water flows out with the greater force.- By the help offuch Conduits , ’tis eafiero convey Wa¬ ter to a City many miles. Such Pipes are ordinarily- made of Lead.. But for faving expence, they may be^ made of Timber, or Clay well burnt, in an -Oven,-.. AN ACCOMPT OF Mifcellany Observations, Lately made, by the Author of the- foregoing Experiments. observation T \669 y theie was need of a new Sink, on the eafl fide of Tranent^ for winning ot Coals .. But while the Coal-, hemrs were in digging down y and had hk c ° me t^edeepnefs of 13 or 14 fathom* : -j—they were flopped- from-working by. • OX i\\.kxr that flowed out plentifully .from-the fides of the fink, wherein there were a great number of tuners , or .rifts, out of which that ill Air came. To try the natuieand.power of Damps., I took a dog, and faftned him in a bucket, with a fmall roap,. that he might not leap over and when he had gone down 7 01 8 fathom, hepre- ientlyjjegins to howl, and cry pitifully, as if he had been beaten i5>3 gJBtfcelian? ^Dbfectiations* beaten fore with a rod, and a little after, he begins to flag¬ ger and his feet failing him, he falls down, as one overtaken with the Epilepfy, and in going down to the bottom, his eyes turning in his head, they appeared very fhining and dear like two large bright Diamonds. Fearing, that the Damp ihoald have killed him out of hand, he was inftantly pulled up from the bottom, where he had nottarried 15 /*- conds of time, And when the bucket had come to the mouth of the fink, he was pulled out,and laid upon the ground, to get frefh Air, When he had liena while as dead, he begins at laft to gape,and gafp,and makefome refpirations,as if he had been rather expiring,than recovering.Next,he began to Air and move his feet, and after, to'raife him fell upon his knees, his head ftaggering and wavering from fide to fide.. After a minut or two, he was able to ftand upon his feet, but fo weakly, that he was not in capacity to walk or run. Yet at laft,being much refrefhed,he efcaped from us,and ran home,but flowly. In the afternoon, the fame Experiment was repeated, with another dog, whofe cafe was the fame in all things. But after he was perfe&ly recovered, for a further trial, we let him down the fecond time, and fuf- fered him to tarry in the bottom of the fmk ,about the. fpace of three minuts: but when he was pulled up, and taken out, we found nolymptomes of life in him; and fo after half an hour and more, his body began to fvvell, which or¬ dinarily befalls fuch, who are killed after this manner. Af¬ ter this, we fent down in the Bucket, a little Chicken, which, when it came near the Damp, prefently flapped with the wings, and falling down, turned over and over for a pretty while, as if it had been taken with a vertigo , or giddinefs. But by drawing up the Bucket in hafte, and bringing the Bird to the frefh Air, it recovered. In the evening. spfccuanp iDurcrbatbfetPatt ons, of time, the eighth part, orthefixth part, or the fourth partofaninch, according to the length of your Tub, and gooanefs of yourglafles. ’Tis to be obferved, that in adjufting the Pendulum Clock , refpedl muft be had to the table of Equation of dayes , commonly known in Aftronomy. For if this be not, it is impofllble to make it go right, and that becaufe all the natural dayes of the year, are not equal among themfelves; that’s to fay, the time that’s fpent by the Suns motion.frora the Meridian. this day , to the fame Meridian the next day, is not equal, but is more or lefs, than the time fpent betwixc Meridian and Meridian , a third or fourth day after. For inftance, the Sun this day being 11 of $uty y comes foonet to the Meridian by three feconds of time, than he came yefterday, Within 9 or 10 dayes,(fuppofe the zz of fuly) he will be longer in coming to the Meridian by 4 feconds, than upon the 21 _ This difference I grant, in fhort time is notlenfible, yet once in the year, it. will amount to more than half an hour. This inequality of dayes arifes from two caufes. Firft, from the Suns eccentricity whereby he moves {lowlier in one part of the Zodiack, than in another: for in Summer when-he is furtheft from the Earth, he goes {lowlier back in the Ecliptick, than in Winter, when he is. nearer to it. . The.fecond caufe, which is truly the far greater, is this , becaufe in the diurnal motion of the. Sun, equal parts of the Equator, does not anfwer to equal parts of the Zodiack. . Hence it follows, that if the natural dayes be not equal among themfelves, the hours muft be unequal alfo: but this is. not confiderable. By help of fuch a Tub placed in a dark room, it is eafie, when the Sun is under Edipfe, to enumerat diftinft-; iy ^ifceUanp £>&fettoaefong* iq $ ly the digits eclipfed,' Likhvife, if you take out the objed Glafs, and cover a hole in the window board with it, you (hall fee diftindiy upon a whitewall, thefpecies and true reprefentations of all' objefts Without, And by comparing the quantity of theobjeftwithout, with the quantity of it within, youmay'know the diftince of it from the window, though it were many miles. For as the one quantity, is-to the other, fo-is the diftance between the Glafs and the object OH the wall, to the diftance be¬ tween the Glafs and the objedt without.' It may be inquired whether or not, th e retrograde, as well as the diurnal motion - of any of the Planets, may be difcerned, in minuts ■ or fetonds , by the help of a long Telefcope t In anfwer to this, we muft fuppofe the Planets only to have amr0gr^motion,andconfequently to move flowly from Weft to 'Eaft, Sat nr nonce imp years, orjo, to run about the Zodiack •, Jupiter in 12, Mart in 2 years, the Sun in one year, Venus and Mercurf in lefs time, and laftly the Moon-m a moneth. Now I fay, it isimpofllbleby thelongeft Tub, that thegreateft Artift can make, to difcern the motion of the inferior Planets, far lefs the motion of the fup.erior, either in Minuts or in Seconds, and- tharby reafon of the great tardity, and flownefs of the motion; Notwithftanding of this, I am induced to think, that the retrograde motion of the Moon might be difcerned,' at leaft in Minuts, For- evincing of this, let us fuppofe which is true', that the Sun runs from Eaft to Weft half a degree in two Minuts . of time, feing in an hour he runs 15 degrees. . Next, that the Moon goes about the Zodiack in 2 7 dayes and 7 hours, namely from that fame point, to that point again, and confequeritly runs back every day 13 degrees and about 10 206 ifcellanp ^Dbfertoations. io Minuts. By this account, fhe muft retrograde half a degree, and about 2 minuts of a degree every hour. T he Sun then runs half a degree in two Minuts , and the Moon half a degree in 60 Minuts ; therefore the Moon muft be 30 tiraerflower in her retrograde motion, than the Sun is in his diurnal motion. Let us fuppofe next, as I obferved with a Tub 12 foot long, that the image of theS«» runs the eighth part of an inch every fecond, and confe- quentiy, feven inches and an half, in a Minut: then mull the image of the Moon with that fame Telefcope, run the thirtieth part of feven inches and a half in a Minut, feing fhe runs 30 times flowlier; therefore in every Minut of time fhe muft advance the fourth part of an inch, which will be- very fcnfible, Though we grant, that the Moon hath no retrograde motion properly, yet by comparing the diurnal Motion of the Moon, that’s flower, to the diurnal motion of the Sun , that’s fwifter, we fhall really find the thing it felf. Therefore in the time of a Solar Eclipfe , this retrograde motion is confpi- cuous, which by an ordinary 7 elejcope may be difcerned in Minuts. AfToon then as the Eaft fide of the Moon begins to enter upon the Weft fide of the Sun ( the greater the Eclipfe be, it is the better ) obferve, and you will find the one image, which will be black , cover the other by degrees, that’s fplendid, and run in every minut of time, the fourth part of an inch of the Suns diameter, provided alwayes, that the Sun run the eighth part of an inch in a fccctuL OBSER- fMceUanp Werbattons* 207 OBSERVATION I V-' U PonTuefday the 19. of $uly 1670. the following Experiment was made,. In the middle Marches be¬ tween Scotland and .England, there is a long tra& of Hills, that run from Flotvdon, many miles South and Sotlth-weft, amongft the which,, the Mountain cheviot is famous be¬ yond, and confpicuous above all the reft for altitude, from whofe top a man may difcem. with one turning of his eye, the whole Sea-coaft from New- caftle to Berwick ^ much of Northumberland , and very many Leagues into the great German Ocean', the whole c Friers and Teviotdale , from the foot of Tweedy to very near the head ofit: Lauderdale , ! and Lammer-moor , and Pent land-hi I/s above Edinburgh* The North fide of this Mountain is pretty fteep, yeteafie to climb, either with men or horfe,. The top is fpacious,. large and broad, and all covered with a Flotv'mofs , which runs very many miles South,. When a man rides over it, 1 it rifes and falls. ’Tis eafietothiaft a Lance over the head in it. T he fides of this Hill abounds with excellent Weli- fprings, which are the original of feveral Torrents, amongft the which Co Hedge- Water is famous, upon which, not a mile from the foot of this Mountain is white-hall, . The adjacent Hills are for the moft part green, and excellent I for the pafturage of Cattel. Not many years ago, the whole Valleys near the loot of Cheviot ^ were Forrefts a- bounding with Wild-Deer, Upon the higheft part of this Mountain was eredled the ionicellian Experiment for weighing of the Air, where we found the altitude of the Mercurial Cylinder 27 inches and an half, T he Air was dry and clear, and no wind, III lour Valley-Countreys, near to the Sea-Coaft, in fuch Weather, io 8 tgifce Uany £>bfccD attons, Weather, we find the altitude 29 inches and an half. When this difference was found, care was taken to feal up clofly With;£ec-WAx, mixed with Turpentine, the orifice of the Veflel, that contained the ftagnant Mercury, and thorow which the end of the Pipe went down. This being done with as great exadbnefs as could be, it was carried to the foot of the Mountain in a Frame of'Wood, made on purpofe, and there opening the mouth of the Veflel, we found the Mercury to rife an inch and a quarter higher than it was. The reafon of this ftrange Phenomenon muft be this, namely a greater Preflure of the Air at the foot of the Hill, than upon the top: even as there is a greater Preflure of Water in afurface 40 fathom deep, than in a furface 20 fathom deep. 5 Tis not to be doubted, but if the root of the Mountain had been as low as the Sea Coaft, or as the furface of Tweed at .Kelfo , the Mercurial Cylinder would have been higher. This way of obferving, feems to be better than the common : for while the Barcfcope is carri¬ ed up and down the Hill, without flopping the orifice of the Veflel, that contains the ftagnant Mercury, the Cy Under makes fuch reciprocations,by the agitation of a mans body, that fometimes abundance of Air is feen to afcend up thorow the Pipe, which in efteft makes the Cylinder lhorter than it ought to be. But if fo be, the end of the Pipe be immerged among guick-filver , contained in a Glafs with a narrow orifice, fo that it may be flopped com- pleatly, you will find no reciprocations at all. And to make all things the more fure, theGlafs may be filled up either with Mercury , or with Water above the Mercury 5 by which means the Cylinder mihe down-coming, or in the up-going (hall remain immoveable. Befides the. flopping of the orifice of the faid Glafs, you may have a wider Vef- SgifctHani? ©Wetbatfens. 209 fel, that may receive the lame Glafs into it, and it being lull of Water, may fo cover the fealed orifice, that there lhall be no hazard of any Air coming in. Or this Experi¬ ment may be firft tried at the root of the Hill, and having flopped compleatly the mouth of the Veffel, the whole Engine may be carried up to the top, where you will find the Mercury fubfide and fall down fo much; namely alter the faid orifice is opened: for as the flopping of the orifice at the root ol the Hill, is the caufe, why that fame degree of Preffure remains in the ftagnant Liquor ; fo the open¬ ing of ic upon the top of the Hill, is the caufe why it be¬ comes lefs. This Expeiiment lets us fee, that the Preffure of the Air feems to be as the Preffure of the Water, namely the further down the greater; and the further up the lefs .• and therefore, as by coming up to the top of the Water, there is no more Preffure, lo by coming up to the top of the Air, there is no more weighc in it ; which in effed fayes, that the Air hath a determinat bight,as the Water hath. From this Experiment we cannot learn the determinat hight of the Air, becaufe the definit hight of the Mountain is not known. I know there are fome, who think that the Air is indefmitly extended, as if forlooth, the Firmament of fixed Stars were the limits of it, but I fuppofe it is hard to make it out. OBSERVATION V-' J W/^5.1670. I obferved the Sun within 3 mimits of fetting, to have a perfedi oval figure, the two ends ly¬ ing level with the Horizon. His colour was not red as ordinarily, but bright and dear, as if he had been in the D d Mendian ■ ©ifceUanpDbfcmtmt^. Meridian: neither was the Sky red *but clear alfo, And by the help of the Pendulum Clock , I have obferved his body to be longer in fetting than it ought, by eight minuts, and fometimesby ten, and his Diameter longer in going out of fight than it ought, by two, and fometimesby three mi- nuts, The reaion-of thefe Phenomena, muft be the Re- fraci im unqueftionibly. OBSERVATION V I- U pon Saturday evening the 30 of fitly x 670, and the nigh: following, till about two a Clock in the Sab - bath morning, there fell out a confiderable rain, with great thunder, and many lightnings. About thecon- vocation 0: black clouds appeared fir ft towaids the Kori- zm in the South-weft, with leveral lightnings 5 and the wind blowing from that point, carried the clouds and rain over Mid and Lajl-Lothian, towards the Firth and Sea - coaft. About 9 a clock, the whole Heavens almoft were covered with dark clouds, yet the rain was not very great, neither were the//;; rnder claps frequent, but every fifth or (ixth fccond of time, a large and gieat lightning brake out. But before the thunder crack was heard, which happened every fourth or fifth minut^ the lightning was lo terrible for greatnefs, and brightnefs, that it might have bred afto- nhhment. And becaufe the night was very dark , and the lightning very fplendid, a man might have perceived houfes and corn-fields at a great difhnce. And if any had refolved to catch it, in the breaking out, it did fo dazle the eyes, that for half a minut, he was not able to fee any thing about him. - Sometimes the lightning that went before the thunder, brake ^tfcetianp £)bfertoatton& 2fl brake forth from the clouds, like a longfpout of fire, or rather like a long flame raifedhigh, with a Smiths Bd; lows but did not continue long in fight. Such an one above the Firth was feen to fpout downward upon the Sea, Sometimes there appeared from the one end of the cloud to the other, an hiatus, or wide opening, all full of fire, in form of a long furrow, or branch of a River, not ftraighr, but crooked. I fuppofe the breadth of it, in it felf, would have been twenty pace and more, and the length of it five or fix hundred pace: the duration of it, would have been about a fecond of time. Sometimes a man might have per¬ ceived the nether fide of the cloud, before the crack came, all fpeckled with ftreams ot fire, here and there, like the fide of an Hill, where Moor-burn is, which brake forth . into a lightning. But there was one, after which followed a terrible thunder crack, which far exceeded all the reft, for quantity and fplendor, It brake out from the cloud,be¬ ing fhot from North to South, in form of fire from a great Cannon, but in fo great quantity,as if a Gun ten foot wide, with 500 pound weight of Powder in it,had been fired. And fin ely the lightning behoved to be far greater in it felf, fee¬ ing it appeared fo great, at fo great a diftance. It did not evanifhinaninftant, like the fire of a Gun, but continued about a fecond and an half $ by reafon (itfeemsj that it could not break out all at once. This did fo dazle the fight, that for halfaminutalraoft, nothing was feen, but like a white mift flying before the eyes. The whole Countrey about was feen diftinflly. All thefe great lightnings were feen a confiderable time, before the crack was heard. Sometimes 30 [econds num¬ bered by the Pendulum clock interveened , namely when the thunder was at a diftance, about 7 or. 8 miles. Some- Dd a times m SjMceltanp Sbftttiaticms. times 15 or v6 only Interveened. Butwhen the thunder wis juft above our head, no moe patted, than 7 or 8, which Teems to demonftrat, that t-hefe thick black clouds, out of which the thunder breaks-, are not a Scottijh mile from the earth, when they are directly above us. ’Tis obfervable, that in all lightnings, and thundering*, there is no fmoke to be teen, which Teems to evince, that the matter whereof they are generated, muft be moft pure, and fubtil. Who knows, but this Countrey, that abounds with Co.il, may occafion more thunder and lightnings, than other places, namely by fending up fuiphurious exhalati¬ ons to the middle region of the Air, wherewith theWr mints abound. OBSERVATION VII- T His is a method for finding out the true South and North Points, which are inefted very difficult to know. Take therefore four pieces of Timber, each one of them-five foot long, and about fix inches thick, Tquare- wife. Sharpen their ends, and fix them fo in the ground, that they may ftandPerpendicular,and as near to South and North, by a Magnetick Needle, as may be. The place would be free of Trees, or of any Tuch impediment, that ic may have a free profpeft of the Heavens. As for their diftance one from another, let the two North-moft, and the South-moft be two foot afunder: let the two Eaft- moftj and two Weft-moft, be but one foot, making as they ftand, an oblong quadrangle. For keeping them equi- diftant above, as well as below, take four bars of Wood, about three inches broad, and one inch thick,and nail them . round about upon the four fides, on each fide one,. To that fipifccliatip iDOfttfiations. v 3 being nailed on Horizontally they may make right angles, with the tops of the ftandards above. There are then for diftinftions caufe, the North-bar, and the South-bar, thatruns Eaft and Weff, and the Eaft-bar, and the Weft- bar, that runs South and North, There is here no diffi- culty in the (filing it lelf, but only in the fancy to conceive it. Betides thefe four, there muft be other four of the fame form and fafhion, nailed on ! arder down about the middle of the four ftandards. Take next fome lmall Brafs Wyre ftrings,fuch as are uled in Virginals a nd fix one from the middle of the South-bar, that’s upmoft, to the middle of the South-bar juft under it. Fix it fo, that it may be exactly perpendicular, which may be done, with a great weight of Lead. Takea lecond Wyre firing, and hang it plumb from the Weft end of the No; th-bar, and another from the Eaft end of the fame Bar, I mean the Bar that’s neareft to the top. Thefe three firings fo fixed, will go near to make an equilateral triangle . Now becaufe the device is for finding out the Meridian by the Stars in the night time, not by any indifferently, but by thefe that are neareft to the iW<\ therefore obferve in $uly and Augu(l , when the Guard-fiars in the evening begin to come down towards the Weft, and keeping clofs one eye, bring the other fomewhat near to the South- moft firing, and order your fight fo, that this firing, and the Weft- moft firing upon the North fide, may catch the foremoft Guard-^ar in the down-coming,when it is furtheft Weft, and there fix it. When the fame Star is turning up towards theEaft* catch it by the South-moft firing, and the Eaft-moft firing on the Noith fide, and your work is done, if fo be, you divide exattly, between the Eaft- moft and Weft-moft,and there hang a fourth firing, which with: 214 ©ifcellan? €)ofcr^atioa 0 , with the firing upon the South-fide, gives you the true South and North, For better undemanding, notefirft, that, when the Guard-ftjrs are coming down, or going up, the Altitude varies quickly, but the Azimuth, or motion from Eaf: to Weft.will not vary fometimes fenfibly in two hours almoft, which is a great advantage in this cafe. But when vou find cut the Meridian with a P/.-?/> 3 and a Perpen- c S , by the thadow of the Sun, if it be not when he is about Eaft and Weft, the Azimuth alters tno.e than the Altitude, whch is a great diladvantage. Now its certain, the ilower the motion be from Eaft to Weft of any S t eatier to obierve, and it is the more fure way. Note fecondlv, that (pedal care muft be had, to caufe the ftrings hang Perpendicular. Note thirdly, that before you begin your OblervatiQn3,tne South.moft firing muft be made immoveable, but the Eaft-moft, and Weft- moft, onthe other fide, muft notbefo, becaufe as the Stars :n uoinj about move from Eaft to Weft, fo muft the laid two'ftrings be left at liberty, to move a little hither and thither, till the Obfervations be ended. Note fourth¬ ly, that aflbon as you perceive fenfibiy,the foremoft Guard* ii.ir ro decline towards the Weft, then you muft begin to obfeive, which is nothing elle, but to fix your eye fo, that the South*moft and Weft-moft firing, may cover the (rid Star, And becaufe in coming down, it goes Weft, therefore, let the Weft-moft firing move towards the left hard by degrees , following the Star to its utmoft, till it be covered by them both. Follow the fame method,, in obferving the fame Star in going up towards the Eaft, Note fifthly,that when you make the two ftrings cover the Star, that which isneareftto the eye, will appear tranfparent, and of a larger fize, fo that you may perceive diftindlly thorow ^MfceUanp Dbferfcatfcms* m thorowit, not only the Star it felf, but the Other firing al- fo which is a great advantage. This is evident to any, who holds a bended filk threed between their eye and a Star in the night time ; tor when you dired your fight to I the Scar, the"firing appears like the fmall firing of a Vir¬ ginal when it trembles. Note fixthly, that in obferving in a dark night, you muft have a Cutthroat, that by the light of the candle you may perceive the firings. Some other things might be noted, but you will find them bet¬ ter by experience, than they can be expreft here, I named fitly and Augujl in the evening for obferving the Guard-jlars, when they are Weft-moft, but there are feveral other feafons, when this may be done as conveni¬ ently, They are Eaft-moft in the latter end of Oclokr , and beginning oiNovember about 5 or 6 a clock in the morning.. , If a man were defir-ous to make thisobfervation quickly, I fuppofe he might in the end of Otlober , find the faid ftars Weft-moft in the evening,andEaft- moft the next moining. Befides the Guard jlars ,"a man may make ufe of the Polar- \ par ^ for as it goes higher, and lower than the true Pe/c,by ' 2 degrees and 26 minuts, fo it goes as much to the Eaft, and as much to the Weft,' once in 24 hours. In the end of3Wy, youwill find the Pohr-flar Eaft-moft, about 9 ■ a clock at night ,and in the end of January Weft- moft at-9 a clock. Note, that every month, the fixed ftars come fooner to the fame place by two hours : therefore in the end of Augujl the Polar- jar muft be Weft, at 7 a clock at night, and Eaft at 7 a clock in the morning. When the Meridian is found out.after this manner, there is no Star or Planet can pafs it, but you may know exactly when, be it never fo high, or never fo low. For there is nothing to he done, but to wait, till the South-moft and North- moft 2i6 ® uceuanp ^Dbfemations* meft firing cover the body of the Star. If it be the Sun, hold up a white Paper, behind the two firings, and when their fnadows co co-incide, and are united , then is his Center in th s Meridian. It the Sun do not fhineclear, as when he is under mift, or a thin cloud, you may exaftly take him up in the Meridian , with the two firings. This Frame will ferve as well, to know when any of the North Stars comes Souther North, and confequently when they arehigheft, and when they are lowed : for being fixed in an open place of the Orchard , there’s no Celcftial Body can pafs the Meridian ,either on the one fide, or the other, but It may be catchec, what ever the Altitude be, and that mofteafilv. OBSERVATION VIII- T Here hath been much inquiry made by feme anent the reafon, why the dead body of a man or beafl, rifeth from the ground of a Water, after it hath been there three or Sour days. But though many have endeavoured to folve the queftion, yet the difficulty remains 5 and in efledl it cannot be answered, without the knowledge of the fore¬ going Doctrine, anent the nature of fluid Bodies. To find out the reafon then of this Phenomenon , confider, that all Bodies, are either naturally heavier then Water, as Stone and Lead, or naturally lighter, as Wood and Tim¬ ber. If they be heavier, they fink: if they be lighter, they fwim. Now I fay, a mans body immediatly after he is drowned, his belly being full of Water, mufl go to the ground, becaufe in this cafe, it will be found fpecifi- ally or naturally heavier then Water. That’s to fay, a mans body, will be heavier, than as much Water, as is fiptfcellan? £)bf cttat(on g, 217 the hulk of amans body. For pleafmg the fancy, imagine a Statue to be compofed of Water, with all the true di- menfions of the perfon that’s dead , fo that the one fhall anfwer moft exaftly to all the dimeniions of the other. In this cafe, if you counterpoife them in a Ballance, the real body, that’s made up of flefh, blood, and bones, fhall weigh down the other. But after this dead body hath lierr a fliort time among the Water, it prelently begins to fwell, which is caufed by the fermentation of the humors of the blood, which goeth before putrefaction, and after three or four dayes fwells fo great, that in effedt, it becomes natu¬ rally lighter than Water, and therefore rifeth. That is to fay, take that body, that is now fwelled, and as much bulk of Water, as will be the preci r e quantity of it, and having counterpoifed them in a Ballance, you will find the Water heavier than the body. OBSERVATION I X- U pon Thar [day the 2 5 of Augufi 1 6jo, the following Experiment was made in a new Coni-fink, on the Weft fide of Trnmnt, When the Conl-hcrvers had digged down about 6 017 fathom, they were interrupted fome- times with ill Air : therefore to know the power and force of the Dnm^we let down within the Bucket a Dog. When he had gone down about 4 fathom,'-or' middle Sink,- we. found little or no alteration in him, Tave'only t'hat.he opened his mouth, and had fome difficulty ifi breathing, which we perceived evidently: for no fooner he.was pul¬ led up to the top, whefe the good Air was ; , but he left off his gaping. We let him down next to the bOttom,wdiefe he tarried a pretty.while, but no more-change we loUrid-in- E e ' him nS £0ffcclianp ©Metbattons. iim than before. After this we let down a great quantity i>{ whins > well kindled with a bold flame, but they no 'ooner came to the middle of the Jink, but the flame was in minShnt extinguished: and no foonerwasthe Bucket pul- ledup, but they took fire again. This was 5 or 6 times tried, with the fame fuccefs. If we compare thisObfer- vationwith the firft, we will find, that all Damps are not of the fame power and f^rce 5 but that fome are Stronger, and kills men and beafts in an inftant: and that others are Iefs efficacious, and more feeble, and doth not fo much hurt, and that men may hazard to go down into a Sink, where iS Air is, even though fire be fometimes extinguish¬ ed, We fee next, that thefe Damps doth not alwayes infed the whole Air of a Coal-pit, but only a certain quan¬ tity: for fometimes it is found in the bottom, fometimes in the middle. And we fee laftly, that they are not al¬ wayes of long continuance: for it is found, that though the Air be ill in the morning,yet it maybe good ere nightj lad totally evanished ere the next day. We may add, as was noted in the firft Gbfervation, that thefe Damps de¬ pend much upon the feituation of the winds,feing in ftrong Southerly winds, they are frequently in thefe places. OBSERVATION X- O f thefe many excellent devices, that have been found oat of late, the Air-pump is one, firft invented in Germani, and afterwards much perfected in England by that Honourable Perfon Mr Bojl, who for his pains, and indaftry in making Experiments therewith, deferves the thanks of all learned perfons. Several trials hath been made bfertwtton& peared there. But more and more Air coming into the Receiver^ that halt inch in the top of the Pipe, did fodi- minifh, that it appeared no bigger than the point ofa Pin, and was fcarcely difcernable to the eyes. What a .ftrange and wonderful faculty of dilatation and contra&ion muftbe in the Air, feing that which prefenjly had .filled the whole. Tub, that was 40 inches long, and thefixtb part of an inch wide, was contracted to as little room, as the point of a Needle. And by making fome new exfuf- 10ns, that (mall Atome of Air did fo dilate it felf again, that it filled the fame.Tub, and not only that, but, as tormeily, it bubbled out from the mouth of the Pipe feveral times. ’Tisto beobferved, that though at thenrft falling down of the Brandy ^ it appeared like broken Water, near the top of the Pipe within, yet no fuch thing .was feeu the fecond time it fell down $ thereafon is, becaute by the firft exfudtions, it was well exhaufted of its aerial particles. Once or twice I found, after the Brandy within the Pipe was well freed of Air, that no exfu&ions could make it move from the top of the .Tub; and obferved a round Bubble of Air to march up , which when , once it came to the top, did feparate the one from the other. If this hold good, itfeemsto prove, that neither Mercury, nor any other Liquor would fall down in Pipes, unlefs there were Air lurking amongft the parts to fill up the defert- ed fpace. From this Experiment we learn, that no pei fon can well apprehend or conceive , how far, an! to what bounds the fmalleft part of Air is able to expand it felf. And it proves evidently , that when the Receiver is as much emptied as it can be> by the Art of man, yet it is idi of Air compleatly. m $)tfceumip $>dfertoattous* The third trial was after this manner: I fet within the Receiver a little Glafs half full of Brandy, and the lid being cemented on, I began to pump,but there appeared no alte¬ ration at the firft exfuftion, Atthefecond, I perceived a great company of very fmali Bubbles, that for a long time attended from the body of it, and came to the furface. At the third, they were fo frequent, and great, that the Bran* ^appeared to feeth and boil, and by reafon of the great ebullitions, much of it ran over the lips of the Glafs, and fell into the bottom of the Receiver, This boiling conti¬ nued for the fpace of 7 or 8 exfu&ions, and by procefs of time, the Bubbles grew fewer and fewer,and when about 30 0:40 exfuSions were made, no more appeared. With this fame fort of Brandy , I filled the fore-named Pipe, and fet it within the Receiver , the mouth of the Tub being guarded with the fame fort of Liquor. When it began to fubfide, there appeared no Bubbles near the top as before .• the rea- ron teems to be , becaufe the Brandy was well exhaufted from its aerial particles. Fora fourth trial, I filled the fame Tub with Ale, that was only 5 or 6 dayes old , and crowning the end of it among ftagnant Ale of the fame kind, I began to Pump, and found, thataffoon as the Li¬ quor began to fubfide, from the top of the Pipe, the whole Ale within the Pipe, aimoft turned into Air, and Froth, and fo many large Bubbles came up from the ftagnant Li¬ quor, that I thought the whole was converted into Air. It was moft pleafant to behold their feveral forms and fhapes, their order and motion. This fame Tub being filled with foeet milk , I found very few Bubbles in it, when by the exfu&ions, it began to fubfide. I likewife took a little Glafs-viol, and fill’d the half of it full w ; ith common Ale, and fet it within the Receiver, At the firft exfu&ion, Bubbles fXfceiiany DWecwmons. 213 Bubbles of Air began to l ife oat of it. At the fecond and third, they did fo multiply, that they fill’d the other half of the Glafs, and ran over, as a Pot doth when it boileth, And before I could exhauft all the Air out of it, moe than 20 exfu&ions parted. Fora fifth trial, I filled the often mentioned Pipe with Fountain-water, and when it began to fubfide by Pump¬ ing, I found it leave much Air behind it. Bat all the ex- fudionsl made, could not make the Water of the Pipe go fo low, as the ftagnane Water, by which impediment, I could Pump no Air out of the Pipe,as I did, while I made ufe of Brandy. This tells us, that either there is not fo much Air lurking among Water, as among Brandy ^ or that the Air among this, hath a more expanfive faculty in it, than the Air that lurks among Water, If any think, that it is not true and real Air, which comes from the Brandy, but rather the Sprits of it, which evaporats, I anfwer, if a man ' taft this Brandy that’s exhauftedof its aerial f articles , he will find it as ftrong 3 as before, which could not be, if the Sprits were gone, For a fixth trial, I took a Frog and inclofed her within the Receiver, But all the exfu&ions I was able to make, could not fo much as trouble her, Only, when the Re- tmwwasexhaufted, I perceived her fides tofwellvery big, and when the Stopcock was turned, to let in the Air again, her Tides clapped clofs together. I obferved like- wife, when the Air was pretty well Pumped out, that the Frog had no refpirations,or if there were any,they were ve¬ ry infenfible. The next day, after fhe had been prifoner in the Receiver 24 hours, I began again to Pump, and after feveral exfu&ions, her fides fwell’d pretty great, and I perceived her open her mouth wide, and fomewhat like a ii4 £0tfceliani> ^bfetfcattons. Bag endeavouring to come out, which furely hath been fomeof her noble parts, ftrlving to dilate themfelves, the body being freed of all Preffure from the ambient Air. OBSERVATION XI- T Ake a {lender chord, about 4 or 5 yards in length, ana fatten the middle of it to the feiling of a Room with a naiijfo that the two ends ofit may hang down equal* ly. Take nest a piece of Wood, two or three foot long, two inches broad, and one inch thick, and boring an hole in each end of it, put through the two ends of the chord, and fatten them with knots ? but i'o, that the piece of Wood may ly Horizontal, and be in a manner a Pendulum to fwing from the one end of the Chamber to the other. Take next a Bullet of Lead or .Iron , about 20 or 24 ounces, and lay it upon the Laid piece of Woodbut be¬ came it cannot well ly, without falling-off, therefore nail upon the ends, and the fides of the Timber, lourp ; eces of Sticks, oil each end one, and on each fide one, as 'Ledgets i for keeping the Bullet from falling off. All things being thus ordered, draw up the piece of Wood towards the one fide of the Room, by which means lofing its horizontal pofition, it will ly declining-wife, like the roof of an houfe, lathis pofition, lay the Iron Bullet in the upmoft end of it, and then let them both.pafs from your fingers, the one end of the Wood going foremoft,and you will find it fwing towards the other Tide of the houfe, and return again, as a Pendulum. This motion, if the Wood be well guided in its vibrations, will laft perpetually, becaufe in its moving down, the Bullet is hurled from the one end of the Wood, to the other, and hits it fo fmartly, that it begets in it, g piffcllang Obfettoatfott g, ny an impulfe,. whereby it is carried farder up, than it would be, without it. By this means, th t vibrations get not h': berty to diminiih, but all of them are kept of the'fame ' length. In the fecond vibration, the fame Bullet is hurl¬ ed back again to the other end, and hiting it with all its weight, creats a fecond impulfe, wherewith the Wood is carried, as far up as the point it was firft demitted from. Though this may Teem a pretty device ropleafethe fancy, that’s many times deceived, while things are pre- fented to it, by way of fpeculation, yet upon tryal and ex¬ perience, there will be found, an unfpeakeable difficulty.* and it’s fuch an one, that a man would not readily think upon. I faid, that when the Wood was let go, and was in paffing down, the Bullet in it, would hurl down, and hitthe oppfite end, and beget an impulfe;, but there is no fuch thing, for veiily, though the Bullet be laid upon a very declining plain Board, whereupon no man could imagine a round body could ly, yet all the time the Board is in Twinging, from the one fide of the Chamber, to the other, and confequently, fometimes under an horizontal, and fomtimes under an declining pofition, the Bullet lies dead in the place, where you firft placed it. This Obfer- vation is not fo much for a perpetual motion , as for find¬ ing out the reafon of this pretty Phenomenon , namely, what’s the caufe, why the Bullet, that cannot lyupona reclining Board, while it’s without motion, fhallnowly upon it, while it’s under motion if What is more difficult, and nice, to ly upon any thing, that declines from a levell, than guide-filver-, yet lay never fo much of it upon this Board, while it is Twinging, it fhall ly dead , and without motion. But no fooner you flop the motion of the wood, Ff but 216 jgpfctuanp CWemtions* but afioon, the Bullet, orth e gttick- fiber , isfinrle-d, either this way, or that way. - OBSERVATON XI !• I Fitti it mentioned by fome learned perfons, that when a Ship is under Sail, if a done be demitted from the top of the Maft,lt will mtfve down in a line parallel with it, and fall at the root. Some might think, it ought not to fall dire&ly above the place it hang over, but rather fome diftance behind, feing the Ship hath advanced fo much bounds, in the time, wherein the done is coming down, Likewife, while a Ship is under Sail, let a man throw up a {tone never fo high,and never fo perpendicular, as to his ap- prehenfion , yet it will fall down diredly upon his head again, notwithftanding that the Ship hath run ( perhaps) her own length in the time, while the done was afcending and defcending. This experiment I find to hold true, which may be eafily tryed, efpecially when a man is carri¬ ed in a Boat upon fmooth Water, drawn by a horfe, as is done in fome places abroad. Let him therefore throw up a little Stone, or any heavy Body, and he will find it de- fcend juft upon his head, notwithftanding that the Horfe that draggs the Boat, be under a gallop, and by this means hath advanced ten or twelve paces in the time. Or while the Boat is thus running, let a man throw a ftone towards the brink of the Water 5 in this cafe he (hall not hit the place he aimed at, but fome other place more forwardj This lets us fee, that when a Gun is fired in a Ship under Sail, the Bullet cannot hit the place it was directed to. Neither can a man riding with a full Career, andfhooting a Piftol, hit the perfon he aims at, but muft furely mifs SBlfccllatip Dbfetbatfotis. ivf him, notwithftanding, that though in the very inftant of time wherein he fires, the mouth of the Piftolwas moft juftly direded. For remedy whereof, allowance muft be granted in the aiming at the mark. While a man throws up a ftone in a Ship under Sail, it muft receive two diftind impulfes, one from the hand, whereby it is carried upward, the other from the Ship, whereby it is carried forward. By this means, the ftone i(t going up, and coming down, cannot defcribe a perpendi¬ cular, but a crooked Line, either a Parabola, ora Line very like unto it. Neither can it defcribe a perpendicular Line, in coming down from the top of the Maft, thopgh in appearance it feem to do fo, buc ,a crooked one, which in effed muft be the half of that, which it defcribes ingo¬ ing up,and coming down.For this fame caufe,aftone thrown horizontally, or towards the brink of the Water, mujft defcribe a crooked Line alfo. And a Fiflol Bullet fhot, while a man is riding at a full Carreer, muft defcribe a Line of the fame kind. Note,that a man walking from the Stern of a Ship to the Head, walks a longer way, than in walk¬ ing from the Head to the Stern. Secondly, a man ftijty walk from the Head to the Stern, and yet nor change his place. ’Tis obfervable, that a man under hoard , will not perceive whether the Ship be failing, or not, and cannot know when her Head goes about. And it is grange, that when a man is inclofed in a Hegs-head, though he have light with him; yet let him be never fo.oft whirled about, hefhallnotknow, whether he be going .about, or not. Ffa Op$£R* u8 ggifcc llanr €> afett>at (ons, OBSERVATION XIII- I " ^oundlm Philo fophicaltranfaBion lately Printed, that Deccmh.13.1669, one Dofior Bed found the Mercury in the Barofcope, never to be fo high, as it was then. That {?m e very day, I found the hight of it 29 inches, and nine ten parts,which I never obferved before. And though the day here was dark, -and the Heavens covered with Clouds, yet no rain for many dayes followed, but much drynsfs, and fair weather. On Saturday night, CM Arch ■26, 1670, I found the altitude no more than 27, and nine ten parts. This night was exceeding windy, with a great rain. On Febriury 1.1671. 1 found the altitude 30 inches, and the Heavens moft clear. But in the moft part of May following, I have found the hight but 27 inches, andfive ten parts, in which time there was abundance of rain. OBSERVATION XIV* 1 ^[Ovtmhr 7, 1670. I made exaft trial, with the ]_\ Magnet ick Needle for knowing the variation, and I found it vary from the North t three degrees and a half, to- wards the Weft. Hevelitts writes from Dantzick to the HoydSociety at London, $uly$. 1670, that it varies with him feven degrees twenty minuts, weft. OBSERVATION XV- 'T'VEcember. 17. 1669, I obferved with a largest-' .1 M dr.ant , half 9 a dock at night, the formoft Guard-(lar, when it was ia the Meridian 5 aadlowcft, to have 41 de¬ grees g piftellanp iDbfc ttoatfotig. 229 grees 22 minuts of altitude. And on fpamary 7, 1670 at 7 a clock in the morning, I found it, when it was in the Me - ridian, and higheft, to have 70 degrees, 27 minuts Hence I conclude the elevation of the Foie here to be 5 5 degrees, 54 minuts, 30 feconds: and confequently as much at Edinburgh ^ becaufe both the places are upon one and the fame Parallel. OBSERVATION XVI* F Or finding the true Meridian , follow this method. In fome convenient place fix two V.'yre firings with weights at them, that they may hang perpendicular. Then in the night time,obferve,when the fourth far of the Plough begins to come near to the loweft part of the Meridian , at which time you will find the Polar far Kigheft. T Ken, fo order the two firings, by moving them hither, and thither, till both of them cover both the faid Stars , then fhall they in that pofition give you the true South and North, This obfervation is the product of the fevenrh. OBSERVATION XVII- T Here fell out in Mid and Eaf-Lothian , on Thurfday May 11, 1571, in the afternoon, a confiderable fhour eAha.il, with thunder and rain. It came from the South-weft, with a great blaft of wind, and ran alongs from Piffs-land-bills North- eaft, towards the Sea- coaft. The hail were big in feveral places,as Mufqut *■ Ball , and many of them rather oval than round. Some perfons fuffered great lofsof their young Peafe •, others of their Glafs windows. Eight or ten days before, there was a confiderable heat. 2$o gptfcclianp £>bfert)ations* and dry Weather. For 20 dayes after , cold Eafterly winds, with rain every day, but efpecially, in the end of the Moneth, extraordinary rain and mift This is fo much- the more to be obferved, becaufe in this Countrey, ftl- domfuch extraordinary hail falls out. This year the Agues and Trtmbi ng Fivers have beenmoft frequent, and to ma¬ ny deadly. OBSERVATION XVIII- I Did hear lately of a curious Experiment in Germany, made by a Perfon of note, which I (hall briefly in this Obfervation, let zhe Reader underftand. And though I have heard fince, that it is now publifhed in Print, yet I hope it will not be impertinent to mention it here, efpeci¬ ally for their caufe, who cannot conveniently come to the knowledge of fuch things. And for this reafon alfo, that I may explicat the Phenomena thereof, from the forego¬ ing doftrine , and demonftrat particularly the true caufe of that admirable effeft, that’s feen in it, which I defiderat in the publifher. The Audior then takes two Feffels of Brafs , each one of them in form of half a fphere, of a pretty large fize. Nothing can more fitly reprefent them for form and quantity, than two Bec-skeps. Only, each of them, hath a ftrong Bing of Brafs upon the Center with¬ out : and they are fo contrived by the Artifl, that their orifices agree moft exactly, fo that when they are united, they reprefent an intire Sphere almoft. In one of the fides, there's a hole, and a Brafs Spigot in it, through which the whole Air within, isexfufted, and drawn out, namely by the help of the Air-pump. And, when by feveral exfudH- ons the Feffels are made empty, the St.op-coci is turned about. flptfccltanp iDbfetbattotis. m about, by which means, no Air can come in. And, they remaining empty, are taken from the Pump, and do cleave fo faft together, that though a number of lu(ly ftUom , i z on each fide, do pull vigorously, by help of ropes faftned to the Rings , yet are they not able to pull them afunder. And becaufe this will not do it, he yokes in 12 Coach Horfes, fix on every fide,yet are they not fufficient, though they pull contrariwife to other, to make a reparation. But to let the Spectators lee, that they may bepulied afunder, he yokes in p or 10 on every fide, and then after much whipping, and fweating, they pull the one from the other. The caufe of this admirable effeft, is not the fear of va¬ cuity, as fome do fancy, for if that were, all the Horfts in Germany would not pull them afunder, no not the ftrength of Angels, It muft then be fome extrinfick weight and force, that keeps them together, which can be nothing elfe, but the weight of the invironing Air, Becaufe, no looner a force is applied, that’s moiepowerful, than the weight of the Air , but aflfoon they come afunder. And fo neither fix men, nor fix horfeson each fide are able to do it: but nine or ten on each fide makes a feparation. For underftanding the true caufe of this Phenomenon, we muft confider that the Veffels are 18 inches in diameter. If this be, then according to the laft Experiment, there are two Pillars of v 4 />,each one of them as heavy as a Pillar of Mer¬ cury 18 inches thick, and 2p inches long, by which they are united. Or, each Pillar ol Air , is as heavy, as a Pillar of Water 34 foot high, and 18 inches in diameter. For finding the weight of it in pounds, and confequently, the weight of each Pillar of Air, : by which the two rebels are united, follow this method, Firft, multiply 9 the femi- diameter iji cgifcet ianp Obfccbations ._ diameter of the Pillar, by 54 the circumference, and this elves you 48 6,the half whereof is the bounds of the Area, namely 243. Andbecaufe 34 foot contains 408 inches, I multiply 408 by 243,the product whereof is 99144 s fo many fquare inches are in a Pillar of Water 34 foot high, and 18 inches thick. Now king there are 1728 inches in a cubical foot, I divide the number 99144, by this num¬ ber, and I find 5 7 fquare foot of Water, and more. And becaufe every fquare foot weighs 5 6 pound 7 Vw.r, I multi¬ ply 56 by the number 57, and the produft is 3192 pound, which is the juft weight of aPillarof Water 34 foot high, and 18 inches in diameter, and which is the juft weight al- fo of each Pillar of Air, by which the two Fejfels are kept together, which will be more weight than [even Hogs¬ heads full of Water, This is eafily known 5 - for feing a quart of our meafure weighs feven pound, (or to fpeak ftridtly fix pound fourteen ounces, feing the Standard-jug of Stri- viltng contains three pound feven ounces of Water) a gal¬ lon muft weigh 28 pound: but 16 times 28, is 448. A Puncheon then full of Water, weighs 448 pound. If then you divide 3192 by 448, you will find more than 7. The 9 horles then upon this fide have 3192 pound weight to draw, or 199 ftone, or the weight of [even Hogs-heads full of Water, The other 9 horfes upon the other fide,have as much to pull. ’Tis no wonder then to fee fo much diffi¬ culty and pains to make a feparation.lt.is obferved,that be¬ fore the Air be exfu&ed and drawn out of the two Feflels, one man is able to pull them afunder with h:s hands only. Nay,which is more,if he but blow into them,as a man doth into a Bladder, he will feparat them. The reafon is, be¬ caufe the Air within, is of as great force, as the Air with¬ out. 5 Tis obfervablenext, that the larger the Ve\fels be in ipfcciianp g>Dfcrtatton& in dimeter , the more ftrength is required tp pull the one from the other' Upon fuppofition then, they were 4 foot wide, I verily believe 30 yoke of oxen, upon every fide, would hardly difjoyn them j becaufe the weight of each pillar of Air, would be no lefs, than 221844 pound, which would take 63 ftroog horfes to overcome the force of it. To pull the one Veffel therefore from the other, theremuft be 125 horfes, that is, 5 j on every fide. OBSERVATION XIX- T Hough thisObfervation may feem ufelefs,becaufe the Propofals, that are mentioned in it, cannot be made out,and brought to pafs, the Author having died, before he had encouragment to profecute them : yetforthefe fol¬ lowing reafons, I have adventured to infert it here. Pirft, that others, may either be minded to find out f if poflible) his inventions, or fet a work to find out fomethings, that may be as ufeful. Next, becaufe, he was one of this fame Nation , and a great Mafter of the Mathematicss , not only in the Speculative , but in the fraciical part chiefly, and admirable for invention. And for this caufe principally I have prefumed to mention his defigns, and propofals,whiqk were found among his , alter his.death , which are here infert, as they were written with his own hand, and offered to the publick , not only at home, butabrpad,tp ftrangers. There have been men in all ages famous, for fomeoneArt and Science beyond others, as Ape Lie; fpr Painting, Hippocrates for Medicine, Bem-oftbenes- fowOrat. try ., but who have been more famous in their time.thap fome perfons for their profound .knowledge in Afimmy^ Geometry find the (Other parts of the UatkmAtich . What 134 ffiifceu anp & bfeEftations» an admirable perfonwas Archimedes lor his divine know¬ ledge, both in the speculative , and Pratfical part. Yet, it was not his fpeculations (imply, though excellent, that did fo much commend him , as his Inventions , and admi¬ rable Engines i or peace and war,as is clear from the Romane Hiftories, and others. I confefs the Students of thefe Arts, are not fo much in requeft now, at lead amongft fome, and that knowledge is not fo much efteemed 5 and the reafori maybe 5 becaufe fome who profefs themfelves great Ma - fiers, ftudy nothin? but the pureYpeculations,which fome- times are to fmill pm pore,others before knowing the fame, unlefs for perfecting oi the mind, and giving to a man fome private fatisfadtion. But fuch things will never commend a man fo much as the practical part, and new Invention will do. Tis furely a fnnll bufinefs for one to do nothing, but to nibble at fome petty Demonftration. But when fuch fpeculations are joynedwith invention and practice, for the profit, andufeofmen, among whom they live, then are they far more to be commended. And if this be not, fuch knowledge is of fmall advantage to themfelves or others. Many of the Ancient, and late Aftronomers have been,and are famous lor pra&ice, aswitnefsthe indefatigable pains they have been at in making their Obfervations. What hathfo highly commended :derchi(lon over all Europe , as his inventions, efpecially his Logarithmes d And it all be true, that’s reported (which I am apt to believe i he might have been more renowned, for his many excellent Engines , which though ufeful, yet becaufe hurtful to mankind, he buried with hlmfelf. I am confident, if the Author of thefepropofals had had time to have profecuted them, he would have been celebrated in the Catalogue of the moft famous Mathematicians ofhistime. But leaving this, I ' ' ' Ml cptfceuatiy a)bf wtatftm s. a# fhall give you them in his own words: but firft his Apo-j logy. Thefe bold piopofals will need perhaps an apology to fuch, to whom the cauies, and circumftances are unknown. Let it fuffice, that the Propofer finding himfelf between twoextreams, either to leave unprotected this affair, for fear of being miftaken by fome, as impudent, or to com* mit himfelf openly to the charitable judgement of others, 1 who will fufpend their cenfure, till they have feen what his endeavours will produce. He hath rather chofen this laft, efpecially confidering, that his filence could not anfwer to his duty, which he owes to his Countreys fervice, feing the following Engines may be fo ufeful to it. A deduction of the fabrick, caufes, and occafions of thefe new Engines, that fet the Inventer a-work, would take a long time to difcourfe upon. This Paper therefore is only deftined for a fliort information of their ufe, the reft, which could not here be infert without impertinency, maybe fupplied af- terwards (if need be) either by a difcourfe, or by a parti¬ cular demonftration. The Propofer then is of opinion, fif felt-love of his own Inventions do not blind his Judge¬ ment ) that thefe paradoxes may be truly affirmed. That if itfhall pleafe His Majefty to arm with thefe new Arms, and Engines, 5 oo Foot, or fewer, this fmall num¬ ber fhall be Matters of theTields in France Germany ^Spain, or where elfe it fhall pleafe His Majefty, however encoun¬ tered by the moft powerful Army of Horfe or Foot, armed with ordinary Arms, of Piftol, Carabine, Pike, Mufquet, which Europe can bring ro the Fields. Thecaufeof this admirable effedl, is in the quality of thefe new Arms,by which, the whole Horfemen and Foot¬ men of the enemy are rendred ufelefs, and onfervicable ^ Gg 2 - neither 2j6 £ 0 tfcettanp dPbfttDatians._ neither can they do any offence to thefe, who are fo armed. The Mufquettcers, who can only ferve againfi: thefe Ma~ clins, /hall be put to fuch difadvantage, as it is impoffible they can/land, the leaft time, in the common way of fer- v:ce With the Mujquet, it not being able to make one fliot for twenty, which (hall be made from thefe new Engines. Thefe nuv Arms, have this advantage likewife, that thefe who are fo armed, can by no force of Horfe or Foot be broken, or put to ciforder, TheSouldiers are alfoby them put to a neceffity of keeping together, and fighting, and by them, they are fo Baricadod . and ftrongly defen¬ ded, that if they leave them not, tney cannot be expofed to danger. This contributes much to good Difcipline, when the Souldiers fhali by neceffity be tied to his duty, and fear, which otherwife makes him run away, fhali here, for his fafety make him ftand. Thefe new Arms are ufeful, as well in Marching, as in’ Combating, for with them, we may march feenrely two in front, through the ftraiteft paflages, and be able to force with them any advantage a ftrait paffage can give to an ene¬ my. Befides, for a long hafty march, where Victuals can¬ not be well carried, the Souldiers are ablewith thefe Arms to carry their own provifion for eight dayes, with more fa¬ cility, then they can now carry one dayesprovifion. To lodge in the open fields, thefe Arms fhali need no Intrenching, for they fufficiently both Arm and Bari cade the Souldiers, And as they are ufeful in Service,fo are they a great deal cheaper than the ordinary ^Jrms, For although with 5 rhoufandmen fo armed, the fervice of iooooo armed with common Arms may be done, yet the whole price of them fiPif ceunng gW f tcu ations, 137 them will not amount to that which will be required for arming 20500 Cor rapiers^ as maybe particularly deduced, from the particular prices of the Arms, and Engines fitted for the feivice of 5000 men. The Propofer doth offer to fhevv, that thefeArms will not furmount 40000 pound Sterling. The Artillery will amount to 4500,and the pay¬ ments of this number of men foarmed, yearly to 70000 pound. Yet all thefe are taken in l'o large a latitude of reckoning, as the turn of Arms. Artillery, and payments, will not be much above 130000 pound Sterling. The Arms from which thiseffed is promifed, are new Engines, with which, one man is able to do the fervice of a great many Mufauetteers, And thofe are of two forts, either to be ufed upon a fmall Wagon for Footmen, or on a greater for a Horle, with either of which, one hand is able to make the fire of roo CMupuetteers , and fo much better, by how much it is more regularly, and fitly done for execution and offence. The new Cannon fhali have the like advantage above the old, both for eafie carriage, being lighter, and for greater execution, fhooting fix, nine, or twelve Bullets for one. Thefe Arms give not only this advantage at Land in the field, but alfo in Ships, and places of defence, Thefe nine following propofitions he likewife offered to makegood, Firft, With one foot of Carney to do the execution of five foot of the fame Cmnm > in the common way' of Bat¬ tery. Secondly,to difable any Ship or Galley with one foot of Cannon. Thirdly, to fire any combuftible matter with the foot of a Cannon , Fourthly, ffitfcel lanp flto fettwttons. Fourthly, to make an Uachin or Engine for tranfporting. an Army, which may be carried without the incommodity thereof. Fifthly, to make a Sotting Fortrefs for defence of Ri¬ vers, and prohibition of Paflages. Sixthly, to make a OKcrtar that hath a directory Stell upon the Carriage, Seventhly, to make Vet Ards of divers forms, that fhall be able to do twice as much execution, as thofe that con. tain as much Powder. Eighthly, to make fmall Petards of great effed. Laftly, to make Bridges^ and Scaling Ladders of eafie Carriage. OBSERVATION XX- T Hefe Obfervations being MifcelUnj , require not 2 formal connexion between themfelves, and there¬ fore ’tis no matter what method I keep in fetting them down. And though this may feem not fo pertinent, as others, yetbecaufe the defignofit is only Philosophical, and for advancing the Hiflorical part of Learning in order to Sprits , upon which the Scientificd part doth fo much depend, I have prefumed to infer t it here, confidering al- fo that there are fome, who have adventured to deny their exigence, and being; which from fuch a Hiftoiy as this, may be more than probably evided. I find likevvife, that feveral Writers have remarked fuch {frange accidents, and have tranfmitted them to pofteiity , which may feive ior good ufe. The fubjed-matter then of this Qbfervation, is a true and fhort account of a remarkable trial, wherewith the Family oi one Gilbert Compel, byProfeflion a Wea¬ ver ^tfcellanp £>Dfeti)atfcn& 239 ver in the old Paroch of Gltnluce in Gdllcmj , was exer- cifed.Though the matter be well known to feveral perfons at that time, and fince too •, yet there are others, eighteen years interveening, to whom (perhaps) fuch a relation will not be unacceptable, who have either not as yet heard of it, or at leaft, have not gotten the true information, which is here fet down, as it was Written, at the defire of a fpecial Friend, by Gilbert Campbel’s own Son, who knew exa&ly the matter, and all the circumftances, whofe words are as follows. It happened m ottober i #4, that after one Alexander Agmv, a bold and fturdy Beggar, who afterwards was hanged at Vumfreis for blafphemy, had threatned hurt to the Family, becaufe he had not gotten fuch an alms as he required: the faid Gilbert was oftentimes hindered in the exercife of his Calling, all his Working-Inftruments be¬ ing fome of them broken, fome of them cutted, and yet could not know by what means this hurt was done; which piece of trouble did continue, till about the middle of No¬ vember, at which time the Devil came with new and ex¬ traordinary affaults, by throwing of Stones in at Doors and Windows, and down thorow the Chimney- head, which were of great quantity, and thrown with great force, yet by Gods good providence, there was not one perfonof the Family hurt, or fuffered dammage thereby. This piece of new and fore trouble, did neceflitat Mr. Cjmpbel to reveal that to the Minifter of the Paroch, and to fome other Neighbours and Friends, which hitherto he had en¬ dured fecretly. Yet notWithftanding of this, his trouble was enlarged; for not long after, he found oftentimes his Warp and Threeds cut, as with a pair of Sizzers, and the Reed broken.; and not only this, but their apparel cut af- 2^.0 £jMceuanp ^bfet&attons* ter the fame manner, even while they were wearing them, their Coats, Bonnets, Hofe, Shooes, but could not dif- cem how, or by what mean. Only it pleafed G«d to pre¬ serve their perfons,that theleaft harm was not done. Yet, in the nisht time, they wanted liberty to Sleep, fomething coming,~and pulling their Bed-doaths and Linnings off them,and leaving their bodies naked. Next, their Chefts, and Trunks were opened, and all things in them ftrawed here and there. Likewife, the parts of the YV orking In¬ struments, that had efcaped, were carried away, and hid in holes and bores of the houfe, where hardly they could be found again. Nay, what-ever piece of Cloath, or Houlhold-ftuff * was in any part of the houfe, it was carried away, and fo cut and abufed, that the Good-man was ne- ceffitaced with all hafte and fpeed, to remove, and to trans¬ port the reft to a Neighbours houfe, and he himfelf com¬ pelled to quite the exercife of his Calling, whereby only he maintained his Family. Yet, he refolved to remain in the houfe for a feafon. During which time, fome perfons about, not very judicious, counfelled him to fend his chil¬ dren out of the Family, here and there, to try whom the trouble did moft follow, afTuriug him, that this trouble was not againft all the Family, but againft fome one per- fon, or other in it, whom he too willingly obeyed. Yet, for the (pace of four or five dayes after, there were no re¬ markable affaults, as before. The Minifter hearing there¬ of, {hewed him the evil of fuch a courfe, and affured him, that it he repented not, and called back his children, he might not expect that his trouble would end in a right way. The children that were nigh by, being called home, no trouble followed, till one of his fans, called Thomas, that was farrefi off", came home. Then did the Devil begin a- 5 r .ru gpifcetianp i>bfc tbat(on g, 141 frcfli 5 for upon the Lords Day following, in the after¬ noon, the houfe was fet on fire, but by his providence, and the help of fome people, going home from Sermon, the fire was extinguifhed, and the houfe faved, not much lofs being done. And the Monday after, being fpent in pri- vat Prayer and Falling, the houfe was again fet on fire upon the Tuefday about nine a Clock in the morning, yet by providence, and the help of Neighbours, it was faved, before any harm was done. Mr, Camfbel, being thus wearied, and vexed, both in the day, and in the night time, went to the Minifier, de¬ filing him, to let his fon Thomas abide with him for a time, who condefcended, but withal affined him, that he would find h'mfelf deceived, and fo it came to pafs: for, notwith- ftanding that the child was without the family, yet were they, that remained in it, fore troubled both in the day time, and in the night feafon, fo that they were forced to wake till mid-night, and fometimes all the night over. During which time, the perfons within the Family, fufibr¬ ed many Ioffes, as the cutting of their Cloaths, the throw¬ ing of Peits, the pulling down of TurfF, and Fed from the Roof, and Walls of the Houfe, and the ftealfog of their Apparel,and the pricking of their flefo and skin with Pins. The Presbytery having conveened at the place,for a folemn Humiliation, perfwaded Gilbert Camfbel to call back fiis SanThomas, notwithftanding di whatfoever hazard plight follow. The Boy returning home, affirmed that he heard a voice fpeak to him, forbidding him to enter withiu the houfe, or into any other place where his Fathers Calling was exercifed. Yet he entered, ;buc was fore abufed, .till he was forced to return to the Miniftcrs houfe again. Upon Monday the 12 of February, there# of rhe Fatni- Hh " ly H 2 ©ifcellanp DbfemttQns* Jy begin to bear a voice fpeak to them, but could not well know from whence it came. Yet, from evening till mid¬ night, too much vain difcouife was kept op with the.Dc- A and many idle and impertinent queftions propofed, without that due fear of God, that fhould have been upon their Spirits, under fo rare and extraordinary a trial. The Minifter hearing of this, went to the houfe upon the Tuef- di t , being accompanied with fome Gentle-men, who af¬ ter Prayer was ended, heard a voice fpeaking out of the ground, from under a bed, in the proper Countrey Dia¬ led, faying, Would ye know the Witches 0/Glenluce? / millted you.them ^ and fo related four or five perfons names, that went under an evil report. The faid Gilbert informed the company, That one of them ms dead long ago. The Devil anfwered, and faid, It is true, jhe is dead long ago, ’jet her [first is living with ns in the world. The Minifter replied, faying, (though it was not convenient to fpeak to fuch a perfGnj The Lord rebuke thee Satan, andputthee to (Hence ; we are not to receive any information from thee, nh.it[0ever fame any perfons go under. Thou art but feeking to feduce this Family : for Satans Kingdom is not divided again[l it [elf. After which all went to Prayer again,which being ended (for during the time of Prayer no trouble was made) the Devil with many threatnings boafted and ter¬ rified the Lad Thomas , who had come back that day with the Minifter, that if he did not depart out of the houfe , he would fet all on fire. The Minifter anfwered,and faid, The Lord willpreferve the Hou fe, and the Boy too, Jeing he is one of the Family, and hath Gods war rand to tarry in it. The Devil anfwered, He (hall not get liberty to ftay : he was once put out already, and (hall not abide here, though 1 fhouldpur- due him to the end of the world, The Minifter replied, The . Lord figiTcdianp iDofecijattons. 24$ Lord will (lop thy malice again ft him. And then they all prayed again, which being ended, the Devil faid, Give meet Spade and a Shovel, and depart from the houfefor fe- ven dayes , and I Jhall make a grave, and ly down in it, and jhall t> ouble you no mere, The Good'man anfwei ed , Not (o much as a Straw Jhall be given thee, through Gods ajft fiance, even though that would do it. The Minifter alio added, God (hall remove thee indue time. The Dew/anfwered, j will not remove for you, I have my Commijj ion from Chrift to tarry, and vex this Family. The Minifter anfwered, A permifion thou haft indeed,but God will flop it in due time. The Devil replied, I have (Mes, John) a Commiftion, that (perhaps) will la(l longer than your own. After which, th e Minifter and the Gentlemen arofe, and went to the place where the voice feemed to come horn, to try if they could find any thing. And after diligent fearch, nothing being found, the Gentlemen began to fay, We think this voice [peaks out of the children, iorfome of them were in their beds. The Devil anfwered, Toulie, God Jhall judge you for your lyinand I and my Father will come and fetch you to hell , with Warlock-theeves 5 and (o the Devil dif- charged the Gentlemen to fpeak any, faying, Let him Jpeak that"hath a Commifjion ( meaning rhe Minifter) for he is the Servant of God, The Gentlemen returning back with the Minifter, they fat down near to the place whence the voice feemed to come from , and he opening his mouth, fpaketothem, after this manner. The Lord will rebuke this Spirit, in his own time, andcaftit out. The Devil anfwerin®, faid, It is written in the $ a / 1 Mark, the Dif- ciples could, not caflhim out. The cJMinifter replied, what the D/fciples could not do, yet the Lord having hightned the Parents faith, for his own glory did caft him out, and [0 fall Hh 2 he 144 ©tfceuanp £Dbftcfcfitt0n0* he the:. The Devil replied, It is written in the 4 ef Lukej And he departed, and left him for a feafon. The Mmifter fa id, The Lord in the dayes of his humiliation, not only got the victory over Satan, in that affaalt in the wilderness, but when he came again, his faccefs was no better, for it is Writ¬ ten, Joh. 14. Behold the Prince of this world someth, and hath nothing in me 5 and being now in glory, he will fulfill his promtfe, and Godfull bruife S at an under your feetfhort- ly, Rom. 1 5 . The Devil anfwered) It is written , Mat. 2 >. There were ten Virgins, five wife, and fvefoolifh •, and the Bridegroom cam:: The fodifh Virgins had no Oyl in their Lamps, and they went unto the wife to feek 0 )'l $ and the wife (aid, Go and buy for your [elves: and while they went, the Bridegroom came, and entered in, and the door was (hut, and ihefoolifh Virgins were fen: to hells fire, T he Minifies an¬ fwered, The Lord knows the fmcerity of his fervants, and though there be Jin and folly in us here, yet there is a fountain opened to the honfe of David for fin and for mcleannefs, and when he hath wajhed tss there, and pardoned all our fins, for his Names fake, he will cafl the unclean fpirit out of the land . The Devil anf wered and laid, Thai place of Scripture is written in the 13 o/Zechimh, In that day I will caufe the Prophets, and the unclean fpirit, pafs out of the land-, but afterwards it is written, I will [mite the Shepherd, and the Sheep (hall be fcattered. The Minifter anfwered and-faid. Well are we, that our bleffed Shepherd was [mitten, and there¬ by hah bruijed thy head and albeit in fhe hour of bis fuffer- ings, his Difciplesfor(ookhim, Mac. 26. yet now having afeended on high, he fits in glory, and is freferving, gather - fig in, and turning his hand upon his little ones, and will live his poor ones in this Family from thy malice. The Mi- sifter returning back a little, and Sanding upon the floor, a right Angle, The firft fort, they term FU: -h-o.d in re¬ gard of the plainnefs, and evennefs of r'Gu. The next, they call Hinging-coal , The laft isct led Edge- Cod. The (lift is the moft profitable , in regard, that it’s long before the Coal-hewers can reach the Cnpp , and confequently the more oi it is workable. Thefecond and third fort, are fometimes of their own nature, more firm, and fitter for burning, but lets of them can be reached in working. The Courfe of all the three is moft perceptible in the three following Schematifms. • Figure i«i £@ifcellanp£>bfeirtsattons. Ft pure I, A B C A 3 B C D in all the three Figures, the point B is the Cropp of the Cal, The Line BC is the body of the Coal declining or the Dipp from the Cropp. AC is the perpendicular, failing from the Horizontal Line, whereby the true decli¬ nation or Dipp of the Coal is found. So that after you have found your Coal at B, you muft fet down your sink at the point A. In the Flat-bread-Coal, which we fuppofe only to decline, three fathoms in Gxty-,the Sink, that anfwers to the perpendicular AC, will be of deepnefs three fa¬ thoms, 03 tTfcliatiy £)bfett)atfon& 263 thorns. If the diftance B A, be fuppofed to be 120 fa¬ thoms alongft the Gnfs, or furf'ace, then will the deep- nefs of the Sink be fix fathom, and fo forth. In the fe- cond, if the Cod be fuppofed to decline one fathom in three, the Sink A C, being fet downat the fame diftance from the Crcft B, with the former, it will prove thirty fa¬ thom deep. If the faid diftance be doubled, it becomes fixty fathom deep, and fo forth. In the third, keeping that fame diftance alongft the furface,you fhall not encoun r ter the Cod with a Perpendicular Sink, becaufe of its great declination, and therefore through want of Air, and other difficulties, you cannot dig fo deep, as is neceffary to that effeift, except the Sink fhould be made to decline, as doth the Line AD. All thefe Difts are to be feea in feveral places of Lothian . The fiift is moft confpicuous in the Earl of Wintons ground at Tranent, where thecW, and x other Metals are extraordinary flat and even. The fe- cond is within the faid Lordfhip of Tranent, in apiece of ground, called Wefier- Fan fide. The third in Lonhead of Lafmid, which pertains to Sir fohn tficolfon of Nicolfon : and in many other places, one may fee very different de¬ clinations, who is curious to obferve them. From this general position of the Bin, and Cropp of all free Metals , there is one confequenr, wnich is no uncouth Obfervation, namely that thefe Metds rifing from their Lift to a Croft , every one of them rifeth in their proper courfe, ifnone of thefe things whereof we fhall treat here¬ after interveen, and make an alteration, that is the Cod or Stone, which is loweft, comes farreft out in its Croft'ng , which is eafily underftood by the fubiequent Schematifm; Wherein 164 £@tfceUanp £>bfetfcat(on& Figure 4, A D F H K M C E G I L Wherein the Line AM reprefents the furface of the Earth, CD, EF. G H. IK. L M, are fo many feve- rai 'Metals, lying in courfe one above another. Suppofe C D were a Stone , and the Roof of the Coal E F (tor fo they term the Stone , immediatly next above the Coal) and G H, IK 1 were other two Stones , interveening be¬ tween the Coals E F, and L M, then if the Cropp of the uppermoft Coal be found at F, the Crop of the Stone above it, mud be found back, at the point D, and the Cropp oi the Coal under it,which is L M, muft be found at M. And this diftance of Crcpp is proportioned by the length of the perpendicular between them, and the quantity of their de¬ clination. For,, the more even and flat a Coal is in its coirft, and other Metals , above and below, the farder doth the Cropp of the lowed Coal advance before the Cropp , of the uppermoft. For illuftration whereof, let usfup- pofe in twofeveral grounds, twocW-r, between which, j there is an equal diftance of perpendicular. And fuppofe | the Metals in the one ground to decline at 13 to 24, the other at 13 to 16, then will the diftance between the Cropps in the two grounds be very confide: able, as may be! reprefented by the two following Figures. Figurt 6 . - D '• Suppofe then, that DI, is of equal length in both-TV*-’ angles, which is the perpendicular, between thetwp Coals: yet D F in the fifth Figure, is much longer, than D F in the 6. And the reafon is evident, becaufe the'^/^/tf DIF, in the 5, is greater then the Angle DIF in the 6: and therefore the Ba'e D F, which is fubtended by the greater Angle in the 5, muft be greater then the Safe D F, which is(itbtendedby the lefler Angle in the 6 , which Eu- clide proves in his 24 Proportion of his ftrfl Book, "&nd is demonftrat by Prod us in the Scholium.XS> the 4 th Proporti¬ on of the fame Book. By this is made to appear theprpfitablenefs of a Flat- Coal, beyond a Hinging-Coal , which Was touched before* in regard that having the Sinks of equal deepnetsdn^Soth, there is much more of the F later-Coal to be wrought, ..be¬ fore it Crspp out, then of th tpinging y asthtfefta diffe¬ rence between the lines DF in thefitf^ahd^^rttf fi 4 gfee: ''drf^wterithe'LineJ-IP^bVtlitMe^ * LI If i66 SJBifcellanp iDDfetDattons* If it be enquired, if in rifing grounds, Where there is a considerable afcent above ground, the Coal keeps a propor¬ tion m its Rifing and Difpingmxh the afcent and defcent of the'ground above? Ianfwer, there is no certain and con- Bant proportion kept, whatever fometimes may happen, •Fori haveobferved fome Cods upon grounds of a confide* rablesfcent, and their Dipf run quke-contraiy-to the de¬ fcent of the Hill : and others have had a quite contrary courfe to that, and have declined, or dipped with the de¬ clination of the ground above But in the Stuck ( where* of I (hall fp eak a little hereafterj there is more propor tion ordinarily to be remarked. There remains only one Queftion about the Difps, and lifmgsoi Coals , which I fhall a lhtleconfider,having en¬ countered different judgements .anent it, in converfing with perfons, who had experience in Cod^ viz. whether Coal and other Metals, after they have declined Tuch a length from their Cupp, fuppofe from Weft to Eaf , take another ceurfe , and rifeto the fame point, to which for- ■Hjcriy they dipped 1 Figure ,7. As if the Cm/ dipped from A, which is the Croppy to B, which dhonld be the Ce/iter q{ that Body:, and after that JitetQ C ? Or if it fhould continue its declination thorow gpbfttbation g, icy B to D, which is Antipodes to us ? I fhall not offer to de* cermine in a matter wherein there can be fo little certainty* attained-, but thall give my opinion, which is founded upon the experience I have had, and Obfervations I have had occafion to make on that Head. And firft, I find in allthefecWr, wherein no contrary Cropp or Rifing cm\& be vifible,there are invincible obftru&ions 5 as either, they have been near the Sea , and have dipped that way *, and fo if they took any contrary courje , the cropping behoved to be in the deeps , and fo no accefs to trace them. Or next, they have dipped towards the foot of a Mountain, and fo the ground above rifing the fame way which they declined; their courfe could not be purfued, till a contrary rifing flrouid be difeerned. Or thirdly, they have encountered' fome Gae, or Dyke, which hath cut them off, before they came to their full dipp , and thus their courfe was obftruft- ed. Now, thofe that have been acquainted with no other Coals but fuch, I think it not ftrange, if ic be hard to per* fwade them of thofe things they have not feen. But be- fides- all thofe kinds, I have feen others, whofecontrary rifing and dipping have either been vifible to the eye, or demonftrable by reafon. For example, I have entered underground, as it were at the point C, at the very Grafs- cropp, and have gone following the dipp of that Coal to the point B, at which the courfe hath altered, and carried me out at the Grafs at A, which are two contrary points of the Compafs, And that alteration of courfe was not oc- cafioned by any Gae, or trouble , which fometimes have that effeft, the ground being very clean, and good i/e* tals, keeping their courfe moft regularly, . 'j T here are other inftaftces for confirming my experience, in fields, which are fo large, that ’tis impoffible to.work' LI i the 268 cptfcelianp £)bfcttoattons, the Cod fo far to the Dipp, it falling deep, and fo wants Le- vdio: conveying water from it,or wants Air,for following it to fuch a deepnefs, as to overtake its Center , where it takes a contrary courfe , and yet the contrary Cropp hath been wrought in feveral places, which is evident to be a part of the fame body, with the other, both by the nature of the Cod it fell, by the Mctds lying above it, and the Cods below it, all which keeping the fame Courfe , except when they encounter troubles , which are incident to fome parcels of ground, more than to Others. T he greateft field I know wherein this is conlpicuous, is in CM id- lot hi an where is to be found, the cropping of a Cod of a confide- rable thicknefs, which is termed theh great-(earn ^ or Md si- cod, and the other Cods lying below it, which may be traced in the order, following. At' Pref on-Grange thefe Cods are found dipping to the N W, and rifing to the SE, which have been wrought up to Wall:footd: fiorn that along by the foot of Faufide Hill, the dipp lying in the Linds of Innertsk^ which marches therewith on the North ; From thence it runs through the ground otcarkrry, eve-' ry one of thefe grounds from Prcjfofi-Grange, Giving Le- quite contrary 'to whac it had before, the other Dipping N and N W, ^tfccuat tp Dbfe rftatfong, 169 or N E, according to the turn of the Streep it Dipp f there S, S E, &c. and trotn Gilmrton, it is found at Burnt (lone, a piece of ground belonging to the Earl of Lauderdale: and from thence at the Magdalen Pans, where the turn of the cropp being within the Sea, is not feen, till it be found at Prefton-Grange, where we began to remark its courje, The parcel of ground, under which this great body of Coal lyes, is of a confiderable extent, it being eight miles in length, and five or fix in breadth ; in regard whereof many other Coals are found lying above the greatfW,the cropps where¬ of doth not come near the Cropp of it, by a confiderable diftance. Though this inftance alone, may fufficiently convince, yet I (hall not be unwilling to give another. The parcel of ground, In which this Coal is found, is not of fo great an extent, as the other, and-therefore its.cottrfe may be the more eafily traced. For the greateft-part,-it belongs to the Earl of Winton, and lyes within th t Lordfhtp of Tranent^ whole contrary Cropps, are moft confpicuous, This great Coal, which is io,or i a foot thick (beginning at the head of theTounof Tranent) where it hath been wrought, runs S W towards the march of the Lands of Elphingfton , be¬ longing to the Lord Regifler , dnd continues in that fame courfe, till it come near to the houje, and for the moft part dipping to the S E. And near the Iwtfe, the Cropp is turn¬ ed downward towards the march between RlphingflonznA Ormifton , where the dipp is contrary to the former. And from Elphingfton-mains, it takes its courfe almoft round, through theLands of Panfton , and returns to the Toun of Tranent where it began , which b6dy of Cod will be in length two miles,. .an^hbfopaeplaces,,^sjnifch in breadth. Now,I leave it.t'o %p|eihf|i’t 4 A! 3 V-iftfe&e. ^7° ©ifceuany £>iJf«toatuM£* not more reafon toperfwade, that this fliouid Be the natu¬ ral courts of where fuch pregnable inftan* ces, to evince it, are found; then to conclude the contrary ' from thefe Coals , the course whereof cannot be followed, becaufe of the invincible impediments, I mentioned before. However, I leave every one to be determined, by his own- opinion, and (liall be fatisfied to injoy my own, till thefe of more experience convince me of the contrary. There are fome Other things farder to be remarked a- bout the Bipp , and Rife oiCeds, which ( poffrbly } every one hath notfeen, they being fo very rare , and therefore are not fit here to be palled without being confidered. One is, of a Coat, which having that contrary Bipp and Rijc, (whereof I have been fpeaking) inoneofthec?v/>/>r, hath not come out to the Grafs, and terminat ; but after it hath rtftn a confiderable way in its contrary courfe, in Head of Cropping out, hath taken a Dipp towards the fame point, to which it dipped firft, and fo having dipped ro the Center of its courfe, it hath rifen again, and cropped to the contrary- point, as is-to be feen in this eight Figure. Figure 8. A F B D C Where A B is the furface oftfie‘-Ear tFr. The point B is the Crepp of S Coaldippihgixom N W,to the S E. From C it ipfauan p iDafct bations, 271 C iwakes its rife , and courfe to a contrary Croff, towards •thepoint’F, where the deadCrop? ought tobefound. But io (lead of going that length, it takes another courfe flora the point E pipping S E towards D,from which it takes its ri[ f, and continues it to the point A, where it terminals , and where the dead Cropp is found, I grant, that it meets with a trouble , or Gae\ at the point E, which feemstobe the caufe, why its natural course is changed. Bur its very extraordinary to fee fuch aa effetf. But of this afterwards, in its own pi ice. There is yet another thing toBe remarked, in th tdipps^ and riftngs of Coals , which js this. In the moft part of Coals,fhn have their courfe from dipp to cropp, without the intervention of a djk; or gat, the declination is ftraight down, from the horizontal line drawn from the point of the croppy to the fardeft point of xhtdipp. That is, the Coal dedining.from that point in a right line , .makes with the horizontal line, a right lined angle , angulus reftilineus, though in fome the angle is more acute , and in others lefs, as is to be feen in the fii ft, and lecond figures, where A B being the horizontal Line, and B the cropp y B C is .the body of the Coal declining, which meeting with A'B in.the -point'B, conftitutes a right linedangle,zni where ABC in the fecond figure,is a greater angle, then A'B C in the firft. Yet I have feen a Cod, the body whereof from ditdipp, or fardeft point of decimation, had its rife towards the cropp very infenfibly, it being Flatt, and then began to be.more fenfible,.till at laft coming near to the furface of the Earth, it takes in a fudden fuch a rife ;thzt from dedining one foot of 12 or 14, itdeclinesnowone foot of three, as,may be .made evident from this following Figure, zji £ 0 tCceUaup 3 DDfectoat(ons* Figure 9. Where AB is the Line drawn from the extream points of the Crop?, right horizontal. The body of the Cod rifing infenfibly, is D C. But afFoon as it comes to C, it rifeth with a great afcent till it Cropp out at A, Here you fee, that in ftead of one fide of a Triangle, which the courfe of other Cods in their riftng,oi in their declination makes* this Cod in rifing makes two fides,namely D C, and C A, the Figure DBCA being quadrilateral. The Cod of this courfe was really wroughr,and is yet vifible in its wafte, where there is found no Gae or Dyke to make this alte¬ ration. Thefeare the chief things that I have thought worthy of Observation in the Dipps , and Rifings of Cods, and therefore I come now to touch a little the other part of their courfe, which is commonly termed the Streek of a Cod. To make intelligible to thofe, who are not expe* rimentally. acquainted with Cod, this term, or what the Streekls, wemuftlay this foundation, that the Cod is a Rhpficd Body, and fo hath its three principal dimenfions, which.doconftituteitfo, viz. Longitude, Latitude, and Rrofimditj, Its Latttudef&d&l part contained .between its streamlines,- which is meafurableby its furface, towhich <$MfceIlanp £>bfert>atfott& 2jy its dipping and riftng, though alwayes incident, yet is but accidental. Ics Profunditj is to be meafuredby the di Ranee, between the two iurlaces, immediatly next to it, above and below : which are termed in Co alien its Reef and Pave* ment^ becaufe of the refemblance they have to the Roof^ and Pavement of a houfe. T he Longitude is nothing elfe but what is termed by the Coal-hewers , the Street, For if you imagine a Line drawn along the extream points of the Rife , or Cropp of the Cm/, t ^ at is properly the Street of the Cm/„ There are but few things to be remarked, as to this part of Coal: only firft to find how it lyes, to what points of the Compafs it moves. For knowing whereof, there is this general Rule, that, having found your Dipp and Rife , to what ever Points that C ourfe is dire&ed, the Street is to the quite contrary. For fuppofing a Coal Dipp SE, the two points* that refpeft the Dipp- and Rife, muft be SB, andNW, being the points oppofite one to ano¬ ther. Then it muft needs follow, that the Street muft run S W, and N E, which two eourfes divides the Cora- pafs, at right Angles. And therefore, where a Coal is found to have contrary Dipps, and Riftngs, they declin¬ ing fometimes to all the Points of the Compafs fwhereof there hath been given two notable inftances before) it muft needs follow, that there be alfo contrary Streeks* andfo the Street of a Body ofC oal is fometimes found to deferibe a round figure, though not perfe&Iy circular, and fomtimes a multangular figure. For it cannot be fuppofed chat the Street makes alwayes a right Line,between the two points, from which it is reckoned. For example, between the Laird of tref on-grange his houfe at Prefton■ pans , and the Stob-hilfthere are the Streets of feveral Coals Jying one a- M m bove 274 30 ifceltanp ^Dfefecfcaaons* bove another,which will be Of length, about feven or eight miles, lying near upon S W, and N E 5 yet the Crtfpt of the faid Ceils (their dipp, and rife, being N W, and S E) are fometimesfarder advanced towards the S E, fotnetimeS farder back towards the N W, by the difference of a mile, and this generally occafioned by the encounter of a Dyke or Gae, whereof hereafter. The fame quefhon, that occurred in the C oils dipping towards a Hill, or riftng above ground, comes to be in¬ quired into here 5 viz. If a Coal encountering an alcent, or Bra1 above giound in its Streek , rifes alfo with the ground, and keeps itsafcent? I anfwer, I have found it fo in all the C oils I h.:ve ever feen of that nature. GOD in his providence, having fo ordered it, that thereby it may be the more ufeful,m regard more thereof may be wrought by one Level or Aquaducl, by which the Water is convey¬ ed away, as afterwards will be obferved in fpeakingto Le¬ vels. For confirmation whereof, I fhall bring inftances both of Coals, that declines towards the Hill, and of others that declines with the fame dipp , the Hill hath it felf. In iheCw/f of Bonhard , Grange, Kinglaffy, and Kinnetl , which keep all one general courfe, the afcent aboveground is from the Sea, (which lyesNo: th^ towards the South, or thereabout; the Coal dipps or declines towards the N W, and fo confequently rifes to the S E. The Streek of thefe Coals, is from the N E to S W,which flops alongs t,he Hill, and comes Hp to the top thereof to the Wefr- ward of the Houfe of Bonhard, Now, in finking in that ground, if an equal proportion be kept, in all the Sinks ■from the Cr/pp, and a juft allowance given for the different B'.ftrg above ground, the Sir.ks will be near of an equal deepaeisalong, all the Streek, So that a Sink upon the fame ^tfceliatip £H>rch)at(oti0, 27* fame Coal near to the Sea, which is the N E point of the Streek, at equal diftance from the C ropp, will be as deep as a Sink upon the top of the Hill, being the S W point of the Streek u the fame diftance from the Croppy allowing alwayes the different rife above ground, and excepting fome particular troubles falling in upon the Metals of orie Sink, and not of another, and fo making them dipp more, which will occafion a difference of the deepnefs. The fame is alfo found in the Cedis of Djfart , and Weems . As alfo in that great body of Coal before mentioned, between Prefl on-grange and Stobhill , the declination whereof' is to the N E, which is alfo the courfe of the defcent above giound. Another inftance is from the Coals within the Lordfhip of Tranent , the dipp whereof is of another courfe , being contrary to the defcent of the Hill, viz. the Coal dipping to the SE, and confequently the Streektunning S Wj and N E, where the fame is to be obferved that was feet| in the other, anent the equality- of the deepnefs of-S/frfo along the Streek, with the fame allowances, and exceptions before mentioned. Some have been of opinion that- St reeks ofCoat's lyge* nerally South and North, or to fomeof the points near to thefe two Cardinal ones, between South and S W, and North and N E, as South and by Weft, and North and by Eaft,- &c. To which general; Icannot agree-, in re* gard of wharl have, before-made-evidently appear, that fome. Coals have xhelxcroppbgs to wards ailthepointS of the Compafs, and the Streeks being regulated by the Crapp, they muft rieceflar ily be'judged to have their conrfes proportioned to theirs / fo that ifa C odl dippxo the- true!: Norths andri/tto the South, the street muft be Eaft, ancE - Mm z Weft, *7 6 ^ifceuanp Dbfer&atiDtis* Weft. -However, I acknowledge two things, for con- arming that opinion. Eirft, that of all the Cods I ever have feen, where thefe contrary dipps and rifi.igs, could not be traced, and made vifible,theSre«£ hath inclined to thofe points of South and -North. Bur I muft alfo confefs, that they are but few I have feen, in refpeft of what I have not feen, and fo if any others experience, who have feen more, contradid mine, 1 iball willingly yeeld, and not be tenacious. Next, in thefe Cods, which I infhnced,that have their Crcpp to all the Points,and confequently their Streets,mi in others of the fame nature,which I have feen, and not in¬ stanced, I found that part of the Street, which lyes towards thefe Cardind points, to be the greateft, being double, or triple to the other Sreeks in length. So that when the Sto ok, .that'Iyes-either alongthe one-C ropp, or the other, towards the S W, and N B, will be feven miles in length, that lying S E, and N W, will be but four, and fometimes iefs. And this is all the account I can give, of that part of Coal, -called the Street. Thefecond-thing l promired to fpeak of, was of fome things, which are but accidental to Cods, and yet fo or¬ dinary, that hardly are any found without them in lefler, or greater degree, fuch are G tie’s, and Djkes, which alters their natural courfe, andthey being-theoccafion of fo much Trouble, in the working of Cod, and following its courfe, the Cod-hewers call them ordinarily by-that name7 "rouble. This Trouble or Gae then,is a Body of Metd falling in upon ! the coarfe of-the Cod, or Freerflone, obftru&ing, or al¬ tering their-kindly and natural courfe, keeping no regular mrfe it felf, and being of nature alwayes different from the iMetal, -whole mrfe it interrupts. And thefe Goes dif- tiijiffciia np Dbfctaatlon s, 177 fer alfo among themfelves, in their nature, and in their ■com ft they keep: or more properly in the way wherein 'they encounter other Metafs, and in their effects. In ,their nature, for fome of them confifts of- an impregnable Whin-Rcck y or Flirty-Stout, thorow which it is almoft impoflible to work: and if there be a neceflity to cut them thorow, it is done at a vaft expence, and taices a long time, and muft be cut open to thefurfaceof the earth, it being -impoflible to Mine it under ground. Some of them are again of Store , -like a Free-(lore, but feems rather an abor¬ tive of nature, they having no rule in their courfe,by which a man can-follow them, norcantheirftonebeufeful. In their encountering of Coals, or Free-(tore , fome- times they encounter them in the Dip , and fometimes in •the Strcek, and fometimes between tne two. Thefe that are met with in following the Dipp of the Coal, ly along ithe Streek thereof. For example, if the Coal Dipp SE, the Gee lies N E, and S W. Thefe that are encountered 'in the Street,lyes to the Z)//>pand Rife .-.fo theC oal Streei- ' ing N E, and S W, the Cat isfound to.ly S E, and N W. •Others of them, lyes between Sireehnd Dipip, that is to fome point between the two: as the Strttk being SW1, and 'N E, and the Dipp and Rift S ; E, and N W, there •may be a Cat found lying W S W, and E N E. Now, fwhenl fpeak of a Gats lying to fuch Points of the Com- pafs, this doth not contradict what was faid before, that rthey had no regular, mr/e themfelves. My meaningbe- ing, that though they have a certain length, lying between -twopoints, and a thicknefs between two.Me/ 4 ///., yet by -the Metal of the Gae it felf, it is impofltbleto know its ■courfe, as it is in other Met alls of Coal or Fret-font )Ttfhofe ■courfes are difcernable at the fir ft view, Their. v7% q3tfcellanp Dbfcrbations. .Their e.ffedls. are different, a? their nature, and ccurfe are different: only they agree, in thefe two generals. Firft, that all of them renders that part of the C od, that comes neareft to them, unprofitable and ufelefs,though idmelefs, and fome more, they being unfit for burning. And it is remarked, that thefe Gaes that confifk of Whin-rock, ren¬ ders the Cod next to it,, as if it were already burnt, being fo dried, that it moulders in handling it. In others, the Gw/is not altogether fo ill, and yet its nature is altered, from what it is at a diftance from the Gat. The next ge¬ neral is, that all of them alters the natural course of the Cod in Iefs or more, fome of them making it Diff much more then its ordinary ccurfe , which they call Down-gaes: Some again making their rife much more than their coarfe, which they call Up-gats. Others making an alteration as to the Streek, caufing it go outbeyond its ordinary bounds, as we obferved before in that great Streek of Cod between Trepan-Grange and StobhiU. Now it is to be confidered, that when in Working of a CM/,whethertothe Vipp,oi Rife, or Streek, one. of thefe Gats is encountered with, the Cod is quite cut offj and as it were ttrminat : fo that you fee nothing where the. Cod fhouldbe, but either a Stone, or clay, orrotten T///, or fome ftrch thing. And the pradtique of C odlery is to trace the coarfe of the Cm/ through that, till you overtake.it in the other fide. And before.any thing be/aid, to. that,part, you muft notice, that : fome Gaes are of greater, force than b.thers, and tKeir influence upon the courfe of other Me- tails greater, whence you /hall fee a threefold effedt. One is r that by fome,great Gaes, which a Cod meets with, it is quite cutoff,, fa that in the other fide thereof, there.is not a veftige of that Cm/,, or of any other Metal that was above {©tfcciiatip i0bfcct)attons f 179 aboveit', or below it, to be (een. And if there be ary other Coal, as fometimes there are, they are quite diffe¬ rent from them of the other fide. I faid by feme , becaufe there is one inftaiice to the contrary, which is fomewhat ftngular. In the Earl of Wintons ground at Cockeny, there is found a cottrfe of Coals and Free-flone, tiffin? to the S E in the Links *, and upon th tfull-fea-mark, there is a traff or courfe of Whin-rocks lying E and W, underneath which thefe Cm// and Stones comes thorow without alte¬ ration of courfe, and are found within the Sea-mark, with the (meDipp and Rife upon the North fide, they had upon the South fide of the faid Rocks : 2 nd yet the Coal is ^ encountered upon the South hand by a Gae under ground, through which it paffeth, not without a confiderable alte¬ ration. The greateft of thefe Goes, that I know, is that which takes its beginning, that we fee on Land, at the Harbour of the fans , called Achifons-Havtn, which hathbeen cut by Pre[Ion-Grange, to Level to his Coal , and goes from that to Seton , which may be traced above ground, almoft the whole way 5 and hathbeen cut at Seton , for feiving the Level-oi that Coal now wrought at Tranent, FrOflJ thence it paffeth through the fields Of Lon*-Niddrj,z place pertaining to the Earl of Winton , and through the Coats, which pertains to the Earl of Hadinpon , till it joyn with fancrtck-hills, a trad ofRocky Mountains,"from whence it is traceable to Liriton-bridges, where it is vrfible ift the' Water, the Water -ol Ty» falling over it, and makings Lin, which they call Linton-Lin-, from thence to the Baft-fed. And it is known by Sea-men, that it keeps* courfe thorow the Firth from Achifons+haven), fwheacb we teokoned its beginning upon Land) towaidstheWeft. is© ©ifccitanp £>bfctfcattons* 2 aa N W, it being found to the Southward of Inch-keith, 2 ad before Leitb, where ftanda a Beacon, and fo can be traced to the North Shore, The fecond effeff of Gaes, is to cat off the C eal quite, as to a part of the field, fo that in the other fide, having pierced the ( 7 *?, you Ihall not find the Coal, and poflibly not Within a quarter of a mile of the Gat, which cuts it off, and at that place (hall only find the C repp and the Body Dipping,zs it did before it was cut offhand it you (hall mea- fure between that fide of the Gas, where you loft your Cm/ (I fuppofe the Coal then being 24 fathom from the Grafs) to the place where the Coal in the other fide of the Gae Ihall be found at the fame deepnefs, it will be near 500 paces. For making this more intelligible, let us fuppofe a Coal Dipping SR, and in working to the Dipp, there is a Gas encountered with (This was really done in a piece of ground I know,and fo ic is no meer fuppoficion)at which Gae the Coal is cut off ; for finding whereof the Gac is pier¬ ced, and nothing found in the other fide, viz. in the SB fide of the Gae, but at more than 100 paces diftant, the Crop of a Coal , which lyes under the Coal, chat was loft, was found, after which it was eafie to find the other. Now, that it was the fame C eal, thatwasloft, upon the North fide of the Gae, is not only evident, by the kind of Coal, and ail the Metals above, and below keeping the fame cmrfe, but by this, that the Gae wearing out towards the Weft, the two parts of the Coal that was feparated by it, joynes themfdves again, and continues in one body, as they were before reparation. , The laft effeft of the 'Gae is, that it doth not quite cut off the Coal from the other fide of it, but makes an altera¬ tion m the courfe, either in the Dipp, or in the Rife, or Street, SMccUanp CWemttons, 281 Streek, as was before noted: fo that in meeting vvith: one 'of thefe Gats, having confidered its nature,and pierced it, the Coal will be found in the other fide,immediatiy touch¬ ing the Gae, but with an alteration of courfe. Now, in thefe two laft effects, fince the C gal is not totally cut off, it will be worth the inquiry, to find the fureft way of re¬ covering the Coal after it is loft. Therefore, where the Coal is not cut off, by a confiderable diftance, and having pierced the Cat, it is not to be found in the other fide, ‘ you are to confiderwell the nature of the Metals you find approach to the tar,and if they be fuch,whether Stoat, or Coal, as you know to ly under the Coal that you have loft, then you may be fure the Coal is to be found above in its cottrfe, which is to be traced by the Dipp of the Metals you find. Asfometimes I havefeen, when a Coal hath been cut off by a Gae, happly there is another Coal under it 12 fathom, after the Gae hath been pierced, and the loft Coal not coming near to it in the other fide, that hath been found there, by which it was certainly concluded, that the uppermoft Coal behoved to be there alfo, though a little back, conform to its courje. But, if the Metals or Coals , • under the loft Coal , hath not been known, then you are to take notice of the Dipp and Rife of thefe Metals , you find on the other fide of the Gae , which you have pierced, and making that your rule, range back over the Metals, con¬ form to the direction to be given afterwards,, and you (hall find the Cropp of the Coal you want, and . after which you were inquiring. Where the Coal is not quite cut off by the ,but hath , its cottrfe only altered, you are to confider, in learching for , it, belore you pierce your Gae , that which the Coal-hcw - j vs term the Vt[e , or fome of them the Wejft of the Gae, ; N n which : i8i ffiiftcuanp ffiblttbati ons, Which in effea is nothing eHe, but a dark veftige of the Dipp or Rife, that the body which now conftitutes the 'Cde, fhould have hadnatmally, if it had been perfe&ed- which when it tends downward, then mud the Gae be put over that way,and in the other fide (hall the C oal be found, and Xfonw, a s they term it •, that is, the Dipp which it had fiaturally, augmented. And, if th tvife be Up , the fame Way nraft be taken for piercing the Gae, and the Coal will be found Wp, that is, its Rife augmented. But thefe things cannot be made fo intelligible, as by feeing, there being many things in the alteration of the cotirfe of Metals very curious, and worthy of Obfervation .• as when a Cod is eaft down out of its natural courfe by a Gae , and fo made fometlmes under-Lev el, it rifeth as much to another hand, and the Cropps go fo much farder out, which (till makes the Level afeful, the ufe whereof would have been judged loft by the doan-cafling, Sometimes a Coal made to havedour contrary courfcz, as is evident from the eighth Figure, where there being a Gae at E, makes it take fuch another mrfe , in Head of coming out to the grafs, Sometimes, before the Metals overtake the Gae, they are made to ly like a Rom-, one inftance whereof is vifible above ground in fome Metals lying between Bruntiland and Kinghurn, at a place called the iMiln-ftone, where there is a fmall Coal with Free-flow above it, all Dipping to the S E, and Ri- fingi o the N W. Upon the Rife they meet with a gae, which is a great whin-rock. In their courfe to th t grafs, before they touch the faid Rock , they tike a contrary courfe, and cliffs into it, and are there-quite cut off. The manner whereof is to be feen in this tenth Figure follow¬ ing aptfcetlatip aDblettmtlons. iSj figure ip. A D J* ■■ ' - Where A B. is the Reek ; E F the Coal: G D the -ireOik fiene. Now, whereas they fhould have rifen towards A, they turn at D, and diffs into the Rock, which any may obferve in palling that way. Many other fuch motions are obfervable, which I pafs, and leaves them to the obser¬ vation of the curious. ' The third thing I promifed to fpeak of, was of Damp', and as they are termed by the Coal-heivers, Iff Air, Thefe dodeferve a more accurat inquiry into their kinds, their taufes, and effetfs-, then I am capable to make, there-be¬ ing many things in them very confiderable, and ^worthy of u narrow fearch: therefore following the courfe I hate hitherto obferved,Ifhall fhewrhy own Observations there¬ of, and leave the more curious fearch to the fpirits fitted for thatpurpofe. > ’ - ■' 1 r T his Damf then makes an obfitruflioii of refpiration in Men,, or other living Creatures, ‘in Subterraneous fpaces, as Caves', Coal rooms, Levels , Sinks, and fuck like 5 which obftrudion proceeds principally from two.caofes, both which goes under the name of iff Air, among the vul¬ gar. The -firft is the corruption , or putrefa&ion bfthe Air, whereof there are two forts 5 one is in placeswhere Nn 2 hath 184 ®rtcel lanpa?ttfcmtions. hath been fre kindled,which burns the Coal under ground, the fmoke whereof, being full of Sulphur, and other Bi¬ tuminous matter, and not having free paffage to come a- bove ground, filleth all the wafte Rooms under ground, and infers the Air fo, that the fmellofit, even at a difhnce, is intolerable, and amongft it no living Creature is able to breath. Of this there are examples in Djfert in Fife, and Fiufde in Eaft- Lothian . This was kindled ondefign by a Fellbtv, who for his pains was hanged in the place, and hath burnt thefe 50 years, and more, the /fre whereof is ibmetimesfeen near the grafs, with abundance of fmoke, 5S it runs from one place to another. The fecond, where the Air is corrupted without the mixture of fmoke, orany other grofs corrupting body, which is the moft confide- jable-of z\\ Damps, and hath the ftrangeft effefts, in kil¬ ling Animals in an inftant, and fo hath been alwayes moft .prejudicial in the works, where it is found, many perfons having thereby loft their lives, without accefs to cry but •once Gods mercy , to fome inftances whereof I have been witnefs. I fhill not offer to determine about the caufe of this Damp, but (ball give an account of fomethings I have ebferved about it, which when duely pondered, may hap* ly lay a foundation, at lead of a probable conje&ure, whence it may proceed* This kind of Damp then, and ill Air , is never found in Coal, or other Metals, where there is Water to be found-, I mean., whence the Water hath not been drawn away by a L'vel, or Aqua-duel : as in Coals, where th€fe is a ne- oefiicy to lave the Water from place to place, or to pump .. it atar^the atcent or rife of the Coal , to the bottom of the Sink, f r om which k is drawn out above ground, this ill ■dir is so; found. Nor is found frequently, if at all, in ipfcelianp iUMctbattans. igV thefe Coals where the Water is drawn from the Coal by a Level , or Aqu&-dutt under groundsill it come of its own accord to the bottom of a Sink, which is in place of a Ci- fiern, out of which it is forced alfo aboveground, and dif¬ fers only from the other, that the Water* runs here of its own accord by a defeent to the Sink , which is termed a drawing Sink : in the other it muft be forced by the Rife of the Coal-, becaufe happly, a Sink upon the nipp would be of fuch a dtcpntfs, that no force could draw it up in a per¬ pendicular. Buc this kind of Damp is found ordinarily in thefe Coals from which the Water is drawn by a Level, the begin¬ ning or mouth whereof is above ground, and carried along by a right Line under ground, till it overtake the Coal , which it is to dry: fo that the Water which comes from theCW, runs without being forced, and is fometimes fo confiderable, that it makes Mills go, without any other addition, as is to be feen in the Earl of Wintons Lands of Seton, where four bfcrtiattoiis. 187 pi[andble a fo that when any Animal is neceifitat tQ draw it, a'nd retire by it, itchoaks them on a hidden, juft #s ftanding Water, which being withoutmotion corrupts, .and becomes poifonable, though haply not' in fo great a degree as the Air : the Air, being a body much ,finer and purer, than Water, that holding good m it, corruftio tytim pesfma. This is much confirmed by what is before nfferted, that in the cW*,whence the Water is drawn, and they drained, but not by frte-courfe, but by Force, as Tumping, and drawing by buckets, thefe Damps are feldom or never found: becaufe the paffage of the Water being forced, it does-noc fo fuddenly dry the the other, whereby there is alwayes left in thefe Spaces fome Water, which being it felf in motion, keeps the ^Air alfo in mo¬ tion with it, and thereby the Mr is kept from corruption, at leaft in fuch a degree, as it is in the other. Hence we find, that in thefe kinds of Coals , the Rooms under-ground are alwayes wet, or for the moft part they are fo: -whereas in the other, there will be no Water found .to vvafli a mans hands:. and fomerimes the Coal through want of Water, becomes fo dry, that it cannot be wrought,in great pieces, as others, but crufhes in the very working, and .when wrought, is rendered ufelefs, and will not at all burn. This pats me in mind of a very pleafant conception of a worthy and learned Perfon, Dodtor George Hepburn of Monk-ridgepwlth whom! had occafion oneday todifeourfe on this Subjeft, 1 He is of opinion that the Water is the Mother of the cW, whereby it is preferved frefb, and in- corrupted, and that whentne Water is drawnoff, and this Damp follows,. it is not the Air, which..fuccpeds in place of the Water, and is corrupted for want of motion, that oc* ■cafions it, But as we fee, when the corruption of a Li- . quor is s Sgnfcettanp Dbfettoattons* quo: within a Veffel, when the Mother is gone, corrupts the Veffel it felf, and occafions an ill lavour or tafte in the Veffel; fo that the Coal being corrupted by the want of its Mother , the Water - corrupts the Air in the fubterrane- ons St/aces, as in Coal-Mines, Sinks, Caves , and other fuch like. He had likewife another pieafant conception about the generation of Coal , judging it to be formed gradually out of another Metal, as of Till, by the help of Water, of which he himfelf may perhaps give an account,And though I be not of his opinion in that matter, yet I muff acknow¬ ledge, I was taken with it, and (hall be glad to fee a more full account of it from him, than he had accefs to do in the (hort conference we had. The effefts of this Vamp are fuff, it hinders the burning of all combuftible matter, as Candle , Coal , Pitch, Sul¬ phur, &c. fo that if you take a Torch lighted, and let it down to a Sink , where the III Air is prevalent in the time, it (hall flraightway extinguifh it. Or take a Coal , which is burning, and let it down, it (hall no: only extinguifh the Flame , but (hall make the Coal in an inftant dead, and as cold as never heat had been in it. But the mod dangerous effect is, its killing of living Creatures, avhereby many perfons have been fuddenly killed. Some in going down to a Sink, where it hath been powerful, have fallen out of the Rope, and perilhed. Others have been choaked, and yet have gotten out by the help of others in a fudden, and have remained a confiderable time without the lead ap¬ pearance ol life, but yet have at laft recovered. Yet it hath been obferved, that fome of thefe perfons that have been fo (truck with the Vamp , and recovered, have had slwayesfome lightnefs of Brain thereafter, and never fo ' fettled as formerly. This I know to have happened to one, whom I have feen fo, many times thereafter. What ^ifceiianp Obfctfcatfons. 289 What hath been itseffeds on fome Animals, whereof you have made Experiment,. Heave to the account you have given, One thing I ftiall only mention, which to me Teems fomewhat ftrange,rhat notwithftanding thefe Damps are fo effedual, and caufeth fo fuddenly the death of Ani- mats, yet the Ratts, which are in Tome of thefe places, where the Damps are moft violent, are not reached by them, Forfomecimes, when they are To powerful, that nothing that lives can enter under ground, withoutfudden death, yet they continue there, and are notiound to ditni- nifh, even where they have no accefs to cfcape, by com-> ing above ground. Or if it fhould be imagined, they re¬ moved to fome other place of the ground,where the Damp is not, how is it, they are not as quickly choaked with it, as Dogs are, and other Animals y . which at the firft en¬ counter are killed * If it be inquired*, how comes it to pafs, that in thefe Fields of Coals , which are dryed fully (aswasfaid) and to which thefe Damps are incident, baeaufe of corrupted Air that remains within the Body of the Cod , or other UHetals y how comes it to pafs fl fayj that they are but fometiraes incident, and are not alwayes found f For clear, ing this, it is certain, that even in the grounds, where thefe Damps are moft frequent, for the reafons above* men¬ tioned, yet they are only powerful when, the Wind blows from fuch a certain as fome Chimneys, that do only fmoke, when the Wind is in.fuch an Airth. This is foge- nerally, and well known;, that the Work-men obferve it, and when they find the Wind itvfuch a Point, whence they fear the Damp , they will not enter under ground, till tri¬ al be made of the Air, which they do in Sinks } by firft let- Qo ting 290 £ptfceUanp£>bfet&ae!ons, ting down a lighted Candle, or fome burning coals : which if they do not burn, then there is no accefs to enter. Secondly,the wind in which this III Air is moft noxious, and hurtful, blows from that Point, where the Field of Coal lyes, that’s not yet wrought, which feems fomewhat flrange, and yet when duely confidered, it will appear a- bundanrly confonant to reafon. An example of this is to be found in the Cod of Tranent and Elpbingflon, the Streek whereof goes to the rife of the Hill aboveground, from N E to S W> as hath been formerly obferved. So that the beginningof'their is at the NE point of the Streep from which t he Cod hath been wrought up along the Streek towards the S W, the IVajles lying all towards . the N E. Yet when the Wind blows from N E, or N, or ahnoft from any other Point of the Compafs,-they are not troubled with this Damp. But if it blow from S W, and blow hard, they are in hazard to encounter it/ And though the Damp is not alwayes found when that Wind blows fwhereof is the more repelled and driven back, but the more oblique it be, as are the Winds from thefe Points, that are neareft: to S W, the l Air is not fo good and free: which difference is known by the burning oi Candles, they burning with greater difficulty in thefe Winds, than in others, which blow from thefe Points neareft to N, and N E. Some are of opinion, this III Air (in thofe places we have been fpeaking of) comes from the great Wajks, that Iy above the un-wrought Coal , and by ftrong S W Winds is driven thorow the Cutters thereof. Or the Wind blowing from that Point, and coming thorow thefe Cutters, brings the corrupted Air alongs with it, even as,, after a ftiowr of Rain, a fpait of Water comes, and carries alongs with it, both the foul Water and the clean,it meetS; with. Though this may be probable, which feems to be your ownopini. on, yet the other feems to be more probable. The other fort of Damp, is that which they call want of Air 5 and though the term be not altogether proper (there being no fpace without fome Air) yet there is a want of Air, which is fufficient for refpiration of Animals, or for • the burning of fire. This is ordinarily found in the run¬ ning of Mines under ground, for conveying of Water from Coal, or other Metals,or in the wafirRooms of Coals, where Oo 2 the i91 ^tfcelianp £>bfectmt(ons, thi'Sinh are very deep, and to evite the charge thereof, there is fome necefficv to work as founder ground for win¬ ning of Cm/, as ispoflible, without new Sinks. The caufe feems to be, that the Air under ground, in fuch cafes, wants communication with the Air above ground, becaufe it is found, that by giving more communication, the evil is cured. Whence comes the neceflity o {-^Air-holes in Levels , which are fo many Sinks fet down, for no other ufe, but for giving Air to the Workers. Some are of opi¬ nion, that this deTe& might be fupplied by the blowing of Bellows, from above ground, thiough a Stroop of Lea¬ ther, or offome other thing, which muft run along to the end of the Level Jor keeping the Air there in motion. But I have-not yet heard, that it hath been made practicable. The effeds of this L'amp are not fo dangerous, as thefe of the other, 'Tis true, it will kill Animals, and extin- guifh burning Coals and Candles , but not fo fuddenly as the former 5 and fo people are not fo readily furprized by it. The other feemsto kill by feme poifonous quality: in this Animals dies "for want of fufficient Air for refptration. Therefore in advancing in a Cod Roomer Zew/wherethis is, you fhall fee the flame of the Candle grow lefs and'lefs by degrees, till at laft it be totally extinguiflied, and the perion entering, fhall find the difficulty of breathing grow greater, as he advanceth forward, till at laft he cannot breath at all. Hence it is, that few or none are killed by this kind of DamK and all its prejudice is, that it rendeis the work more chargeable, when there is a neceflity to remove it. •For that, which they call Wild-fire, it being a thing not incident, but to very few Coals, is lefs known, than any $fohe reft of the-accideats that follows Cods. The.ac- £ounc ifiiccilanp Obfetbatfotts. 19 j count T’have beard of it, is, that in fome Coals, which naturally are full of oil, and that are (as they call them ) fatt Cods, there is a certain Fire, which is as a Meteor and i judge, that from its refemblance to Ignis fatuus, which the Vulgar termeth wild fire, it'hath the fame name. It feems to be compofed of fome fatt oily vapour, that goeth outofthe Cod, the Pores thereof being once opened,which is kindled after the fame manner,as thofe J fires above Ground are, which are moft ordinarily found in fatt, and marnfli ground.Of this fire it isreported,that in theday time while the Work men,are working in the Cod-roomes,\ t comes to no height, though it be fometimes feen inlittleholesof the 'Cod-mil, flrining like kindled fulphure,but without force: butwhen the Work-men are ©nee removed, and have flayed out all night, it gathers to fuch a ftrength, that at its firft encountering with fire, which the Cod-hewers are neceffi. ■tare to have., by taking in of light, it breaks out with fuch a violence, that it kills any perfon, it finds in its way. The reafon, why it is without this force, while the Work¬ men are in the place, feems to be this, -that they- working With fuch violence, and motion.as they do, do certainly move the Air confiderably, it being contained in fo narrow a place, as a Coal-room. And this Air being violented by motion, moves that oily vapour, whereof the fire is formed fo that it gets nor liberty to unit irfelf, being diflipaced by the motion of the Air. But fo foon, as the Air is ftill and quiet, after the Work-menare gpne home, it unift it felf, and ga the! s force, and therefore, fo foon, as it meets with-fire, which is more forcible, than-the'flame that is kindled'in it, it rarifieth-, the fulphurious parts being kind¬ led, andforceth it felf out, as powder out of a Gun. For at hath kenobfervedj that if any perfon % in the Cod- i9+ ©tfceuanp ©ofectattons. fink while it breaks within the Coal-room, they are in dan¬ ger of being killed. T he ordinary way by which the hurt of it is prevented, is by aperfon that enters, before the Work-m:n, who being covered with wet jack-cloath, when he comes near the Cod-wall, where the Fire is feared, he creepeth on his belly, with a long Poll before him, with a lighted candle on the end thereof, with whofe flame the Wild-fro meeting, breaketh with violence, and' running alongs them/, goeth out with anoife, at the mouth of the 'sink, the perfon that gave fire, having efcaped, by creeping on the ground, and keeping his faceclofe to it, till it be over-paffed, which is in a moment. The place, where this was moft known, was in a Coal be-w eft Leith, in a piece of Land called ffWy, which for want of Level , and the violence oi that Fire , the Owners were forced to abandon. I come now to the laft part, which I promifed to fpeak of namely of the beft way for trying of grounds, to find Cod, where never any hath hitherto been aifeovered, and of carrying on of Levels , for draining the Water of Cods and making it workable. As to the fir ft part, there are but three wayes, Firft by finking, which is moft charge¬ able, in regard, that in fuch grounds, where the Metals are all intire, Water abounds, and this doth not only bring the Mafier under a neceflityof great expence for drawing the Water, but alfo rendereth it impoflible to get finked toanydeepnefs, which may fuffice, for giving an account of all the Metds to be found, within the field, that may be rendred workable. There was afecondway invented to fupply this defed, which is by boaring, with an inftru- ment made of feveral Rods of Iron, which boareth thorow the Metals, and tryes them. This way in my opinion, is worfe ^ifceiump ^Dbfetfcations. 19$ worfe then the former. For firft, if the Coal Iy deep, in the place where you try by boaring, it becomes almoft as tedious, and expenfive, as Jinking , the drawing of the Rodes, confomingfo much time, in regard it muft be fre* quently done. Next, In haring, fuppofethe nature of the Metals , be found, yet thereby their conrfe cat! never be known, till they be finked, which is one of the things moftconfiderableirtchefearchof aC pal, becaufe thereby is known, whether it be workable, with advantage or hot, .and whether it be poflibleto draw Water from it by a Level, or otherwife. Laftly, this way leaves the Mafler at an uncertainty (notwithftanding the Coal had been found ) of its goodnefs , as to its nature, and as to its thicknefs, As to its goodnefs, becaufe all that is found of the Coal, by this haring inftrumnt, is fome fmall drofs, which remains after the wafhing of the thing that’s brought up in the., n fumble, by which none can judgeof its goodnefs, or bad* nefs. As to its thicknefs, becaufe it is impoflible to difcertt exactly, when the boaring-infrumenthuh pafTed the Coal.: all the rule for trying thereof, being the kind of Metalthit is brought up in th emmble. Now, I have known in my experience a Coal hared, which the Roarer by that rule hath judged four foot in thicknefs, yet when it came to be finked, hath not proven one. Thereafon whereof, is ob¬ vious, becaufe the haring-ims, being long, and weigh* ty in lifting them up, and down, they break the Cm/, already pierced *. and this falling down among the Metals^ they are piercing, and being found in the mmble With them (efpecially when the Metal under the Coal, is a black till) gives ground to imagine, that all that time, they have been peircing a Coal, and foCOflfcquendy, the Coal muft be offucha thicknefs. 296 spfccUanp £>&fert>atton0* Thelaft, and beft way of trial, is that which is termed an Tanging over the Metals, For doing whereof, this me¬ thod, is to be obferved. Suppofe there be any place with¬ in the ground to be fearched, where the courfe of Metals can be feen, as in the banks of a River , or Rivalet , .or Sea- banks, when the place is near the Sea, then confideration muft-be had how far the loweft of thefe Metals, can go be¬ fore they Crop out to the Grafs, which will be known by obfervingthe Dipp or declination of the Metals, and the Rijeoi the ground above, whereof a juft allowance muft be given, and having digged before the faid Crop , you- fhali certainly find, the Metal, that is next under it, and if that prove not Cod, keeping the former proportion, you rauft advance, and digg before its Crop , and fo fliali you find, thenext Metal under it, and fo ftill, till you have tried your ground, and found the Crop of all your Metals within it. But if there be no Water-banks, or fuck like, to give you the firft view, of the courfe of your Me¬ tals, then muft you fink firft at random,- and having once paft the C lap, you will readily overtake fome eJMetals,. whereby you will know the courfe of the reft, and having once found the Dipp and Rife, you muft follow the me¬ thod of rangingil^iy preferred,except the ground fo to be tried contains notwithin it felf the Crops of the Metals, the body whereof lies in it, whether of Coal, or Stone, in that cafe, there is no way to try, but by finking, or boar¬ ing. The way of ranging is confpicuous m the following figure. figure SPifcellattp jDbfctbations. 197 figure 1i, P 0 K L M N F G H J I The piece of ground to be tried, is P N, where there are (evera\ Seams oi Metals, that Crepps out at the Points K L M N. Suppofe the loweft to be the Cm/, viz, IN* for which you are to make trial. You Bigg firft at K, without the Crop? of the Seam FK, and you ^/g- till you find the other Seam of Stone G L, at the Point C. Fol¬ lowing the Rule before given, yon.advance.before! ts croppy znddiggs at L, and-findsthe other Seam oi Stone -H M, at the. point .D .• from which you alfo advance, and diggs be¬ fore its crop? , at the point M, and finds your Coal at the point E. But, if by advancing over the croPps ofthefe . Metals^ which comes out from under one another, you find no Cm/; then you are to range backward, for the crepps of Metals lying above thefe, wherehaply the Coat maybe, as at 0, and.P, This in my opinion, is themoft certain and exaft way of trying Fields for Coalgox any other Metal of that nature, and leaft chargeable of all others. The fecond of this laft part, I promifed to fpeak of, was in order to Levels, or Cod- Mine s^ which are nothing ;«1fe, but Conduits or Gutters made under ground, for con¬ veying of the Water from the Coal, and fo rendering it 1 : Pp ' work- 298 SgifceUattp ©bftrfcatfcms, workable. It Teems that a very little time before this, that way of Minting under ground hath not been fallen upon. For thdre are T to be found Coals tvafted in their Cropps onlyJ 5 fpr conveying the Water whereof,they have made aC onduit, ''in Level, which, hath been open to the Surface , like a great pitch r fame whereof have been ten or twelve fathom in'their deepnefs. The beginning of th e Level (to keep the term ufed) muTt alwayesbeat theloweft part of the Field, where the Cod lyes to be dryed. Some whereof, by the rifing of the ground, and the Streek of the Cod rifing that way ( as we fhew before) gives the advantage of a Free ZfW, that is, when the Water comes above ground of its own accord, without being forced by drawing. In others; there is a neceifity of Engines to draw the Water from the loweft part of the Level, and bring it above ground $ which En¬ gines are of feveral Torts, As when mtn draw with ordi¬ nary Buckets, or when there is a ho*fe-work,QX water-work, and that either by a Chain with Plates , and a Pump, or with a Chain and Buckets ; all which are very common, efpecrally thoTe we have mScotland 3 they being capable to draw but a very Tmall draught, making only uTe of one Sink for that effeft. But there are to be Teen in the.North of England, in BifibpYick, Water-works, by which Water is drawn above 40 fathom in perpendicular, but not all in one Sink, The manner whereof is thus, there being a Sink from the end of their Level, to the furface of the earth, ■where their Works are going, 49 fathom deep, whichrnuft dry the f>er-Cod 3 which hath a Level o{ its own, to dry a Coal lying under it, which cannot be other- wife done. But theie things being common and obvious to any, who have but the fmallefi skill and experience, I -Ml forbear. This confufed account, your importunity hath drawen from me, for which if your Book fuffer cenfure, which I grant it may do, as to this part, of it, you are to blame your fell, audio I reft and am, &c, F I N I S. legate POSTSCRIPT. Reader , T Hat thou mayeft know the rife, and occafion of this Poft- fcript, which I have fubjoyned, I (hall give thee this fhort account. When this Book was firft committed to the Prefs, I Cent an intimation thereof to (everal perfons, whom I judg¬ ed would encourage It, yet to none, buttofueh, in whofe kina- nefs I had confidence, and whoml judged my real friends . Among others, I Cent over to Saint Andrews one of my Edicts, to one or two there, in whom I trufted, but in (lead of a kindly return from them, to whom I had written moff affetfionatly, they wrot back a Letter, wherein they fuperciliouftycondemnthe purpofes "of this Book, before ever they had feen them, which is as follows. Sir, T Received purs on Saturday lafi,and having occafion the fame night 1 to he in company with many of the -JM afters of tbtUmvtrfity, / made known your reflation to them, jhewing them your Edicl , and de¬ firing their Contributions : fame were notpleafed, that ye call the Do* etrine concerning the weight and prefure of the Water in its own Ele¬ ment, new, feing Archimedes hath affirmed, and demonfirated in his Books de infidentibus humido the fame Geometrically 200,0 years ago •, others affirmedthat it was fo farfrom being new,that they would undertake to demon frat the event of an) of all yonr Experiments a pnoxtfrom Archimedes his grounds, yea, in general of any Hydro.- flatted Experiment, feing they look upon it, as a Science long ago perleded. Some faid, as to Diving, that they imagined any me* t hod better then that of Melgims, which is now vulgar, to be impof- fible. As to the obfervation of the Sun, or Moons motion in a [econd QdJ '/ of time, yea, or muchlefs, it can be done mof exactly byaTeleJcope, andtfendnlum^ but fcrvesto no piirpofe, jling that fame motion can : bi had inf nit ly mere exact by preport ion , from obf?rv at ions of a con- [titrable interval $ for fo the Astronomers colldt all the middle mo¬ tions of the Planets. As for the Obfervatiens of Coal-finks, lati¬ tude 0/Edinburgh, and its variation of the Needle, the) may ajftt - real) increafe the Historical part of Learning • jet many of the Mu¬ ffs here imagine themselves concerned in credit not to promote the publication of any thing , which feemeth to declare ottr Nation igno¬ rant {by calling them new, and unheard of ) of theje things known oyer all the World the [? many years among really Learned Men , albe¬ it they be debated amongft ridiculous Monkifi Philosophers. I con¬ ceive, ye would do be'jlto undeceive this liniverfity, by Sending us feme of your mo SI abflrufe Theorems, and Surprizing Experiments-, which if -they be not evidently and clearly deduceablefrom Archime- ces, orStevinus, who did write long ago, or rather, ifthey be not the famewith theirs ye way affure your [elf that this Univerfty willtake sway at leaf all the obligations ye have fent here ; otherwayes, I am afraid , I fall not be able to prevail with them. 1 hope-ye wiR par¬ don this my freedom l uSt with you. and return an anlwerwith the frfi cccafon, to St, Andrews, De- Sir, cemb. 27. i6jt. Your moft humble Servant, After the receit of this, being unwilling to make it a ground of 'debate, I returned a moft difereet anfwer,thinking to conquer their humour with civility, and kindnefs,but not long after, hearing of their clamour againft the Intimation , and of their difiwading others, who would willingly (I fuppofej have condefcended, I wts neceiTitated to fend this return,for a joynt anfvver to them both, fo: befides this, another of the feme kind camealfo, ol which here¬ after. Sir, I Received your s, of the Date of December 27 . l6yi. and though it was a little unp leaf ant,yet I took it very kindly from you,asfrm a p erf on Ijudged ingenuous, at my return of January 9.16J2, can witnefs, wherein 1 did not in the leafl refent any thing you wrot-, nei¬ ther would I ever have done, if you, and feme others efpmaUf with you, had not proclaimed publickly , what you and they had written to meprivatly, the not[e whereof ', / have heard here, by f everalperfons who came from the place, Therefore, Sir, you mufl pardon me, if now at lafi , after [0 much filence , I return you this anfwer, for no 0- ther end, hut for my own vindication, tn what I have lately Printed , and am about to Print. 1 am very much then furprized with the an¬ fwer, that you and they have returned, juch a rank fmed of prejudice and envy, I find in it. Jam rewarded evil for good j for l minded nothing hut good-will 5 elje, you and they jhould never have been troubled with my propofal. if they had ajfefted the reputation of Learning, there was another way to it, then the courfe they have ta¬ ken, namely to condemn with Juch a deal of fupercilioufnefs, as dero¬ gatory to the credit of the Nation, forfooth, the labours of one , that hath done more for the credit thereof, then they have dene as yet. They might have minded the faying of the grave Hiflorian, Nam famam atque gloriam, Bonus atque ignavus aeque fibr exoptant: ille verd via nititur, huic, quia Bonce artesdefunt, doles atque fal¬ lacies contendit. And for undeceiving of the Univerfity, as I am very far from counting ]uch per Jons the Univerfity, fo have 1 more refietifor it, and all Learned Perfons in it, then to account their deed, the deed of the Univerfity. As for what they can do, forpromitting the work I have now at the Profs, I value it not at the rate of (hewing them fo much as one of my Theorems : for, if they have (narled fo much , mbutatonemrd, inthe intimation of the work-, what Would they, do, if they had more of it ( which pt'mufi'fiandfirm', urshfs they (for y tis 4 matter of fail, and cannot, be contradUled wtth$Q- pJiiftry and Non-fenfe) overthrow it, which! Us tie fear,- asC ice* 1 a did VerreS) Tabulis& Teftibuxad fingnta indicia prolatis. i\^^ then will thmimaginatim tb it? for thatcannotmaki fe&sftrinf'e- Q^q z rtum ( 3P8 > dam. It feemeth to be a great weight, that they lay upon the force of their imagination, ftnce they are fe confident, as to fay, they imagine any method of Diving better then that c/Melgims,?# be impoffiblc, aaeo familiare eft hominibus fupra vires humanas credere,qaicquid {bora illorura captum fit. As forthefe others, that would demon- flrat a priori, the event of all my Experiments from the grounds of Archimedes, as I doubt not, but they would, if they could, fo in this then bewray their want of skill: for Archimedes wanted a neceffary requifite, which I go upon for my deduBions, And though it were true (which they jay) that all my Theorems were demon(Irable a ■priori from the grounds of Archimedes,ycf this doth not hinder them to be both new, and un-heard-of,as if new,and un-heard-of conchfi- . ens, micommend them, or difeotnmend them? who, when I was at thefe Obfervations, he poffibly hath not been fo well exercifed. He fubioyneth, However if yow dor this laft part concerning Col- finks weiil, and all the reft be but an Ars Magna & Nova.- ye may come to gaine the repute of being more fit to be an Collier, than a Skollar. I muft tell this Pedant , that a Coal-hewer is a more hfe- ful perfon in his own ftation, to the Countrey, than he is and that the Science of Coal , and other Minerals, is far beyond any knowledge this man hath, or can teachi But, m f Lords and Gentlemen, who are Coal-Mafters, mark this;.if yeftandt : tQ the . judgement of this Pedant, though ye had never fo much skilhifi thefe things,ye may come to gain the repute of being more fit to be Rr z foal- • (3io; Coal hewers, than Schollars 5 as if the knowledge of inch things were not a part of Natural philojephy, It feems he hath either for- I gotten the common definition, or elfe hath never known it, that Phyfca 4 Scicntia Corf oris Natural, He fuhjoyneth, Te might have let alone the precarious principles, and imaginary Worlds o/Defcartes, till yom new inventions had made them fo : for it man he telledyow Deforces, valuedthe Hi {lo¬ ry cf Nature, as much as any experimental Philofop her ever did, and ferfccled it more with judicious Experiments, than ye would do by ad appearance in ten ages , But I pray you, Sir, did Des-cartes, and Epicurus, and the like, found their Philofcphy on NaturalHiflory, and not rather upon their own precarious principles : and therefore havequite miffed the mark, and method, that was requifite for the advancement of Learning, and have been fo far from grafting Na¬ ture, that it hath j?«rw out from among their hands. As for what he talketh of Des-cartes, perfecting Natural Hi (lory by Experi¬ ments, if he had done it, as the Poet faith in another fenfe. Non mihi res , fed me relus comfonere Conor . he had done right. But when he took pains on thefe,to force them to a compliance with his own fancies, was not this to ftudy Natu¬ ral Hiflory, as Here ticks do the Scripture, and to be a Fanatick Philofopher , and a fit Mafterfor the like of you. The Proteus of Nature, muff be bound with ftronger Chains, then the fantafiick Nuga of Des-cartes, before he will tell his fecrets. The vanity of whofe method may be feen in the Epicureans, who having laid down this precarious principle, that the fenfe cannot erre, do turn themfelves into fo many drapes, to proved the Sun is no bigger 4 han a blew Bonnet, . In end, after he hath given a Fling at my labours m Chjgow Col - ItM, about UmvtrfaU, and Ensratienis, which I am not afraid telhall come the length of in hafte, for ought I can learn, hefal- ieth foul upon the two Lines I cited out of fuvenal , in the dofe ^f^y.anfwer to a paffage in a Philofophical Ironfall ton : the Lines ' __ (Wl " ———Cuius (apienud MHftrdt _ Summospoffe vim, magnaque txempla datum "'■/ Vervecum in patria craffoque fub acre nafci. Of thefe Lines, he writeth thus, of which (faith he) thefenfe it net under flood, except jemake jour (elf the