FIEST LESSONS IN SCIEFCB BY THIS RIGHT REV. JOHN WILLIAM COLENSO, D.D. President White Ubrary, Cornell University. I''lf«;t«^howswhen this volume wasteken. HOME USE RULES. Books not needed for instruction or re- search are' returnable within 4 weeks. ' Volumes of periodi- cals and of pamphlets are held in the library as much as possible. For special purposes they are given out for a limited time. Borrowers should not use their library privpeges for the bene- fit of other peryons. Books not needed during recess periods should be returned to the library, or arrange- ' ments made fot their return during borrow- Cornell University Library arV15557 First lessons in science 3 1924 031 321 890 olin.anx Cornell University Library The original of tliis bool< is in tine Cornell University Library. There are no known copyright restrictions in the United States on the use of the text. http://www.archive.org/details/cu31924031321890 FIEST LESSONS IN SCIENCE. FIEST LESSONS SCIENCE DESIGNED FOE THE USE OF CHILDKEN. EIGHT EEV. JOHN WILLIAM COLENSO, D.D., BISHOP OF NATAL (1853—1883). LONDON:' WILLIAM EIDGWAT, 169, PICCADILLY, W. 1887. Or ^-4^ ^ 3 A ^2 > c^,77^. Af. ADVERTISEMENT. Feom the author's Preface it will be seen that this little ■work was drawn up for the use of a class of adult natives of his diocese more than a quarter of a century ago. It is scarcely necessary to say that during this interval much progress has been made in Astronomical research, in reference more especially to questions relating to the distance of the Sun from the Earth, and to the probable origin of the planetary system. The former is now generally acknowledged to be somewhat less than it was supposed to be ; and for the latter, some sort of hypothesis of growth from a nebulous condition seems likely to win its way to acceptance. But on neither point has any definite determination been arrived at. It has been thought best, therefore, to leave the figures as they were set down by the author, one or two notes only being added for the purpose of showing that they are not given as the fimal expressions of facts not yet accurately ascer- tained. So for the age of man on the earth, the author's language must be taken only as affirming the compara- tively late appearance of man in the world ; and this is a fact which the geological knowledge of the present day has not tended to call into question. This work is, therefore, laid before the English public with full con- fidence that its statements are supported by the latest scientific conclusions of the day, and that the simplicity and clearness with which the various subjects are treated must render it especially useful in our national and provincial schools. George W. Cox. AUTHOR'S PREFACE. These Lessons were originally written for tlie use of a class of native adults, who were learning to read English. It seemed desirable that they should be gaining some information, as they read about the state of things around them, instead of wasting their energies upon the child's story of ' Dick Bell ' and his doings. I have accordingly written the first portion of this little book in words of one syllable. And I have endeavoured throughout to avoid, as much as possible, such words and expressions, as are likely to embarrass a reader of this kind. This part is the first of a series, which will treat in order more fully of Astronomy, Geology, &c., presenting such facts only as ought to be known to every one. I have had to contend with the difficulty of not being able to get suitable engravings prepared in this colony. I may be able to obtain them from England for a future edition. Mean- •ftrhile I have done what I could, by means of simple directions, to enable the Teacher to draw for the native student such figures as he may need ; or he may be able to find them already drawn, in elementary school-books. Though originally planned, as I have said, for native students, I trust this little \)o6k may be of use for European children also. And I have, in fact, re- Avritten the greater part of it, with a special view to their necessities. J. W. Natal. BisHOPSTOWB, April 24, 1860. FIEST LESSONS IN SCIENCE. 1. The stape or form of the Earth on which, we live is that of a great round ball, which we call a globe or sphere. It does not seem to us at first to be so ; just as an ant, that creeps on the face of a ball, would not see that it is round, since it sees such a small part of it. Now we are like ants, when we stand on the great globe of the Earth ; and we can see but a small bit of its face at one time. And so, if a man stood in the midst of a large plain, he might think that the whole earth was flat, for it would seem so to him, and he might say in his heart, " If I were to go on and on for a long, long time, I might come to the end of the earth at last, and what shall I do then ? " Or, if he was one of a land where there are high hills and deep vales, he might say, " It is not true that the earth is a globe, round on all sides, as you tell me ; for how can this be, when here in one place we go up to the top of some high hUl, and there we go down, low down, to the bank of a stream ? " How can it be that the Earth is a round globe, when there are such hills and vales as these on its face, here and there, on all sides of us ? 2. Yet the Earth is a round globe for all that. But then it is a large globe, so large, that we need not think much of all the hills and vales on the face of it when we speak of the form or shape of the great Earth. So large 2 FIEST LESSONS IN SCIENCE. it is, that these hills are just like grains of fine dust on a small ball, such as boys play with, and these vales are no more to be thought of than the small pits which you may see in the skin on the back of your hand, when you wish to speak of the shape of your hand. This, which is here drawn, will help you to see what I mean. The large space is made to show the shape and size of the Earth ; and the black line which goes round and bounds it is made to be twice as thick as it ought to be, if we want to show, on the same scale, the height of, those hiUs, which are known to be the most high in all the Earth. All the high hills and the deep vales, yes, and the deep, deep, sea, too, would be no more than marks whieh we might make with the least prick of a pin in that black line. So then we might still say, that such a ball as this is round, though we might scratch and mark it in this way, and then, of course, its face would look rough to the eye, like the rind of some kinds of fruit, and not smooth in all parts. And so too we may say that the Earth is a round globe or sphere, though it has on its face all these high hUls and deep vales. 3. " But how is it known that the Earth is a rotind globe like this ? Are there men who have gone all round it and seen the whole of it and all its parts ? And did they come back to their friends at home and tell them all that they had seen ? Is that the way by which men have come to know the shape and size of the earth?" No! that is not the way. It is true that some men have gone all round the globe, but not in all parts of it. And no one man in the short time of his life could see more than a small part of the face of the great Earth, let him do what he can. But men do not need to go round the Earth that so they may learn to know the shape and size of it. There are ways by which wise men can come to know To face f age 1,. FIRST LESSONS IN SCIENCE. d these things, and make quite sure that they know them ; and yet they need not go round the world for this. I do not say that all men can do this, I say that wise men can. For a man must he wise by the gift of God, and he must have read a great deal when young, and he must have thought a great deal when grown up to be a man, that he may have the skill to find out such things as these. But when he has once found them out by his skill, he may then teach us and all men to know them. 4. There have been such men, and there are such now in the world. And in this way God shows His Love to us, and helps us to know Him more and more, and to see and feel how wise He is, and how great are His works. He gives strength and skill to such men as these, that they ■may read, and write, and think, and plod on, from day to day and from year to year. And so they find out these things, and a host of things like them ; and then they tell us all that they have found out, and how they came to find it out, and how they saw it to be true. And we too, if we have some skill of our own by God's gift, though w© may not have so much as they, may then see with our own eyes — I mean, with the eyes of our minds — that these things are just so as I have said ; we too may feel sure that they have said the truth. In this way the Great God, who made us and all things, shows to us here on Earth, from time to time, more and more of his works, so great and wise, and bright and good; and we learn to bless His Name, and to bow our hearts to Him, as we ought to do at all times, in fear and trust and love. 5, Now you who are so young as yet, and can but just read a few small books, will not, of course, see all at once the truth of that which these wise men have taught us. But you can be made with ease to see that they have some good ground for what they tell us, when they say that the B 2 4 FIRST LESSONS IN SCIENCE. Earth is a great globe, if you will think of these things, one by one, which I will now set down. A ship can start from some one place in the Earth, and sail on and on, and at last it wiU come right round once more to the same place from which it set out at first. This shows, at least, that the Earth is not spread out on all sides, so as to be one vast plain, as some thought in the old times which have long gone by. It proves that such a ship has gone all round the globe, just as an ant or fly may creep, if it will, all round a small ball, and come at last to the same place once more from which it set out at first. And it proves that the Earth must be a large globe too. For it takes a ship a long time to go in this way all round the globe. That is one thing which shows that the Earth must be round in some way ; and now think of this too, which I will tell you. 6. Let us stand on the shore of the sea on a fine clear day, when things can be seen a long way off, and the wind blows soft, and the face of the great deep is smooth. And as we stand there, let us watch for a while the ships that may sail by, or those that may sail to or from the land. We shall soon have a proof that the sea is not quite flat, as it may seem to us at first sight ; for we shall see that it is bent down or curved in front of us, so as to hide from our eyes the low parts of a ship which is a good way off. Here then, in fact, we see with our own eyes the round shape of the Earth ; for there are no hills and vales on the face of the smooth sea, as there are upon the dry land, to hide those parts of the ship from us. So that it is the round form of the Earth, which, as a ship goes off from us, on and on, out to sea, hides from our eyes more and more of it, first the dark hull, and then the feet of the masts and sails, and then their tops, till just the tips of them are seen on the edge of the sea, and then these too are lost Tofacepcige 5. FIEST LESSONS IN SCIENCE. 5 to our sight ; and the whole ship is now quite hid from our eyes by the round shape of the great Earth. 7. So too those who may sail in such a ship wiU see the land seem to sink down more and more out of their sight as they go off from it, and look back to take their last view of it, till at last they can see it no more. When they thus lose sight of it, it is not too far off for their eyes to see it ; for, if a man will climb up to the top of the ship's mast, he will see it still. But it is hid from those who are down on the deck of the ship by the shape of the Earth, which makes it swell or bulge out, as it were, in the form of a curve, and so it shuts out the land from their eyes. You will see well how this takes place, if you look at what is here drawn. This is a man who stands on a part of the round Earth. And you will see that if we draw a line A a from his eye, just so as to touch the globe at JB, he will not see at all the low parts of the ship, which is here drawn, for the bulge of the Earth's form hides them from his sight. But he will see the tops of the masts and sails, till at last, as the ship goes still on and on round the globe, he will lose sight of those too. 8. It is just the same when a ship draws near to the land. There may be those on board of it who have been now, for a long while, far off from their homes, and whose hearts long sore to see once more the dear old face of their own bright land. And some of these, we may be sure, as they walk the deck, hour by hour, to and fro, will take their stand, now and then, on that side of the ship from which they know the land will first be seen, and they will fix their eyes on the line far off that marks, as it were, the edge of the sea, and strain their sight, and gaze, in the hope that they may catch a glimpse of the coast. At last, they will see the tops of the high hills, that just peer up, 6 riEST LESSONS IN SCIENCE. as it were, from the sea in front of ttem j and then, as the ship sails on, and draws near, and yet more near, to the shore, they will see the woods and rooks, that reach down to the brink of the sea, and the town, it may be, where their own friends live, which lies, so calm and stiQ, in the midst of them. 9. But now, if yon think of aU this which yoU have read, you may say, " I see that these things do help to show that the Earth is not flat — that its form is bent and curved — that it must, in fact, in some way be round. But how do they show that it is bent and curved, so as just to take the form of a globe ? Why must it be round in this way ? Why may it not have the form of an egg, or be bent and curved in some strange way, so that its shape may not be at all like that of a globe, which, we know, is quite round, on all sides the same ? " It is quite right that you should ask this. And now I will try to help you to see how wise men have come to know that the form of the Earth is not like that of an egg, — that it must be round like that of a globe or sphere. If a man stands on the deck of a ship that is far out at sea, far off from the land, he will see, of course, no more than the sea and the sky. And, if the day be fine, and the sky clear, when the wind blows soft, and the waves do not toss or swell, he wiU see the face of the great deep spread out on all sides smooth and still, and he will see too the line which ends it, as it were — which hems it in and bounds it all round, and seems to part it from the sky, — ^bent so as to make a curve all round him. His own feet will be seen to stand just in the mid point of that curve, so that each point of that whole line will seem to be as far off from him as one of them is. Such a curve as this we call a cir-cle, and the mid point of it we call its Cen-tre. And so you will know this fact, and you must FIRST LESSONS IN SCIENCE, 7 try to bear it in mind, tliat if lines be drawn, like the spokes of a wheel, from the centre of a circle to meet the line which bounds it, they will all be of the same length. And so too it is with a sphere or globe ; if lines be drawn from its mid point or centre, to meet the face of it, which is called its sur-face, they will all be of the same length. 10. Well! let us go back now to speak of the man, whom we left in the ship. It may be that, as he looks, he will see the tops of a ship's masts and sails, which just peer up, and seem to come up out of the sea as it were, far off on its edge, on that line or circle which goes all round him, and parts the sea and the sky on all sides of him. And, as he still looks on, the masts and sails will come up more and more, till, at last, he will see, the whole of them, and then the dark hull of the ship, low down in the sea. This ship is, in fact, a ship like his own, which is on its way to some port, and has been hid from his sight till now by the bulge of the Earth's round form. At last it has come near to his own ship, so near that it can be seen. Soon it will come close to him and pass him, and then it will sail on and on, till he will once more lose sight of it, first of the hull, then of the feet of the masts and sails, and then of their tops. This will be when it gets so far off from him, as to cross once more that line or circle, which seems to his eyes to part the sea and the sky. And lie same thing will be true, if the man sails on in the ship from place to place. He will still see such a line as this, a circle, of which the place where his own feet stand is the centre, that will seem to part the sea and the sky, and bound the range of his sight on the wide sea. And if he goes up to the top of the ship's mast it will be stUl the same ; though the circle will not be quite so small as when he stood low down on the deck. 11. Mark this well then! In all parts of the sea, as 8 FIRST LESSONS IN SCIENCE. seen by the eyes of this man, tlie line whioli TDOiinds the sea and the sky will he a circle. Now those wise men, of whom I told you, take note of this; and they know by this fact that the form of the Earth, in all parts of the sea, must be that of a globe or sphere. They know that this is the case by proofs which they can give; but these proofs would not be plain to those who are so young as you are. But they are sure of this, that the face of the great deep must take the form of a sphere or globe, if this fact be true, as they find it is, that a man who stands in a ship, in this or that part of the sea, sees the line, which bounds the sea and the sky, take no form round him but that of a circle, of which the place of his own feet is the centre. And they can do more than this. For by the size of such a circle, as seen from the deck of a ship, they can judge of the size of the great globe too. And they can show that it must be so large that, as you were told at first, the high hills and deep vales, which, we know, are found on the face of the land, must be thought of but as small things, mere specks and grooves, not worth our while to speak of, when we bear in mind the huge bulk of the whole Earth, and speak of its shape. 12. If a man were to get up on the top of a high hill, in the midst of a wide plain, here too he would see the same kind of curved line, or circle, run round him, as it were, and bound his sight on all sides. Of course it would not be so in a land full of hills and dales, and where ups and downs of all kinds break up, here and there, the face of the ground. But if he could mount like a bird that soars up on high, so as to get far off from the Earth, he would then see much more of its form than he could from the top of a hill. He would not now see so much of the hills and vales. They would soon get to look small, as he FIEST LESSONS IN SCIENCE. 9 went up and up. And he would see the ground spread out like a vast plain at his feet, with dark spots where the towns and woods are, bright streaks where the streams are, and a scratch or rough place, here and there, which marks a ridge of hills. There would be a line too, now quite a large wide circle, though it will not seem so large as it did, which would hem. in his view, and bound what he can see as yet of the Earth's great face. And this too would be the same in all parts of the Earth. So that wise men can show, by means of this fact, that on the dry land too, as well as on the sea, the form of the Earth is round like that of a globe. 13. This must do for you now at this time on this point. One day I hope to tell you more. But now you must see that there is good ground for what these wise men say, and you must take their word for what they see to be true, though it is more than what you can see with your own eyes. So then, if the man we spoke of could rise on still, high up in the sky — up, up, where no bird could fly, and no man could live — he might at last look down, and would see the whole earth, like a great ball hung in the sky, just as we can now look up and see the Sun and the Moon. " But how can this be ? If the Earth be a great ball like this, how can it be hung up there in the sky? In what way is it hung ? What does it hang by ? " Tou may well ask this ; and I wiQ ask you too to tell me how the Sun or Moon is hung up in the sky. And yet we see that they are hung there, though we do not see in what way they are hung, or what they hang by. So then we need not think it strange if these wise men say that the Earth too is a great globe, which hangs in the sky, like the Sun or the Moon — which hangs free in its place, 10 FIRST LESSONS IN SCIENCE. just as they do, and is not held Up at all or kept fast by props or bands. 14. But still you may say, " The Earth is so large, and the Sun and Moon are small. It seems strange that those small bright balls should stand up there in the sky and not fall. But it is still more strange that a ball so huge as the great globe on which we live should hang in this way in mid air just as they do." Then I must tell you that the Sun and Moon are not small as you think, though they may seem to be so. But they are a great way off from us. And it is that which makes them look so small in our eyes ; just as a bird which you know to be a large one will look like a mere small speck when you see it far up in the sky. I shall hope to tell you one day how large the Sun and Moon both are, and how far off they are from the Earth. But now I will just say this. The Moon is a great baU too, like the Earth, but not so large as the earth by a great deal. And the Sun is a great ball too, but so large and huge, that it will be hard to show you, so as to make you see and know, and feel, as it were, with the hands of your mind, how large it is. But this you must bear in mind from this time forth, that the Sun is a huge globe, and far more large than the Earth. In fact, if we were to take the head of a pin to show the size or bulk of the Earth, then the head of a man would show much on the same scale the bulk of the Sun. 15. And what is yet more strange and grand for you to think of, each one of those bright specks which we see Tip in the sky at night, and which we call the Stars (if we leave out a few of them), is quite as large and bright as the Sun, and some of them are much more so, though all are so far off that they look as mere points of light. More still than this you may be told. You may see here and FIEST LESSONS IN SCIENCE, 11 there in the sky on a fine clear night, small clouds of light, not bright as the light of the stars, but more faint. And there is a long trail too of light, drawn through a large part of the sty, which must, I think, have caught your eye now and then, though you may not have marked as yet those same small clouds which I spoke of. Now all the light in this long trail and in those small clouds, comes from a host of stars, which are so far off that they look like mere fine dust, if, in fact, they can be seen by the eye at all. But each one of them is a Sun, a great Sun like ours, a huge bright globe, as bright and grand as that which we see, and which we call our own — as bright as that Sun, which God, our God, has made for us, to cheer our eyes and hearts, to bless our whole life, and, more than all this, to be a sign to us of His Great Love. How great and good is God ! Let Heaven and Earth praise Him, and all the hosts that are in them, the hosts which He has made by the Word of His Mouth. " Praise ye Him, Sun and Moon ! Praise Him, all ye Stars of Light ! all things that have breath and life, praise ye the Lord ! Praise thou the Lord, O my soul ! " 16. I will now go on to tell you more about this Earth, on which we live. It is, as you have heard, a very large ball. And you know also some of the reasons, which have led men to say this, and to be quite sure about it, though they have not been able to travel over all parts of the Earth, or to mount up into the sky so high as to see plainly the form of it. There are other reasons still stronger than those which I have told you ; but you are not yet able to be taught about them, though I hope some day you will be. 12 FIRST LESSONS IN SCIENCE. Well then ! if the form of the Earth is that of a large ball, the next thing we should like to know is, " How large is that hall 2 What is the size of it ? Are wise men able to tell us all about this ? " Yes ! if they are sure that the Earth is a globe or sphere, they know also that they need only measure, that is, find the length of, a short line upon its face, in order to know the length of a line which goes right through the centre of the globe, from one side to the other, and also the length of a line which goes all round the globe, so that a man might go along it, starting from any one place, and go on and on, until, at last, having gone quite round the globe, he would come to the very same place again. I should like to make you see a little how this is to be done —I mean, how we can find out the lengths of each .of these lines, when we know the length of one short line upon the face of the globe. But this would be too hard for you at present. So it will be enough for me to tell you what these wise men have found out for us, without teaching you just now the way in which they have found it out. 17. But, first, I must explain to you the meaning of one or two words, which are much used in speaking of such matters as these. You know a little by this time what is meant by a circle and a sphere, and you know also what is meant by the centre of a circle or sphere. You know that the outer face of a sphere or globe is called its surface ; and so too the line, which goes round a circle, and bounds it in on all sides, is called its circumference. This long word is taken out of the Latin language, which was spoken by the famous old people of ancient Eome, and it means a line which carries all round. But now let me tell you more plainly, that a circle is a flat figure, or, as it is called, a plane figure, such as may FIEST LESSONS IN SCIENCE, 13 be drawn on one side of a flat piece of paper ; so that it cannot lie taken off tiie paper, for it has only length and breadth, and no thickness. You may cut out a piece of paper, which shall have the form of a circle, that is, you may cut out a circular piece of paper ; but, strictly speak- ing, yon cannot cut out a circle ; it only lies on one side of the paper. And a circle is bounded by one curved line which is called its circumference, and whose nature is such, that all straight lines drawn from the mid point, or centre, of the circle to meet the circumference, are equal in length. Now any such straight line as this is called a radius, that is, a ray or spoke, of the circle, like the spoke of a wheel of a wagon. This word, radius, is also a word of the Latin, language : and when we have to speak of more such lines than one, we must change the word again by the rules of the Latin language, and call them radii of the circle. 18. So then, a line drawn from the centre of a circle to the circumference, or from the circumference to the centre, is a radius of the circle. And a line, which is drawn right across the circle, through the centre, to meet the circumference at both ends, is called a diameter of the circle, from a word of the old Greek people, which means a line that measures right through. It is plain that the diameter of a circle divides the circle into two equal parts, and that the length of a diameter is twice that of a radius. You cannot see at once in the same way what is the length of the circumference. But it has been found out that the length of the circumference is rather more (about one seventh more) than three times the diameter, which is the same, of course, as six times the radius. All figures, which can be drawn, like a circle, on one side of a flat piece of paper, and which have, therefore, only length and breadth, but no thickness, are called plane 14 FIRST LESSONS IN SCIENCE. figures. Those wHch. have length and breadth and thickness are called solid figures. Hence a sphere or globe is a solid figure. And a sphere too has its centre, and radii, and diameters; and the radii are all equal, drawn from the centre to the surface ; and the diameters are all equal, drawn right through the centre of the sphere, to meet the surface at both ends; and each diameter is the double of any one of the radii. 19. Well ! the radius of the great sphere or globe of the Earth is found to be about four thousand (4000) . miles, and, therefore, its diameter is about eight thousand (8000) miles ; and its circumference, which, you know, is rather more than three times the diameter, is about twenty-five thousand (25,000) miles. Tou will now be able to form some better notion of the size of the Earth. For instance, we know that a strong man, who can walk well, can manage to walk about fifty (50) miles in one day, if he walks all day long and rests at night. Now suppose that such a man could walk on in this way, day after day, month after month, without stopping. It would take him just five hundred (500) days, or more than one whole year and four months, to go round the Earth. Again, suppose that a hole were bored right under your feet, down, down, through the centre of the Earth and past it, till it came out to the light again on the other side. And suppose that a man were able to go down that hole at the same rate of fifty miles a day. At the end of eighty (80) days he would reach the Earth's centre. And at the end of eighty (80) days more he would come out on the other side. So that it would take him one hundred and sixty (160) days, or more than five months, to go right through the Earth, along one of its diameters, and come out among the people, who live on the other side. FIEST LESSONS IN SCIENCE. 15 20. " But are there people," you may ask, " who live down there, below our very feet, on. the other side of the earth ? " Yes ! indeed there are, and a great many people too, and just such people as we are ; though, perhaps, the colour of their skin may be not quite the same as ours. " But who knows this ? Has any one seen these people ? Has any one talked with them ? " Yes ! sailors, and other persons, who have gone round the world in ships, have seen these people, and talked with them, and then have tx)me back to tell the story of them. " But can we see them with our own eyes, these people, who live on the other side of the Earth?" No! not unless you go to them across the sea, or unless they come across the sea to you. For a man cannot really go all round the Earth, walking on foot all the while, as we supposed ; because there are oceans, that is, great seas, which must be crossed in some parts, before he could get from the place where he lives right round to the other side of the Earth, and see the people who are living there. " But these people, do their heads point up to the sky, and their feet stand upon the ground, as ours do ? " Yes ! God has made man alone, of all the creatures upon the Earth, to stand and walk with an upright body, as we do. And they too are men, and walk with their heads upwards, and their feet tread- ing on the ground, just as we do. " But then their feet must be pointed up to ours, and their heads must be hanging downwards. How can they stand or walk, or live at all in this way ? " 21. Listen, and I will tell you. Look at this book, which I let fall from my hand. It falls at once to the ground; and why? You will say, because it is heavy. But why is it heavy ? What makes it to have weight at all, and to fall with such force upon the ground ? And all othra' things, which have weight like this, how is it that 16 FIRST LESSONS IN SCIENCE. they are heavy ? What makes them all fall down at once to the ground, if we let them go? A man, when he jumps, why does he feel it to be so hard to jump up, and so easy to jump down ? And, when he leans too much on one side, or forward, or backward, what makes him feel that he cannot keep himself any longer up upon his legs, than he must topple over, and fall down upon the ground ? In all these oases, it is the Earth itself which draws things to itself — the Earth with its huge bulk and its great mass. It is the Earth which pulls down the book and the man's body to itself. It tries to draw all things down to its own centre. This is why you feel a pain in your neck after leaning, forward a long time to write. The Earth has been pulling your head down to itself; but you have all the while been holding it up by means of the muscles of your neck, without knowing what you were doing, simply because you willed it. And now those muscles are tired, and you feel pain, and you lift up your head for a time, that you may give them rest. So again, if you fall asleep while sitting, your head will fall forward, like a heavy weight, upon your breast, because in your sleep you are no longer able to act by your will, and to make your muscles do their duty, arid hold it up. 22. So then this is why we are able to stand upright upon our feet without fear of falling, because the Earth has the power, which Grod has given it, of drawing our whole body right down upon our feet, so that it presses on them and rests upon them. But, if a man leans over too much on one side, then the Earth will draw that part of his body, which hangs over his feet, so strongly right downward, that he will not be able with the muscles of his legs to resist its power, and so his body must come to the ground, that is, it must fall. You may see, indeed, a fly walk up a wall, or even FIRST LESSONS IN SCIENCE. 17 along the ceiling of a room, with its feet upwards and its body hanging downwards, and yet it will not fall. But this is because God's Wisdom has made its feet in a strange way, which one day I hope to explain to you, so that it is able to hold on thus, and to stick to the wall or ceiling, although it is still pulled downwards by the Earth, as all things else are. And the same thing takes place on the other side of the globe. The Earth there too draws all things down to itself, and tries to get them to its own centre. A book, if let go from the hand, will fall there, as here, down to the ground towards the Earth's centre. A man will stand upright upon his feet there, as here, because the Earth draws down his body, so as to make it press his feet upon the Earth, unless he leans too much on one side, and then, as before, the Earth wUl draw down to itself that part of his body, which hangs over his feet, and he too must faU, if the muscles of his legs are not able to resist its power. 23. You will now see that the words " up " and " down " must always be thought of with respect to the person who uses them. " Up " is always up above a man's head, and " down " is always down below his feet, which will point towards the Earth's centre, let him live where he may. And so there are people, as I have told you, who live on the other side of the Earth, and whose feet point to ours, and who are, therefore, called our Antipodes, from a Greek word which means people whose " feet point to ours." And their heads are upward and their feet downward, though their "up" is not the same as our " up," and their " down " is not the same as our " down." And so too those people, who live in other parts of the Earth, will call it up, when they point up over their heads, and down when they point down under their feet. c 18 FIRST LESSONS IN SCIENCE. 24. When, therefore, we point tip to Heaven, and say that God is there, and when we pray, and say, '' Our Father, which art in HeaTen," we do this, not because we think that He lives up above our heads, any more than that He lives down below our feet. But we use such words as these because it is the way of men to speak of all things, that are very great and glorious, as being high above their heads, in a place which they cannot attain unto, and because we are to think of our Father's Glory and Greatness as higher than all our thoughts can reach, though they soar upwards sometimes, like a bird, as it were, to find Him. But those on the other side of the globe, and all other people too in all parts of the Earth, they too may look up to the Heaven above their heads, and say, " Our God and Father is there ! " though they will not be pointing to the same region of the sky as we do. For God is high above the reach of their minds also in His Glory and Greatness, ay, and in His Goodness also. " As the Heaven is high above the Earth, so great is His Mercy toward them that fear Him." 25. But God is not only above our heads, and above their heads. He is present with us in every place — high above in the Heavens, to behold and govern all things — but near to us here upon Earth, near, very near, to us His children, in the very centre of our being, to comfort and bless, as well as to correct and chasten, to teach us by His Spirit, to guide us by His Counsel here, that He may bring us to His Glory. As the Psalmist David wrote of old, " Lord, Thou has searched me out and known me ! Thou art about my path, and about my bed, and spiest out all my ways. Thou hast beset me behind and before, and laid Thine Hand upon me. Such knowledge is too wonderful for me; it is high, I cannot attain unto it. FIRST LESSONS IN SCIENCE. 19 Whither shall I go from Thy Spirit ? or whither shall I flee from Thy Presence ? If I climb up to Heaven, Thon art there ; if I go down to Hell, Thou art there also. Search me, God, and know my heart ; try me, and know my thoughts ; and see if there be any wicked way in me, and lead me in the way everlasting." 26. But now you will, perhaps, be asking, " What is it that makes the Earth draw to itself all other things in this way ? " No one but God Himself, the Mighty Maker, knows the whole reason of this. Yet I will tell you something more about it, as far as he has given us power to look into the Wisdom of His Work. But, first, you must learn to know the proper meaning of those two words, bulk and mass, which I used a little while ago. When we speak of the hulk of a thing, we mean its size ; but then it must be something which has length, breadth, and thickness. We can speak of the bulk of a tree or a mountain ; but we cannot speak of the bulk of a line or circle ; we must say the length of a line, and the size of a circle. Again, when we speak of the mass of a thing, we mean the amount which it has in it of that which is called matter. Now matter is the name given to the substance or stuff of any kind, which makes up a hody ; and a body is anything that can be touched, or that takes up room for itself in space. Thus vfood, of which a log or a table is made, is one kind of matter ; and water, of which the sea or a river is made, is also a kind of matter, and flesh, and bone, and blood, these are some of the matters, of which our bodies are made ; and the substance, of which each one of these is made, would be called the matter of flesh, and the matter of bone, and the matter of blood. I repeat then, any thing is called matter which makes up any body. And the mass of a body is the whole amount of matter of any kind which it contains. And a c 2 20 FIRST LESSONS IN SCIENCE. particle of matter is the very smallest portion we can con- ceive of the matter, which makes up any body. 27. Now God has given to each particle of matter of any kind a power to draw to itself, or attract, every other particle, with a force which is stronger as the particles are nearer, one to the other. This power is very small, when we think of only one minute particle, which attracts a second minute particle, unless they are very close indeed the one to the other. But, when a vast number of parti- cles are joined to make one body, and a vast number of bodies are joined to make one great mass, then the power, which this whole mass of matter exerts on any particle, if it be not too far off, may be very great. Now the Earth is just such a huge mass of matter, made up of a vast number of bodies of all kinds of matter. On the surface we see the hills and mountains, made of hard rooks, and the vast seas and oceans, made of water; and under the bottom of the mountains, and under the bed of the sea, and under the plains and wide-spread regions of the Earth, is matter of some kind or other, reaching down, as we have reason to believe, to the very centre. The whole Earth then, throughout its huge bulk, is one great mass of matter. And this mass must attract, or draw to itself, each particle of matter, in any other body, not too far off from it, with a very great force ; and thus it will make the body seem to be heavy, will make it have weight. Each particle of matter in a man's body is thus drawn down by the whole mass of the Earth. And each particle of matter in the Earth is in like manner drawn upwards by the whole mass of the man's body. But the huge Earth pulls with a mighty force, and the man's small body with a very, very, small one, which it is not worth while to speak of at all, so very small it is, when we think of the mighty pull of the Earth's great mass. FIRST LESSONS IN SCIENCE. 21 28. " But what is known about the inside of the Earth? Can wise men tell us anything about the matter of all kinds which fills up its huge bulk ? " Yes ! indeed they can ; they have learned a great deal about it, and yet very little, when we come to look at the vast thickness of the great globe. They are able to tell us much about that which we call the crust, or outside, of the Earth, to the depth of about eight, or perhaps, ten miles from the sur- face. But what is that to the Earth's radius, the distance from the surface to the centre, which we know to be four thousand (4000) miles ? You will see, if you will' draw a figure like that which you first looked at (p. 2), that is, if you will draw a circle, such that the length of the radius shall be 400 times the thickness of the bounding line or circumference. Eor the circle in that figure is meant, as you know, to set forth the great globe of the Earth, and the bounding line is niade twice as thick as it ought to be, to set forth, on the same scale, the height of the highest mountains, which is about five miles. Hence this line sets forth a thickness of ten miles, that is, it sets forth to us the thickness of the Earth's crust, so far as we are able to search into it, and know any thing for certain about it. In fact, if we take a fowl's egg to show the size of the Earth itself, the shell will be much too thick to show on the same scale the thickness of this crust. 29. But still there is a great deal that may be told you about this same thin crust. By searching into it with great care, using the powers of mind which the Blessed God has given them, learned men have come at last to make the Earth tell, as it were, its own strange story to us. It is written in the rocks which lie beneath our feet. There we may learn to know not only what the outer crust of the earth is made of, but how it was made, what changes have passed over it in ages long gone by, what 22 FIRST LESSONS IN SCIENCE, plants and trees and living creatures, what beasts and birds and reptiles and fishes, what trees and plants with- out number, have lived and died upon it, long, long before there was a man to till the ground, to see the Glory, and taste the Goodness, and show forth the Praises of God. All knowledge of any kind such as this, which wise men have gained, is called Science; and such men are called men of science, or scientific men, or sometimes, philosophers, from a Greek word, which means "lovers of wisdom." And that part or branch of science which tells about the Earth's crust, and the matter of which it is made, is called Geology, from a Greek word again, which means " discourse " (or talk) « about the Earth." 30. Now we all know that there are found near the Earth's surface stones and rooks of many kinds and colours, which are seen here and there, sometimes in great masses, making hills and lofty mountains, sometimes in the beds of streams or on the banks of rivers — sometimes in quarries, that is, places where stones are dug out, with which houses are built, or in cuttings, that is, places where a wide road is made right through a hill — sometimes again as they come out to view a little, or, as it is said, crop out, on the side of a hill, perhaps in the very middle of a bed of grass. There is limestone, which is burnt to make the white lime for mortar and whitewash, and slate, with which the roofs of houses are often covered, and the black coal which is used for fires, and other stone which serves for building. There is soft clay, of which bricks are made, and loose sand, and hard granite. 31. Now we might have thought, as, indeed, for a very long time men did think, that all these remain now just in the same state as when they first were made. We know, indeed, that a river will sometimes come down, swelled by heavy rains or by the melting of snow, in a FIEST LESSONS IN SCIENdE. 23 miglity roaring flood, and flow over its banks on all sides. When the flood has passed away, we may fiiid, perhaps that the stream has changed its course, and that places are now buried up under stones and sand, where the grass once grew, while others are covered with a thick layer of mud, or a large sheet of water. Perhaps, in that mud may be hid up also dead bodies of drowned beasts, or birds, or snakes, or, it may be, of people. Many shells may be buried in it ; and such shells, or the bones of these crea- tures, may be dug up at some future day, and show the people of that time what a flood there had been, and how many living things had been destroyed by it. But still, we should say, such places as these must form but a very small portion of the Earth's great surface. That must remain, upon the whole, much in the same state as when the Word of their Mighty Maker called all these things forth into being. 32. But, in truth, it is not so. A very little searching into the matter is enough to show that this is very far from being the case. The face of the whole Earth has been changed again and again, as time passed on. Some- times a great extent of land has been raised above the waters in a very short time by the dreadful throb of an earthquake ; sometimes it has been very slowly lifted from beneath by the quiet steady working of some mighty power. Sometimes, again, vast regions of dry land have sunk down in a moment, or have sunk down slowly — a few feet only it may be, in a hundred years — and been buried deep at last beneath the ocean. Many of the rocks which we now behold were formed, not in a moment, when the Earth itself was made, but by degrees. The matter, of which their substance is made, has been dropped down through the course of long, long ages, in the form of mud or sand, or gravel, at the mouth of a great river, or at the 24 FIRST LESiSONS IN SCIENCE. bottom of a sea. There it was pressed down by the heavy weight of other matter, and the deep sea itself lying oyer it, and so, at last, it came to be a hard firm rock as now we see it. Others have been formed by matter which has been poured out at first like molten iron, red-hot, from the very bowels of the Earth, through holes which it found, or which it made for itself, with furious force, in the thin crust ; and these by degrees have cooled down, till they too become solid masses of hard rock, as we now behold them. And here and there, in all parts of the Earth, are found buried deep in many of these rocks — though not, of course, in those that have been formed of melted matter — remains of living creatures of all kinds that have lived and died, and passed away in former ages, long before man was placed upon the Earth, many of them strange and uncouth in form, and very few of them of kinds like those that are now living upon the Earth. 33. This explains roughly what we know of the way in which the Earth's crust was formed. But now I must go on to tell you a little more about all this. It is very likely that, when the Earth was first brought into its present shape, it was wholly formed of red-hot molten matter. Philosophers have good reason for saying this, as you will see for yourselves more plainly as we go on. But then you will, perhaps, be asking, " Had this liquid matter, of which the Earth was made, the same round form of a globe which the Earth has now ? " Yes ! Strange as it may seem at first to say it, yet this red-hot molten matter took the very same form which the Earth has now, and which it has kept from that time to this. But here I must tell you that that form is not quite that of a sphere, as we have all along been saying, of which all the diameters you know, are equal. Yet it is almost that of a sphere, and differs so very little from it, that in our common talk FIEST LESSONS IN SCIENCE. 25 we may speak of it as a sphere, having all its diameters of the same length, about 8000 miles. Still the true shape of the Earth is more like that of an orange ; that is, it has the form of a sphere that has been pressed in a little or flattened at the two ends of one of its diameters, so that that diameter, which is called the axis, is shorter than any other. Midway between the two ends, or jpoles, as they are called, of this axis, the shape of the Earth, of course, bulges out a very little all round. And the curved line which goes round the globe in this middle part, where it bulges out, and which is, in fact, the circumference of a circle, is called the Equator, from a Latin word, which means the line "that makes equal," because it plainly divides the whole surface of the globe into two equal parts. 34. Now it has been found out by the skill of philo- sophers that the Earth's axis, or polar diameter, is just shorter by twenty-six miles than any of its long Equatorial diameters — that is, than any line which may be drawn right through the Earth's centre, from any point in the Equator, so as to come out at a point on the other side of the globe. In fact, the exact length of any one of the longer diameters is found to be 7924 miles, and that of the shorter diameter, or polar axis, is found to be 7898 miles. But they are both so very large that the small length by which the one exceeds the other would hardly be noticed at all by the eye. If a man were looking upon the great ball from some place in the sky a long way off, it would seem to his eyes to have the true form of a perfect sphere. 35. Now you will not forget what you have been told about the power which God has given to every particle of matter, to draw to itself, or attract, all other particles. Hence, if the Earth was made at first of fluid matter, each 26 FIEST LESSONS IN SCIENCE. particle of this matter would attract all the rest. And philosophers have shown that such a mass, if left to itself, would settle down, hy reason of this attraction, into the form of a perfect sphere. But they have shown also that, if this same fluid mass has a whirling motion given to it, so as to spin round like a top, about a line through its centre or central axis, it will lose the form of a perfect sphere, and take that of a sphere that is pressed in, or flattened, at the poles, and bulges out at the Equator, mid- way between them. The faster it whirls round, the more it will be pressed in at the poles, and bulge out at the Equator. And, if they know the exact rate at which it whirls, and the length of either the longer or the shorter diameter, they are able to find out for themselves what must be the length of the other. I mean, they are able by their skill to reason it out on paper, and tell us by how much the one must be longer than the other, without having any need to measure it. 36. Now the fact is that the great Earth, upon which we are placed, does turn round thus upon its axis once in twenty-four hours. Each day that we live, the huge globe is spinning round in this way, with all the people, and other creatures, that live upon it. You may ask, " Why do we not feel that we are moving, if this is the case ? " And then I might answer, " Do you think that a very small fly, perched upon a large waggon, would feel that it was moving, if the waggon were turned round with smooth steady motion, so as not to shake or jerk it ? " And we men are very small flies indeed, smaller than the smallest we can think of, if we compare our size with that of the huge Earth. And so we go around with it as it turns with a smooth steady motion, without any jerk or shaking; and we are not at all conscious that we are moving by anything that we can feel, though, as I shall FIRST LESSONS IN SCIENCE. 27 show you iDefore we go much further, we are indeed moving at a very rapid rate. But though we cannot /eeZ this motion of the Earth, turning round, day by day, upon its axis, because we are all going round so smoothly with it, yet we may know that we do so by something which 'we see daily; for we are not flies, that have no reason given them to take account of such things. 37. We see, then, the Sun, day by day, rising, as it seems, in the East, and moving on and on, till he gets high up over our heads, and then dipping down again, lower and lower, till he sets in the West. It appears to us that the Sun is moving round the Earth, day after day, giving light and warmth to us, as we need it, by the Wise and Gracious Will of our Father in Heaven. Tor a long time even the wisest philosophers thought so too. And so in the Bible you find it written that the Sun " cometh forth as a bridegroom out of his chamber, and rejoiceth, as a strong man, to run a race. His going forth is from the end of Heaven, and his circuit unto the ends of it." But of the Earth the Psalmist wrote, "He hath made the round world " — by which he meant, not the round globe, as we speak of it, but the Earth, as men thought of it in those days, lying spread out before them on all sides, rounded in with a circle — " so fast, that it cannot be moved." 38. We must not wonder at this. For the Bible was not given us to make us wise in matters of this kind. God means us to search out these things for ourselves by degrees, more and more, by using the powers of mind which He has given us. We must not expect Him to teach us such things as these out of the Bible. The Bible is given to teach us about Goodness and Truth, about things which concern the heart and the conscience, about God's Love to us, and our duty to Him and to each other. 28 FIRST LESSONS IN SCIENCE. It is not meant to teach ns about matters of science at all. We must not suppose that the Holy Spirit of God would all at once reveal to the good men, who wrote the books of the Bible, such knowledge as this, so that they should come in a moment to be wiser than other people who lived in their days, about these things — about the Earth and the Moon and the Sun and the Stars, or about any of those things which God means us, as I have said, to find out for ourselves by hard labour, and by the proper use of the powers which He has given us for that purpose. And so we find that the writers of the books of the Bible, whose hearts were taught the highest wisdom by the Spirit of God about matters of Truth and Love, and those things which concern the spirit of man, had very little know- ledge, far less than God has now given us, about matters of science. 39. And, indeed, a man may do great good, and serve God truly with his body, soul, and spirit, which are God's, without knowing much of these things, or without knowing them at all, if God has not been pleased to give him the power of knowing them. But, if God sees good to grant to any of you any knowledge of these things, as He does now to you who are reading this little book, then be sure that He means you to use the power He gives you, that so you may have higher and deeper thoughts of His Wisdom and Greatness and Goodness, than you could have had without it. Just so a little child may be a very good child, and do the Will of his Father in Heaven, though he has not the knowledge even of common things, which a full-grown man has. And yet the full-grown man, because he knows more, is able to do more and higher work in the world, to serve God with his mind, as well as with his heart and soul and strength. And whether we know much or little of matters of science, the Bible is still the FIRST LESSONS IN SCIENCE. 29 Book of Books to teach us of our Father's Love and of His Heavenly Kingdom. And the same Good Spirit who taught of old the hearts of the holy men who wrote the books which make up the Bible, graciously teaches our hearts too, when we come to study it with an earnest, humble, desire to know more and more of His Truth, and of the way of Life Eternal. 40. At first, then, as I have said, even philosophers, who studied these matters, supposed that the Earth stood still, and that the Sun went round it. And it was easy enough to believe this, when they thought only of the Sun, and when they knew nothing of its vast bulk, which we now know to be more than a million times as large as that of the Earth. But, besides the Sun, there is the Moon too that rises in the Bast and sets in the West, as the Sun does. And besides the Sun and Moon, there are hundreds and thousands of Stars that do the same ; and we know also that almost all of these Stars are as large as the Sun and larger. Let us stop a few moments to think about this. I cannot now show you how these things are known. But I wish to give you some clearer notion than you yet possess of the size and distance from us of those bright bodies of the sky. The Moon, then, is found to be 240 thousands (240,000) of miles away, the Sun 96 millions (96,000,000) of miles, that is, 400 times as far off as the moon ; and the nearest Fixed Star is at least twenty billions (20,000,000,000,000) of miles away from us, that is, more than 200,000 times as far off as the Sun. I say the nearest Fixed Star, because there are a few stars, called Planets, or Wandering Stars (the reason of which name you will see presently) which are much nearer to us. But only four or five of these can be seen by the naked eye. Except, however, these four or five, it is certain that each of the bright points we see sparkling at night must 30 FIEST LESSONS IN SCIENCE. be, at least, as far off as this, and most of tliem are very much farther off. 41. But you will get very little notion of what this means, merely by knowing these numbers. Suppose that a man can travel — not 50 miles a-day, as before, but — as fast as he can go by a steam-train along a railway in England, say 100 mUes in 3 hours. And suppose him to go on at this rate, day after day, day and night, without stopping for rest and food. It would take him just 300 days to reach the moon ; whereas it would take him 400 times as long, that is, 120,000 days, or nearly 830 years of 365 days each to reach the Sun. But how long would it take him to reach the nearest fixed Star ? Why, suppose that in one single day he could travel the whole 96 millions of mUes, and get to the Sun, and that he went on at this rate from day to day, it would take him more than 200,000 days, or nearly 650 years of such travelling, before he could reach this Star. No wonder that the Stars appear so small! But what huge bodies they must be, and how very bright they must be, even to be seen at all at such a distance ! 42. And that bright light of the Stars, how long will it be in coming to us ? For light takes time to travel, as well as sound, though it travels very much more quickly than sound. You know that sound takes time to travel. For when you see the flash of a distant gun, you have to wait some time before the sound comes, and all that time it has been coming to us, at the rate of about a mile in five seconds. But the flash of the gun seems to reach us in a moment, because light travels so very quickly, and the distance is so short. And yet light does take time to travel, as we find when we have to do with greater distances. It is found that the light of the sun takes about 8^ minutes to reach the Earth. But the Ught of FIEST LESSONS IN SCIENCE. 31 the nearest fixed Star nmst take more than 200,000 times as long, that is, ahont 3^ years. In other words, the light hy which we see such a star at any moment, must have left it 3 J years ago, before it reaches our eyes. But there are other stars more distant, whose light must have been 2000 years or more in coming to us. So that when we mark the places in the sky of such stars, judging by the light which comes to us, we mark the places which they had 3:|- or 2000 years ago, not those which they have now. 43. Then again, as to size, we can say nothing certainly of the size of the Fixed Stars, except what has been said already, that they must be of immense bulk, as well as brightness, to be seen at all, being at such a great distance from us. The diameter of the Moon is about one-fourth that of the Earth, or 2000 miles, so that the Moon is a much smaller body that the Earth. But the Sun's diameter is 110 times that of the Earth, or 880,000 miles ; and his bulk is vast indeed. Let me try to give you some means of judging this bulk. If the Sun could be placed with his centre at the centre of the Earth, then the Earth would be like a little pea in the middle of his huge globe. And since the Moon's distance from the Earth is only 240,000 mUes, while the distance of the Sun's surface from his centre — that is, his radius — is half his diameter or 440,000 miles, it is plain that the body of the Sun will stretch out on all sides almost as far again as the Moon, which, though hanging so far off in the air, would yet be inside the gi-eat globe of the Sun's body, like a pin's head, somewhere, half way between the centre and the surface. 44. What shall we say then about all these ? Must we, indeed, suppose that this little pea of an Earth stands still — for now we must call it little, when we are thinking of the Sun a million times as large — and that all these glorious hosts of mighty worlds, to each of which the 32 FIRST LESSONS IN SCIENCE. Earth, is but as a pin's head to the head of a man, are moving daily round it, at distances so vast that we have scarcely power to measure them |it all? Or is it not far more simple to suppose — as that will explain what we see daily of the rising and setting of the Sun and Moon and Stars — that these great Suns are all standing still, each one in its place, and that the Earth turns round each day on its axis, and so they only appear to move round it ? I am speaking, observe, only of their rising and setting. It is only those motions of the heavenly bodies that are ex- plained in this way. The fixed stars, indeed, appear to have no other motions : you may see them rise and set always at the same points of the sky. But if you look with oare, you will see that the Sun, and the Moon, and the Planets, are always changing from day to day their place of rising and setting. And I hope to show you by and bye the reason of this also. 45. But there are proofs enough to make men certain that it is, indeed, the Earth itself, and not the Sun and Moon and Stars, that is moving, when they seem to rise in the East, and go up high above our heads, and then sink down and set in the West. It is the Earth itself, then, turning round from West to East once a day on its axis; and so bringing, bit by bit, each part of its whole sur- face, with the people and places that are on it, first into sight of the sun at sunrise^ then to pass under his hot rays, when he rises highest, at noon, and then to lose sight of him again at sunset. And then the Earth still turns on, and they are carried round away out of the Sun's light and warmth. And so the day passes into night for them ; and just twelve hours after high noon they are wrapped in midnight darkness, vsdth. only the light of the Moon, it may be, and the Stars, if the night be clear, to lighten it. It is the huge Earth, also, which, FIRST LESSONS IN SCIENCE. 33 turning in this way, makes the Moon and the Stars seem to rise, and mount, and sink, and set, just as the Sun does. From this, too, we see that the place, to which a person points when he speaks of heaven being up above his head, will not be the same at all parts of the same day, though he may be standing in the same spot, and in the same posture. It, will, in fact, be changed each moment, as the Earth turns round, and he is carried round with it. But, when he points down, he will always be pointing to the same place, if he does not shift his feet ; for he will always point to the Earth's centre, just beneath him, and call that " down." 46. So then, learned men know this rate, at which the Earth is now turning on its axis, namely, once in twenty- four hours. And some suppose that it turned at the same rate as this, when it first came forth, brought into its present form by its Mighty Maker's Word, and launched, as it were, into space from His Hand. And now, having found out, partly by actual measuring, partly by their own skill, the length of the Earth's shorter diameter, they were able, as I have said, to reason out for themselves upon paper, without any need to measure it at all, the length of its long diameter ; that is, they were able to find out what ought to be the length of the longer diameter, if the Earth was, indeed, at first a fluid mass, spinning round on its axis at this rate. They did reason this out on paper ; and they found it to be just the length, which, when made out in other ways, partly by actual measure- ment, partly by their skill, it is found to be — namely, longer by twenty-six miles than the length of the shorter diameter. Thus, then, they saw that there were indeed good grounds for saying that, when the Earth was first formed 34 FIRST LESSONS IN SCIENCE. it was a fluid mass, turning round upon a central axis ; which fluid whirling mass, hy virtue of the attraction which each particle of matter exerts upon all other particles, formed itself into its proper shape, and settled down in the form of a glohe as now we see it, with the longer or Equatorial diameter twenty-six miles longer than the shorter or polar diameter. 47. " But if the Earth was at first a fluid mass, yet why a hot fluid mass ? why made of red-hot molten matter ? Might it not have been made of cold fluid like the sea, in which might be floating, mixed up like sand and soil in the muddy waters of a flooded river, all those kinds of matter, which now make up the solid crust of the Earth, and which settled down, perhaps, and got hardened into rocks?" No ! for many reasons this could not have been the case. We Gould not then account for the greater part of the Earth's crust at all; since the main portion of it, that which lies under all the rest, as far as we are able to judge, such as the hard rock called granite, is plainly seen, when we come to look at it closely, to be matter that was once in a molten state. Again, those beds or layers of matter, which are found lying next above the former, bear marks also of having been changed by heat, though there is no doubt, when we look closely into them, that they were formed at first in beds by the dropping of some kind of sand or other, through long ages, at the bottom of the sea. They seem to have been altered by being so close to the hot mass of matter beneath them, which had so far cooled down from the fluid state, as to have become by this time hard solid rock, but gave out still intense heat. Besides this, it is certain that vast masses of melted matter have often since then been thrust up from the inner regions of the Earth's body through FIRST LESSONS IN SCIENCE. 35 cracks in tlie crust, and have been poured out in this fluid state over -what was then the surface, and so by degrees cooled down and hardened into roots. 48. And what is more than all this, such masses of red- hot liquid matter are still being thrown up in many parts of the Earth. Here and there we find high mountains, called volcanoes, from the tops of which from time to time are poured forth streams of such matter, which go rolling down the mountain-side, like rivers of fire, and press on in their fearful course, flowing over fields and gardens^ and sometimes over whole towns and villages. At last the mighty power, which forced up the fiery flood, has spent its strength for the time ; the torrent ceases to flow ; and then this matter, called lava, cools down into thick beds of solid rock. In other parts of the Earth there are hot springs, called Geysers, which throw up, sometimes to a great height, with a fearful roar, hot boiling water from the deep bowels of the Earth. All this is enough to show that there must even now be a glowing mass of red-hot liquid matter, within the body of the Earth under our feet. And on going down deep below the surface of the Earth, as men do in mines, where they dig far down, searching for stones out of which they may, by melting them, obtain gold, silver, tin, iron, lead, and other metals, they find the heat increase as they go deeper and deeper. And we have reason to believe, that, could they get further down towards the Earth's centre than the very little way which they can go (for the deepest mine is not much more than half a mile deep from the surface), they would find it very hot indeed, too hot at last to be endured, hot enough to fuse or melt the hardest rock of which the Earth's crust is made. 49. From all this we must conclude that, at this very moment, our feet are standing on the outer coating of a D 2 36 FIEST LESSONS IN SCIENCE. great globe, -wMcli is full of red-hot molten matter. We cannot tell the exact thickness of this outer solid coating. We do not know whether or not, like the rind of a , pumpkin, it is pretty nearly' of the same thickness all round. We only know the thin outer crust of this coat- ing, like the skin, which we might shave off the outside of the rind of a pumpkin. All that we can be certain of is this, that this outer coating is, at all events, more than ten miles thick, perhaps, nowhere less than forty or fifty ; and some have thought that it may be formed into caverns or hollows on its inner surface, so as to be in some places much thicker than in others — perhaps, here and there, even a hundred or a thousand miles thick, about one- fourth of the whole way down to the Earth's centre. But there it is in the centre of the Earth, this red-hot molten mass, in the middle of the great globe, where all sorts of matters are mixed up, it may be, and fused into one boiling whole, of which portions come off to us at times, forced up from beneath in the form of Lava. Once the whole globe was a mass of liquid fire. Then the outer crust cooled down and hardened. And year by year we may believe, or rather, age by age — for we cannot speak of days and years when we are talking of such matters as these — the Earth's body cooled down, as it is still cooling down. Perhaps one day it will be too cool in all parts of its surface for such being as we are to live on it at all. 50. You will now be able to have some clearer notion of the way in which the Earth's crust has been formed. From what has been said you will see that we have good reason to believe that the Earth, when first brought into its present form, was merely a red-hot liquid mass. With such heat as this, all the water which we now see could only exist in the form of hot vapour or steam. And many other kinds of matter, which now appear either in FIEST LESSONS IS SCIENCE. 37 a solid or a liquid form, could only have existed, like water, each in its own proper form of vapour, or gas, as it is called. These gases, niixed up with steam, and the matters, which make the air which we now breathe daily, would surround the fiery globe of red-hot matter with a dense cloud. In process of time the surface, throwing off heat without ceasing into the vast regions of space, must have cooled down enough for a thin outer crust to have been formed upon it. On this cruet would be dropped by degrees a number of little particles of matter out of the thick cloud, so fully charged with them, which wrapped the globe round about; for some of the many things mixed up in it would begin, as the surfaced cooled even a little, to leave the state of gas, and appear in a solid form. So too the vapour would at last fall down, like dew, upon the cooling surface, as you know that steam will form drops of water upon any cooler thing, even upon a man's warm hand, when plunged in the midst of it.* 51. " But what will the Sun have been doing all this while?" It will, doubtless, have been shining then as now, and its heat will have reached the Earth then as it does now. But w^e know that at this time, in some parts of the Earth, the Sun's heat is much greater than in others ; and in all places his heat is felt in some parts of the year much more than in others. In some places the people suffer much from intense heat ; in others they can scarcely live for the bitter cold. Something of this kind took place then as now. All parts of the crust, we may believe, were warm then because of the red-hot mass * " Nothing that is said here must be taken as either afBrmiug or denying any theory of the origin of the solar system from ono coherent mass of nebulous matter, split up into independent bodies by the pro- cess of cooling and contraction. Some such hypothesis may, it is not unlikely, be generally received hereafter. "We cannot say that it has been so received yet; and the author was dealing only with facts which may fairly be regarded as established." 38 FIRST LESSONS IN SCIENCE. SO close inside of it. But some parts were more heated by the Sun than others. As far as the eifect of the Sun's warmth went, there would have been icy cold in some places and scorching heat in others. This alone would make the Earth's surface to cool more quickly in some parts than in others; and this would cause huge cracks and chinks all over the crust. Great pieces might be broken off in this way from the rest, and float, free, as it were, upon the fiery deep. And some of these being more cooled, and therefore more solid and heavy than others, would begin to sink downward towards the centre more than others. Down, down, they would go by slow degrees; and, as they sank, they would press upon the molten mass beneath, and drive it slowly up to spread over the surface. Here it would ooze up through smaller chinks or holes ; there it would be pushed through vast gaps, which had been rent in the Earth's crust. 52. And now this fluid matter, thus pressed up from beneath, would cool and harden into rocks ; while the sunken portions of the Earth's crust would now make the beds of seas, forming hollows into which the new-made water would flow. And on the surface of such water, as well as upon the dry land, would still be ever dropping from the dense cloud that hangs about the Earth, fresh stores of fine matter, as one substance after another quitted its airy form of gas, and began to appear in a solid or liquid form ; and thus, partly by ' means of matter thus dropped into it, partly by means of other matter washed off the surface of the land, as rain began to fall, and rivers to flow, there would be formed by degrees, at the bottom of these first seas, beds of solid matter, mud, and sand. Such a bed as this is called a layer, or stratum, from a Latin word which means " laid " or " spread out ; " but when we speak of more layers than one, then, by the FIRST LESSONS IN SCIENCE. 39 laws of the Latin language, we must use the plural form, and say strata. Such strata, when pressed down from above by the weight of other matter, and pressed up from beneath, would in course of time become hardened into rock. 53. Suppose now that, through the cooling of the Earth's crust, more in some places than in others, a great crack or chink was made on the border of such a sea as this, of which we have just been speaking, or, perhaps, even under it, in its very bed. Down, down, at once into the abyss thus opened would rush the waters of the sea, and come into contact with the molten fluid beneath. And what would then be sure to happen ? Who does not know the fearful force with which water expands, that is, spreads out on all sides into steam, when even a small mass of it is changed quickly by intense heat ? "Who does not know that a common kettle, if the spout were plugged up and the top tied down, would be burst and torn to pieces by the steam, formed by a very little water, shut up inside and heated ? So would it be when the water of such a sea was heated by sudden contact with the red-hot mass within the globe. Though very little water may have entered by a narrow cleft or fissure only, it would be changed all at once into steam, and become a mighty giant, as it were, tearing up with fearful fury the whole bed of the sea above, hurling here and there the broken fragments of the crust, or piling them up in heaps, one upon another. 54. In this way we can conceive that the crust of the Earth would begin to be broken up, and covered over with hills and mountain-masses, so as quite to lose the smooth even form, which it may once have had when first launched into space. And the crust would cool more and more, as time passed on, and grow thicker and thicker all over, both by reason of this cooling from within, and also 40 FIRST LESSONS IN SCIENCE. by the constant dropping of matter tliat was still held floating in the form of gas in that thick cloiid. At last iShat cloud would itself be cleared away, when it had parted with its contents, except the air which we breathe, and the vapours which still float aloft from time to' time in the form of common clouds. And now, in course of time, the Earth's surface will have cooled enough to allow of plants and living creatures being placed upon it. And God gave the Word, and they were made. As He saw good He brought them forth, suited to live upon the Earth, not as it is now, but as it was then. And when He saw good, all these died off, and were seen no more. Some change took place in the state of things over the whole Earth, we cannot say what for certain — ^perhaps, some change in respect of heat and cold — not a quick sudden change, it may be, but a slow and gradual one — which caused all these living things of all kinds, that were first made, to die off and pass a;way, so that their very races came to an end and were seen no more. 55. And then God made new the face of the ground. He made other living creatures, and other plants; and ages again passed on, and changes took place. The Earth's crust got thicker as it cooled; some parts sank down as before, others were lifted up from beneath. And so new mountains were raised, and new seas were formed in the hollows ; and at the bottom of those seas was dropped new matter, washed off from the hills by rain, or driven up from beneath, from the mouths of fiery moun- tains, or other chinks in the crust. And, when God saw good, all this too was changed. All these living creatures also died off by degrees ; they, and their very races, passed away at last, and were seen no more. And then God made others, fit to live upon the Earth in the state it then had reached. And ages passed away, long ages, while FIRST LESSONS IN SCIENCE. 41 these lived on ; and the earth, cooled more and more, and its crust got thicker and thicker; and some lands sank down, as before, either slowly or suddenly, and became the beds of seas, while others were lifted up, and became mountains; and so the face of the Earth was changed once more, while new forms of rock were made in the ocean beds. Again and again all this took place. The old races of plants and living creatures died out and passed away, and new races were called into being, from time to time, by the Word of God ; and the face of the Earth was changed, and new forms of rock were made in the ocean beds. At last the Earth was fit for man to live on : and then he was formed and placed upon it, with all the living creatures, trees, and plants, that we now find around us. 56. We cannot pretend to explain each step of the wondrous process by which the great Earth was thus brought out of its first liquid form into its present state. But the above will give you some notion of the way in which, as philosophers believe, the changes upon its sur- face took place. Of these changes themselves we have the certain proofs before us. We have only to dig up stones buried beneath our feet in the Earth's crust, or to look at them as they stand bared to our view upon a mountain-side ; and we may read the tale which they tell us of what must have taken place on the Earth ages before the first man was made. We cannot, indeed, be sure of each minute point ; but we can be sure of the main truth of the matter. We are certain that the rocks of the Earth's crust must have been made in some such a way as this which I have told you, and that such rocks are still being made in the depths of the sea. We are certain that such races of plants and living creature have lived, and died, and passed away from the Earth, because we find their remains — the bones of beasts, and birds, and fishes. 42 PIEST LESSONS IN SCIENCE. and reptiles — the shells of snails and shell-fish, the wings of flies and other insects, the roots and trunks and leaves of trees and plants — buried up in immense numbers in the middle of hard stones dug out of the solid rock. 57. These remains are called fossils, or things dug up, from the Latin word fossus, dug. Sometimes these things are found unchanged in any respect from what they were when first buried up. Very often the particles of matter, of which the fossil thing was made at first, have been withdrawn one by one by the silent working of God's Laws, and particles of some other kind of matter have taken their place, yet so as still to preserve the exact form of the thing. In this way a bone, for instance, or a log of wood, may be turned to stone, the small particles of bone in the one case, and of wood in the other, having one by (5ne been taken away, and particles of stone having got into their place ; and yet the form of the bone and of the log will remain all the same. Such things as these are said to be petrified, or turned into stone, and the fossils are called petrifactions. Sometimes, again, there is merely a print of the plant or living creature, left once upon the mud or sand, .which has since hardened into stone. We may see before us, taken out of a solid mass of rock, the bones and tfeeth and scales of an animal, the markings on its skin, the exact form of its eye, the model of its softest parts — the stomach, for instance, with its very contents at the time of death, the bones of one creature being found within the body of another that preyed on it. All these are clearly seen, as if the very thing itself were before us that died and passed away with its whole race, thousands, or it may be millions, of years ago. We find the remains of fish so perfect, that not a scale is out of its place or wanting. The finest lines upon the wings of flies are fixed upon the stones, and sometimes their very colours. FIRST LESSONS IN SCIENCE. 43 58. And these are only some of tlie wondrous things which these rocks reveal. Most curious footprints are left of strange creatures that lived in those days, of monstrous frogs and enormous birds. In some places we have marks on stone, which show that the layer of matter of which it was made had dried and cracked before the next layer was laid down upon it. These open cracks have served as moulds, of which casts or copies have been taken in relief, as it is said, that is, standing out to view on the lower surface of the upper layer. These have now hard- ened into stone, and look not unlike the stone mullions of church windows, so that a person might almost think, on first looking at them, that they were made by the hands of man. The very ripple-mark is seen which the sea must have left upon the shore, as it does now upon a sandy beach, where the water is shallow, when the tide is going out. The mark so left by one tide must have hardened before the next came in. The new sand thrown over it did not destroy the marking ; it only covered it up, and itself took upon its under surface the form of the ripple it buried. And so now in quarries may be dug up stones, showing both the ripple itself and the mark made by it on the sand, which was spread over it by the next tide and buried it; but the sand, both above and below, is turned to sandstone. Nay, if one walks along a soft sandy beach after a heavy shower, he may see that the rain has pitted it all over with samll holes, each with the sand raised up, like a little cup, around it. And such holes as these have been found upon the surfaces of sand- stones which bear the ripple-marks. And these little oups are seen to have the ridge raised round them higher on one side than the other, which shows that the sand in those old days was driven up in this way by the, force with which the rain came, and helps us to tell the very 4i FIKST LESSONS IN SCIENCE. point fiom whicli tlie wind blew when these stones were made. 59. But there is something yet still more strange to be told. There are whole masses of rock, made up wholly of the cast-off ilinty skins of little creatures, so very minute that they look like the finest dust or flour to the naked eye ; and their true nature can only be seen when they are viewed by the help of a very strong microscope. This matter is called tripoli, and is used as a powder to polish stones and metals. In Norway a similar powder had long been used for food in time of famine, and Hence it had the name given to it of mountain-meal. It used to be thought that these were the skins of little animals. It is certain that the creatures to which they once belonged had life and proper organs by which that life was kept in being and passed on to others. But it is now thought that these creatures were plants of a certain kind, not animals. So very small are these flinty skins, that fifty thousand millions of them would only fill up a common thimble. And yet on these minute plates are seen fine graceful lines and markings which serve to divide them into classes. How awful is the Power and Wisdom of the Lord God Almighty! The smallest creature, made by His Hand, is perfect, and has a beauty which we may get a glimpse at, but which no eye can fully see but His who made it. 60. But during all these ages, passing all our powers to calculate or imagine, there was no man on the Earth to till it, no one to see its beauty and to tell the Greatness and Goodness of God. Hosts upon hosts of living crea- tures were brought into being, and died and passed away. Their very kinds appear no more on Earth. But there was no human eye to note their forms or take account of their doings. The forest-tree tossed its branches; the FIRST LESSONS IN SCIENCE. 45 meadow flowers bloomed ; bright colours beamed on every side. The Lord God " gave rain from heaven and fruitful seasons " for the multitudes of living things who then looked Tip to Him as they do now. Sweet scents were spread abroad, on every side sweet sounds were heard. And God was there, to see the works which He had made, and " behold ! they were very good." Yet, after all, Man is ; the Great Creator has brought him forth in His own good time, a creature utterly dif- ferent from any other, that has left traces of its being in the rocks of bygone ages — Man made in the likeness of God, Man to know God, Man made to have converse with God. It cannot be that he is meant, as the creatures of former ages, however monstrous or beautiful, only to do a passing work, to eat and drink, and live and die and perish. A being made in the image of God must be made for Eternity. His work upon Earth must be " to glorify God with his body, soul, and spirit, which are God's." His part is to be the Priest of Nature, to lift up, day by day, as he alone can do, a thankful heart and voice, and to bring forth the fruits of Truth and Love to the Praise of his Maker's Name. 46 FIEST LESSONS IN SCIENCE. PAET II. 1. All wHcli you have just been hearing is so strange, it so fills the mind with -wonder and awe when we think of it, that I must one day tell you something more ahout it — I mean about these traces which are left, buried up in the hard rock, of creatures that have once lived upon the Earth, and of the mighty changes that have taken place upon its surface in the ages long gone by. But I must do this in another book. I must now go on to tell you something about the Sun, and Moon, and Stars, and that branch of Science which teaches about these things, and which is called Astronomy, that is, the Law of the Stars. 2. And here let me first say that, besides the motion which the Earth has of turning round upon its axis once in twenty-four hours, which we call a day, it has another motion, that of going round the Sun, spinning ever as it goes, once in 365 days, which we call a year. And not only does the Earth go round the Sun ; all the Planets also do the same. The Sun is the great King, as it were, with his enormous bulk and mass, who rules all these lesser bodies. The Eixed Stars are all Suns, having light of their own. But the Planets all get their light, as the Earth does, from the Sun. And those which are nearest to the Sun get, of course, the most light and heat from him. Four or five of these Planets, as you have been told before, can be seen by the naked eye. But there are forty FIEST LESSONS IN SCIENCE, 47 or fifty more which, from heing either very small, or very far off from us, cannot be seen without the help of a telescope. These Planets all, like the Earth, go round the Sun in circles, or rather in curves which are very nearly circles, each at its own distance, some being nearer to the Sun than the Earth, and some farther off. Here is a Table of the distances from the Sun of the chief Planets, with the names by which they are known (names of old Greek and Boman gods and goddesses), and also of the length of their Years, that is, of the time they take to go round the Sun, each in its own proper circle. Table op the Eight Chief Plauets. Name. Distance from the Sun. Length of Year. Mercury .. .. 37 millions of miles 88 days. Venus 69 225 Earth 96 365 Mars 146 687 Jupiter 500 4833 Saturn 916 10759 Uranus 1842 30687 Neptune .. .. 2884 60127 3. Uranus and Neptune cannot be seen by the naked eye, being very distant from the Earth. But they are very large Planets, Uranus being about 64 times as large as the Earth, and Neptune 125 times as large. Saturn is also very distant, but he is not so far off as they, and being also very large, nearly 1000 times as large as the earth, he can be seen by the naked eye. But Jupiter and Venus are by far the most splendid of these stars, as seen from the Earth. Jupiter is the largest of all the troop of Planets, being .1331 times as large as the Earth; and, being always nearer to the Earth than Saturn, even when Saturn is nearest to us and Jupiter farthest off, he appears always bright and large. But when he is nearest to us — 48 FIEST LESSONS IN SCIENCE. when tlie Earth, and Jupiter, going round the Sun, each in the proper circle, happen to he on the same side of the Sun — then indeed he is a brilliant object in the sky. Hence the ancients gave him the name of Jupiter, the king of the gods. Venus was the Eoman name for the goddess of beauty, and they gave* this name to the second Planet on the list, which, though a little smaller than the Earth in size, is yet so near to us, and so near to the Sun also, basking, as it were, in the full blaze of his light, that she is always a very bright and beautiful Star whenever she is seen in the heavens. Being so near the Sun, however, she can only be seen in that part of the sky where the Sun is. Sometimes she is so bright that she can be seen even in the day-time. But the Sun's dazzling rays are most commonly too strong to allow her light to be seen by our eyes when the Sun is high. She is generally seen about sunrise or sunset, and is often a bright Morning Star in the East an hour or two before the Sun rises, or a bright Evening Star in the "West shortly after the Sun has set. At certain times Venus may be seen to pass between the Earth and the Sun, and to make what is called a transit, that is, a passage across the Sun's face, when she is seen clearly as a small round black spot. Mercury also is very close to the Sun, and, being only about one-fifteenth of the size of the Earth, he cannot be seen by the naked eye, except, now and then, just before sunrise or just after sunset, or when, like Venus, he makes a transit across the Sun's face. He goes, as you see by the Table, very nimbly round the Sun, four times while the Earth goes once. Hence he got the name of Mercury, since the Eoman god of that name was sup- posed to be the messenger of the gods, and to run with great speed. Mars is about one-seventh the size of the Earth, and, from its having a kind of ruddy colour — FIRST LESSONS IN SCIENCE. 49 perhaps from the red colour of the rooks upon its surface — it has had the name given to it of Mars, the Eoman god of war. 4. Between Mars and Jupiter lie more than forty small bodies, so small that they cannot be seen by the naked eye ; and on that account they are often called Planetoids, that is, Planet-like bodies rather than Planets. The largest of them is about 600 miles across, the smallest of them about 100 miles across. It would take 2000 of the former and half a million of the latter to make up a body as big as the Earth. If we subtract Mercury's distance from the Sun from the distance of each of the other chief Planets, as given in the Table, we shall obtain the fol- lowing numbers : 32, 59, 109, 463-, 879, 1505, 2847. Now it will be seen that each of these numbers is about double of the one before it, except that there seems to be a sort of break between 109 and 463, as if a number was wanting here to be the double of 109 (as, for instance, 218), and then 463 would be nearly the double of this number, and the row of numbers would be complete, each the double of the one next before it. This led some persons to think that there must be a planet somewhere between Mars and Jupiter ; and, in searching for it, the first little Planetoid was found on January 1, 1801. Up to the year 1845 only four such small bodies had been discovered. But since tJien almost every year has added to their number, and there are now some forty or fifty of them known, and perhaps there are more which will yet be discovered. They are supposed, with good reason, to be broken pieces of some larger Planet, which once went round the Sun between Mars and Jupiter, but was burst from some violent internal convulsion, or from some other cause. 5. Uranus was discovered by Sir William Hersohel in 1781. Neptune was discovered in 1846 in. a very re- 50 FIEST LESSONS IN SCIENCE. markable way. It was long known that the motion of Uranus in its path was not qnite regular — that it was sometimes a little before and sometimes a little behind the place where it ought to have been, according to the calculations of astronomers. And it had been suggested that this might possibly arise from its being attracted by some other Planet not yet known, whose orbit was outside that of Uranus. This was a mere guess, however, and for many years no one thought of going further into the question. It was taken for granted that if there was such a Planet it would some time or other be found. However, in the year 1846 two very able astronomers, one a Frenchman named Le Verrier, the other an Englishman named Adams, each not knowing what the other was doing, made at the same time a calculation on paper, by observing how much at different times the motion of Uranus was disturbed, to see if they could not reason out what must be the size and place of a Planet, whose orbit should be outside the orbit of Uranus, to produce these effects. They both went through the very long and diiEcult enquiry, and they agreed in fixing nearly the same place in the sky as the place where such a Planet would be seen at a certain time, if it could be seen at all. One of them (the Frenchman) felt so sure of his ground that he wrote to a friend and said, "Look there, and you will see it." That friend (Or. Galle of Berlin) did look, as he was bid to do, and the very first night that he turned his telescope to the spot, there he found the Planet, close by the very place which had been iixed for it. The ancients knew only five of the large Planets in the Table, namely, Mercury, Venus, Mars, Jupiter; and Saturn. They did not know that the Earth was a Planet at all. They thought that it was fixed, and that FIRST LESSONS IN SCIENCE. 51 the Sun and Moon went round it. So they joined these two with the five, and said there were seven Planets. 6. Thus the Earth is one of a large company, which wait, as it were, upon their lord the Sun. He resides in the middle of his court, and makes them all go circling round him, each in its own proper path and in its own proper time. Hence these are not, like the Fixed Stars, fixed in the sky, seeming only to rise and set, because the Earth turns round on its axis, but really not moving, and always seeming to rise and set in the same points of the sky. But the Planets move about in the sky with their own proper motion. Like the others, they seem to rise and set. But they change from day to day their places of rising and setting. They have motions of their own, and are seen wandering as it were about the sky — though none of the greater planets go out of a certain belt of the sky, called the Zodiac — and hence they have got the name of Planets, that is, Wanderers. The ancients, indeed, thought that they wandered about wildly, as in fact they seem at first sight to do. For sometimes they appear to go forward, sometimes backward, sometimes more quickly, sometimes more slowly, and sometimes they appear to stop still. Mercury and Venus, it is true, are kept within their tether, as it were, and must stay near the Sun. But the others are found roving, as it were, " at their own sweet will," Sometimes they are seen in the same part of the sky as the Sun, and then they will appear smaller. At other times they are seen in the opposite part of the sky to that in which the Sun is, and they will seem larger. 7. The ancients could not explain these motions. They tried all sorts of schemes to account for them. But, as they would insist upon putting the Earth as the centre, about which all the others were to move, they never M 2 52 FIKST LESSONS IN SCIENCE. could see the reason of all the facts which they obserred. There was a famous ancient, Pythagoras (about B.C. 500) who put forward the true notion of the Earth going round the Sun. But the people of those days would not listen to him. They had not the means for knowing the truth which we have now. They had no telescopes, and there- fore no such perfect knowledge of the heavens as we have. So another great philosopher, Aristotle, opposed the views of Pythagoras, and they were set aside entirely for nearly 2000 years. Ptolemy, an Egyptian astronomer of Alex- andria, who lived about a.d. 150, wrote a book to explain the motions of the heavenly bodies, on the notion that the Sun, and Moon, and Planets, all went round the Earth, with a curious arrangement of their orbits. His was a very complex system. It answered just for a little while, and then all went wrong again. The Planets got all out of their places, and new schemes were devised in order to keep them right. 8. Nothing, however, availed, till at last in a.d. 1543, a Prussian clergyman named Copernicus, who was a great astronomer, brought forward again the system of Pytha- goras, and boldly asserted that the Sun was the centre of the system, and the Earth and other Planets went round him. He did not see, however, that they went round in simple circular orbits. Even yet there were no tele- scopes, and no such clear knowledge of the motions of the heavenly bodies as now any child may possess. But what he did publish to the world had been the result of many years of profound study, and of a multitude of observa- tions. These he had made with the rude means at his command in the little town where he lived amidst the marshes, where he was, however, often hindered in his work by the damp steaming fogs that rose from the river Vistula and a lake hard by. For thirty-six years had he FIRST LESSONS IN SCIENCE. 53 thus been engaged, and tiien at last, when he had proofs enough of the truth of what he said to convince his own mind, and perhaps, as he hoped, to convince others, he published his book, being now quite an old man, in his seventy-second year. The first printed copy was put into his hands a few hours only before he died. So he never saw the effect which it produced upon the minds of men, and the mighty change which in due time it wrought in their views, not only with regard to the motion of the Earth, but at length with regard to the whole vast Universe. By this system of Copernicus all the seem- ingly wild movements of the Planets are brought into perfect order, as soon as we know that they are all going round the Sun in the centre, and that the Earth also among them is going round him, and so we see them moving while we are moving also. It can be easily shown, as I will show you farther on, that this is quite enough to cause all those strange appearances of forward and backward motion, or sometimes of stopping still. 9. But why did I say that the Sun lords it, as it were, over his troop of Planets, and makes them go round him ? You will partly see why if you will think of what takes place when you are swinging round a stone fastened to the end of a string, the other end being held in your hand. The stone, you know, will go round in a circle. But why ? Because of two things ; because it has a forward motion of its own, which you have given it, and because also the string is held in your hand, and you feel the stone pull upon you, trying to get away, and you resist that pull and hold it fast. If you did not do so it would fly off at once in the direction in which it was moving at the moment you let the string go. Observe, then, that two things are needed in order that the stone should go round in this way. It must have a forward 54 FIRST LESSONS IN SCIENCE. motion of its own given to it, and it must also be held back by the conBtant pull of the hand. Now this is just what takes place when the Earth, or any other Planet, goes round the Sun. The Great Creator, when He first, by His Almighty Word, launched forth, as it were, the ball of the Earth into the regions of space, gave it a forward motion of its own. And, with this motion only, it would have gone forward in a straight line in the same direction for ever and ever, unless it came across some other body, or was stopped in some other way by the same Almighty Word which set it first in motion. But, besides this forward motion of its own, there is the huge body of the Sun attracting, the Earth, pulling it constantly towards itself, like the pull of the hand upon the stone. And this pulling power is just exactly strong enough to bend the Earth's path from the straight line in which it would have gone on into the curved path which it is forced to take. So these two things together — the Earth's own forward motion given to it at first, which it still retains, and the Sun's attracting power — are the causes of the Earth's going round the Sun in a circle. 10. And the same thing, of course, may be said of any other of the Planets. Strictly speaking, it is true the paths of the Earth and Planets are not exactly circles. But they are so nearly so that, for the present at all events, we may speak of them as such. And all the chief Planets go round nearly in the same plane as that in which the Earth goes round, and which is called the Ecliptic ; so that by the help of what you have read in (4) you may draw all the circles on a flat piece of paper. Thus take any small radius to represent Mercury's dis- tance from the Sun (37 millions of miles), and draw his orbit. Then stretch out Mercury's radius till the increase makes it to be nearly as long again (69 millions of miles), FIRST LESSONS IN SCIENCE. 55 and so you will get at Venus's radius. Stretch, oiit this till the increase is double the former increase, and this will give us the Earth's distance. Stretch, out the Earth's radius till the increase is double the last increase, and this will give us Mars's distance. And so on, the next step giving us the place of the Planetoids, the next that of Jupiter, the next of Saturn, the next of Neptune. And thus we shall have an idea of the orbits in which the Planets of the Sun's troop, or the Solar System, as it is called, are moving constantly round him. And they all go round in the same direction, which direction, as seen from the North side of the Ecliptic, is from the right hand of a man in front of him towards his left, or opposite to that in which the hands of a watch go. 11, Outside the orbit of Neptune, as far off as your paper will allow, you may draw a circle to represent the region of the nearest Fixed Stars. And yet this distance, however large may be the border left upon your paper for it, will be vastly too small. Eor Neptune's distance from the Sun is about 3000 millions of miles, and that of the nearest Fixed Star, as we know, is 20,000,000 millions of miles, that is, it is nearly 7000 times as great as Neptune's distance. You see then what an awful vacancy surrounds on every side the Sun and his little family. There may be a distant Planet or two yet to be found, circling out- side the orbit of Neptune. But in all the vast space around us on all sides, for 7000 times the distance of Neptune from the Sun, there is, as I have said, an awful void. We are all alone by ourselves, as it were, in the vast Universe. But each twinkling point of light that we see, even each one of those which are scattered by millions in the sky, like glittering dust in that long trail of light, which is called the Milky Way, is a Sun like ours, with his family of Planets also, all by himself in 56 FIRST LESSONS IN SCIENCE. space, separated by the like vast interval from fill other Stars. 12. Thus, then, as I have said, the whole Earth, with all the people and things upon it, is not only spinning round upon its axis once in 24 hours, hut going round the Sun in its orbit once in 365 days. And yet we are not conscious of the motion in either case. We are carried along with the Earth, and the motion is so steady, that like the fly, of which we spoke before, when the waggon is turned, we do not at aU. perceive it. The air which sur- rounds us, and which we breathe, goes round, as we do, with the Earth, as if it were a part of it. If it did not, we should feel it as a constant mighty wind of fearful violence, more terrible than any of which we can con- ceive. For let us see at what rate we are really moving. Our motion is made up of two— one, which we have, because the Earth is spinning round on its axis, and another which we have, because the Earth is going round the Sun in its orbit. Now the motion which a man has from the former cause will not be the same at all parts of the Earth. If, for instance, he could stand with his feet upon the Pole itself, he would not move at all as the Earth went round, except just to be turned round in his place, as he stands, once in 24 hours. If, again, he stands on any part of the Equator, he will be carried round, as the Earth goes round, through a length equal to the whole circumference of the Earth at the Equator, which we know to be 25,000 miles, once in 24 hours, that is, he will be carried round at the rate of more than 1000 miles an hour. If he stands anywhere between the Pole and the Equator, he will be carried round at some rate less than this, but faster and faster as he gets nearer to the Equator. 13. But let us now look at the motion which a man has FIRST LESSONS IN SCIENCE. 57 because of the Earth's motion round tlie Sun in its orbit, ■which is the same for all of us in all parts of the Earth. Since the Earth's distance from the Sun, that is, the radius of its orbit, is 96 millions of miles, the diameter of its orbit will be twice this, or 192 millions of miles, and its circumference will be three and one-seventh times this latter number, that is, it will be about 600 millions of miles. This, then, is the distance through which we are all carried with the Earth, every year, through the vast regions of space. And if we divide this by 365 we shall get the distance through which we are carried in a single day, about 1,644,000 miles ; and, dividing this by 24, we find the rate at which we go in an hour to be about 68,000 miles, or more than 1000 miles a minute. Now a gentle pleasant breeze blows at the rate of about 4 miles an hour, a strong wind at the rate of 35 or 40 miles an hour, a storm at the rate of 60 miles, and the most terrific hurricane at the rate of 100 miles an hour. Here are we moving, every one of us, at the rate of 1000 miles in a minute, and we do not feel, on account of this motion, so much as a breath of air on our faces. This shows that the air must be moving with us. If it were not so — if we only, and the Earth, and the things on it, were moving, while the air was standing still — we should be torn to pieces in an instant, by being carried violently against it, with a force six or seven hundred times as great as that with which we may have felt the air strike us in the most tremendous storm. There are certain winds, however, called the trade winds, which do partly arise from the Earth's turning round upon its axis. I will explain how this happens farther on in this book. 14. It is easy to find the rate at which any one of the other Planets goes round the Sun by doubling its distance from the Sun, and then taking three and one-seventh 58 FIEST LESSONS IN SCIENCE. times the distance so found, by which we obtain the length of its orbit. Then dividing this by the number of days in its Year, we find the number of miles it travels in a day. In this way we should find that Mercury's rate per day is about 2642 thousands of miles, or 110,000 miles per hour, so that he moves nearly twice as fast as the Earth, whereas Neptune's rate per day is about 300 thousands of miles, or only 12,000 miles per hour, about one-fifth of the rate at which the Earth moves. And so it would' be found that those which are nearest to the Sun go quicker than those which are farther off; as, of course, they must do, in order not to fall into the Sun, drawn, as they are, by his mighty attraction, which those that are nearest to him feel the most. All the Planets also, it is believed, and the Sun and Moon also, turn round, as the Earth does, upon their axis, and turn, as she does, from West to East. I say, it is believed that they all do so, because it can be seen that the Sun and Moon and most of the Planets do so. But the Planetoids are too small, and Mercury is too near the Sun, and Venus looks very hazy, as if wrapped in a cloudy, misty covering, so that these cannot be seen distinctly to be turning round. However, there is little doubt that they do, as the rest do. 15. Now let us see one or two things which will follow from the fact that the Earth has this double motion, namely, that of going round the Sun in her orbit, and that of spinning round as she goes. But, first, it will be well that you should know the meaning of one or two terms which are often used in speaking of such matters as these. So let us draw a circle to represent the Earth's orbit, and put the letter S for the Sun in its centre. And let us mark four points with the letters A, B, C, B, at equal distances in the orbit, to represent the Earth's place, TofOAX page 59. FIRST LESSONS IN SCIENCE. 59 as she goes round the Sun at four different parts of the year, at intervals of three months, as in Spring, Summer, Autumn, and "Winter. Draw the two diameters AC, BD, which will, of course, divide the whole circle, as well as its circumference, into four equal parts. Now the amount of opening between two lines, which meet each other, is called an angle. Thus the opening ASB, between AS and BS, is an angle ; so is the opening BSO, or GSD, or ASD. Observe, I do not mean the space ASB, which is a quarter of the whole circle, and is called a quadrant, but only the opening between the two lines, which would remain just the same if the lines were lengthened out beyond A and B to be each a thousand miles long, or if they were shortened to be each only a thousandth part of an inch long, or if one were lengthened and the other shortened. It will make no difference at all in the size of the angle ASB if we alter in any way the length of the two lines which contain it, and if we alter either one or both of them. The angle would only be altered by making the opening greater or less between the two lines. Thus, if between the radii SA and SB we draw another radius SE, then the angle ASB is different from the angle ASB, and is plainly less than it, while the angle CSE is plainly greater than the angle CSB. 16. Now the angles ASB, BSG, CSD, DSA, are all equal to one another ; and whenever this is the case, that two straight lines, like AC, BD, cross one another so as to make equal angles at the point where ihey meet, these angles are called right angles, and one of the two lines is said to be at right angles or perpendicular to the other, that is, AG is perpendicular to BD, and BD to AG, and if a line be drawn from any point in a flat piece of paper (as, for instance, the point S in this figure), so as to project from the face, of the paper, and be at right angles to every 60 FIKST LESSONS IN SCIENCE. straight line in the paper that meets it (as, in this case, SA, SB, SC, and SD), such a line is said to be at right angles, or perpendicular, to the plane, or flat surface, of the paper. On the other hand, if two lines are drawn in the same direction, so that, when produced ever so far, they will never meet, they are said to be parallel to one another. And a line is parallel to a plane when it never meets it, however far it may be produced. In like manner, one plane may be parallel or perpendicular to another. 17. Again, it is usual to divide the whole circumference of a circle into 360 equal parts, called degrees ; so that each quarter of the circumference, as AB, will contain 90 of these degrees, which is denoted thus, 90°. So also BO, CD, DA, contain each 90°. Any piece of a curved line is called an arc (from arms, a bow). Hence AB is an arc, and BG, CD, DA, are all arcs. So AE is an arc ; and if E be the mid-point of AB, then the arc AE will contain half of 90°, that is, 45°. So, too, BE will contain 4.5°, and CE will contain 135°. Or if AE be the third part of AB, then it will contain only 30° ; if AEhe the fourth, fifth, or sixth part of AB, it will contain 22^°, 18°, or 15°. If we take AE such that its length shall be exactly equal to the length of the radius SA, then it i^ found that AE will be nearly two-thirds of AB, and will, in fact, contain about 57i°. 18. But now it is very plain that the angle ASE will be just the same part of the angle ASB that the are AE is of the arc AB. If AE be the half, third, or fourth of AB, then the angle ASE will be the half, third, or fourth of the angle ASB. Hence it has been agreed to divide the right angle ASB into 90 equal angles, and to call them by the same name, degrees. So that each of the angles ASB, FIRST LESSONS IN SCIENCE. 61 BSC, &c., contains 90°, and the whole four of them con- tain together 360° ; and if tlie arc All he the half, third, fourth, &c., of the arc AB, then the angle ASE will be the half, third, fourth, &c., of the angle ASB, and will contain 45°, 30°, 221°, &c. So, too, if AE be equal in length to the radius of the circle, and therefore, as above stated, contains 57^°, the angle ASE, which is opposite to AE, or subtends it at the centre of the circle, will also contain 57J°. 19. This relation between the angle at the centre of a circle and the arc of the circumference which subtends it is expressed by saying that, in the same circle, an angle at the centre is proportional to the arc which subtends it, or by saying that two angles at the centre of a circle have the same ratio, or Jtave the same proportion to one another, as the arcs which subtend them, or by saying that one of the two angles has the same ratio to the other as the arc which subtends the first angle has to the arc which sub- tends the second. So the price of a quantity of sugar is proportional to the weight, a man's wages is proportional to the number of days he works, &c. By such an expres- sion in all oases it is meant that if one of the two things which are proportional to one another be doubled, halved, &o., then the other will also have to be doubled, halved, &-c. 20. But astronomers are obliged to be very careful in their calculations, and to notice much smaller angles than degrees. So they have agreed to divide each degree, whether of arc or angle, into 60 smaller divisions called minutes, and each minute into 60 smaller still, called seconds ; and they denote minutes by (') and seconds by ("). Thus, instead of 22J°, as above, they may write 22° 30' ; and an arc or angle containing 57 degrees, 17 minutes, 45 seconds, would be written down 67° 17' 45". 62 FIRST LESSONS IN SCIENCE, This is the more exact size of tlie arc, wMcli in any circle whatever is equal in length to the radius of the circle (and which was stated above to he about 57^°, or 57° 15'), and therefore, also, it is the size of the angle which sub- tends such an arc at the centre of the circle. And you must note that the actual length of the arc in this case will vary according to the size of the circle or its radius. But the size of the angle of 57° 17' 45" remains the same whatever may be the length of the lines containing it, and whatever may be the size of the circle. 21 . And now let us return to the Earth and her motions, and the effects which follow from them. And first let me explain, as I promised in (8), the reason of the strange movements of the Planets, as they appear to our eyes, sometimes going forward, sometimes going backward or retrograding, and sometimes standing still. Let us take, as an- example, the case of Jupiter. Now you will see by the Table in (2) that the radius of Jupiter's orbit, that is, his distance from the Sun, is about five times that of the Earth's orbit. Draw two circles about the same centre, so that the radius of one shall be five times that of the other. Let the outer circle represent Jupiter's orbit, and the inner circle the Earth's ; and put S in the centre to represent the Sun, Draw a radius SEJ, cutting the Earth's orbit in E and Jupiter's in J ; and suppose that, at some one moment, as they are going round in their orbits about the Sun (in the opposite direction to that in which the bands of a watch move), the Earth is at E and Jupiter at J. 22. Now Jupiter goes round the Sun in 4333 days, and the Earth in 365 days ; that is, Jupiter takes about twelve times as long to go round the Sun as the Earth does. Hence, while the Earth goes through a quarter of her orbit, Jupiter will only go through about a twelfth part Tofaaepage^i. FIRST LESSONS IN SCIENCE. 63 of a quarter of his. Divide the orbits into quarters by two lines through S, crossing each other, one of them being JUS produced. Put letters F, G, H, at the ends of the quarters of the Earth's orbit; and divide the first quarter of Jupiter's orbit (the quarter next to J, through which the Planet will first move) into twelve equal parts ; and put letters K, L, M, at the ends of the first three of them. Then when the Earth is at E and Jupiter at J, Jupiter will be seen from the Earth in the direction EJ produced, far away among the Stars. When the Earth, gets to F, Jupiter will have got to K, and will therefore be seen from the Earth in the direction FK produced, that is, it will seem to have gone bachward. When the Earth gets to 0, Jupiter will have got to L, and will be seen in the direction OL produced, so that it will now seem to have gone forward, and somewhere between the last two points of 7)bservation there will be a point where Jupiter, as seen ftom the Earth, will seem neither to go backward or forward, but to be stationary for a time. When the Earth gets to S, Jupiter will be seen in the direction jBTil/ produced, and will still seem to have gone forward. 23. Next let us suppose a person standing, on a clear evening, in any part of the world, in a wide plain, or in a ship out at sea, and looking up at the Stars. Now, first, it is plaia that he will not see at any one moment all the Stars that are in the whole firmament — I mean, all those which can be seen in all parts of the world by men's eyes. He will only, at most, see about half of them, those which at that moment happen to be in the sky over his head, for his view will be bounded by the circular line of which we spoke before, whose proper name is the horizon, or bounding line. The great body of the Earth beneath his feet will hide from his sight the other half of them, those 64 FIRST LESSONS IN SCIENCE. whioli are below his horizon. But then, as the Earth turns round from West to East, some of the Stars which he saw at first will be hidden from his sight, and seem to go down in the. West and disappear, and others will appear in the East. And this will be going on all night and all day too ; though, when the Sun rises, the glare of his light will prevent the Stars from being seen with the naked eye. Venus, indeed, and even Jupiter, can often be seen in broad daylight by one who knows where to look for them. But all the brighter stars, and many of fainter lustre, can be seen by day through a good telescope, so contrived that no sunlight, if possible — no light but that of the Star to which it is pointed — may pass down the tube to the eye of the observer. And bright Stars may be seen by day from the bottom of a deep well, or tall chimney, or the shaft of a mine. 24. But now comes a question. "Supposing that a man stood during the whole 24 hours so as to see all the Stars which would thus be brought into view at the place where he stands, by day and by night, would such a person see all the Stars — all that can be seen by man on Earth — all that are within reach of the human eye ?" Yes, if he were standing at some point of the Equator : but not otherwise. If he were standing in the Equator, with his face towards the East, he would have the North point on his left hand, and the South point on his right hand ; and, one after another, all the Stars in the whole heaven would be seen by him, rising at different points afl. along the whole line ,of the horizon in front of him, from the North point on his left to the South point on his right. And, as the Earth turned round towards the East, these would all seem to move towards the West, describing half-circles — those most nearly right in front of him describing large circles, which go right up over his head FIRST LESSONS IN SCIENCE. 65 — those more towards the left or right describing smaller circles, looking smaller and smaller as they rose more near to the North or South point. All the Stars, which rose at any moment, he would see taking just twelve hours to describe their half-circles, whether large or small, and so they would set and disappear ; and in the course of the twenty-four hours all the Stars in the whole visible Heavens would thus be brought under his view. All this, it is plain, arises from the Earth turning round upon its axis, which lies in the direction North and South with the Poles in his horizon. If we suppose the Earth's axis lengthened out beyond the Poles on both sides, to reach the Starry Heavens, the points in which it will seem to meet it will be called the North and South Poles of the Heavens. 25. Now let us suppose the man to stand upon one of the Poles of the Earth, say the North Pole. As before, at any one moment, he would see only half the Stars in the firmament, the rest being hidden from him by the body of the Earth under his feet. But now, as the Earth turns round, no more Stars will come into view. The Stars which he saw at first will seem to go round him in circles, never rising or setting, but always remaining at the same distance from the horizon. Those directly over his head will be describing very small circles, those near the hori- zon very large ones ; but all will complete their circles in the same time, namely, that in which the Earth goes round on its axis. The Earth's axis is now right under his feet ; and the North Pole of the Heavens is over his head. 26. Lastly, suppose the man to stand in some other part of the Earth, and to watch carefully the motions of the Stars — the motion, that is, which they seem to have from East to West, because of the Earth going round upon her axis in the opposite direction from West to East. bb FIRST LESSONS IN SCIENCE. What new will he behold ? We shall see ■ this best, perhaps, if we suppose the Earth really to stand still, and the starry vault really to go round, as it seems to do, upon its axis, that is, upon the line which joins the North and South Poles of the Heavens. Wherever the man is, one of these Poles will now be somewhere above his horizon. There may be no Star to mark exactly its place in the sky, though, indeed, there is a Star, very near the North Pole of the Heavens, known as the Pole-star, which serves to point out its place. But there such a pole is, tke point where the axis of the Earth produced seems to meet the starry vault. And in the' sky on the opposite side of the Earth is another such Pole. And the axis, about which the hollow sphere of the Heavens turns, is the line which passes along the Earth's axis from one of these Poles to the other. Now, as the Starry Heavens revolve about this axis, the observer will see those Stars which are nearest to the Pole circling about it continually, never rising or setting, but going through the whole daily circles in his sight. At last, there may be seen a Star, far enough from the Pole for its circle to be so large that it just grazes the horizon on one side of him, either to the North or South, . as the North or South Pole is that which is seen by him. And all the Stars which are farther off from the Pole than this will ri^e and set, only describing portions of their circles in his sight, these portions getting smaller as the Stars are farther from the Pole. 27. Now let us look again at the figure which we drew in (15), where the letters A, B, C, D, represent four places of the Earth going round the Sun in her orbit, the Ecliptic (in the direction opposite to that in which the hands of a watch move), at the four quarters of the year. Draw, as in (11), a circle of stars far outside the Earth's orbit, to represent the region of the Fixed Stars. Then, FIRST LESSONS IN SCIENCE. 67 when tite Eartli is at A, it will be dark, of course, on that side of the Earth which is turned away from the Sun ; and, therefore, at midnight, a person will be able to see only those stars which lie in that part of the Starry Heavens which is on the side of BAD. Those about B will be beginning to set to him, as he is being turned away from them by the spinning motion of the Earth. Those about B will be beginning to rise to him, as he is being turned towards them. Those about A will be seen the whole night long, and are now, at midnight, midway between rising and setting. This, of course, is only true of those Stars which do rise and set to him. The Stars which circle around the Pole and never rise or set to him, will be seen by him through that half of their course which is on the same side of the Pole as A is from S. The other part of their course they will perform in the day- time, when he cannot see them.' So again, three months after this, when the Earth will have reached B, he will see at midnight the Stars on the side of ABC ; and when the Earth has got to C, he will see at midnight those on the side of BGB. Those, which he saw when at A are now only to be seen, if seen at all, in broad daylight, because, when he is turned towards them, he is turned also towards the Sun. Except, of course, the circumsolar Stars (those which circle about the Pole), which he will still see the same as at A ; only now he will see them in that half of their course which he could not see when at A, 28. If we could imagine the Stars to be seen while the Sun is shining, or if we could look through one of the best telescopes we should always see him, from the earth, sur- rounded by Stars, as the Moon is at night, and seeming to be moving among them, by reason of the Earth moving round in her orbit. Thus, when the Earth is at A, the F 2 68 FIEST LESSONS IN SCIENCE. Sun will seem to lie among the Stars beyond C. He is really not among them, for they are at a vast distance beyond him. But it would look so to our eyes ; just as the Moon seems to be moving about among the Stars, though they are so far beyond her. Now the Stars, through which the Sun seems thus to travel from one end of the year to the other, have been, in ages long ago, by old Hindoos and Egyptians, formed into groups, to which certain names have been given by the ancients, which names are still retained. The name is given in each case from some fancied likeness, in the arrangement of the Stars of each group, to the figure which it expresses. Such groups have been formed by men's fancies all over the sky, and are called Constellations. They are useful for pointing at once to the place of a Star, if we know that it belongs to any particular part of such a group. Thus there is a famous group of Stars near the North Pole which form the figure of a Great Bear ; and in the South- ern regions of the sky there is another bright constella- tion, making the figure of the Southern Cross. And it is convenient to refer to a Star, as being in the tail of the Great Bear, or in the foot of the Southern Cross, &c. / 29. These groups, through which the Sun seems to travel, have mostly the figures of animals, and are called the Constellations of the Zodiac — this word Zodiac (from a Greek word, zodion, animal), being the name given to a narrow belt of the sky, within which the Sun, Moon, and larger Planets, all appear to move. The Constellations of the Zodiac are twelve in number, and each is supposed to fill an equal length of the sky, so that the Sun takes about 30J days in passing through each of them. The names of these Constellations in Latin and English are as follows : — FIRST LESSONS IN SCIENCE. 69 Aries, the Earn. Taurus, the Bull. Gemini, the Twins. Cancer, the Crab. Leo, the Lion. Virgo, the Virgin. Libra, the Balance:' Scorpio, the Scorpion. Sagittarius, the Archer. Capricornus, the Goat. Aquarius, the Water-bearer. Pisces, the Fishes. 30. Next let us see how we may account for those changes, which we observe in the length of the day and night, at different parts of the year, and for those which take place in the seasons. Consider, first, that if the Earth's axis were kept always perpendicular to the plane of the Ecliptic, as she went round the Sun in her orfeit, there would be no such changes at all. For, by her turning round on her axis, every place on her surface would be brought under the Sun's rays for twelve hours, and turned away into the darkness for twelve hours; and so there would be no difference in the length of the day and night all the world over, and no difference in the seasons. Only the places upon the Equator would be much hotter than those near the Poles, for every part of the Equator would be brought, as the Earth turns round, not only under the Sun's rays, but directly under them. The Sun's rays at noon would fall right down upon the heads of people living on the Equator. Whereas, nearer the Poles they would reach the surface of the Earth in a slanting direc- tion, even at mid-day, just as they would do at the Equator about sunrise or sunset. Hence the Earth about the Poles would not take in so much of the heat as at the Equator, and would not be so thoroughly warmed ; so that it would be always intensely hot near the Equator, but cooler and cooler towards the Poles. And, as I have said, there would be no difference in the length of the day anywhere throughout the Earth. 31. But God has ordered otherwise in his Goodness and 70 FIRST LESSONS IN SCIENCE, Wisdom. He has set the Earth's axis not perpendicular to the plain of the Ecliptic, but sloping towards it. And he has bid the Earth go round the Sun, with its axis always pointing in the same direction, or parallel to itself. And so, by making it turn about such an axis as this, He has provided that all these changes shall be produced, which minister so much to our welfare and happiness, Let me show you how this is brought about. Suppose, then, the Northern end of the Earth's axis, which before we had placed perpendicular to the plane of the Ecliptic, to be pulled over towards the Sun, through an angle of 23° 28', that is, through about one-fourth of a right angle ; by which, of course, the Southern end will be moved away from the Sun through the same angle. This is the position which the axis of the Earth has about June 21. It is now inclined to the plane of the Ecliptic and it will keep the same position as regards that plane (though not, of course, as regards the Sun), remaining always parallel to itself, while the Earth goes round the Sun in its orbit. 32. Such, then, is the axis, inclined thus to the plane of the Ecliptic, about which the Earth is daily turning. Now, as it turns round, with one half bright with the Sun's rays, and the other half turned away from the Sun, and shaded in darkness, you will see that the parts about the North Pole, which is turned towards the Sun, are never turned away from the Sun's rays into the darkness, though they turn round the Pole as the Earth turns round. At this time of the year, then, there is constant daylight to all these parts of the Earth. There is no night ; but the Sun seems only to describe a circle in the sky during the 24 hours. He will be at the lowest point of the circle at that time, which corresponds to midnight in other parts of the Earth ; and he will mount up higher and higher, FIEST LESSONS IN SCIENCE. 71 till at midday he will get to Hs highest point, and then dip down till he reaches the lowest point again, without ever setting. But, though there is constant daylight in these parts at this season of the year, yet the Sun's rays fall very slanting, and do not supply much heat. 33. Now, if you will look at the other Pole, the South Pole, you will see that it is turned away from the Sun, as I have said, and forms a portion of the dark side of the Earth ; and all the parts near it never come out of the darkness, though they go round the Pole as the Earth goes round on its axis. While, then, the Northern polar regions are having day without night, the Southern polar regions are having night without day. The people who live there see no Sun rise or set at this season. Only the Moon and the Stars light up their darkness with brilliant flashes of splendid light, called the Aurora, which streams quivering up the sky at times in ceaseless glimmerings. And this state of things will continue at any place near the South Pole, till the Earth has gone on far enough in its orbit round the Sun, for the position of the place to be so changed with respect to the Sun, that, as the Earth turns round on its axis daily, the place will be brought out of the darkness into the light of the Sun's rays. First, for a few moments at noon, the Sun will just peep above the horizon of such a place. And then, day after day, it will rise earlier and set later, and so they will see more and more of its daily circle, till at last they will see the whole of it, and they will have passed out of perpetual night into perpetual day, while the Northern Polar regions have now passed in their turn out of their long day into as long a night. This will be when the Earth has got to the oppo- site part of her orbit around the Sun, about December 21. And you will see that the South Pole will now be turned towards the Sun, and the North Pole turned away from it. 72 FIRST LESSONS IN SCIENCE. '34. At the Poles themselves, there will be six months of contimial daylight, and six months of contimial dark- ness during the year. At any other place in the Polar regions, the time, during which there is constant day, will be longer according as the place is nearer to the Pole ; and the time of constant night will always be the same as that of constant day. So that in some places the Sun is wholly lost to view for four months at a time, in others for two months, in others only for a month, or a week, or even for a single day only, if the place happens to be just on the edge of the polar regions. These regions about the North Pole are called the Arctic Kegions, from the Greek word Arctos, for Bear ; because, as you have been told, the constellation of the Great Bear (and another also, called the Little Bear), is very near the North Pole of the Heavens. The opposite regions of the globe, about the South Pole, are called the Antarctic Eegions. If circles are drawn on the surface of a globe, passing through the North and South Poles, the Polar regions extend for arcs of 23° 28' along these circles in all direc- tions from each Pole, this being, as you will remember, the number of degrees in the angle, through which the Earth's axis is pulled down from the direction perpendicu- lar to the plane of the Ecliptic. And at that distance from the Poles you will see drawn, on any globe or map, two dotted lines, which are called the Arctic and Antarc- tic Circles, and which mark off those regions, where, at certain parts of the year, the Sun never rises or sets. Hence, since these regions are so long at a time without the Sun, and when they do come under his rays, receive them in so slanting a direction, they are always very cold indeed, and are for ever covered with ice and snow. 35. Now let us see what happens about June 21, at other parts of the Earth's surface. All these, you will see, FIRST LESSONS IN SCIENCE. 73 as the Earth turns round, will pass daily out of light into darkness, and out of darkness into light ; that is, the people living in such regions will see the Sun rise and set daily. Only the more Northern parts wiE remain in the Sun's rays, as the Earth turns, for a longer time than the Southern, and get more of daylight and warmth. The Northern will get more light than darkness, more day than night ; the Southern will get more night than day. In other words, it will he Summer in the Northern half of the globe, and the days will he long, and the nights short ; while it will be winter in the Southern half of the globe, where the days will be short and the nights long. Since the Earth's axis has been pulled down towards the plane of the Ecliptic through an angle of 23° 28', of course the Equator will have been pulled down under that plane through the same angle. And so you will see that, as the Earth turns round on her axis, the Sun's rays strike full upon the heads of all the people who live upon the Earth in any place which is distant from the Equator by an arc of 23° 28', measured along a circle passing through the two Poles. Such points will lie in a circle ; and you will see a dotted circle marked upon any globe, so as to be as far North of the Equator as the Arctic Circle is distant from the Pole. The Sun will be overhead, or vertical (from the Latin vertex, the top of the head), at noon, at this time of the year, to all people living in that circle ; and the heat will be very intense, not only in this circle, but in all the regions near it on both sides. 36. As the Earth goes round in her orbit about the Sun, keeping her axis always parallel to itself, the Sun will cease to be vertical to places in that circle, and will be vertical to places farther South, till at last, at the end of three months, about Sept. 21, he will be vertical to places in the Equator. To us living on the Earth, it will 74 FIEST LESSONS IN SCIENCE, seem that the Sun himself has gone farther to the South ; and each day he will rise and set more towards the South "than he did the day hefore. "We shall see his place of rising and setting on our horizon changing in this way from day to day. As the Earth still goes on in her orbit, for three months more, he will get to be vertical to places on the other side of the Equator, seeming to go farther and farther to the South, till at last, about Dec. 21, he will be vertical to all places in a circle like the former, drawn around the globe, at the same distance South of the Equator, as the Arctic or Antarctic Circle is from the Pole. You will see such a circle also marked with dotted lines on any globe or map. Then, as the Earth still goes on, the Sun will seem to move northward. He will never get to be vertical to places South of the circle which has just been spoken of. For a day or two, indeed, about Deo. 21st, he will seem to stand still in this respect, being ver- tical at noon for some few days together to all places on this circle. But then he will go on and_be vertical to places North of this circle, farther and farther North, till again, after three months, on March 21, he will be ver- tical to places in the Equator, and seein, as it were, to cioss it from the South to the North side. And so, as the Earth goes on, the Sun will be vertical to places on the North side of the Equator, more and more to the North, till, after three months more, about June 21, he will be vertical again to all places in the circle first spoken of. He will get no further North than this ; but after seeming to stop still in this resjiect for a few days, he will seem again, as before, to go to the South. 37. Hence the time of the year, about June 21, or December 21, is called the Solstice (that is the Sun's standing-time), and the two dotted circles just spoken of are called the Tropics (that is, circles of turning), because FIEST LESSONS IN SCIENCE. 75 the Sun seems to stop still for a while, and then to turn towards the South or North, when he gets to be vertical to the places in these circles. The Northern one is called the Tropic of Cancer, because the Sun about June 21 is seen moving through the Stars in the sign of Cancer ; and the Southern one, for a like reason, is called the Tropic of Capricorn. It is plain that to all parts of the Earth's surface, which lie between the two Tropics, the Sun is vertical during some part of the year. The places which are just on the two circles, pass under his hot direct rays only once ; and the sun is then overhead at Noon for a few days together. But to all other places between the Tropics the Sun is vertical twice every year, once when he is going towards the nearest Tropic, and again when he comes away from it — that is, of course, when he seems to go towards or come away. Hence such countries are much more heated than the other countries beyond the Tropics towards the North or South, to which the Sun is never vertical. They are called tropical countries, and are best suited for producing sugar, cotton, coffee, indigo, &c., and all those plants which require much heat. 38. The whole of the hot region of which we have just been speaking, is called the Torrid Zone, that is, the Scorched Belt, of the Earth's surface. The two tracts, between the Tropics and the Polar Circles, are called the Temperate Zones, or Belts of the Earth, because they never suffer either from the excessive heat of the Sun's vertical rays, or from excessive cold. These are the most pleasant and healthy parts of the world to live in. And those around the Poles, inside the Polar Circles, though not, like the former, shaped like belts upon the Earth's surface, are yet called the Frigid or Cold Zones. About March 21 and September 21, as has been shown. 76 FIRST LESSONS IN SCIENCE. the Sun is vertical for places on the Equator. And now, as the Earth turns round, each place on its surface will be for twelve hours in the light, and for twelve in dark- ness. Hence days and nights will he equal all the world over at these seasons, which are called the Equinoxes (^Equinox equal night), and happen in Spring and Autumn. The Spring or Vernal Equinox, at places north of the Equa- tor, will be about March 21, and the Autumnal Equinox about September 21 ; and the contrary will be the case at places south of the Equator. At these times there will be six hours of sunlight before Noon, and six after Noon, all over the world : in other words, the Sun will rise all over the world at six o'clock in the morning, and set at six in the evening. About June 21 he begins to enter Cancer, and about December 21 he begins to enter Capricorn. The first of these days (June 21) is the longest day for places in the North Temperate Zone, the Sun being then more nearly vertical to such places than at any other time of the year ; and it is, of course, the shortest day for places in the South Temperate Zone. And the opposite is true of December 21. Thus we see the wondrous Wisdom with which our Heavenly Father has contrived this globe, to be the dwell- ing place of such a creature as man, and made all these plans for our comfort, as well, as we may be sure, for a mul- titude of other reasons which we are not able to imagine. 39. There are some words made use of in referring to the Earth's surface, as well as to the places of the Sun, Moon, and Stars, in the regions of the sky, which I must here explain. The Equator, as you already know, is, properly speak- ing, a circle drawn around the Earth midway between the two Poles. The parts of the Earth, North and South of the Equator, are called the Northern and Southern FIRST LESSONS IN SCIENCE. 77 Hemispheres. The centre of the Equator is the same as the Earth's centre, and so the plane of the Equator will pass through the Earth's centre. Now, if we suppose the Heavens to be (what they seem to be) a. hollow spherical canopy, surounding the Earth on all sides, and then imagine the plane of the Equator to be stretched out in directions till it meets this canopy, it will mark upon it a circle, corresponding to the Equator on the Earth's surface. This circle is called the Equator of the Heavens, or the Celestial Equator, while that drawn upon the Earth is called the Terrestrial Equator. Hence we may speak of the Sun or a Star being seen in the Equator, meaning the Celestial Equator. The Ecliptic again, is, properly speaking, the orbit in which the Earth, or rather the Earth's centre, goes round the Sun's centre. So the plane of the Ecliptic passes through the Earth's centre ; and, if this plane be supposed to be stretched out on all sides around the Earth's centre till it meets the Heavens, it will mark out a circle on the Celestial Vault of which the Earth's centre will be the centre, and which will be the Celestial Ecliptic. Hence we may speak of the Sun or a Star being seen in the Ecliptic. The same plane will also cut the surface of the Earth, in a circle of which the Earth's centre is the centre, and which will be called the Terres- trial Ecliptic. 40. The Terrestrial Meridian of any place on the Earth's surface is a circle, passing through the North and South Poles, and through the place. It is plain that the Earth's centre is the centre of the Meridian, since it passes through the two Poles. And as the Equator divides the whole globe into two Hemispheres, the Northern and the Southern, so the Meridian divides the whole globe into two Hemispheres, the Eastern and Western, but only of 78 FIEST LESSONS IN SCIENCE. course with respect to that particular place, whose Meridian it is. If the plane of the Meridian be supposed stretched out in all directions to meet the Heavens, it will mark out the Celestial Meridian of the place in question. And this will go from North to South directly ahove the place through the point overhead, or Zenith, as it is called, dividing the whole of the sky, which is visible from the place, into two equal parts, the Eastern and Western, and marking the North and South points of the horizon, where it cuts it. The Horizon, as you have been told, is the circle which bounds in our view at any place, or which would bound it in, if there were no hills or mountains to prevent the line being fully and evenly formed. And if the plane of this circle be supposed stretched out like the others to meet the Heavens, it will mark out the Celestial Horizon. Hence, when the Sun or a Star is rising or setting, it seems to cross this Celestial Horizon; and when, as the Earth turns round on its axis, or the whole vault of Heaven seems to turn round, the Sun or Star has got to its highest point midway between its rising and setting, it will just at that moment be crossing the Celestial Meridian of the place. In observatories, or places where the Stars are carefuUy watched, there is always what is called a transit instrument, fixed so as to turn round in the plane of the meridian, in order to observe the meridian transit (or passing over) of any heavenly body. When the sun passes over the meridian of a place, he has then reached his highest point in the sky for that day at that place, that is, it is then the hour of noon for that place. 41. The Latitude of a place is its distance from the Equator, North or South, measured by degrees, &c., along the meridian of that place. Thus the latitude of the FIRST LESSONS IN SCIENCE. 79 Observatory at Greenwich, near London, is 51° 28' 40' Nortii, and the latitude of Pietermaritzburg in Natal is about 29J° South. For convenience of seeing roughly at a glance the latitude of a place, circles are drawn upon a globe, parallel to the Equator, at equal intervals, called parallels of latitude. These circles are not great circles whose centres are the centre of the earth, as the Equator, &c. ; but they will get smaller and smaller as they are drawn nearer to the Poles. There is also a circle of brass attached to a globe, so as to pass through the two Poles, as the meridians do. By turning round the globe, any place may be brought under this brazen meridian, which acts then as the meridian of the place, and its latitude may be read off at once upon it. The Longitude of a place is the distance measured in degrees, &o., along the Equator of that point in which the meridian of the place cuts the Equator, from some fixed point in the Equator. This fixed point with English observers, is usually the point where the meridian of Greenwich cuts the Equator. And they reckon East or West of it as far as 180°. Thus the longitude of Pietermaritzburg is about 30 J° East of Greenwich. For convenience of seeing roughly at a glance the longitude of a place, a number of meridian lines are drawn upon the globe at equal intervals. Also by bringing the place under the brazen meridian, so making the brazen meridian to be the meridian of the place for the time being, and observing where it crosses the Equator, we can read off at once more exactly the longitude of the place. When we know the latitude and longitude of a place, we can put our finger at once upon the spot where the place should be found upon a globe or map. But on a map, which is a flat piece of paper, we cannot of course show the circles as they are really upon a globe. They 80 FIRST LESSONS IN SCIENCE. are represented by lines, drawn straigM or curved accord- ing to certain rules, so as to distort as little as possible the outlines of countries from wbat they really are upon the globe, or so as to answer some other special purpose, intended by the maker of the map. 42. We have seen that the Equator and Ecliptic, as drawn upon the surface of a Terrestrial Globe, repre- senting the Earth's convex surface, have corresponding circles in the starry vault, where their planes, stretched out on every side, seem to meet the concave (or hollow) surface of the Heavens. All such lines, then, may be drawn upon the surface of a Celestial Globe, representing the appearance of the Heavens. Only, as we cannot of course, get to stand at the centre of such a globe, we are obliged to draw them on its convex outer surface, instead of drawing them on the concave inner surface, as they ought to be drawn, in order to represent exactly what is seen from the Earth. The Bight Ascension of a point in the sky corresponds exactly to the longitude of a place on the Earth, being measured along the Celestial Equator,. East or West, from a fixed point in the Equator. But that fixed point is the same with all Astronomers, namely, the point where the Ecliptic cuts the Equator, when the Sun seems to pass to the North of the Equator. At this point he is just going to enter the sign Aries. The Declination of a point in the sky corresponds to the latitude of a place on the Earth, being measured Nortb and South of the Equator on what may be called the meridian of the point, that is to say, on a great circle passing through the two Poles and the point itself. When we know the Eight Ascension and Declination of a heavenly body, we know exactly where it is to be found in the sky. FIRST LESSONS IN SCIENCE. 81 43. Vertical Circles are great circles of the Heavens, which, like the Celestial Meridian, pass through the Zenith of a place, but do not pass through the Poles, and, therefore, do not cut the horizon in a North and South Line, as the meridian does. The planes of all such circles are vertical planes. And all planes parallel to the horizon are horizontal planes. The Altitude of a point in the sky is its distance from the horizon in degrees, &c., measured on a vertical circle passing through the point. The Azimuth of a point in the sky is the distance measured in degrees along the horizon, of the point where a vertical circle passing through the point cuts the horizon, from the North or South point of the horizon. When the altitude and azimuth of a heavenly body are known, as it is seen from a certain place upon the Earth, the place of the body in the sky is known, as seen from that place. And then, if the latitude and longitude of that place be known, it is easy by certain rules of calcula- tion, to make out on paper what the Eight Ascension and Declination of the body are — that is, to fix its place in the sky. Now, at all observatories, instruments are at hand carefully prepared for this purpose of observing altitudes and azimuths, as the first step towards fixing the place of bodies in the sky, the latitude and longitude of the place itself being first very accurately ascertained. 44. Since the Earth turns round on its axis once in 24 hours, if we divide the whole Equator into 24 equal parts of 15° each (so that the whole circle will contain, as it ought, 360°), and through the points of division draw 24 meridian circles, passing, as all meridians must, through the Poles, then, as the Earth turns round, one of these meridians will pass under the Sun every hour. Suppose, for instance, that one of these meridians passes o 82 FIRST LESSONS IN SCIENCE. through Greenwich, and that is now uncler the sun, or, in Other words, that the sun is on the meridian of Green- wich, BO that it is noon at Greenwich, and at all places of course on the same meridian. Then an hour afterwards, as the Earth turns from West to East, the Sun will be on the meridian which lies 15° to the West of Greenwich ; that is, it wUl be noon at all places on that meridian, which have, therefore, 15° West longitude, an hour later than it is noon at Greenwich. Eor places 30° West of Greenwich it will be two hours later, and so on. On the other hand, the Sun has been upon the meridian 15° East of Greenwich an hour before it was on the meridian of Greenwich ; so that when it is noon at Greenwich, it is an hour past noon at all places which have 15° East longitude, two hours after noon for places 30° East of Greenwich, and so on. Since 15° of longitude. East or West, makes a difference of one hour, or sixty minutes, in the time of two places, it follows that 1° of longitude will make a difference of four minutes : that is, at any place it will be four minutes later or earlier in the day than it is at Greenwich, for every degree of longitude which the place has East or West of Greenwich. Hence, since Pietermaritz- burg is about 30J° East of Greenwich, it will be about two hours later in the day than it is at Greenwich. When it is noon at Greenwich, it will be two o'clock in the afternoon at Pietermaritzburg, which is expressed by 2 p.m. (where P.M. stands for the Latin words Post Meridiem, afternoon). So when at Greenwich it is six in the morning, or six a.m. (where a.m. stands for Ante Meridiem, before noon), it will be 8 A.M. at Pietermaritzburg. 45. I will now explain to you the nature of those winds called the irade-j««wd«, which we feel, as I told you in (13), because of the Earth turning round on its axis. The first mention of these was made by the great navigator FIRST LESSONS IN SCIENCE. 83 Columbus, wlio set out from Spain in the year 1492, determined to sail continually to the West till he came to land. He expected to reach the Eastern shores of Asia, but he came upon one of the West Indian islands, and was the first to discover America, which was then un- known to those who lived in the Old World (as it was called), that is in Europe, Asia, and Africa. The account of this voyage is a most deeply interesting story, which I shall hope to tell you at length in another book. I wish now to mention only that part of it which concerns the discovery of the trade winds. Columbus was engaged in a business of great danger. He had to cross an unknown sea, with a company of ignorant and fearful sailors. Most of them had been forced to go against their will by the orders of the King of Spain, and they thought that they were being carried away from all their friends and kindred into some far off region, from which perhaps, they should never come back. When, however, they found themselves wafted rapidly over a tranquil sea by a pleasant breeze blowing steadily from East to West, their fears gradually subsided. But when this wind was found to continue in the same direction for days and weeks together, they began to think that the wind in these seas might always blow from the East, and, if so, they should never be able to get back to their native land again. They implored Columbus to try to turn back before it should be too late. When he refused, and the wind still blew on steadily from the East, the sailors began to murmur loudly. He managed to soothe them down and quiet them, two or three times, but at last they broke out in open mutiny and threatened to throw him overboard if he persisted in sailing any further to the West. He begged them to wait only three days longer, and if land was not found within that time he promised to go back to Spain. On G 2 84 FIEST LESSONS IN SCIENCE. the third day they discovered an island, to which he gave the name of San Salvador. In this way the trade-winds became first known at the same time as the New World. Columbus returned to Europe by the help of the ordiuary winds, going to the North of that belt of the Ocean, over which the trade-winds blow. 46. The trade-winds, then, are winds which are always found to blow from the East for a certain distance on each side of a belt of ocean near the Equator, blowing from the North to the North of the Equator, and from the South to the South of the Equator. Suppose a ship sailing from England to the Cape. Soon after passing Madeira, it will get into the Northern trades, and find the wind blowing from the North. As the ship goes south- ward, passing the Canaries and the Cape de Verd Islands, the wind will gradually veer round towards the East, but still it will blow on the Northern side of East. At last, before it reaches the Equator, the trade-winds will cease to be felt, the distance from the Equator at which this takes place, being greater or less according to the season of the year. "When the Sun is vertical North of the Equator or Equinoctial Line, that is, from March 21 to September 21, the Northern trade-winds will not come so near to the Line as in the other half of the year, when the Sun is South of the Line from September 21 to March 21. When the ship has got fairly into the trades, the sailing is delightful. The vessel moves on steadily day after day, and the sailors have seldom to touch a sail or rope. The sea is smooth, and the sky serene. By day the warm sunny air is cooled by the pure fresh breeze ; the night is almost as warm as the day, and the clear blue sky is lit up by the _silvery moon and brilliant stars. On all sides of the ship may be seen flying-fish, and dolphins and porpoises, playing about in the waters. An FIEST LESSONS IN SCIENCE. 85 open boat might cross the ocean safely in these regions. On this account the Spaniards, when they first sailed over this part of the sea, called it " the Ladies' Sea." 47. As the ship goes on out of the Northern trade-winds towards the Equator, she enters a region of calms and variable winds, where, perhaps, she may roll about for days, or even weeks, creeping along by the help of every puff of air that can be caught, but often drenched with torrents of rain, and surprised with heavy squalls of wind and thunderstorms. The sky is now covered with white clouds and the air very sultry and oppressive, loaded with moisture, which makes every thing feel clammy to the touch. However, at la';t, perhaps in one week, or perhaps in three or six, she will get through this tedious part of her voyage. I am speaking of a sailing vessel : a steam- ship will put on all her power, and press through this part of her course as soon as possible. Then, while still North of the Equator, she will begin to feel the Southern trade, blowing, at first, almost from the East, then veering round more and more towards the South. This wind will compel the ship to go very near the coast of South America, advancing southward, however, all along, till it will get out of the Southern trades, and find westerly winds, which prevail in these parts, and so, by the help of these will reach the Cape. 48. Coming back from the Cape, the ship will be troubled, at first, with the westerly winds ; but sailing in a zigzag course, as best she can, she will get, at last, into the South-East trades, and go merrily on to St. Helena, where almost all homeward-bound ships stop to take in supplies of food and water. Still the trade lasts on, be- coming now more easterly, till the ship crosses the Equator, gets again into the doldrums, as sailors call that disagree- able part of the voyage, and experience again light variable 86 FIRST LESSONS IN SCIENCE. winds, blowing from all quarters, long calms, and, now and then, a furious squall, and heavy rains. In July and August, however, there are often light southerly winds, which help a ship along in these parts. And, at all seasons of the year, the homeward voyage to England is more easily made than the outward. The ship will, at last, get, into the North-East trades, and be obliged to go at first towards the coast of North America, tUl she can steer North, or even North-East, make for the Azores. Getting out of the trades, it will generally find westerly winds, as it did about the Cape, which will carry it to England, and up the British Channel. These westerly winds prevail in these parts so much, that the voyage from America to England, that is, from West to East, may be performed in 23 days, while that from East to West, from England to America, takes about 40 days. 49. The cause of the trade-winds is thus explained. The Sun's powerful rays, in the tropical regions of the Earth, over which he is vertical from time to time, causes the air in these parts to become heated, and so to expand, and be- come lighter, and ascend to the higher regions of the sky. Meanwhile, cooler air rushes in from each side, from the North and from the South, to fill up the vacancy. This accounts for the trade-wind blowing, at first, from the North or South, when a ship begins to feel it. But the air will have been moving round from West to East, together with the Earth, as it turned upon its axis, and at the same rate as the places from which it came. Now these places, being nearer the Poles than the Equator, will not be carried round through so large a circle, in the 24 hours, as places nearer the Equator — that is, they will not have so quick a motion from West to East as places near the Equator have. Hence the air from the North or South, FIRST LESSONS IN SCIENCE. 87 ■when it reaches the Equatorial regions, will not be moving so fast towards the East as the ocean, or land, to which it has come. So, as the Earth turns round, the ocean or land will be carried towards the East with a more rapid motion than the air above it, and will rub, as it were, against the air : that is, the air will be felt as a wind coming from the Easterly direction, and more and more so, as the ship gets nearer to the Equator, and so the difference between the Eastward motion of the air from the North or South, and that of the land or sea becomes greater. Hence we see how the wind on the North side of the Equator is felt first as a North wind, then is felt more and more from the East, and, at last, when it goes on further to the South, is felt only as an East wind. And the like takes place with the Southern trade-wind on the other side of the Line. Only there is so much more land in the Northern Hemisphere than in the Southern, that the Northern is the hotter of the two ; and the belt of greatest heat does not lie equally on each side of the Equator, but almost wholly on the Northern side of it. Hence the Southern trade-wind goes nearly to the Equator, and sometimes even past it ; while the Northern trade never goes down so far as to the Equator. 50. Meanwhile the hot air, which has ascended into the higher regions from the parts near the Equator, will get cooled, as it mounts, throwing off its heat into the vast regions of space, and wiU travel high overhead, above the currents of air that are flowing from the North and South, to fill up the places thus left empty. At last, these upper currents will come down to the surface of the Earth at some distance on each side of the Equator. But the air, which thus descends, will still be moving from West to East, at the rate at which it was moving, when it first as- cended near the Equator; it will be moving, therefore. 00 FIRST LESSONS IN SCIENCE. much, more rapidly than the land or ocean on which it falls, at parts of the Earth's surface more distant from the Equator. It will rush towards the Bast, more speedily than these places will move, hy the turning of the Earth about its axis. And they will feel, in consequence, a wind coming from the West. This accounts for the westerly breezes which prevail both North of the Northern, and South of the Southern, trade-wind, as it occurs in the great Atlantic and Pacific Oceans. Other similar effects are produced in other parts, as in the Indian Ocean and Gulf of Mexico, though modified, of course, by the different shape of the land. 51. Nothing has yet been said about the Moon, which, however, is an object of great interest to us, only less than that with which we regard the Sun. It seems, indeed, to our eyes, to be. nearly as large as the Sun, when we see them both in the sky at the same time. But this is only because it is so near to us ; for it is really a very small body. In - fact, it would take about 60 Moons to make up the bulk of the Earth ; whereas, you have been told, it will take more than a million Earths to make up the bulk of the Sun. As the Earth goes round the Sun once in 365 days, or a year, so the Moon goes round the Earth once in 28 days* And this is going on all the while that the Earth itself is going round the Sun. So that the Earth takes the Moon along with it, as a kind of attendant. And on this account the Moon is called the Earth's satellite, from the Latin word satelles, for hodyrguard. Hence it. is that the Moon has not only an apparent motion from East to West, as the Stars have by reason of the Earth turning round upon its axis. But it has a real motion also of its own, by reason of its going round the Earth, in a direction from West to East, the opposite to its apparent motion. If it had no motion of this kind, it would rise to-morrow, by FIRST LESSONS IN SCIENCE, 89 reason of the Earth turning round, just 24 hours after it rose to-day. But this motion of its own, in the opposite direction to its apparent motion, makes its apparent daily motion seem less than that of the Stars. They seem to go at such a rate that they get round the Earth in 24 hours. But the Moon seems to go more slowly, because she travels •^ith her own real motion in the opposite direction. And so she lags behind the Stars and will rise to-morrow about 60 minutes, or nearly an hour, later than she does to-day. 62. We know that the Moon shows to us different appearances, or phases, as they are called. Let us see what is the cause of this. The fact is, that she gets all her light from the Sun, as the Earth and the Planets do. But, of course, only one side of her body, that turned to- ward the Sun, can be bright with his light at one time ; the other side, that turned away from the Sun, will be dark and not visible.^ Now as the Moon goes round the Earth, she comes into different positions, so that we see more or less of her bright side at different times. Thus, for instance, at one time, she is on the same side of the Earth as the Sun ; and then her dark side is turned towards us, and we cannot see her at all for a day or two, unless, in- deed, it should so happen, as it does at certain times, that she comes just between the Earth and the Sun, and then she will hide from us for a while more or less of tbe Sun's face, and the Sun is said to suffer an eclipse, from a Greek word which means " failing out," because the Sun seems to " fail out " of his place. " But how is it," you may ask " that she does not always get between the Earth and the Sun, every time she goes round the Earth, that is, once every month? " It would be so, if she went round the Earth in the plane of the Ecliptic, in which the Earth goes round the Sun. Then, every time she got round the 90 FIRST LESSONS IN SCIENCE. Earth to the side on 'whicli the Sun is, she would get her body between the Earth and Sun, and eclipse the Sun's face. But the Moon goes round in a plane, which is a little inclined to the plane of the Ecliptic at an angle of about 5°. And as she goes round the Earth in her orbit, she passes through the Ecliptic .twice every month. At one time she ascends to run through the Northern half of her orbit ; and then, after fourteen days, she descends again to run through the Southern half. The places, where she thus passes through the Ecliptic, are called her nodes; and thus the Moon reaches an ascending or descending node at intervals of fourteen days. At such times, then, she is in the plane of the Ecliptic ; and, if she also happens to be passing between the Earth and the Sun, as, of course, she must do every time she goes round the Earth, the Sun will be eclipsed. Or if she is very near the node, when she has got round to that side of the Earth on which the Sun is, she may hide from our sight a part of the Sun's face and he will be partially eclipsed. 53. Sometimes, then, in an eclipse of the Sun, only a little piece of its bright face is darkened — sometimes a larger portion. Sometimes, there may be what is called an annular, or ring-like, eclipse, when the Moon's disk hides from us the greater part of the Sun's disk, but is not large enough to cover the whole of it, and so leaves a bright ring of the Sun's disk still shining behind the black disk of the Moon. Sometimes, again, there may be what is called a total eclipse, and we lose sight for a short time of the Sun's face entirely. This arises from the fact, about which I will tell you more farther on, that the Earth's orbit about the Sun is not quite a circle ; so that sometimes the Sun is farther off from the Earth than at others, and his disk is, therefore, smaller, and so the Moon's disk can cover it entirely. At such times of total eclipse, a strange FIRST LESSONS IN SCIENCE. 91 appalling darkness settles down upon the Earth. The birds cease their songs and go to roost. The cattle begin to go home, as if it were evening. The flowers shut up their blossoms. The sky has a violet, purple-black, or yellowish- crimson hue ; the sea appears of a lurid red ; human faces look ghastly ; all nature seems stricken with dismay and dread. At last, the Moon's disk passes away from before the Sun's face, and the light of day returns, by degrees as before. Now that we are able to explain how an eclipse of the Sun takes place, there is nothing surprising or dreadful in it. But ignorant people, and rude and untaught savage nations, are always much frightened when an eclipse of this kind occurs. They make sure that something awful is about to happen — a fierce, bloody war, perhaps, or a destroying pestilence, the death of their king, or, it may be, the end of the world. Now, however, so certain is the knowledge, which astronomers have of these things, that they can tell exactly the time when an eclipse is to take place, hundreds of years beforehand — can fix the very moment, when it will begin and end, and say how much of the Sun's face will be darkened. If, however, the Moon, when passing between the Earth, should not be near enough to a node, there can be no eclipse. And astronomers have shown that there may be five eclipses of the Sun in each year, and that there must be two. 54. But now suppose that about a week has passed since the time of new moon. In that time the Moon will have got about a quarter of the way round in its orbit about the Earth. Hence, as it moves from West to East, we may expect, when the Sun is just setting in the West, to find the Moon high up above our heads, having moved so far towards the East from the Sun in that time. Now, however, its bright side being that which 92 FIRST LESSONS IN SCIENCE. looks towards the Sun, we can see only about a half of it, while the other half of its face, which the Moon presents to us, will be half of its dark side. When a week more has passed, the Moon will have got still further towards the East, going on in its path about the Earth. And, when the Sun is just setting, as before, we shall now see the Moon in the East just rising, and shall be able to see the whole of her bright face, except when she happens to be in or near a node, and then the Earth's body will lie be- tween the Sun and the Moon, and the Moon will fall into the Earth's shadow, and be eclipsed. It may be shown that there may be as many as four eclipses of the Moon in a year, or there may be none at aU. On such occasions, it is seen that the shadow of the Earth, which is seen to pass over the Moon's face, as she enters into the darkness, is always circular ; from which we learn that the form of the Earth is certainly that of a globe. We now see the reason why the Earth's orbit has been called the Ecliptic, because it is only when the Moon is in or near a node, and, therefore, in or near the plane of the Earth's orbit, that an eclipse, either of the Sun or Moon, can take place. 55. When another week has passed, the Moon will have separated from the Sun still more ; and now, when the Sun is setting in the West, the Moon will have got to be right under our feet. Of course, we cannot see it then at all. But, some hours after sunset, the Earth will have turned round so far as to bring the Moon into view, so that she wiU rise about midnight. But she will show us only half of her bright face, which will be turned, of course, full towards the Sun, as we shall see plainly at sunrise, when the Moon will be up above our heads. A week after this she will rise and set with the Sun once more, as at first, and her dark side will be turned again FIEST LESSONS IN SCIENCE. 93 towards us, and she will be no longer visible. At such time, the Zulus, and, I suppose, many other untaught people like them, say that the old Moon is dead, and another new Moon will come in to being. Thus are explained the four chief phases of the Moon, between which, of course, she takes others, sometimes smaller, sometimes larger, than the half of her bright face. In the first quarter of her course, for a week after new-moon, she takes the form of a hollow curve, which is called a crescent, the hollow being turned away from the Sun, but the bright part getting larger and larger daily till we see the half-moon. In the second quarter she has a bulging, or, as it is called, a gihhous form, the bulge being toward the Sun, that is, towards the West, and the bright part getting larger daily till we see the whole full-moon. In the third quarter, her form also appears gibbous, but the bulge is now on the other side, towards the East, on which side the Sun now is, and the bright part gets smaller daily, till she shows again her half-face. And then, in the fourth quarter, we see the crescent again, with the hollow towards the West, dwindling down by degrees to a fine silver thread, till we loose sight of her altogether. 66. But, though it is true that the Moon gets round the Earth in about 28 days, yet it does not follow that, if it be full-moon to-day, it will be full-moon again after 28 days exactly, because during that time the Earth will have gone on in its orbit about the Sun, and so will have shifted its place with regard to the Sun. And, on this account, the Moon will have to go on some distance further in its course, beginning to go round the Earth a second time, before it will get into such a position with regard to the Sun as to show the full moon. This will appear more plainly by help of a figure. So draw a large 94 FIRST LESSONS IN SCIENCE. circle to represent the Earth's orbit, and put S in the centre to represent the Sun. Let E be the Earth in some part of its orbit; and (supposing now that the Moon moves in the plane of the Ecliptic, as it nearly does) in the line SH produced, take a point M to represent the Moon, in opposition, that is, in the position of full-moon, on the opposite side of the Earth to that on which the Sun is. At the end of 28 days, let e be the place to which the Earth will have got in its orbit. Draw em parallel to SEM ; and let m represent the Moon, which has got round the Earth, while it moved from E to e, and now is seen from e in the same part of the sky as M, when it was looked at from E. For the Fixed Stars are so far off, that, if EM and em be supposed to be lengthened out, or pro- duced, to reach the same place among the Stars, though, of course, these lines would meet at last, yet their place of meeting will be such a vast way off, that they will seem to our eyes to run parallel to one another. They must, in fact, be slightly inclined to one another. But the inclination is so very slight, that neither our eyes, nor the finest instruments which can be made, are able to detect it. But now, plainly, e does not lie between S and m, as E did between S and M ; so that m will not appear to e as the full-moon. The Moon must still move on a little farther in its path about the Earth, while the Earth too moves on in its path round the Sun, till the Earth's place, which we may mark by e', lies between the Sun, S, and the Moon's place, m' ; and then will be seen from the Earth the full-moon. Thus we see that the Moon does not go through all its phases in the same time that it goes round the Earth. It takes 28 days (more strictly, 27j days) to do the latter. But it takes 29i days to pass from one full moon, or one new-moon, to another. Since 13 times 27j is 364|, the Moon will go thirteen times round lb face page 94. FIRST LESSONS IN SCIENCE. 95 the Earth in a year, with some days to spare. But since 12 times 29J is 354, there wUl only he twelve full-moons in that time. 57. And here let me explain that the Moon's path in space is not exactly what you might suppose. It is a circle as far as the Earth is concerned, that is to say, to us living upon the Earth the Moon seems to go round in a circle, and we may make all our reasonings about it, as if it did. But we must not forget that the Earth itself is moving on all the while. And, therefore, it is impossible that the Moon's path in space should be a circle. I may be able to give you some idea of the actual path of the Moon in space by means of a figure. Draw a large circle, as before, to represent the Earth's orbit, with S for the Sun in its centre. Draw on another part of the paper a small circle with centre e, to represent the Moon's orbit about the Earth. Divide this small circle into four equal parts by two diameters, drawn at right angles to one another ; and divide these parts equally by two other diameters ; and put letters, m, n, o,p, q, r, g, t, at the points, where these four diameters cut the cir- cumference. So now we shall have the eight radii, em, en, eo, &c. ; and these may represent so many distances of the Moon from the Earth in eight different points of its orbit, which we will suppose, as before, to be in the plane of the Ecliptic. At first, then, suppose the Moon to be seen from e in the direction em. In the other circle, draw S E parallel to em, and produce it to M, so that EM may represent the Moon's distance from the Earth. Then M will be seen in the same direction from £ as m from e, and may represent the moon, when full, as seen from E. 58. Now while the Moon goes on in its path about e, and gets from m to n, suppose that the Earth goes on from E to A. From A draw AN parallel to en, and equal in 96 FIKST LESSONS IN SCIENCE. length to EM. Then N will he seen in the same direction from the Earth at 4 as w from e, and may represent the Moon as seen from the Earth at A. In like manner determine other points, 0, P, Q, &o., representing places of the Moon, as seen from the Earth in different parts of its path. And now join the points M, N, 0, &c., by a sort of sweeping curve line. This will give yon some idea of the kind of path, which the Moon really describes in space, while still to the people on the Earth, unconscious of their own motion, she seems to be only going round the Earth in such a circle as mnopqrst. In describing the curved line MNOPQBST, the Moon really has gone round the Earth, as you see. But it has done more. It has been going round the Sun at the same time. And, in doing these two things, it has described this strange curved line. In point, of fact the actual path of the Moon is a wavy line, like this, which cuts the Earth's orbit, going in and out thirteen times, but so as always to have its concave, or hollow, side turned towards the Sun. And, since the Moon's distance from the Earth is only one four-hundredth part of the Earth's distance from the Sun, it follows that the farthest distance, to which the Moon can go outside or inside the line of the Earth's orbit, must be very small indeed, compared with the size of that orbit. In fact, if we take the circle, which we drew in (15) to represent the Earth's orbit, the whole wavy movements of the Moon, outside and inside that orbit, must be included within the black line, which we drew for the circumference of that circle. 59. Hence, just as we saw that we might call the Earth a sphere, in spite of the little roughness on its surface, so now we may say the Moon goes round the Sun very nearly in a circle, in the same circle as the Earth, though it does go a little outside or inside it, above the plane of 'lofaeepage ^%, FIRST LESSONS IN SCIENCE. 97 the Ecliptic and below it, and by so doing manages to go thirteen times also round the Earth while it is going once round the Sun. And this, indeed, is what we ought to expect ; for the Sun attracts the Moon as strongly as he attracts the Earth. And, in fact, though the Sun is so much farther off from the Moon than the Earth is, yet his mass is so enormous, that he attracts the Moon with a much greater power than the Earth does, though the Earth is so near to it. The force, with which the Earth attracts the Moon, is only about two-fifths of that with which the Sun attracts. And, therefore, if we pleased, we might speak of the Moon, as going round the Sun in the centre, in a curve which is nearly a circle, and which would be a circle, but that the Earth disturbs its motion, and makes it go a little in and out of the circle in the way above described. However, as the Moon is plainly a satellite, or attendant on the Earth, it is more usual to speak of it only as going round the Earth, while the Earth itself goes round the Sun — going round the Earth in a curve, which is nearly a circle, and which would be a circle, but that the Sun disturbs its motion, making it go a little in and out of its proper path, sometimes accelerating or quickening, some- times retarding or holding back, its motion. Observe, however, it is not the whole pull of the Sun, which dis- turbs the Moon's motion about the Earth, but only the difference between his pull on the Earth and his pull on the Moon at any moment, taking into account also the directions in which these two pulls take place. This disturbing force, therefore, is very small. Several of the Planets also have Moons like ours, and not one Moon only, but many. Thus Jupiter has four, which go round about him at different distances, while he goes round about the Sun, just as our Moon goes about the H 98 FIEST LESSONS IN SCIENCE. Earth. So Saturn has eight Moons, and Uranns six. Neptune, too, -has certainly two, and, possibly, others, which have not yet been seen, being very small and distant bodies. And these Moons might, of course, lite our Moon, be considered as describing circles about the Sun, and disturbed by the Planets about which they revolve, which are called their primaries.* 60. The satellites of Jupiter are very famous in the history of the science of Astronomy. They were first seen in the year 1610, by Galileo, a famous Italian philosopher, about whom I must tell you something. Galileo, one day, while living at Venice, had heard that a certain Dutchman had made a curious sort of a toy, in the form of a long tube with a glass at each end, which, when pointed towards any distant object, as a tree or a tower, enabled a person looking through it to see the objects seemingly brought nearer and made plainer, but turned upside down. This was all that Galileo heard ; but lit was enough to set him thinking. He began to consider how this could be contrived ; and God had given him great wisdom, and blessed him in the use he made of it. He soon found that by putting certain curved glasses at the end of a tube he could himself repeat the Dutchman's wonder. The first eye- tube which he made, or telescope as it is called, that is, " far-seer," made objects appear three times as large as they otherwise would. But before long he made another, which magnified eight times. And this he turned to the skies, and saw, for the first time, with delight and awe, what no mortal eye before had seen. He saw that the Moon's face was, like that of the Earth, ridged with high mountains, and furrowed with deep * " The word Moon, taken to denote Bimply a satellite, is riot used btiictly in its etymological meaning. The moon is simply the measurer, as determining for us the length of the week ; hence the word month, as indionting the moon's period of revolution." FIRST LESSONS IN SCIENCE. 99 valleys — that Mercury, Venus, and Mars showed phases like the Moon — that Jupiter had four Moons, and that Saturn had something strange about his form, which he could not clearly make out, though now, by the help of more powerful telescopes, we know very well what that is — that the Milky Way is one vast mass of Stars, and that the little bright misty spots, called nehulse (clouds), which are seen here and there in the sky, are also clouds of star- dust, each particle of which is in fact, as we know, a glorious Sun ; or, perhaps, a world in a state of formation — in short, that the whole Heaven is sown over, as it were, with an immense multitude of Stars, too distant to be seen by the naked eye at all. He saw all this and bowed his head in reverence, and with his heart he glorified God. 61. "When Galileo first caught a glimpse of Jupiter's satellites, he saw only three of them close to the body of the planet. He thought, at first, that they were only very faint Fixed Stars. But, on the next night, he found that they had changed their places ; and, watching them again and again, he became certain that they were satel- lites. So he boldly announced to the world that there were in the heavens three Stars, which went round Jupiter just as Jupiter himself went round the Sun. After a little while he saw the fourth satellite. And now how was this announcement received ? Many there were who knew nothing about such matters, and did not pretend to know ; and these were full of admira- tion and delight, when they heard of his discovery, and looked themselves through his tube. Galileo's telescopes were in great request. They were made and sold every- where ; and he himself had his time taken up for a whole month in showing the new Stars to the chief people of Venice. The true philosophers, again, who knew a little, H 2 100 FIEST LESSONS IN SCIENCE. and knew also how little they knew, hut were longing to know more, these, too, rejoiced in the joy of Galileo, and felt that a great step had been made towards a better knowledge of the heavens than as yet they possessed. Among these was the noble Kepler, of whom you shall hear more presently. But others there were who knew nothing, but fancied they knew much — men, ignorant, and yet obstinate in their self-conceit — who refused to believe at all in the report of Galileo. Some said that his eyes had been deceived, and that he had not really seen the Stars he spoke of. Others scoffed at the notion of his seeing them as if such a thing were even possible. One person, who thought himself very wise, argued in this way. " There are only seven openings in the head," he said ; " there are only seven metals (as people' then thought) ; there are only seven days in the week ; and so there cannot be more than seven Planets " — by which he meant the seven Planets of Ptolemy's system, namely, the Sun and Moon, and the five Planets, known to the ancients, and visible to the naked eye. Another refused to look into the tube, lest he should be obliged to see the new Moons, and confess that they were there. 62. At that time, indeed, Galileo himself, who was a teacher of philosophy, appointed by the Government, had been teaching all along according to the system of Ptolemy, which was then believed by most people to be true. He had long had great doubts upon the subject, and had begun to see that the system of Copernicus was very possibly the true one. But, perhaps, he did not as yet feel' so sure about it, as to be ready boldly to assert that the Earth went round the Sun. As time passed on, howover, he became convinced of the truth of the views of Copernicus, and wrote books, from time to time, in which he expressed his opinions freely on this and other FIRST LESSONS IN SCIENCE. 101 matters, and ran no small risk in doing so. For in those days it was thought a matter of religion to believe that the Earth stood still, and that the Sun went round it, because the Bible said so. The Bible said, that " God had made the round world so fast that it cannot be moved." Therefore, it was said, it must be true that the Earth stands still. "A man must not dare to contradict the Bible." You will not forget, I hope, what you have been told, that the Bible was not given to make us wise in matters of this kind, in things which God means us to find out by searching, with the powers of mind which He has given us — ^but to make us wise in matters which concern the heart of man, to make us love and practise truth and righteousness, to help us to be brave for speaking and doing, at all cost, what we know to be good and just and right, to be meek and patient under wrongs, to be kind and loving, to be " pure in heart, that we may see God." 63. At last, in 1613, one of Galileo's writings was attacked in a book, as containing words contrary to the teaching of the Bible, on the question of the Earth and the Sun. He wrote a long letter in reply, in which he showed that there was nothing contrary to religion in believing that the Earth went round the Sun. And he wrote with such power, that it only made those who opposed him the more furious with rage, and determined to crush him. Galileo, having heard of their intention, asked leave of the prince, under whose protecting care he lived, that he might go to Eome and face his enemies. As soon as he reached that city, in 1616, he was seized by officers of the Church of Eome, and charged with the crime of holding the notion that the Earth moved and the Sun stood stUl, contrary to the express words of Scripture — with teaching this doctrine to others, with writing on 102 FIEST LESSONS IN SCIENCE. the subject to persons in foreign countries, and publishing his opinions, and, worst of all, with trying to show that these opinions were right, and did not overthrow the truth of the Bible, in direct opposition to the judgment of the Eoman Church. He was ordered to renounce them at once, and to promise that he would neither hold, nor teach, nor publish, any such wicked doctrines in future. Galileo promised all this, and was then let go. Doubtless he ought never to have made such a promise : for we dare not deny the truth, which God in His Goodness is pleased to reveal to us, and a man must not tell a lie to save his life. But, before we judge him harshly, we must remember that in those days men and women were burnt alive for holding opiaions which the Church of Eome condemned. However, so it was. Copernicus's book, and some of Galileo's letters, were declared to be unfit to be read. And for a time Galileo was silenced, escaping in this way a gloomy dungeon, and a long and painful imprisonment, perhaps, for the rest of his life ; perhaps, also, cruel tortures and a dreadful death. 64. During the next two years Galileo was very quiet, writing papers on matters of science, and receiving from all quarters honours due to the labours of his life ; for he had made other great discoveries, besides these in matters of astronomy. But, at last, sixteen years afterwards, when there was another Pope (as the chief Bishop of the Church of Eome is called), he wrote again another book, setting forth his old doctrine over again, and filled with pleasant wit and stinging satire, against those who condemned it. This roused up the fury of his old enemies into fresh violence. Though an old man now, seventy years of age, worn out and infirm, he was dragged again to Eome. His prince, who was also his friend, tried to shield him in vain. He was ordered to be tried on the same charges as FIEST LESSONS IN SCIENCE, 103 before. At first lie was shut up so closely that his health began to fail. But his friends earnestly pleaded for him, on the score of his old age and dignity, and he was allowed more liberty till his trial should be brought to a close. It took more than three months. First his books were searched through and through for words which might be used to condemn him. Then he himself was closely questioned. And, last of all, he was called to make his defence. The old man, however, had little to say for himself. It was plain that he had broken the promise which he had given so many years before ; and he could not, of course, and would not, deny it. So on January 21, 1633, the sentence was passed upon him, by these ignorant men, that he should curse the " false doctrines,'' which he had spent his life in proving to be true, and renounce them utterly ; and that then he should be kept in prison as long as the Pope thought good, and once every week, for three years, should recite three psalms, expressing his contrition for the grievous sin he had committed in teaching that the Earth went round the Sun, when the Bible and the Church of Eome said that it stood still. Galileo was made to kneel down while the sentence was read to him. But it is said that as he rose up from his knees he stamped on the ground and whispered to a friend, " And yet it does move." 65. He lived nine years longer, years of pain and humiliation. He was ordered not to show himself in public, and to confine himself to his own house in the country, where he was strictly forbidden to receive any of his friends. In addition to an old disease, from which he suffered in his youth, he was now subject to another bodily complaint, which caused him much pain. In 1634 he lost a favourite daughter, and two or three years after- wards he lost the sight, first of one eye then of the other. 104 FIRST LESSONS IN SCIENCE. And yet the noble old man consoled himself amidst his trials by making discoveries in science still, by God's help, though he was not allowed to publish them to the world. And, above all, he found comfort in putting his trust in God, and patiently submitting to His Will. " Alas ! " he once wrote to a friend, " your dear friend and servant Gali- leo has become quite blind, so that this heaven, this earth, this universe, which my own labours have wondrously enlarged, a hundred thousand times beyond the belief of bye-gone ages, is now shrunk for me into the narrow space, which I myself fill in it. So it pleases God ; and so it shall, therefore, please me also." Towards the end of his life the strictness of his confinement was relaxed, and he was allowed to receive the friends, who crowded to him, as well as strangers from foreign parts, who had heard his name, and wished to do him honour. Among these was the poet Milton, who refers to him in the ' Paradise Lost,' when he says — " The Moon, -whose orb Through optio glass the Tuscan artist views At evening from the top of Ftsole, Or in Valdamo to descry new lands, Kivers, or mountains, in her spotty globe." He died January 8, 1642, aged 78 years. When Galileo was on his trial, he was asked if he believed in God. Taking up a straw from the floor, he replied, "The sight of this compels me to believe in Him." In one of his books he wrote to this effect. " How great and common a mistake it is for men to measure God's Wisdom by their own, as if , that only were perfect, which they see to be so ! If man had been told to plan a scheme for the motion of the heavenly bodies, he would have had things very different, more according to his notion of what is proper and beautiful. He would have FIEST LESSONS IN SCIENCE. 105 arranged tlie Stars in perfect order, in squares and in triangles, and other fine forms, the larger ones among the middle-sized or less. And then he would think that he had made the sky look very pretty. God has just shaken them out from His Sand, as it were, as if by chance. And we, poor simple creatures, must be thinking that He has scattered them up yonder without order or beauty ! " 66. It was by means of these same satellites of Jupiter that it was first discovered that light, like sound, takes time to travel. For the satellites of a Planet are, like the Moon, often eclipsed, when they pass behind the body of the Planet as seen from the Sun, that is, when they pass into the shadow which Jupiter's body throws behind him, away from the bright face of the Sun. Now, when these eclipses were first observed, it was supposed that light travelled in a moment, however great the distance might be, and that any event, such as an eclipse, which took place at the distance of Jupiter from us, would be seen by us in the very instant in which it took place, just as if we were present on the spot. But a Danish astronomer, named Eoemer, in 1675, on putting together the times at which these eclipses took place for several years, observed that they always seemed to happen sooner when Jupiter was nearest to us (that is, when the Sun and Jupiter were on opposite sides of the Earth, or when Jupiter was in opposition), and later, when he was farthest from us (that is, when the Sun and Jupiter were on opposite sides of the Earth, or when Jupiter was in conjunction'), than when Jupiter was midway between these two positions. Upon looking clo ely into the matter, he found out the cause of this, namely, that light took time to come from Jupiter to the Earth, though it travels very quickly, at the rate of 192,000 miles in a second, so as to reach the Earth from 106 FIRST LESSONS IN SCIENCE. the Sun, travelling a distance of 96 millions of miles, in 8 minutes 13 seconds, pr 8J minutes. If the sun were at this moment blotted from the Heavens we should still see him in his place, and all his motions would seem to go on for 8^ minutes longer. 67. But you may be asking, " What is a telescope ? and how has it power to make things appear nearer and clearer to our eyes ? " I must try to explain this a little. As to what light itself is, we must leave that question for the present. It is enough for us to know that lights whatever it may really be, seems to come to us from a luminous or shining point, in straight lines, called rays {radii) of light, which spread from the point in all direc- tions, like radii of a sphere from the centre. It matters not whether the point is bright with its own light, or receives its light from another bright point, and only bends it back, or reflects it, to our eyes. Still we see it by means of rays, which spread from it in all directions, and a certain number of which, called a pencil of rays, enter the round hole in front of the eye, called the pupil, and so enable us to see the point. Thus, from every point of the flame of a candle which we look at, and from every point of a white wall, a pencil of such rays has entered our eye. In the former case, each point is giving forth its own light ; in the latter case, each point in the wall is reflecting to us light which has shone upon it, it may be, from the candle or the Sun. In like manner, every point of the Sun is seen by a pencil of rays of its own direct light ; and so is each bright point in the midnight sky, which we know to be a Fixed Star. But each point of a Moon or Planet is seen by reflected light- — by light which it has received from the Sun, and reflects to our eyes. And so, too, while the Sun is shining, each point of the sky overhead, and of the Earth below, is seen by reflected FIEST LESSONS IN SCIENCE. 107 light wliioli has been received from the Sun. Nay, when clouds cover the Sun's face, it is still his light by which we see things in the daytime. His rays escape by the sides of the clouds, and so get reflected from the sky upon the Earth ; and they have power enough also to pierce through the particles of vapour of which the clouds are formed. And so from every object we look at, or rather from each point in every object, from each point of every tree, and flower, and blade of grass, there still comes a pencil of reflected sunlight, stronger or fainter, as it may be, to fill the little opening in front of our eye. Even before the Sun rises, and after he has set, while his disk is still below the horizon, some of his rays strike upward, and are reflected back to us by the sky, and we see what is called twilight. It can be shown that, the nearer we are to the Poles, the longer will be the time of twilight. There is very little of it in tropical countries near the Equator. In such countries, almost as soon as the Sun has gone down, the darkness sets in ; and, in the morning, the first break of day is very soon followed by the rising of the broad disk of the Sun above the horizon. 68. Thus, then, we see each point of an object by means of a pencil of light, which enters our eye, and then, by the wondrous contrivances of God's Wisdom, there is pro- duced within the eye an exact copy, or image, of the point. And similar pencils from all the other points of the object produce their images too. And so, inside the eye, we shall have an image of the whole formed, very much smaller than the object we are looking at, but an exact copy of it. And the marvel is that ten thousand of such pencils may enter the eye at one moment, coming in various directions, and yet not confuse each other's effects. If you make a hole with a pin in a piece of paper, and 108 FIRST LESSONS IN SCIENCE. hold it close to the eye, you may see the whole country round by means of pencils which have passed through that hole into your eye in all directions, and formed their images within it. But here you must observe that you cannot see by a single t&j of light. You must have a pencil of light to enter your eye if you wish to see the point from which it comes. And in that pencil there must be gathered together a certain number of rays in order to produce an effect on our organs of vision and enable us to see the point from which they came. If a bright point be distant, though it is throwing out rays in all directions, yet it is plain that fewer and fewer will fall upon our eyes as we go farther away from it. When we stand far away, the rays, which enter the eye from any point, though they fill the pupil of the eye, will yet be few; they will not be so much crowded together in the pencil as when we stand nearer. In fact, it can be shown that, if we first stand at any distance from the point, and then go off twice, thrice, four times, &c., as far from it, then at the point where we first stood, twice two, or four, times as many rays will enter the eye as when we are twice as far off; three times three, or nine, times as many as when we are thrice as far off; four times four, or sixteen, times as mariy as when we are four times as far off, &c. ; and the point will appear to us four times, nine times, sixteen times, &c., as bright. Hence we may be so far off from a very bright point, that the image formed by the rays which enter the eye from it may only be strong enough to see it very faintly, or may not be strong enough for us to see it at all. 69. Now, as you have been told, the telescope is a hollow tube, with a glass at each end. These glasses are not common flat glasses, but lenses, as they are called, that is, glasses curved on one side, or both, in a particular way. FIEST LESSONS IN SCIENCE. 109 One part of the effect of a telescope is to collect more light from any point of a distant bright object than we can take in with the small pupil of the eye. This is done by a large lens at one end of the tube, which is called the object-glass, and which is turned towards the distant point. It plainly catches a much larger number of rays from the point than the naked eye could catch ; and, by means of its curved form, it has the power also to bend all these rays, so that they all converge, as it is said, or meet together, in one point. This point, in such a tele- scope as Galileo's, is inside the tube, and there these rays form a bright image of that distant point from which they came. The same takes place for every point of the bright luminous object ; and so a bright image is formed of the whole distant object inside the tube. This, then, is the use of the object-glass. Such a glass as this, if held to catch the Sun's rays, will bend them in to form a small image of the Sun. And this will be of such intense heat, because so many pencils of rays are collected by the glass, that it will soon burn a hole in a piece of paper. Hence the place where such an image of the Sun is formed is called a, focus, or fire-place. And the same term is applied to the place where the image of any other object or point is formed by the rays of each pencil being collected in a point. 70. At the other end of the tube is a lens, or a set of lenses, called the eye-glass. This receives the rays coming from each point of the bright image inside the tube, and bends them again, so that they enter the eye in a fit state to produce clear vision, for the image inside the tube is formed too near the eye to be seen distinctly. You know that any object looks magnified if you put it nearer to the eye ; but, if it be brought too near, you cannot see it clearly, though stiU the nearer it is, the larger it will 110 FIEST LESSONS IN SCIENCE. look. So then' this image of the distant object formed ■within the tube being brought so near the eye, would look much larger than the object itself does, if only it could be seen distinctly. Now the eye-glass effects this by bending the rays in each pencil that comes from any point in the image, so that they all enter the eye in a direction nearly parallel to one another, which is the best for clear vision. In fact the eye itself is a lens, or, rather, a set of lenses which has power to bend the rays of any pencil which pass through the pupil, and make them all converge to a point. At the back of the eye is a fine network, called the retina ; and if the rays of a pencil converge to a point on the retina, the effect is then carried to the brain by the optic nerve, of which the retina is a part, and the image formed at the point is seen distinctly. If the image is formed at a point behind the retina, the rays will fall upon the retina in a little circular patch as they are converging towards that point. If the image is formed at a point before the retina, the rays will fall upon the retina in a little circular patch after having passed through that point when they are now diverging, or spreading out again. In either case, then, the image will not be seen distinctly as a point. 71. Now, the more curved the front of the eye is, the stronger will be its power of thus bending the rays of any pencil that enters the pupil. The eyes of most men are so made that they can bend the pencils of rays which come from distant points, such as the Stars, and which come to us nearly in parallel lines, so as to make them converge upon the retina. In other words, most men are able to see distinctly a Star, as a bright point of light. And the eye has also a power given to it, by means of certain muscles belonging to it, of slightly altering its FIRST LESSONS IN SCIENCE. Ill form in front, and making the curve somewhat greater, so as to make a pencil of rays which is coming from a point nearer than a Star, if not too near, converge also to a point in the retina. Thus most men can see clearly a distant ship at sea, or a tree upon a hill, or a bird upon a tree (if near enough for the image formed of it upon the retina to be strong enough to be seen at all), or an object still more close to the eye, as the letters of a book, pro- vided that the book be not held too near. Most persons can read distinctly when the book is held about two feet from the eye. But if they hold it closer, the eye has not power to curve itself enough, so as to cause the rays from each point of the page to converge to a point in the retina. They will form their images hehind the retina, and so these will not be seen distinctly. 72. This is not the case, however, with the eyes of all persons. Some persons have their eyes too convex, or curved outwardly in front, so that the image of a Star will be formed at a point before the retina, and so they will see, not a bright point, but a little circle of fainter light. And all other objects, which the eyes of most men see distinctly, will appear to these indistinct. But then such persons are able to read a book when held closer to the eye than two feet; and using the power which the eye has of curving itself yet more, they can read the book distinctly when held still closer. Hence such persons are said to be short-sighted. Their sight is excellent for near objects ; but for more distant ones they require the help of spec- tacles, of which the glasses are concave lenses, that is, slightly hollowed or curved inwardly on each side. The effect of these is to make the rays which pass through them converge towards a point farther off than they would otherwise do, so that the very convex eye is now able to bring them to a focus exactly on the retina. 112 FIRST LESSONS IN SCIENCE. Others, again, have the fronts of their eyes less convex in front than usual. They can use their muscular power to curve them a little more, and so be able to see distinctly a distant object. But they cannot curve them enough to see distinctly a near object, or to read a book at the usual distance. They must hold a book three feet off, in order to see the letters distinctly; and at that distance, probably, the images will not be strong enough to be seen at all. Such persons are said to be long-sighted; and require the help of spectacles with convex glasses, which help to make the rays converge before they enter the pupil, and then the eye does the rest, and brings them to a focus on the retina. As persons get older, the front of the eye usually becomes less convex ; so that most old persons require the aid of such spectacles. For the same reason, however, short-sighted persons get to see more distinctly, without the help of concave glasses, as they get older. 73. Let us now return to the Moon. As the Earth attracts the Moon, so too the Moon attracts the Earth, and disturbs its motion about the Sun very slightly. And, in fact, all the Planets attract one another, and more or less disturb each other's motions, as we have seen in the case of Neptune. So that all this shows that they do not exactly move in circles round the Siin, as we have been supposing, though the curves they describe are almost circles. And when it is desired to fix the place of any Planet, as Jupiter, and say in what part of the sky it will be found on a certain day, all these little effects must be taken into account, and it must be seen how much Jupiter is drawn from his proper place in his orbit about the Sun, by each of the other Planets, and in what direc- tion he is drawn. Besides this, we must take into account, what time has passed since the rays, by which FIRST LESSONS IN SCIENCE. 113 ■we see him, left the Planet, and during that time he and the Earth have heen moving on. And many other nice calculations of this kind must he made, before we can be sure that we know where the Planet will be on a given day. But in this way its place may be fixed in the sky long beforehand. And this, perhaps, shows, as clearly as anything, the wonderful knowledge which God has now granted to us, far greater than the knowledge which even Galileo possessed, so that, in spite of all such dis- turbing forces and irregular movements, men, who study these matters, are able to fix many years beforehand, and to set down in books for the use of their fellow-men, the places which Jupiter, or any of the heavenly bodies, will have at any precise moment of any future day. Thus every year there is printed in England, by the Queen's Order, a book called the Nautical Almanac, which is meant specially for the use of sailors. And in this book are set down the places of most of the bright or well-known Stars, whether Planets or otherwise — not the places which they had when the book was printed, but those which they will have at the end of five years from that time. 74. These books are printed year by year continually ; so that ships sailing from England, and expecting to be absent some time, may obtain them for some years to come before they start, and find their way, by their help, across the great deep in safety. For, by looking at the Sun and Stars, sailors are able to direct their path over the wide ocean, though they can see nothing but the sea and sky around them. They are able to make out each day how far they have sailed, and in what direction they have gone. And each day at noon they set down upon a large map a dot of ink, to mark the exact spot in the sea which the ship has reached. Eor this purpose they are very much helped by watching the eclipses of Jupiter's satel- 114 PIEST LESSONS IN SCIENCE. lites. And, therefore, in the Nautical Almanac, the exact moment is fixed, five years beforehand, when each of these satellites wUl he eclipsed — not passing behind the body , of the Planet, as seen from the Earth, but passiag into his shadow, as I have said, vs^hich is thrown away from the Sun ; so that, as we cannot see the shadow itself, but only the effect of a satellite entering it, they seem suddenly to disappear at a little distance from the body of their lord. But besides being eclipsed by Jupiter's shadow, they are also occulted, or hidden, by his body, when they pass behind it as it were. The first and second satellites are so near the Planet, that the times of their entering into the shadow (immersion), and coming out of it {em:ersion), cannot both be observed. The satellite, if we have seen its immersion, will be occulted before it emerges ; or it may be occulted when immerging into the shadow, and we can only see its emersion. 75. This you will easily see by a figure. Draw a small circle to represent the Sun's large body, and at some distance from it draw a much smaller one to stand for Jupiter. Draw two lines touching both circles, so ag to meet when produced in a point behind Jupiter, that is, on the farther side of him from the Sun. Then the space behind Jupiter, between these two lines, will be that of the shadow of Jupiter. No light can reach this space from the Sun, because of Jupiter's body. Now draw a bit of the Earth's orbit around the Sun, and around Jupiter draw a circle to represent the orbit of one of his Moons. Let E be the Earth in any part of its orbit, but so as not to lie between the Sun and Jupiter ; and from E draw lines Ea, Eb, to the points where the orbit of the satellite cuts the lines which bound the shadow. Then the im- mersion will take place at a, and the emersion at 6. Now draw lines Eo, Ed, from E, to touch the body of Jupiter, To face page lU. PIEST LESSONS IN SCIENCE. 115 and to cut the satellite's orbit behind Jupiter in c and d. You will see then that, if the orbit be large, as that of the third or fourth satellite, the immersion and emersion will both be seen from E, the satellite suddenly disappearing from view as it enters the shadow at o, and not being seen again till it comes out of it at 6. Then it will go on, till at c it disappears again, and suffers oocultation while it goes on from c to d, when it has passed behind the body of the Planet, and comes again into view from E. But if the satellite's orbit be a very small one, as that of the first or second satellite, you will see that, if its immersion at a be visible, it will get behind the body of the Planet and be occulted, before it emerges at 6; or, if its emersion at 6 is visible, it must have been behind the Planet's body at its immersion. 76. Sometimes the four are seen in a line on one side of Jupiter, sometimes three on one side and one on the other, sometimes only three, two, or even one can be seen, the others being at that moment eclipsed in the shadow of Jupiter. All four, however, never disappear at the same time, for it is a curious fact that the three inner moons can never be all together on the same side of Jupiter, so that two only can be eclipsed at the same time. The third of these moons, reckoning outwards from Jupiter, is the largest — larger, in fact, than Mercury ; the second is the smallest, a little larger than our Moon. But they are all much smaller compared with Jupiter, than the Moon is compared with the Earth. The nearest of them is about 289,000 miles off from Jupiter, farther off than the Moon from the Earth, but it goes round him in less than two days, fourteen times as fast as the Moon goes round the Earth. If it did not go so fast, the great mass of Jupiter would draw it in to himself. The farthest off of them goes round him in seventeen days, and the I 2 116 FIRST LESSONS IN SCIENCE, others at lesser intervals. So that eclipses or occultations of one or other of them are almost daily happening. And the times when they will happen, and the places of the Planet, are set down in this book long beforehand with the most perfect accuracy, so that those who travel by land or by sea may tnow when and where exactly to look for them. 77. Now let me tell you something more of what is known about the nature of the Sun himself, and each of his troop of Planets. You know already the shape and size of the Sun, and his distance from the Earth, But there are one or two other things to be said about him. "When he is looked at with a telescope, by the help of a coloured glass, so that the eye will not be hurt by the glare of his light, there may often be seen upon his surr face certain dark spots or patches, of no regular shape, some large and some small, And these spots, if watched from day to day, are seen to move from the Western side of the Sun's disk to the Eastern, always moving in one direction. Then they disappear, and then, perhaps, they will come into sight again on the same side as before, and pass again over the Sun's face. The time wiihin which any one of these spots is eeen to ajppear on the edge of the Sun's face, pass across, disappear, and appear again, is always the same, about 25J days. Whatever these spots may be, this fact plainly shows that the great globe of the Sun is spinning about on its axis, like the Earth, turning round from West to East once in 25J days. It is found that all the Planets and their Moons turn round upon their axes, from West to East, as the Earth does, with the sole exception of Saturn's satellites, which turn from East to West. 78, "But what are these spots on the Sun?" We paimot say for certain. But there is great reason to MEST LESSONS IN SCIENCE, 117 believe that when we look at the Sun we do not see his real hody, but a bright outer covering of luminous or light-giving matter, which wraps it round, just as the air wraps round the Earth. Perhaps there may be another covering of air inside this, next to the body of the Sun ; and there seems some reason for thinking that there is a third outer wrapper of some airy or gaseous matter. However this may be, it seems almost certain that these spots are hollows in the luminous covering which floats around the Sun's body, made, it may be, by violent storms sweeping across his body underneath, or by other causes which we cannot guess at, and that the dark patch which is seen in the centre of any one of them is a part of the Sun's body, which is just disclosed to us. Around the/cdge of this central black patch is a dark border or fringe. And this is what we might expect if we conceive a vast hollow pit, as it were, with shelving sides sloping down through the luminous stratum towards the body of the Sun. 79. These spots are always found to lie within two belts or zones, on each side of the Sun's equator. Some- times none will be seen for weeks or months together ; sometimes great numbers will be seen at once. They may be small and numerous, clustered perhaps in groups near one another, and so close as almost to mix. Or a very large one may be seen, as much as 45,000 miles in length and breadth, and such a spot as this may be seen after a time to break up into several small ones. Some have appeared and vanished in less than a day. But most of them are visible for about six weeks ; and one in 1779 was seen for six months, disappearing and reappearing several times in that interval. When watched from day to day, or even from hour to hour, they are seen to get larger or smaller, changing their forms by degrees, and 118 FIRST LESSONS IN SCIENCE. at last vanishing away, the dark edges closing in upon the black patch, which dwindles to a mere point, and at length disappears altogether, after which the dark part vanishes also. Besides these dark patches, the face of the Sun is flecked or mottled over with a numher of minute dark spots, which, when closely watched, are seen to be in a constant state of change, as if the luminous matter were in constant motion. And near the larger spots there are often bright curved and branching streaks, which are best seen towards the border of the disk. 80. The Sun has been ordained by its Creator to be the great source of light to all the bodies of its system, and also of heat, and hence of motion. By its heat are pro- duced the winds, and that state of the air which brings on thunderstorms and lightning. By the Sun's rays the plants are helped in drawing their needful supplies from the soil and the rain; and the plants support animals, and plants and animals are the food of man, and so he is nourished as well as warmed by the action of the Sun's rays. It is the Sun that has been helping through vast ages in laying up stores of coal for man's use, which, as I hope to show you in another book, are made wholly of vegetable matter. And now by the help of this coal he speeds along his iron roads at the rate of a mile a minute, or churns the briny deep with the wheels of his steam- ship, riding, as it has been said, upon the wings of sunbeams. But what it is which causes the Sun's heat, or its power of giving light to the world, God has not given as yet to mortal man to know. It is one of the secrets which He has not yet been pleased to reveal to us. 81. Next let me speak of the Moon, which is better known to us than any other heavenly body, being so near FIRST LESSONS IN SCIENCE. 119 to US. We can see marks upon it with our naked eyes, though, we cannot see plainly what they are. But by the help of the telescope we can make out distinctly that these are no other than mountains and valleys. We can see the shadows cast by the mountains ; and when the Moon is not full we can see the border, next to the dark part, jagged all along, and notched with deep hollows and marked with sharp projecting points. Sometimes the peak of a high mountain is seen beyond the extreme edge of the bright part, catching the sunbeams and glittering as a bright speck in the midst of the dark field. But all the mountain ranges in the bright p^irt appear shining in the Sun's rays of a beautiful creamy white colour, casting shadows of the deepest black on the side turned away from the Sun, these shadows getting longer or shorter, according to the position of the Moon with regard to the Sun. These mountains in the Moon are very numerous. More than 1000 have been actually measured by the skill of man, by means of the lengths of their shadows, and some have been found to be 23,000 feet high, not much lower than the highest mountains of the Earth. They are most of them cup-shaped in form, and the hollow within the cup is very deep, three or four times as deep as the mountain is high. The larger ones have flat bottoms within the cup, from the centre of which rises a small steep conical hill. In short, we are here looking down into volcanoes which are now burnt out. But the marks of streams of lava can be clearly traced with powerful telescopes. There is no sea, no sign of water in the Moon — no clouds, no sign of an atmosphere. When a star passes behind the Moon, however faint may be its light, it is lost to sight in an instant behind the body of the Moon, which would not be the case if it was sur- rounded by air as the Earth is. For then the light of the 120 FIEST LESSONS IN SCIENCE. Star -woTild teoome fainter at first, as soon as it got behind the fringe of air, 82. But in speaking of what we see in the Moon, we can only speak of this side of the Moon, the side turned towards the Earth. The Moon, indeed, turns round from West to East upon its axis, as the other bodies of the Solar System, and probably all the Stars do. But she turns in such a way that the same face is always turned towards the Earth, and we can never see the other side, except a little bit over the border. For anything we know, the state of things may be different there. But since the Moon goes round the Earth in 27^ days, and always shows the same face to us, it is plain that she must turn round upon her axis once, and once only, in that time. So that any place upon its surface must lie for about fourteen days exposed, without change of day and night, to the glare and burning heat of the Sun, without relief from the cloudy shade or the Cooling breeze. And for the other fourteen days it must be turned away from the Sun, and lie in extreme cold and utter darkness. It seems impossible that any form of life, like those which we see on this Earth, should be found at present in the. Moon. No sign of vegetation has yet been observed — ^no change of the surface, such as might arise from change of season. If there were people in the Moon, the Earth would present to them a splendid object. Its face would appear to them thirteen times as large as the Moon's does to us, and showing phases just the opposite of hers. But, as the Earth turns round each day on its axis, they would see a constant change going on in the appearance of the bright part of the Earth, and see distinctly, when- ever our sky was clear of clouds, the countries on the Earth's surface, as we see the tracts of country in the Moon. Often, about the time of new-moon, when the FIEST LESSONS IN SCIENCE. 121 dark face of the Moon would not properly be seen at all, we may perceive it shining faintly with EartJisMne, the light of the full-earth, received from the Sun, being thrown back or reflected upon the Moon, as that of the full-moon is upon the Earth. 83. Mercury is too near the Sun to be well observed. It is said that Copernicus, living, as he did, among the marshes of the Vistula, could never get a glimpse of this Planet. And, though he can be seen at times, yet we know little more of him than that he is globular, about one-fourteenth of the Earth in size, and showS phases like the Moon. Towards dusk, or before sunrise, this Planet twinkles with a vivid, rosy, light ; and, with a good telescope, it may be seen in the day-time, when not very near to the Sun's place. Venus is the most brilliant of all the Planets, her yellowish-bright light being at certain times so bright as to cast a shadow. When she rose in the morn- ing, the ancients called her Phosphorus or Lucifer, the light-bringer, and, when she shone after sunset, they called her Hesperus or Vesper. And such words may often be met with now in poetry. It is, however, the most difficult of all the Planets to be seen distinctly with a telescope. Its intense lustre dazzles the sight. All that can be made out is that its surface is not mottled over with spots like the Moon's, but bright all over, except that there may be slight indications of some parts being rather brighter or duller than others. Also the bright horns and edges of her disk, as seen in her different phases, show the same irregular uneven appearance as in the Moon, though not so distinctly. Prom observing these faint marks, it has been concluded that Mercury and Venus both turn on their axes in about the same time as the Earth. This is very probable, but 122 FIRST LESSONS IN SCIENCE. not certain. Most likely we do not see, as in the Moon, the real surface of these Planets, hut only their cloudy wrappers, which, if they are inhabited, may serve to ward off the intense glare of the nearer Sun. To Mer- cury the Sun wUl appear sometimes twice, and sometimes thrice, as large as he does to the Earth ; to Venus, he will seem half as large again as he does to the Earth. 84. Since the radius of the orMt of Venus is 60 millions of mUes, and that of the Earth's orbit, 96 millions of miles, it will follow that when Venus is nearest to us, her dark side is turned towards us, and we cannot see her at all, unless she happens to make a transit over the Sun's disk. If we draw a circle to represent the orbit of Venus, with the Sun, S, in the centre, and take a point E, outside it, to represent the Earth, then if V represent Venus in her orbit, the angle VES is called her angle of elongation, which is plainly greatest when the line EV just touches the circle. This angle gives ns an idea of the distance on each side of the Sun, to the East or West, to which the Planet can stray, as it were. For Mercury, the greatest elongation is about 29°, for Venus about 47°. Venus appears brightest when her elongation is about 40°, on either side of the Sun, between the Earth and her position of greatest elongation. She is very far from being full then; indeed, her phase is that of the Moon about five days old. But when her phase gets larger, she gets also farther away from the Earth : so that this is the position in which she appears brightest, bright enough to cast a shadow at night. The transits of Venus over the Sun's disk are of the utmost import- ance in Astronomy, as by means of them a close approximation can be made to the distance of the Earth from the Sun. They happen, however, very rarely, but always in the beginning of June and December. A To face page 122. FIRST LESSONS IN SCIENCE. 123 transit occurred on June 3, 1769 ; when the chief countries of Europe sent out able astronomers to differ- ent parts of the world to make the proper observations, and an expedition was sent out from England to the island of Tahiti, in the Pacific Ocean, under the famous Capt. Cook. Another transit happened on Deo. 8, 1874. 85. Mars has a ruddy, fiery, appearance, which appears to arise from a strong red colour in his soil. But this is more remarkable to the naked eye, than when the Planet is seen through a telescope ; and, indeed, the colour is yellowish, rather than red, when so observed. His surface is strongly marked with spots, which, no doubt, are the outlines of continents and seas, the land appear- ing of a dull red, the seas of a greenish hue. At the poles there are bright spots of dazzling whiteness, which are thought to be masses of ice and snow, as they are seen to grow less when the Sun's heat is strongest upon them, and to be largest at the end of the polar winter, which is one long night with Mars, as it is with the Earth. For Mars resembles the Earth in many respects. His axis is inclined to the plane of his orbit nearly at the same angle as that of the Earth to the Ecliptic, and he turns round it in about 24J hours. Hence his seasons, and the changes of day and night upon his surface, will be very much the same in character as on the Earth. But, as his year contains 687 days, being nearly twice as long as the Earth's, his seasons will be nearly twice as long as ours. Mars appears to have an atmosphere also, as the Earth has, through openings in which, by careful long-continued observations, the form of the land and sea have been noted, remaining still the same, whenever they could be observed. He is best seen when in opposition, for we then see his full disk ; and, as he is then also nearest to the Earth, he is, at such times, bright enough to be 124 FIBST LESSONS IN SCIENCE. compared witlt Jupiter. More commonly, his fprm is gibbous, as part of his bright face is turned away from us. The breadth of the Sun's disk will appear to Mars about two-thirds of what it does to the Earth, 86. Omitting the small Planetoids, about which I have said all that you need be told about them, I have next to speak of the great Planet Jupiter, who, when nearest to the Earth, in opposition, is almost as brilliant an object as Venus herself, when not at her very brightest. In fact, Jupiter is, perhaps, at such a time, even more remarkable than Yenus, as he is seen at midnight in full splendour, not dimmed, as Venus is, by the presence of sunlight. He is by far the largest Planet of the System, a thousand times as large as the Earth, and nearly half as large again as all the rest of the Planets put together; and his mass, that is, the quantity of matter in his body, measured by his power of attracting other matter, is three times as great as that of all the others, and disturbs very much the small Planetoids, which are so near him. And yet both in bulk and mass the Sun is more than a thousand times bigger than Jupiter. The surface of Jupiter, when seen through a telescope, appears of a light yellow colour, streaked with a number of belts, fading off towards the edge of the disk. These belts are believed to be open- ings in his cloudy yellowish atmosphere, through which his darker body becomes more or less visible. There are generally two strongly-marked belts, one a little north, and the other south of his equator, while the equator itself seems rather brighter than the rest of the disk. And there are smaller ones nearer to the poles, which change their form much less frequently than the equatorial belts. Spots only, darker than the belts, have been seen in the equatorial regions; and, by watching them, astronomers have found that he is whirled round on his axis in about FIRST LESSONS IN SCIENCE. 125 ten hours, an extremely short time if we consider his vast size. In fact, his diameter being 88,000 miles (about ten times the Earth's, or one-tenth of the Sun's), we shall find his circumference at the equator to be nearly 280,000 miles ; and, therefore, a point on the equator will be going round at the rate of 28,000 mile an hour, twenty-eight times as fast (12) as a point on the Earth's equator. This is the same as the rate at which the whole body of Jupiter moves in its orbit round the Sun, namely, 30,000 miles an hour, a speed sixty times as great as that of a cannon ball. In consequence of this very rapid rotatory motion, the body of Jupiter is much more flattened at the poles than that of the Earth is. In fact the equatorial diameter exceeds the polar by nearly 7000 miles, and the flattened shape of the Planet is very conspicuous. The day will only be about five hours long in Jupiter ; and his axis is so nearly perpendicular to the plane of his orbit, that the days and nights wiU be almost always of the same length, and there will be scarcely any change of seasons. The four moons of Jupiter are found to show always the same face to their primary, turning on their axes, like our Moon, from West to East, in the same time that they go round him. The nights of Jupiter will be always moonlit, except during eclipses, and there will often be in the sky at the same time three moons of different apparent sizes, and having different phases. But there is a region close to his flattened poles from which not one of his satellites can be seen. The breadth of the Sun's disk will appear at the distance of Jupiter only one-fifth of what it appears at the Earth. , The system of Jupiter is a miniature, so to speak, of the Solar System. We can here see on a small scale, and taking place in short times, and all completely within our powers of observation, the same effects 'which take 126 FIEST LESSONS IN SCIENCE. place in tlie Solar System on a nrncli larger scale, in the course of ages. 87. Saturn comes next in order, which, is nearly as large as Jupiter, and is attended by eight moons. But the most remarkahle fact with regard to this Planet is that it is surrounded with three (or, it may be, even more) broad, flat, and very thin rings, having all the same centre, which is very nearly the same as that of the Planet itself, the two outer ones bright with the Sun's light, and the inner one dark, very faint, and almost transparent. They all seem to lie in one plane, and remain parallel to them- selves, as the Planet goes round the Sun ; and they are parted from one another by very narrow intervals, and from the Planet by a much wider one, in which the black sky may be seen. Hence they appear almost as one ring, and are sometimes spoken of as such. This occasioned the strange peculiarity which Galileo noticed in the form of Saturn, and whict his telescope was not powerful enough to explain to him. The body of Saturn also is striped with belts, like those of Jupiter, but broader, and not so strongly marked. One principal belt remains almost unchanged upon the Equator. It is plain that the ring is a solid opaque substance, since it throws a distinct shadow on the body of the Planet, on the side nearest the Sun, and on the other side the ring itself receives the shadow of the Planet. The Planet revolves about an axis, perpendicular to the plane of the rings, in about lOJ hours ; and hence it is, like Jupiter, much flattened at the poles. Its days and nights will be short, as Jupiter's. As, however, this axis is not, like Jupiter's, nearly perpen- dicular to the plane of the Planet's orbit, but bent down, like the Earth's, through a large angle of 27°, there will be changes in the seasons, and changes also in the length of day and night. FIEST LESSONS IN SCIENCE. 127 88. As Saturn goes round the Sun, sometimes we see the northern or upper surface of the ring, sometimes the southern or lower, and sometimes the thin edge. This edge cannot be more than from 100 to 250 miles broad, and at so great a distance can only appear like a mere line of light on the body of the Planet, being, indeed, quite invisible except with a very strong telescope. This occurs once in fifteen years, when Saturn, in going round the Sun (which he does in about thirty years), reaches the points in its orbit which correspond to the equinoxes in the Earth's orbit. At such times, having been looking at one side of the rings for fifteen years together, we begin to see the other side, and shall continue to see it for fifteen years. At such times also the ring may be invisible for a short time, because we are looking on the dark, and not on the brightened side of it. It is believed that the surface of the rings is uneven, as if there were mountains upon it. The outer ring revolves round its axis in about 10^ hours, the same time as it would take a satellite to go round the Planet, revolving at the same distance as the middle of the breadth of the ring. Probably the inner rings revolve, each in its own time somewhat different from this. The motion of this entire system — the Planet, its rings, and its satellites — is so exactly maintained that all the parts of it keep their proper distance unchanged while together they travel on about the Sun. This revolving motion of the rings, and the fact that their centre is not exactly the same as the centre of the ball of the Planet, can be shown to be necessary, in order that the rings may not be drawn in by the attraction of the Planet, and fall upon its surface. The apparent breadth of the Sun, as seen from Saturn, will be only one-tenth of what it is when seen from the Earth, 89. We know very little about Uranus, except that he 128 riEST LESSONS IN SCIENCE. has six satellites, and that their motions form the only exception to the law which is found to prevail among the bodies of the Solar System, namely, that of being from West to East. The moons of Uranus move in orbitgj which are nearly at right angles to the plane of the Ecliptic (whereas all the other bodies of the System con- fine their movements within the Zodiac, except the small Planetoids), and they move from East to West. At the distance of Uranus, the Sun's breadth will appear only, one-nineteenth as large as it appears at the Earth. The diameter of Uranus is d,bout four tinies that of the Earth. Neptune is a little larger than Uranus. The Sun appears to him about one-thirtieth only of the size which it appears to have when seen from the Earth — just, in fact, as large as Venus does, when seen as a morning or evening star. But the light of the Sun at Neptune will be far greater than that of Venus at her brightest ; in fact, both the light and heat which reach Neptune from the Sun will be about a thousandth part of what we receive on the Earth. Neptune's distance from the Sun is 2884 millions of miles, which distance light will travel in about 15,000 seconds, or 4 hours 10 minutes ; so that the Sun will have actually risen and set nearly four hours before he will appear to do so to the people, if any, who live in the planet Neptune, 90. But are there any such people in Neptune and the other Planets ? This is a question which has been much discussed, and to which no certain reply can be given. Our first impulse will, no doubt, be to suppose that these bodies are inhabited worlds. It is natural to think that the Great Creator has not made aU these wise arrange- ments of moons, and rings, and motions of all kinds, and made them, as it seems .to us, in vain. But if we come to look into the question closely, we shall find much to make FIRST LESSONS IN SCIENCE. 129 Tis cautious and humble before we lay down laws to tlie Almighty for the government of his own works. As Galileo said, we shall not be so ready to " measure God's wisdom by our own, as if that only were perfect which we see to be so." The fact is that, though we cannot determine the matter either way, yet as far as we have any positive signs to guide us, they tend to show that the Planets are not inhabited. They certainly show that they are not inhabited by creatures like those of this world. If there are any living creatures there, and such, no donbt, there may be, their natures must be wholly different from any we have to deal with here, and from any we can conceive of. The only body of the Solar System which we can examine thoroughly is the Moon ; and that, we have every ground to believe, is not inhabited. Her surface lies waste and barren, like the streams of lava or of volcanic ashes on the Earth, or like the sands of Africa, where no blade of grass finds root. We can examine portions of the Moon's surface so small as a mile square : but no sign of change, no token of life, animal or vege- table, has ever been discerned in any part of it. As you have been told already, it has no water and no air. In short, it is a mere cinder, " a collection of sheets of rigid slag and inactive craters." 91. Then, as to the Planets, it is known that though the hulk of Jupiter is so large, yet his mass is vastly smaller than it would be if he were made of matter as dense upon the whole as the matter of the Earth is. Bulk for bulk, he is lighter than the Earth, though his whole mass is so much greater. In fact, Jupiter may be even now a fluid mass, not more dense than water, and this may account for the belts by which he is always surrounded: they may be belts of vapour raised by the action of the Sun. But yet the mass of Jupiter is enormous, and its attrac- E 130 FIEST LESSONS IN SCIENCE. tion will be very great upon a body at the surface of the Planet. In fact, anything which weighs a pound at the Earth's equator would weigh 2^ pounds at the equator of Jupiter. So that if there are living creatures in Jupiter, of what kind must they be ? Dwellers in the waters, at all events, which would help to bear up their weight. But, beyond these, it is scarcely conceivable what beings could live there. And the same is true in a yet greater degree of Saturn, where the Suns light and heat must be one-ninetieth of what they are on the Earth, and where the matter of the ball must, upon the whole, be much less dense than water. Probably a large portion of the ball, which we see as his, is vapour; and yet his whole mass is large, and the weight of a body on his surface will be much greater than on the Earth. Here too, if we sup- pose that there are inhabitants at all, they must be "floating in their ice-cold water, shrouded for ever by their humid skies." And the same holds good in a yet stronger degree for Uranus and Neptune. From all that we can see of Mars, we have reason to think that he resembles the Earth more than any other Planet, and he may, perhaps, be peopled with inhabitants. Of Mercury and Venus we know very little. But Venus receives from the Sun twice as much light and heat as the Earth does, and Mercury seven times as much. It is hard to suppose the existence in such circumstances of living creatures such as we know of. 92. We cannot doubt thepower of the Creator to adapt these Planets, or any others, to be inhabited worlds. He may enable animals and plants to live on the surface of Venus, screening them from the Sun's burning rays and glaring light by clouds, which never allow them to get a glimpse of the Sun. Or he may adapt their bodies to live with comfort in the cold, moist, dismal, gloom of FIEST LESSONS IN SCIENCE. 131 Uranus or Neptune. Or he may even fit tliem to live upon one of the minute Planetoids, whose attraction is so small that "a man placed on one of them would spring with ease sixty feet high, and sustain no greater shock in his descent than he does on the Earth from leaping a yard." All that can be said is, we have no reason what- ever to believe that He has exerted such a power. The only body of the Solar System, the Moon, which we know well, we are almost sure has no inhabitants now. We have no reason to suppose that it has had any during the ages upon ages which passed away, before the creation of man upon this Earth. It is quite possible, therefore, that the Planets may be in the same state now. At all events, it is quite possible that they may not be inhabited by a race of spiritual beings like man — creatures gifted with reason, and conscience, and will. We, in our poor wisdom, may think it necessary that there should be such beings, in the various bodies which circle round the Sun. " If we had planned the system," as Galileo said, " we would have had it so.'' But God, we know, ordered otherwise in the case of this Earth. For countless ages, for millions and millions of years, this Earth was in being before man was placed upon it. It may be so with the rest of the Solar System. 93. And, if we are asked for what then were the Planets made, we may answer, with a wise and good man (Coleridge) " perhaps to make dirt cheap " — that is, if they are made for no other reason, they may have been made to show, at all events, how little in the eye of Him, whose Name is Love, and Truth, and Holiness, are mere masses of matter, however vast, or multitudes of living creatures, however fearfully and wonderfully made, com- pared with one living man, made in the very image of his Maker, one who can know God, and glorify Him with a K 2 132 FIEST LESSONS IN SCIENCE. pure and loving service, whioh sliall begin in this world, and endure for ever. Yes! the order of this mighty Universe must he beautiful in the eyes of its Creator. We can fancy, as it were, the glorious orbs of Heaven singing for ever, as they go, in perfect harmony, a song of praise to their Almighty Lord. But let us ever bear in mind this fact, that the voice of one little child, that lisps with reverent lips the words of prayer, makes sweeter music than this in the ears of its Father in Heaven. Let us be sure that the acts of willing, loving, obedience, which God wit- nesses in His children upon Earth — their faithful dis- charge of duty, their patience under sufferings, their meekness under wrongs, their self-sacrificing love for the sake of others, their efforts to overcome some bosom sin, their deeds of manliness and brave resolve in the main- tenance of the truth, or in the defence of some righteous cause, it may be, even unto death — such acts as these, which are the acts of spiritual beings, are more beautiful and blessed in His Sight, who is the Father of Spirits, the God of Eighteousness, and Truth, and Love, than all the hosts of Suns and Stars in the Universe. 94. Besides the Planets and Planetoids, there appear to be also a multitude of much smaller bodies, which circle around the Sun, and sometimes come in contact with the Earth, striking upon it with great force, when they happen to come within the range of her attraction. There are records of many masses of stone and lumps of iron, which have thus fallen from the higher regions of the air, where they would never have been generated. In 1620, a mass of iron fell from which an Eastern Emperor had a sword forged for his use. On April 26, 1803, thousands of stones were scattered over a district in Normandy by the bursting into fragments of a large fiery globe. Some FIRST LESSONS IN SCIENCE. 133 have thouglit that these masses were shot up originally from volcanoes in the Moon, with great violence, and went so far, that the Sun or the Earth got a stronger hold upon them than the small mass from which they came. However, it is now generally admitted that they are of the nature of Planets. And all the fiery appearances, with which they are attended, can be fully accounted for by considering the effect of the amazing speed with which they travel upon the air, which they suddenly enter and condense before them. 95. " Shooting stars also," says Sir John Herschel, " often followed by long trains of light, and those strange meteors, like great fiery globes, which are seen, not un- commonly, traversing the higher regions of the air — sometimes leaving trains behind which last for many minutes, sometimes bursting with a loud noise, sometimes quietly disappearing — may be regarded as bodies outside our Planet, becoming visible only when in the act of grazing the boundaries of the air. One such meteor, on Aug. 18, 1783, traversed the whole of Europe, frord Shetland to Eome, at the rate of thirty miles a second, at a height of fifty miles above the Earth, with a light greatly surpassing that of the full moon, and a diameter of fully half a mile. It changed its form visibly, and, at last, quietly parted into several distinct bodies, taking parallel courses, each followed by a train of light. 96. On several occasions shooting stars have been seen in astonishing numbers, "like a shower of rockets, or snow-flakes falling, and brilliantly illuminating the whole heaven for hours together, not in one spot only, but over whole continents and oceans, and even in both hemi- spheres." This grand display takes place usually on the night of Nov. 12 or Nov. 13, though not in every year. And, time out of mind, these days generally, but some- 134 FIEST LESSONS IN SCIENCE. times the days before and after, have been so marked. There is also a more certain, though not so brilliant a dis- play, on Aug. 9, 10, and 11, when many large, bright shooting stars, with trains, are almost sure to be seen. It is believed that a stream of meteors is always circulating round the Sun, in a kind of broken ring of many groups ; and that the Earth, going round in her orbit, crosses at these times the paths of these bodies, and now and then comes upon a group of them, but not always. 97. Hitherto I have been speaking of the orbits of the Planets and Moons, as being actually circles, when not disturbed. But, in point of fact, they are not circles, but curves called ellipses. You may describe an ellipse in this way. Pin down a piece of paper by two pins. Then take a piece of thread, and tie its ends so as to make a loop of string large enough to lie loosely around the two pins. And now, with the point of a pencil inside the loop, stretch out the string upon the paper so as to be tight, and trace a line upon the paper by carrying the pencil round the pins, as far from them as the stretched string allows. The curve, which you will have thus drawn, is an ellipse. And you will see that it is of an oval, or egg-like, shape, longer in one direction than the other. If you put the pins far apart, keeping the same length of string, so that the string lets tbe point of the pencil pass at only a very short distance from the pin at each end of the figure, the ellipse will be a very long one, or, as it is said, an ellipse of great eccentricity. But, if you put the pins close together, it will be an ellipse of very small eccentricity, and very nearly a circle. In fact, by using one pin only, and putting the loop over it, you will draw a circle. 98. Now all the orbits of the Planets and Moons of the Solar System' are ellipses of very small eccentricity, FIRST LESSONS IN SCIENCE. 135 almost circles, except those of Mercuiy and the Planet- oids, which move in longer ellipses, though still not -very- different from circles. It seems as if a large Planet, of -which the small ones are the fragments, had been burst or shattered -with great violence, and so these little bodies -were shot off in all directions, far out of the path -which the unbroken Planet -was taking, and out of the Zodiac itself, -within -which he -was moving. And though the Sun's strong arm dragged them back, and compelled them to go round him still as the rest, instead of running away from him altogether, yet he -was obliged to be con- tent -with letting them go round in these longer ellipses, running off at one part of their course to a greater distance than at others. 99. But this curve, the Ellipse, is a curve of such importance in Astronomy, that I must tell you something more about it. and explain to you some of its chief proper- ties. Next to the circle, -which, indeed, as you have seen, is a kind of ellipse, it is the simplest of all curves. And on this account it had been closely studied by the ancient philosophers, hundreds of years before it -was kno-wn that the bodies of the Solar System moved in ellipses. When, therefore, the illustrious Kepler, -who lived in the same age as Galileo, first found out this great fact, learned men -were already quite familiar -with these curves and all their beautiful properties. The Almighty Giver of all Wisdom had granted this knowledge already to men, to prepare them for the time when He would be pleased, by means of their fellow-men, like Galileo, Kepler, and others, to reveal to them a fuller knowledge of the wondrous order of His Works. 100. So now take the pins out of your ellipse, and put the letters S and H to mark the points where they stood. Each of these points is called a focus of the ellipse, for a 136 FIEST LESSONS IN SCIENCE. reason which you will understand if you rememher what I told you in (69). For, as the pencil went round the curve, the two lengths of the string in its different posi- tions were like so many rays of light all going to make an image at the points S and H. Now join these points by a straight line, and produce it both ways to meet the curve in A and a. Put C at the middle point of Aa or SH ; and through C draw BGb, perpendicular to Aa, to meet the curve in B and b; and join SB, SB. Take P any point in the curve ; join SP, MP, and OP, and produce PG to meet the curve again in p. Then is the centre of the ellipse, about which the whole curve is said to be symmetrical, that is, it has the same form on opposite sides of it ; and all lines, such as Aa, Bh, Pp, drawn through G to meet the curve at both ends, are equally divided at G, so that GA and Ga, GB and Cb, GP and Gp, are equal. Such lines are called diameters of the ellipse, and their halves are radii ; but, of course, in an ellipse the diameters and radii are not all equal, as in a circle. The longest diameter is Aa, which is called the major axis ; the shortest diameter, or minor axis, is Bb. 101. Now, when the pencil was at P, the string lay in the direction SPH, so that SP and HP together made up the whole length of the string stretched outside the two pins. So SB and HB will make up the whole of that length of string, and therefore either SB or HB is half of it. Again, when the pencil was at A, SA and HA made up the whole of that length of string ; but SA is equal to Ha ; and, therefore, Ha and HA, or Aa, is the same length ; and, therefore, AG, being the half of Aa, is equal to SB. Once more, the least distance of any point of the ellipse from S will be SA, and the greatest distance will be Sa ; and the mean distance, as it is called, or that which is half- Tofaeepage 136. FIRST LESSONS IN SCIENCE. 137 •way between the greatest and least, is SB, wliich is the same as AC ; that is, the mean distance is half the major axis. It is plain that if the whole length of string, Aa, and, therefore, its half, AG, he kept the same, the ellipse will be more or less eccentric, and differ more or less from a circle, according as SH, or its half SC, is greater or less. Hence we shall know how great or small the eccentricity of the ellipse is, if we know what part or fraction the line SO is of the line AC. The number, which expresses this frac- tion, is called the eccentricity of the ellipse. In the orbits of Mercury and many of the Planetoids, the eccentricity is about ^, that is, SO is one-fifth of AC. In the Earth's orbit it is only one-fiftieth, and in that of Venus only about one- tenth even of this, so that her orbit is very nearly a circle. 102. This then is the real form of the curves in which the Planets and Moons are moving. They are, therefore, sometimes nearer to the Sun, and sometimes farther off than when at their mean distance. But these changes in distance are not very large, owing to the small eccentrici- ties of their orbits, if we take into account their great dis- tances from the Sun. Thus, the Earth's eccentricity being one-fiftieth, SC in her orbit will be one-fiftieth of AG, the mean distance, that is, will be one- fiftieth of 96 millions of miles. Hence SC will be nearly 2 millions of miles ; and SA will be 94 millions, and Sa, 98 millions of miles. Fo that, when the Earth is at A, nearest to the Sun, at her perihelion, as it is called (meaning, about the Sun), she will be nearer the Sun by 4 millions of miles than when she is farthest off at a, at her aphelion (which word means, away from the Sun). Now the Earth reaches her perihelion about the time when she gets to the southern solstice, that is, when it is midsummer in countries south of the Equator, 138 FIRST LESSONS IN SCIENCE. or Equinoctial Line, as it is also called. Hence tlie direct rays of the Sun in summer are hotter South of the Line, than North of it. 103. This great discovery of the orbits in which the Planets move around the Sun, was made, as I have said, by Kepler, and first published to the world by him in 1609. Kepler was a German philosopher, who, though much honoured with the praise and confidence of princes, was left all his life to struggle with poverty, yet patiently and joyfully pursued the work which God had given him to do in this life, of searching into the secrets of nature, and making known to his fellow-men the wondrous truths which he had first been enabled to discover. He was some- what fanciful, indeed, at times, in his notions. For instance, he held, at one time, that the Earth itself was a huge living creature, with passions like those of other creatures, living on its surface. It breathed in volcano blasts ; it trembled or shook itself in earthquakes. " The Earth," he wrote, " is not an animal, like a dog, easily roused or quieted ; but more like a bull or an elephant, slow to become angry, and so much the more furious when enraged." At last, he became closely engaged for many years in considering the motions of the Planet Mars. He found that no scheme which had yet been devised by Astronomers for explaining his move- ments answered to those which really took place. The Planet would not take the position which it ought to have taken, according to calculations made beforehand, in agree- ment with any one of those schemes. He devised other schemes of his own, making calculations with infinite toil to test the truth of each of them. And when one of these scbemes failed him after another, he patiently threw aside his useless papers, and most ingeniously struck out a new one, to spend the same labour over that with the like re- sult. At last — by chance, as it seemed, but as we shall FIRST LESSONS IN SCIENCE. 139 surely say, by the gift of God — his wonderful patience and perseverance were rewarded by tbe discoYery of the actual nature of Mars's orbit, and, through that, of the nature of the orbits of all the Planets. Nor was this all. He found out other most remarkable facts connected with their motions, which have since been shown to be true by cer- tain proofs, as well as tested by millions of observations, and upon which, in fact, all those calculations of the Nautical Almanac, before spoken of, are based. These are now handed down to all ages as Kepler's Three Laws. 104. Before I set down in words these Laws of Kepler, I must explain one or two expressions that will be used in stating them. When we say that one thing varies as another, we mean that it is proportional to another, so that, as in (19), if one be doubled, trebled, halved, &c., then the other will have to be doubled, trebled, halved, &c. Again, the square of a number is the number obtained by multiplying it by itself, or by taking two such numbers and multiplying them together. Thus 4 is the square of 2, 9 of 3, 16 of 4, &c. And the cube of a number is the number found by multiplying three such numbers together. Thus 8 is the cube of 2, 27 of 3, 64 of 4, &c. Now Kepler's Three Laws are these : — I. Every Planet moves about the Sun, describing a curve in one plane, such that the time of going through any arc of the curve is proportional to the area or space bounded by the arc itself, and lines drawn from the Sun to the two ends of the arc. II. The curve, which each Planet describes about the Sun, is an ellipse, with the Sun in one of the two foci. III. The square of the periodic time (that is to say, the time in which it goes round the Sun, and which we have 140 FIEST LESSONS IN SCIENCE. called the Planet's Tear), is proportional to the cube of its mean distance from the Sun. When Kepler had discovered the last of these Three Laws, he broke out into a burst of exulting joy. " It is now eighteen months since I got the firstglimpseof light, three months since the dawn, very few days since the unveiled sun, most admirable to gaze upon, burst out upon me. Nothing holds me : I will indulge my sacred fury. If you forgive me, I rejoice ; if you are angry, I can bear it ; the deed is done, the book is written, to be read now or by pos- terity, I care not which. It may well wait a century for a reader, as God has waited six thousand years for an ob- server." 106. Thus, supposing the Earth, or any other Planet, to move in its orbit from a to P in any time, say a month of 28 days, then, by Kepler's First Law, in the next month it would move on from P to Q, so that the area QSP will be equal to the area PSa ; in the next week, it would move on from Q to iJ, so that the area MSQ is one-fourth of the area QSP or PSa ; in the next day it would move on to T, so that the area TSB is one-seventh of the area BSQ; and so on. But the Second Law says that any Planet, such as the Earth, moves in an ellipse with the Sun in the focus. Hence it will be plain that a Planet will move quicker at its perihelion than at its aphelion, in order that the areas described in the same times may be equal. And so, though the Sun's heat is greater, as was shown in (102), at places south of the Earth's Equator during their summer, because then the Earth is at her perihelion, yet her motion is then more rapid, and, therefore, the heat, though greater at any moment, has not so much time to produce its effect upon the Earth. In other words, the Earth itself is not more heated on this account, though a person's face may be more burnt. South of the Line, than North of it. 3b /ace page 140. FIRST LESSONS IN SCIENCE. 141 Again, Neptune's distance from the Sun is thirty times that of the Earth ; and so the cuhe of his distance is 27,000 times the cube of the Earth's distance. Hence, by the Third Law, the square of his Periodic Time, or Year, ought to be 27,000 times the square of the Earth's Periodic Time, ■which is 1 year; that is (since the square of 1 is 1), the square of the number of years in Neptune's Year ought to be 27,000. Now, Neptune's Year is 60,127 days, or nearly 165 years ; and the square of this number, 165, as you will find by multiplying, is 27,225, which is, of course, a little too large, because 60,127 days do not quite make 165 years. The result is near enough, however, to give you some idea of the truth of Kepler's Law. 106. The discovery by these Laws, which were confirmed after a time beyond all doubt, was a great step in Astro- nomical Science. But something more was needed to com- plete the value of this knowledge, and that was to explain, if possible, the reason of these facts. Kepler had only come upon them, as it were, by chance, by the help of shrewd guesses, and by dint of dogged perseverance. It was reserved, in Grod's good time, for the great English philosopher, Sir Isaac Newton, to bring all the facts under the dominion of one Great Law, which he first announced to the world in 1687, as the Law of Universal Gravitation. This Law I will state to you presently. Let me tell you first the story of the way in which Newton was led to dis. cover it. He was sitting in his garden one day, when an apple fell from a tree upon the ground. He was led to think of the cause which had made it fall, namely, the Earth's attracting force. That force had acted on the apple at the top of the tree, and brought it to the ground. It would have acted upon a cannon-ball fired up into the air, and would have brought that also down. " How high, then," he thought, " must a thing go before that force would 142 FIEST LESSONS IN SCIENCE. cease to be felt ? What was there to prevent its being felt at any height ? Why might it not act even at the distance of the Moon ? Might not the Moon, perhaps, be made to go round in her orbit, by having a motion given to her at first, and then being left to be pulled by the Earth's attrac- tion ? " But the Earth and Planets went round the Sun just as the Moon went round the Earth. Kepler had shown this : though neither he nor any one else had thought of their being drawn towards the Sun. But might it not be so after all ? " What if they too were drawn to the Sun by some attracting force ? " Such thoughts as these passed through the mind of New- ton as he brooded in deep reflection over the fall of the apple. Doubtlessi they came to him by the gift of Him who is the Father of Lights. The time was come when God was pleased to reveal this farther knowledge of His Works to man. 107. Newton went to his house, determined to see what he could make out on these points by reasoning on paper. It took him days and weeks to complete the work. But, at last, by a series of ingenious calculations, he showed that each of Kepler's Three Law s was only a necessary con- sequence of One Great Law. He shewed that Kepler's First Law proved that each Planet, having first had given to it a motion of its own, was attracted to the Sun by some force or other, always drawing the Planet towards the Sun. Again, he showed that Kepler's Second Law proved that this Force must be proportional to what is called the inverse equare of the Planet's distance from the Sun : that is to say, the force, with which the Sun attracts a body at any given distance from it, will be four times as great as it will be at twice the distance, nine times as great as at thrice the distance, sixteen times as great as at four times FIRST LESSONS IN SCIENCE. 143 the distance, and so on, the force being always kss as the distance is greater, in proportion to the square of the dis- tance. Lastly, he showed that Kepler's Third Law proved that the Sun attracted one Planet just in the same way as he attracted the others, the difference in the pulling force which he exerted on them depending only on their distance from him, not on anything in the Planets themselves. The Sun, in fact, was not a partial lord to his troop of fol- lowers. He had no special interest in Mercury or Venus, more than in Uranus or Neptune. If they were all at the same distance from him, they would all be equally attiacted. Finding, then, such reason to believe that the Sun attracted, in this way, with a force varying as the inverse square of the distance, he boldly assumed the Law of Gravitation, namely, that every particle of matter attracts every other particle, with a force varying as the inverse square of the distance. 108. " Now, if this Law be true," he said, " the Earth will attract the Moon with a strong pulling force, made up of the separate pulls at each of its little particles, and varying as the inverse square of the distance." He could not tell the number of particles in the Earth's mass. But he knew what her pull was upon a particle at her own surface, at a distance of 4000 miles from her centre. He could measure this by the speed that pull would produce in any given time, say one second, in a stone let fall from the hand. That speed, he saw, was the same for all stones, large or small, if they were not too small, so as to be blown about by the wind. He found that, during the first second of time, they would fall about 16 feet, but they would then be moving at the rate of 32 feet in a second ; at the end. of two seconds, they would be moving at the rate of 64 feet 144 FIKST LESSONS IN SCIENCE. in a second ; at the end of three seconds, they would be moving at the rate of 96 feet in a second; and so on. In one word, the Earth's pull was adding a speed of 32 feet every second ; and from this he could calculate how far it would be pulled by the Earth's attraction in any given time, say ten seconds, or ten hours, or ten days. But this would be the effect of the Earth's attracting force at the distance of 4000 miles from its centre. Whatwoidd be the effect of it at the distance of the Moon, 240,000 miles off? This distance is 60 times as great as the other ; there- fore, if the Law of Gravitation be true, the Earth's pull at her own surface would be 3600 times as great as at the dis- tance of the Moon ; and the distance, therefore, through which a stone would be drawn at any given time at the Earth's surface, would be 3600 times as great as that through which the Moon would be drawn by the Earth's pull at the same time. Eeasoning thus, with great labour he worked out on paper the motion which the Moon ought to have, and fixed the place where she ought to be found at a certain time. Alas ! the result was, like so many of Kepler's, a complete failure. The place which the Moon really had did not at all agree with the place which he had marked for her beforehand. 109. Newton was beaten back for a time. Still he was confident that his reasonings, with regard to the motions of the Planets about the Sun, could not be wholly wrong ; and he did not abandon his belief in the Law of Gravita- tion, though he could not account for its failure when applied to the Moon's motion. He put away his papers for the present, and kept his secret to himself for some years, waiting for light to be thrown upon the matter. What I have now told you took place in 1666, when he was only twenty-three years old. Thirteen years passed away before he set himself again to consider these ques- FIRST LESSONS IN SCIENCE. 145 tions very closely once more. In 1679 lie worked out more fully upon paper his reasonings for the planetary motions, and was convinced more than ever of their truth, though the difficulty of the Moon's motion remained as before. But how had he come to know the distance of the Moon from the Earth, which was so important an item in his calculations ? He had found this too by reasoning (which I will try to explain to you a little at the close of this book), taking for granted, in order to find it, that he knew for certain the length of the Earth's radius, the distance from her centre to her surface, which was also an item of equal importance in all his reasonings. In that very year, 1679, by the good Providence of God, a French philosopher, Picard, made a new and very careful measurement, in order to determine the Earth's radius. Three years afterwards, Newton heard a report of his doing, and of the result he had arrived at, at a meeting of philosophers in England, in the rooms of the Eoyal Society. The length of the Earth's radius, according to Picard's measurement, differed considerably from that which Newton had all along as- sumed to be true. So he went home to go through all his calculations again, with this new fact before him. Every step he took in his work seemed to make it more certain that all his old difficulties would vanish. At last he got so excited with the prospect of such complete success, which was opening more and more before him, that he could not go on with his work for agitation of mind. He was obliged to call in a friend, and beg him to finish the calculations. The result was all he could desire. The Moon took the very places in her orbit about the Earth which he had marked out for her beforehand. And, from that day to this, the Law of Gravitation is admitted by all philosophers to be the Law of the Solar System, and, most probably, of the whole visible Universe. L 146 FIBST LESSONS IN SCIENCE. 108. Tlie Law of Grravitation is, as I have already said, that every particle of matter attracts every other particle of matter with a force varying as ike inverse square of the distance. And Newton showed that it followed from the above Law, that a mass of matter, in the form of a sphere, attracts any particle, on its surface or outside it, just as if the whole mass were collected in one point at the centre. The Earth, however, is not exactly, a sphere, but bulges out at the Equator, so that a body at the Equator will be farther off from the centre, than at the Poles. Hence the attraction of the Earth may be expected to be less upon a body at the Equator, than upon a body at the Poles. So that, on this account only, namely, the shape, of the Earth, the same body may be expected to weigh somewhat less at the Equator than at the Poles. But the Earth is also revolving about its axis. And on this ac- count a body at the Equator will be like the stone slung round by a string, that is, it will want to go on in the direction, in which it is moving at any moment, and so it will pull as it were, upon the Earth's hand, and, if it does not fly off, it will be because it is pulled back by the Earth. Hence, part of the Earth's attraction on a point in ihe Equator will have to be spent in counteracting this centrifugal tendency, as it is called ; whereas, at the Poles, the whole attraction of the Earth acts in increasing the weight of the body. And so it is found that, if a body could be taken from the Pole to the Equator, it would lose a small part of its weight in consequence of the Earth's shape, and another small part in consequence of the centrifugal tendency at the Equator ; and, in fact, from both causes, a body that weighs 194 pounds at the Poles would weigh only 193 at the Equator. 109. Newton also applied the Law of Gravitation to explain the Tides of the Ocean. Suppose, for the sake of FIKST LESSONS IN SCIENCE. 147 simplicity, tiiat the ocean wraps the whole Earth round, as a thin film of water. Then the Moon will attract the water on the side nearest to it more then the hody of the Earth, which is farther off, and she will attract the body of the Earth more than the water on the farther side of the Earth. Newton showed that the resrtlt of this will he that the water will tend to form itself into a spheroid ; that is, it wiU lose its form as a spherical shell, and bulge out both on the side next the Moon, and on the side opposite to it or farthest off. If the Moon were at rest, and the Earth did not turn upon her axis, this spheroid would be quietly formed, and, once formed, all then would be tranquilly at rest. But there is no time for the spheroid to be fully formed. Before the waters can so arrange themselves, the Earth will turn round, and so the waters on its surface will pass continually under the Moon, and the same will happen also from the Moon*s own motion. The result will be that an immensely broad and very flat wave will follow after the Moon, as it were, the spheroid trying to form itself all along the surface of the ocean as the Moon goes on, though this effect does not tate place rill about three hours after she has past the meridian of a place. It will be a wave, not a current, that will thus travel along. In other words, it will not be the water itself, but a form, which the water wUl take, that will travel along. Just so, when a stone is thrown into a pool of water, you may see circular waves spreading out from the place where it fell, and travelling towards the border of the pool. Or, when you are in a ship at sea, you may see a huge wave coming along, as if it would swallow up the ship and all ; but when it reaches the ship, the ship will just be lifted up upon it, the wave will pass under it, and be seen on the other side, travelling on as before. In such cases it is the appearance, not the water itself, that is L 2 148 FIKST LESSONS IN SCIENCE. moving on. The water, in fact, is just being lifted up and down in its place as the ship is ; but this produces an appearance of a wave going on, 110. Well, then, such a very broad flat wave is caused by the Moon's attraction, and travels on after the Moon ; and, when the higher or lower parts of this wave reach the open coast of a country, it is high or low water there. The Sun by his attraction forms a similar wave. When it is new or full Moon, the Sun and Moon are either on the same or on opposite sides of the Earth ; and, in either case, their efforts will be joined together, and the wave will be increased; and then occur the highest or spring tides. When the Moon is at the end of her first or third quarter, the Sun's tide will be formed at right angles, as it were, to the Moon's, and the two efiects will partly neutralise each other : then we have the lowest or neap tides. It is to be observed that the tides are caused by the difference only of the attractions of the Sun and Moon upon the waters and upon the solid body of the Earth. If, for instance, the Sun pulled the water on the nearest side of the Earth, just as strongly as he pulled the body of the Earth, and pulled the body of the Earth just as strongly as he pulled the water on the other side of the Earth, there would be no disturbance, no spheroid formed, and no tide. It is because he pulls the first more than the second, and the second more than the third, and so tends to pull the first away from the second, and the second away from the third, that the solar tide is formed. And, of course, the same is true of the lunar tide. Now the Sun's attraction, either upon the water or upon the Earth's body, is very much greater than the Moon's. But the Sun is so much farther off than the Moon, that he attracts the water on the nearer side of the Earth very little more than the water on the farther side. The difference between FIRST LESSONS IN SCIENCE. 149 the Sun's attraction upon the water, and upon the Earth's body, is much less than the difference, in the case of the Moon. Hence the tide caused by the Moon is greater than that caused by the Sun. The two tides, in fact, may be represented by the numbers 5 and 2 ; when joined, the spring-tide may be represented by 7, and when counter- acting each other, the neap-tide may be represented by 3. This however, is only true of the tides in the ocean, or on open coasts, where there are no strong currents. Local circumstances, currents, &c., affect the tides very much in particular places. 111. But another fact was shown by Newton to be true in connection with these discoveries. He had now made it certain that the Sun did attract all bodies in its System with a force proportional to the inverse square of the distance. And he showed that, in consequence of this, all these bodies, having had a motion given to them at first, which would have carried them on in straight lines, for ever, if they had not been attracted, will now be compelled to travel in a curved line around the Sun, hut not necessarily in ellipseg. He showed that there were two other kinds of curves, which they might move in, as well as ellipses, by reason of the Sun's attraction ; and that whether they would move in one or other of these three curves, would depend entirely on the velocity or speed, with which they were moving. The Planets, be showed, were moving with such velocities, that they must go in ellipses. But the speed, with which a body was moving, when first acted on by the Sun, might have been too great to allow of its going in an ellipse. It might then move in a parabola, or, if the speed were greater still, it would move in an hyperbola. You will be able to form some idea of the shape of these curves in this way. Take S for the Sun in the focus, and SA the peri- 150 FIRST LESSONS IN SCIENCE. helion distance of a body. Produce SA to E, and draw a line through E perpendicular to EAS. Now draw a curve line through A, such that, if P be any point in it, and PJlf be drawn perpendicular to the line just drawn through E, the distance SP shall be in the same proportion to PM, that SA is to AE. So that, if SA be halfoi AE, then SP must be half of PM ; if SA be equal to AE, then SP must be egwaZ to PM; if S^ be twice AE, then jSP must be twice PM; and so on. The curve so formed will be an ellipse, parabola, or hyperbola, according as SA happens to be taken less than, or eqaal to, or greater than, AE. You will see that the parabola and hyperbola are not, like the ellipse, closed curves. A body, going on in either of these, would go on for ever, without returning to the same point again. 112. Now there are bodies in the Solar System which do move in such curves as these, some in hyperbolas, many more in parabolas, and others of them in very long ellipses, ^so long, that, when they have once passed round the Sun, it may be thousands of years before they will pass round him again. These are the Comets (that is, Hairy Stars), which appear from time to time in the sky, and sometimes are so bright and strange in form, with their long fiery tails, that, like eclipses of the Sun, they are objects of dread to superstitious and ignorant people, who, on seeing them, fancy that some dire calamity is about to happen. Now, however, we know how to explain exactly the movements of these bodies, as we know how to predict the exact time of an eclipse. Some of them, as I have said, move in elliptic orbits of very great eccentricity. They come in, many of them, from distant regions, some from regions far beyond the bounds of Neptune's orbit, aad often come quite olose to the Sun, so as almost to Tofaoepage 150. FIRST LESSONS IN SCIENCE. 151 graze his body, hurrying round him with amazing speed, because they are still bound to obey Kepler's First Law, that of the description of equal areas in equal times. In fact, Newton showed that this Law applies, not only to the Planetary motions, but to orbits of every kind described round any centre of attraction, whether the force varies as the inverse square of the distance, or not. Then they go off again into distant space, to return after a longer or shorter interval, according to thei^ mean distance from the Sun, in obedience to Kepler's Third Law. We can calcu- late their times of return to the Sun, and say when we may look for them, though tens, or hundreds, or even thousands, of years may pass between one perihelion visit of one of these rovers and another. But those which move in parabolic or hyperbolic orbits, will never come back, when once they have passed round the Sun, unless, as they speed along their paths, some one of them should be pulled or struck out of its proper path, by coming near to some other body; and then the direction of its motion might be so changed that it might pass round the Sun again, and, perhaps, ever after go round in an ellipse. This is believed to have happened to one Comet, which came very near the great Planet, Jupiter. 113. We only see the Comets in that part of their orbits which is close to the Sun. And it is not always easy to decide, from observations taken at this part of the orbit, whether a body is moving in a long ellipse, parabola, or hyperbola. Besides they travel very fast, when so near the Sun, and remain in sight only for a few weeks or months at a time — rarely for so long as a year. However, about 200 of these bodies have been noted with sufficient care to enable us to say that 40 of them move in elliptic orbits, 160 in parabolic orbits or ellipses of very great eccentricity, and seven in hyperbolas. Most of these, and 152 riKST LESSONS IN SCIENCE. a multitude of others, can be seen only with telescopes, when they appear as small faint filmy clouds or nehulae. It is believed that there are many thousands of these bodies in the Solar System, and many which do not come near enough to the Sun, at their points of perihelion passage, for us to see them at all. We know of one, in 1729, which came no nearer to the Sun than the orbit of Jupiter. And multitudes may not be seen by us, because, when near the Sun, they may be in that part of the heavens which is above our horizon in the daytime. In such a case, a Comet might become suddenly visible, if there occured an eclipse of the Sun. And this actually happened, as we are told by a Eoman writer, Seneca, sixty-two years before the birth of Christ (B.C. 62), when a large Comet was seen near the Sun in an eclipse. We can imagine what an appalling effect this darkening of the Sun, and glaring forth, at the same time, of the Comet, like a flaming sword, must have had upon ignorant people in those days. ' 114. The motions of the Comets are not, like those of the Planets, confined to the Zodiac. They come rushing in towards the Sun, like messengers from distant parts of his dominions, from all parts of the heavens. North and South, West and East — some going forward, that is, from East to West, as the Planets move, others going hachward, from East to West, with what is called a retrograde motion. Yet they obey still the Laws of Kepler, or that, which includes those Laws, the Law of Gravitation. So that not only the Planets, those Wan- derers, as the ancients called them, but the Comets also, these fiery meteors, which were once thought to rove in perfectly lawless disorder through the heavens, are proved to be under Law, as every thing else is in the Universe of God. Superstitious terror must now give place to FIRST LESSONS IN SCIENCE. 153 devout admiration of the Order, which, reigns supreme under his Government, and to a child-like trust, that even other things, which we cannot yet explain and see with our eyes to he governed hy Law — which may seem to us at present irregular and disorderly — are yet held in control hy our Father's Mighty Hand, and are working out the good pleasure of His Will. 115. Some of these Comets, which are seen by the naked eye, are, certainly, portentous objects, having long tails of light, with which they seem to sweep the skies. But these tails, and the very bodies of such Comets, are seen, upon closer observation, to be nebulous or cloud like, as if they were composed of masses of thin vapour — so thin, indeed, that not bright Stars only, but very faint ones, too faint to be seen at all by the naked eye, can be seen with a telescope through the thickest parts of them, without being the least dimmed. And yet the same Stars would have been quite hidden from sight by a common fog. Great fears have been felt, at times, lest a Comet, in its headlong wild career, should some day dash against the Earth, and shatter it to pieces, or else, at all events, approach so near to it, as to raise 'the waters of the seas on its surface by its attraction, and so produce an over- whelming deluge. All that can be said is, that, as far as we can judge, should such an event ever happen, "it would be a very bad thing for the Comet." As for the Earth, there is little cause to fear from her coming near to such a mass of thinnest possible vapour. All the Comets in the Solar System have not yet sensibly disturbed in the slightest degree the motion of any one of the Planets, however often they must have crossed their paths, and however near they may have come to them. 116. " But, indeed," says Sir John Herschel, " the largest Comets can only be regarded as great masses of thin 154 FIRST LESSONS IN SCIENCE. vapour, penetrated through and through with sunbeams, and reflecting the Sun's light from all their particles, as a cloud, which floats in the highest regions of the air, and seems at sunset to be drenched with light, glowing through its whole depth, as if actually on fire. Nay, the most light and airy of such clouds must be looked upon as dense and massive bodies, compared with the filmy and all but spiritual texture of a Comet." It is true, the hulJe of a Comet may be enormous. The body of the Comet of 1811 was 540,000 miles in diameter, more than half that of the Sun, to say nothing of its tail. But Newton has shown that a globe of common air one inch in diameter, if raised 4000 miles above the Earth, would expand of itself to fill up a sphere exceeding in diameter that of Saturn's orbit. " Hence," says Sir John Herschel, " the whole body and tail of a great Comet may consist of only a few pounds or even ounces of matter," expanded to an immense bulk, and each particle reflecting the rays of the Sun. What else, in fact, can be expected, when a Comet approaches so near to the Sun, that his heat is felt, like the heat of 70,000 tropical Suns ? Sir John Herschel says that this is twenty-five times as hot as the heat of a very powerful lens, which melted rock-crystal. When such a Comet first appears, it looks like a little spot of faint nebulous light on the dark ground of the sky. As it draws nearer to the Sun, day by day, it becomes more bright, and the tail begins to show itself, always in a direction opposite to that in which the Sun is situated, behind the Comet, as it were, but not generally lying exactly in the path along which the Comet has come. Brighter it shines and brighter, sometimes bright enough to be seen in broad daylight, and the tail becomes longer and longer, till the Comet often gets so close to the Sun, as to be lost in his beams. After a time it appears FIRST LESSONS IN SCIENCE, 155 again on the other side of the Stin, having passed the perihelion. And then it is, after passing the Sun, that a Comet generally shines forth in its greatest splendour. Its tail, which will either have vanished altogether for a time, or else will have twisted around with amazing rapidity, through two right angles, in perhaps two days, so as always to point away from the Sun, will now ac- quire its greatest length and brilliancy, showing that the Sun's heat is really the cause of this strange appendage. The Comet will now begin to move more slowly, and appear more faint, the tail dying away by degrees, or being gathered up, as it were, into the head, which, though feebler, yet, strange to say, will get larger, as the tail gets shorter, this latter being still turned away from the Sun, and, therefore, now being in front of the Comet. At last, from mere faintness of light, the body of the Comet is no longer visible with the strongest telescope, even while its magnitude is still increasing, as appears from observation and calculation, though to the eye it looks smaller with its increasing distance. The tail is often long and straight, sometimes bent into the form of a curve, sometimes parted into two branches. Some have been seen with two tails or more, one with six, spread out like an immense fan. The tail of the Comet of 1843, whose centre was only 97,000 miles from the surface of the Sun at its perihelion passage, was of enormous length, nearly 200 millions of miles longer than the whole diameter of the Earth's orbit. And this tail was thrown out from the Comet in the astonishingly short time of twenty daj's. The tail of the great Comet, which Newton observed in 1680, was thrown out to a length of 60 millions of miles in two daje. 117. I have said, just now, thrown out, because there is little doubt that the tail of a Comet is a thin hollow coni- cal shell of matter, which has been turned into vapour by 156 FIEST LESSONS IN SCIENCE. the Comet approaching so near to the Sun, and is first thrown out towards the Sun from the hody of the Comet, and then driven hack violently by some unknown force of extraordinary power, and so forms the tail. When Halley's Comet appeared in 1835, the tail began to be formed on Oct. 2, by nebulous matter being thrown out violently, in front of the Comet, from its body or nucleus, which had hitherto been faint and small, but suddenly became much brighter. This matter was thrown out, not all at once, nor in one continued stream, but in jets, which came out on the side towards the Sun, but were then turned back, as smoke would be by a current of air. After the first day the matter ceased to be poured forth for several days •, but on Oct. 8 the jets began again more violently than before. In this way, then, the tail of a Comet is made. Being in the form of a conical shell, it looks, of course, brighter and thicker at the edges than in the middle. The increase of size in the body of a Comet, after leaving the Sun, is ex- plained thus : As it draws near to the Sun, the vapour already composing this shell, and other portions of its matter, are changed by intense heat into a pure, trans- parent, and, therefore, invisible gaseous substance. Hence it came to pass that Halley's Comet, at its perihelion, was seen without any tail. But, after passing round the Sun, this rarefied matter, becoming in some measure cooled, appears again condensed in the form of a cloud, and so in- creases the visible bulk of the Comet. When lost sight of, Halley's Comet looked just as it did when it first made its appearance, having the form of a small round nebulous spot, with a bright point inside it. Though it looked so small to the eye, yet that arose from its great distance. It was really, at that time, a globe of vast size ; and in one week only, shortly after it had passed the perihelion, it had increased so as to become forty times as large as before. FIRST LESSONS IN SCIENCE. 157 Many, however, of the brightest Comets have had very short and feeble tails, and a few great Comets have had none at all. 118. There are some famous Comets, which have been seen again and again in times gone by, and have been taken note of by the writers of those days. One of the most remarkable of these is Halley's Comet, above men- tioned (one of the retrograding Comets), so called from the philosopher of that name, who observed it in 1682, when it appeared in great splendour. Seeing good reason to be- lieve that it was the same which had appeared also in 1531 and 1607, so that it seemed to have a period of about 75 or 76 years, he predicted that it would appear again in 1759. As the time drew near, astronomers were keenly on the watch for it. Clairaut, a great French philosopher, went through a long series of most complicated calcula- tions, based upon the truth of Kepler's and Newton's Laws, to see how much it would be disturbed on its way by the attractions of the larger Planets. He found that Saturn would retard its return by 100 days, and Jupiter by 518 days. And, taking due account of these, he announced that the Comet would pass its perihelion within a month before or after the middle of April 1759. It actually did so on March 12 of that year. The next return of this Comet was fixed by two astronomers for the year 1835, one naming Nov. 11, the other Nov. 26, for its perihelion passage. They had now taken into account the exist- ence of the Planet Uranus, which had been discovered in the interval, but not, of course, that of Neptune, which was not yet known. The Comet actually passed its perihelion on Nov. 16 in that year. This shows how accurate are the reasonings of astronomical science, and how sure is the action of the Law of Gravitation, even when applied to these bodies, which are liable to 158 FIRST LESSONS IN SCIENCE. meet with, so much disturbance in their extravagant courses. 119. Encke's Cotaet goes round the Sun in about 3^ years, and it is remarkable for its period being a little shortened every time it goes round. This shows, accord- ing to Kepler's Third Law, that its distance from the Sun is getting smaller by degrees — by very slow degrees, in- deed, but yet so that it seems likely that the Comet will at last fall into the Sun. It is thought that there must be some very rare matter, filling the regions through which, it travels, and by a slight resistance to its motion pro- ducing this effect. And, in fact, there is a remarkable appearance, called the Zodiacal lAglit, which may, perhaps, explain this. This light may be seen on any clear evening, soon aft^r sunset in spring, and just before sunrise in autumn; but it is seen best in tropical countries. It resembles a cone of light, reaching from the horizon upward in the direction of the Ecliptic. Sir John Herschel believed it to be a conical envelope of the Sun, reaching beyond the orbit of Mercury and Venus, even to the Earth's orbit, and that it may be the very matter which retards the motions of the Comets. Biela's Comet has a period of 6f years, and, on its appearance in 1846, astonished astronomers by suddenly parting into two Comets, which travelled on, side by side, at about a distance of 160,000 miles from each other. At first, the old Comet got fainter, and the new one got brighter, till it looked sharp and clear as a diamond-spark. Then the new one faded, and the old one recovered its brightness, till it sparkled also as the other. At last the new one disappeared, and the old one after it. All the while, there was a thin bright line passiag from one to the other, seeming to proceed from that which was brightest at the time. After the new one had disappeared, the old FIRST LESSONS IN SCIENCE. 159 Comet threw out ttree faint tails, one of wliich pointed to the place where its companion had been. There are other Comets, with periods of from 5 to 8 years ; and several which describe long ellipses, in periods of from 60 to 80 years. That of 1811, which was visible for months, shining like one of the brightest stars, and with a beautiful fanshaped tail, will not be seen again for 3000 years. One appeared in 1844, which at its aphelion distance must have been 142 times as far off from the Sun as the Planet Neptune. This is the longest elliptic orbit that we know of at present in the Solar System. The Periodic Time of this Comet is about 100,000 years. And yet even this hody only travels a fiftieth part of the distance between our Sun and the nearest of the fixed Stars. Once more we are thus made to see, and, perhaps, begin to feel in some measure, how separate, and alone by itself, our little System stands in its awful vacancy. But how comforting it is to know that we may rest secure, under the shadow of the Mighty Hand. 120. On turning a telescope to the sky at night, a mighty host of Stars will come into view which were too faint to be seen at all by the naked eye, but are now made visible by the larger pencils of rays which the object glass catches, and bends in, so as to form images in the focus of the tube. These images, as you have been told, are formed too near the eye to be seen distinctly. But the eye-glass takes the pencils of rays which come from them, and bends them sb that they may enter the eye in a state fitted to produce clear vision ; and thus the object is not only seen more bright, but seems to be brought nearer to the eye, and magnified. When seen through a telescope, each Planet has a round disk ; and, indeed, with a powerful telescope, Jupiter may be made to look as large as the Moon does to the naked eye. But no telescope has ever yet been mad* 160 FIEST LESSONS IN SCIENCE. of sufficient power to show any one of the Fixed Stars, even the nearest of them, with a sensible disk. They appear, when seen by the telescope, as fine bright points of light. Indeed, they look smaller, and look more truly as points, when seen by the telescope, than they do when seen by the naked eye. For, when we look at a Star with the naked eye, the eye is affected in some way, so that there is a certain appearance, which is often represented on paper by rays, spreading from the Star on all sides. This is cut off by a good telescope, and we see only a bright point like a diamond-spark. And when the Moon passes before such a Star, she occults it in a moment ; the lustre of the Star is instantly extinguished, which would not be the case if it had any sensible disk. This is the first inti- mation we get of their vast distance from us, namely, the fact that the most powerful telescopes do not seem to bring them any nearer to our eyes, so as to exhibit a sensible disk. The Stars often seem to twinkle, but this arises from the state of the air. In the clearer skies of the tropical regions, they may often be seen without any sign of twinkling. 121. The Stars, which can be seen by the naked eye, in the whole heavens, do not exceed about 6000. They are divided into six Classes, according to their brightness. There are reckoned to be about 22 Stars of the First Class, 50 or 60 of the Second, 200 of the Third, &c. It is certain that the brightest Stars are not always the nearest. For instance, Sirius, the brightest of the Stars, is known to be, for reasons which I will explain presently, four times as far off as the nearest Fixed Star. Still it is taken for granted that the fainter Stars are, generally speaking, more distant than the brighter. The light of a Star of the Sixth Class is about one-hundredth of that of one of the First Class. But it would take 300 or 400 Stars of FIRST LESSONS IN SCIENCE. 161 the Sixth Class to make up the light of Sirius. These 6000 Stars, which are seen by the naked eye, have been formed, as yon have been told, into groups or constellations, from some fanciful resemblance to certain figures. And the Stars of each group being numbered, or marked by letters, can be easily referred to. But the telescopic Stars are in countless numbers. They are divided into ten Classes, from the seventh to the six- teenth. Of the seventh Class more than 10,000 have been registered. But it has been computed that 20 millions of Stars can be seen by a large telescope. Sir W. Herschel once counted 60,000, which passed before him during one single hour's observation of a very small strip of the sky. But they are not by any means spread equally in all direc- tions over the face of the sky. In some parts of the sky they lie very thickly crowded together ; in others only a few will be met with if the telescope is turned to them ; in others, none at all. 122. There is one great zone or belt of the sky, which runs all round the heavens, almost in a circle, in which Stars are so thickly crowded that the whole looks to the naked eye, like a trail of milky whiteness drawn across the nightly sky. This is the Galaxy or Milky Way (from the Greek word gala, milk), which was first seen by Galileo to consist of nothing but Stars. It forms, as I have said, a sort of belt all round the sky, but is parted at one point into two branches, which remain separate for a long dis- tance, and then reunite ; and, besides, it sends off, here and there, other minor branches. Now, what is this Galaxy of Stars, which plainly has some special relation to our Sun, since we find ourselves thus in the middle, as it were, of this belt. Besides which, there is something more to be noticed as to the way in which the Stars generally are spread about the sky. You M 162 FIRST LESSONS IN SCIENCE. may remember Galileo's words : " God has just shaken them out of His Hand, as it were, as if by chance. And we, poor simple creatures, must be thinking that He has scattered them up yonder without order or beauty ! " Galileo was right. They seem to be strewed about, " as it were, by chance." But, on looking more carefully, it appears that after all there is an order in their arrange- ment. If a circle be drawn round the sky, through the middle of the Milky Way, as nearly as it can be done, it is found that, as we go Northward or Southward from this circle (which is called the Galactic Circle), the Stars get more and more scarce as we get farther off. But they are somewhat more numerous on the Southern side of the Galactic Circle than the Northern. Thus, suppose we make six belts of the sky, of equal breadth, 15° on each side of the Galactic Circle, then the average number of Stars, which will be seen in a small circular space of a certain size, will be as follows, within the first, second, third, &c., of these belts : — Belt. Northern. Southern. 1 53 59 2 24 26 3 11 14 4 8 9 5 5 7 6 4 6 123. Now, all the above appearances are explained by supposing the Sun to be in the middle of a cluster of Stars, in the form of a flat bed, of immeasurable breadth on all sides, but not in comparison of great depth or thickness. So, when we look along the breadth of the cluster in any direction, we see Stars innumerable, crowded, as it seems, faint and bright ones together, but these fainter ones being in reality in general the more distant ones, which are seen FIRST LESSONS IN SCIENCE. 163 * in the open spaces between the nearer and brighter ones. In other words, if we look along the breadth of the cluster in any direction, we see the Milky Way. If, however, we look in a slanting direction, on either side, we see fewer Stars, and fewer and fewer as we look more away from the direction of the breadth ; till at last, if we look on either side in the direction of the depth, we look very soon, as it were, out of the cluster into the dark abyss of space, and see very few Stars. Yet in these dark openings between the Stars in the Galaxy, may be seen, far away in the dis- tance, faint cloudy spots or nebulse, which may be each of them clusters of millions of Stars, like the Galaxy itself. It is difScult to conjecture the exact form of our cluster as it would appear when seen from a distance — if looked at, for instance, with a telescope from one of those far-off nebulse ; since we are thus placed inside it, and looking out upon it from all parts of the Earth. 124. You will, perhaps, understand the above more clearly if you imagine yourself standing in the midst of a wood of tall trees, not choked up with undergrowth, but so growing that you can see clearly between the trunks of the trees. If you suppose the wood to be somewhat cir- cular, then you will have an idea of our position when we look at the Stars of the Milky Way, for you will see the trees crowded around pretty equally on all sides, but it will be difficult to judge what the exact form of the wood is on the outside. If, again, you suppose the wood to have a much greater length than breadth, you will see that the trees seem thicker together when you look along the length, but much thinner when you look along the breadth. And, in this case also, it will be difficult to judge of the exact form of the wood as it will be seen by one outside of it. One thing is clear, that the cluster is not exactly of the same breadth everywhere, for then we should see the M 2 164 FIEST LESSONS IN SCIENCE. Galaxy having nearly the same brigjitness all round. In some parts of it this is the case for immense tracts. But in other parts, rich patches are closely clustered, separated by spaces which are thinly occupied, and are sometimes, indeed, quite dark, void even of the smallest telescopic Star. When we look at these dark places, we are looking through the starry bed which surrounds us into the vast abyss of space. But, whatever may be the exact shape of the cluster, it must be, generally, a mass of Stars, of far greater length and breadth than thickness ; and its thick- ness lies in the North and South direction. 125. The Sun is placed in the middle of this bed, but a little nearer to the Northern surface of it than the Southern ; and on this account we see the Stars in the Milky Way more crowded when we look at the Southern portion of it. [n other words, the Milky Way will appear brighter when we gaze at it in the Southern Hemisphere, than in the Northern. The place of its nearest approach to the South Pole is near the Southern Cross, which constellation it enters by a very bright and narrow neck, and immediately spreads itself out into a broad, bright mass. In the midst of this bright mass, surrounded by it on all sides, occurs a singular pear-shaped cavity, called from its shape the coal- sack. In this large space only one very small Star can be seen by the naked eye. It contains, however, many tele- scopic Stars, so that its striking blackness must arise from the contrast with the brightness all around it. This, then, is the cluster of Stars to which our Sun be- longs. These millions of bright bodies are aU his brethren, glorious Sun as he is, having, very probably. Planets re- volving about them as he has, but so* small that they are not seen at that distance, just as our own Sun's troop of Planets will be invisible to them, and he only be seen as the representative of the whole Solar System. Tofacepage 165. FIRST LESSONS IN SCIENCE. 165 Sir W. Herschel thouglit that the thickness of this bed of Stars was about 80 times the distance from us of the nearest Fixed Stars. Its extreme length he estimated at 250 times the breadth. In that case the light of one of the most dis- tant Stars of the Sun's own family would take 6500 years in coming to us, moving at the rate of 200,000 miles be- tween two ticks of a clock. 126. But how do we feel so certain of the immense dis- tance of the Fixed Stars from us ? If you were walking along a straight path BC, through the wood we were just now speaking of, and fixed your eye upon a tree A, some little way off on one side of the road, you would see it constantly changing its place with respect to the other trees behind it. Thus, at B, you would see it in the direc- tion BA produced, in a line (suppose) with the more dis- tant tree T. Whereas, when you get to G, you would see it in the direction CA produced, to all appearance having gone backward, and now in a line (suppose) with the tree K. Now, the two lines BA, CA, contain an angle between them, the angle BAG, which angle is called the parallax, or change-of-place angle, for the point A, in consequence of the spectator changing his place from B to G. It is plainly the angle, which the line BG subtends at the dis- tant point A. The farther off the point A is, the smaller will be the angle BAG. And, if it be very distant indeed, compared with the length of the line BG, the lines BA, GA, will meet at a very small angle indeed, and seem to be almost parallel. 127. Now the size of this angle BAG, may he easily known without going to the point A to observe it. (1) Note that, if any line AB meets another line CD in the point B, the two angles, ABC, ABB, are either two right angles, or are together equal to two right angles. For if ABC be equal to ABD, each of them is a right 166 FIEST LESSONS IN SCIENCE. angle, and the two together are two right angles. But, if ABGhe less than ABD, draw BE at right angles to CD. Then the two angles, ABC, ABD, are made up of the three angles, ABC, ABE, EBD, which make up the two angles EBG, EBD, and these are two right angles; that is, ABC, ABD, are together equal to two right angles. (2) Note that, if ABC he a triangle, and BC he pro- duced to D, the angle AGD is equal to the two angles ABC, BAC; and the three angles of the triangle, ABC, BAC, ACB, are together equal to two right angles. For draw GE parallel to AB. Then, since BA and CE are parallel, or run in the same direction, the line AC, which crosses them, must make equal angles with each of them ; that is, the angle BAC is equal to the angle ACE. [In fact, if BA be produced to F, and CA to G, the angle BAC is equal to the angle GAF or AGE.^ Again, because AB is parallel to GE, the line BD, which crosses them, must make equal angles with each of them ; that is, the angle ABC is equal to the angle EGD. Hence the angle AGD, being made up of the two angles ACE, EGD, is equal the two angles BAG, ABC. And the three angles of the triangle, BAC, ABC, ACB, are together equal to AGD, AGB, that is — hj what has just before been shown in (2) — they are together equal to two right angles. 128. So then, returning to the tree A in (126), when the spectator is at B, let him observe the angle ABC, which can be easily done with a proper instrument ; and, when he gets to C, let him observe the angle AGB. Then, if he subtracts the number of degrees in these two angles from two right angles, or 180°, the remainder will be the number of degrees in the angle BAC. Or, if instead of observing at G the angle AGB, he observes the angle AGH, which AG makes with BC produced, then, since the angle AGH is equal to the two angles ABC, BAG, it appears To face page 166. FIRST LESSONS IN SCIENCE. 167 that, by subtracting tlie number of degrees in ABG from the number of degrees in AGH, he will obtain, as the re- mainder, the number of degrees in BAO. 129. Now, when A is a, Fixed Star, and BO is the longest possible line we can find, so as to be able to look at the Star from the two ends of it, the two lines BA, CA, are found to be absolutely parallel. There are a few exceptions to this, as I will show you presently. But, speaking generally, such is the case. The two angles ABC, BCA, are found to be exactly equal to 180° ; or, in other words, the angle AOH is found to be exactly equal to the angle ABC. There is no diiference between them, so far as the most powerful instruments can detect. Of course, there must be a diiference ; since, however far oif ' the Star A may be, the lines, BA, GA, as they meet at last, cannot be actually parallel. But the difference is so minute that the human eye, aided by the most delicate instru- ments, cannot perceive it, except, as I have said, in the case of some nine or ten of the Fixed Stars. It appears to us as if the lines drawn to the Star from the two ends of the line BG were absolutely parallel. And this is the case, not only when we stand at the two ends of one of the Earth's diameters, so that the length of BG is 8000 miles, but even when we stand at the two ends of one of the dia- meters of the Earth's vast orbit, so that the length of BG is nearly 200 million of miles. The lines of direction in which a Star is seen from the Earth at all seasons of the year, in Spring and Autumn, Summer and Winter, are to all appearance identically the same. The Stars seem to rise and set always in the very same points of the sky, and to keep the same positions with respect to one another, when observed at all points of the earth's orbit. In other words, the Fixed Stars, with very few exceptions, have no sensible parallax. The angle, which the diameter of the 168 FIEST LESSONS IN SCIENCE. Earth's orbit (-BC in our figure) subtends at a Fixed Star (^A) is so small, that it cannot be detected at all, and may be reckoned as notbing. 130. Now, let us see wbat this fact implies. Take A the centre of a circle of large radius, and let BD be that arc of the circle, whose length is equal to the radiiis, and which contains, therefore, 57° 17' 4.5", or 206,265 seconds. Take BG, a very minute arc of the circle, and draw the radii AB, AG, AD. Now it is plain that when AB is very great, and the angle BAG very small, the straight line BG will differ very little, when compared with the great length of AB, from the curved line, or circular arc, BG. Por instance, if AB represent 200 millions of miles, the arc BG may be greater than the straight line BG by a few hundred miles. But that is as nothing compared with 200 millions. So we may take the straight line BG to represent the arc BG for our present purposes. Now we know by (19) that, in the same circle, angles at the centre are proportional to the arcs which subtend them. Hence, if the angle BAD be ten thousand times the angle BAG, so will the arc BD, that is, the radius AB (which is equal to the arc BD), be ten thousand times the arc BG, or the straight line BG. Suppose now the angle BAG to be 1" ; then since the angle BAD is 206,265", and is, therefore, 206,265 times the angle BAG, it follows that the arc BD, or the line AB, is 206,266 times the line BG. If the angle BAG be one- tenth of 1", the line AB will be ten times the above ; if the angle BAG be 10", the line AB will be one-tenth of the above. So, if the angle BAG he J", ^", &c., AB will be twice, thrice, &c., the above ; or if the angle BAG be 2", 3", &c., AB will be one-half, one-third, &c., of the above. 131. Hence, if BG represents the diameter of the Earth's orbit, about 200 millions of miles, and the angle BAG he Tofasefagem- FIRST LESSONS IN SCIENCE. 169 tke parallax of a Fixed Star, when seen from the two ends of the diameter, should the Star's parallax, that is, the angle which the diameter of the Earth's orbit subtends at the Star, be as much as 1", still the distance of the Star from the Earth, AB, would be 206,265 times £G, that is, more than 200,000 times 200 millions of miles, or 40 billions of miles. Or should this angle of parallax be doubled — in other words, should the angle which the radius of the Earth's orbit subtends at the Fixed Star be 1" — still the distance of the Star would be 20 billions of miles ; and light travelling at the rate of 200,000 miles a second, would take 3 J years to traverse that distance. Now the Star called Alpha Centauri is found to have such a parallax as this, the radiiis of the Earth's orbit subtending nearly an angle of 1" at that Star. Hence this Star is about 20 billions of miles distant from the Earth. It appears also from this, that, if the Earth's whole orbit were filled with the body of our Sun, so that his diameter, instead of being 880,000 miles, or nearly a million of miles, were in- creased to nearly 200 millions of miles, this vast diameter would still subtend only 2" at this Star. To the naked eye, at that Star, the Sun would appear as a bright point only, as a distant Star, though with a powerful and delicate instrument he might be seen to have a very minute disk. 132. Eight other Stars have been found, which have a parallax less than that of this Star. The radius of the Earth subtends at Sirius an angle of ^" ; he is therefore, though so very much brighter, four times as far off as Alpha Centauri, and light takes 13 years to come from him. From Arcturus light comes in 26 years, from the Polestar in ,48 years. None of the other Fixed Stars have been found as yet to have any parallax. And yet our in- struments are so fine that an angle of a thousandth part of 1" might be detected. 170 FIEST LESSONS IN SCIENCE. I have said that no instrument can detect a disk with any one of the Fixed Stars. This wonld seem to imply that Alpha Centauri is less in size than our Sun, because the Sun, as we have just seen, would have a minute disk, when observed from that Star. For the same reason our Sun may even be larger than Sirius. . But at the distance of the Fixed Stars, generally, our Sun's diameter would subtend too small an angle to be detected, as their diameters do when seen by our eyes. Hence we can make no comparison of size. We can only say that they must shine, as glorious suns, with intense light of their own, to be seen at all at such immense distances. 133. But, by means of their parallax, we can find, without ^difficulty, the distances of the Sun, Moon, and Planets from the Earth, and by means of their distances, we can find also their diameters. First, in order to this, we must know the diameter of the Earth itself. This is found by measuring with the most careful accuracy the length of one degree on its surface, making all due allowance for the irregularities of hill and dale. But a rougher calculation will answer our present purpose. It is enough if I can show you how we may get some distinct idea of the size of the Earth's great body. We may assume, for reasons which you have been told already, and specially from the form of the Earth's shadow thrown upon the Moon in an eclipse, that the Earth is in shape a globe, as the Sun and Moon and Planets are seen to be. Draw a circle to represent the Earth ; and at a point A in it, suppose a white rod AG, to be fixed in the middle of still water, in a vertical position, so as to be in the same line as AB, the Earth's diameter, and to project eight inches above the surface of the water. - Then, if a person goes a mile off to D, and places his eye at the surface of the TofOAXpage 1?1. FIEST LESSONS IN SCIENCE. 171 water, looking through a telescope, he will just see the top of the rod, and no more. The whole eight inches will be hidden from his sight by the Earth's curved form. And, as he is looking along the surface of the water, he will look in the direction of a line touching the circle at D ; that is, the direction of the line CD, in which he sees the top of the rod, will just graze or touch the circle at D. Now it can be shown, from a property of the circle, that the line GB contains CD just as often as CD contains CA. But, since CA is so very small, only eight inches, CD is very nearly the same as AD, that is, CD is one mile, or 636,360 inches, so that CD contains CA nearly 8000 times. And, therefore, OB or AB (since CA is only 8 inches,) contains CD 8000 times; in other words, AB is about 8000 miles. 134. Now then, by means of observations made at opposite ends of the Earth's diameter, as in (128), it is found that the Earth's diameter (BC) subtends at (A) the centre of the Sun, an angle (BAG) of 17", that is, the parallax of the Sun's centre, as seen from opposite points of the Earth's surface, is 17". Hence, by (130), the distance of the Sun from the Earth is one-seventeenth of 206,265 times 8000 miles, or one-seventeenth of 1,650,120,000 miles, that is, it is about 96 millions of miles.* Also, the Earth's diameter is found to subtend at the Moon's centre an angle of 1° 54' 4", or 6844". Hence the distance of the Moon from the Earth is obtained by dividing 1,650,120,000 miles by 6844, that is, it is about 240,000 miles. 135. Again, the diameter of the Sun's disk subtends to our eyes at the Earth an angle of 31' 30", or 1890"- Take * This distance must now be somewhat reduced ; but the question, in spite of the observations made at the transits of Venus, is by no means settled, the approximation now made ranging between 92,000,000 and 93,000,000. 172 FIRST LESSONS IN SCIENCE. this now, as the size of the angle BAG in our figure in (128). If it had been only 1", we should have obtained BG, the" Sun's actual diameter, by dividing AB (the Sun's distance, or 96 millions of miles), by 206,265, that is, we should have found BG to be about 465 miles. But, since the angle BAG iB 1890", hence BOis 1890 times 465 miles, or about 880,000 miles. Lastly, the diameter of the Moon's disk subtends to our eyes* an angle of 31' 15", or 1875". If this were only 1", BG would be obtained by dividing 240,000 miles (the value of AB, the Moon's distance from the Earth), by 206,265, that is, BG would be about 1-16 mile. Hence, since the angle BAG is 1875", the Moon's diameter will be 1875' times 1-16 mile, or about 2175 miles. In like manner, may be found the distances and dia- meters of the different Planets. And, knowing their distances from the Earth, those who understand such matters can easily calculate their distances from the Sun. 136. Having found the diameters, we now know the size of the Sun, Moon, and Planets. But of what kind of matter are they composed ? Are they heavy or light in proportion to their size? The Sun, for instance, we now know to be a globe of enormous bulk. But is he only a huge globe of light vapoury matter like a Comet, weigh- ing half-a-pound or so, or is he made of heavy matter as the Earth itself? * This is a very important question; and' we are able to give an answer to it. We are able to de- termine the mass of each body, compared with the Earth's mass, that is, we are able to calculate the quantity of heavy matter which each contains, attracting other matter and producing weight, as the matter of the Earth does, though we cannot say whether such matter is solid or fluid. It is not easy to explain how this is done. It will be enough for you to know that the Earth, for its size, is riEST LESSONS IN SCIENCE. 173 rather lighter than Mercury, rather heavier than Venus, or Mars, or the Moon, nearly four times as heavy as Jupiter, or Uranus, or the great Sun himself, and eight times as heavy as Saturn or Neptune. 137. You will remember that the Earth's form is not exactly spherical, but spheroidal (spherelike), flattened at the poles, and bulging out in the parts about the Equator. Now, since the force with which any particle attracts, is proportional to the inverse square of the distance from the attracted particle, and the whole mass of the Sun (or Moon) attracts as if it were collected in the centre of the Sun (or Moon), it is plain that its pull upon the protuber- ant part of the earth nearest to it, will be greater than upon that farthest off. If you draw a figure as in (31), representing the Earth in its position of June 21, with its axis bent towards the Sun on the North side of the Ecliptic, you will see that the pull of the Sun upon the bulging part, which lies below the Ecliptic, must be greater than on the bulging part, which lies above the Ecliptic. The result of this is found by experience to be, what philosophers can show beforehand it must be, namely, that the Earth's axis would be moved a little out of the fixed position, parallel to itself, which we have supposed it to keep all along, as the Earth goes round the Sun. And a similar slight disturbance of its position will take place at all parts of the Earth's orbit. In point of fact, the Earth's axis describes, in the opposite direction to that in which the Earth revolves, a small conical sur- face, just as the spUl of a tee-to-tum will do, when not upright, so that its end, produced upwards to the sky, will describe a very small circle in the heavens. This motion indeed, is so extremely small that it takes 25,868 years to go once round in this circle. Hence, for all ordinary purposes, we may suppose the Earth's axis to remain 174 FIRST LESSONS IN SCIENCE. parallel to itself, as before, while the Earth goes round the Sun, once, twice, or even a hundred times. But, in the course of a long time, and when delicate calculations are to be made, it is important to notice this fact, and the more so as the axis goes on moving always in the same direction, however slowly, and therefore, the effects pro- duced are continually accumulating. 138. Now the most obvious result of this motion of the axis is that the Stars, when looked at, after long intervals of time will seem to have moved. For the point, where the Northern end of the Earth's axis meets the heavens, is that which we regard as the North Pole; and, if the place of that point is changed, of course, the Stars, though really fixed in their places, will seem to have moved. Thns the Polestar, which is now so near the place of the North Pole, that it serves almost to mark it, was eight times as far off, that is, it was distant from the Pole 12°, when the first catalogue of Stars was made by Hipparohus. It will still get a little nearer, and then go off slowly, and, after 12,000 years, the Star Alpha Lyra3, the brightest in the Northern Hemisphere, will be nearest to the Pole. The Star Alpha Draconis was the Polestar 4000 years ago, when, it is supposed, the great pyramids of Egypt were built at Gizeh. And it is a curious fact, noted by Sir John Hersohel, that, of the nine pyramids at (jcizeh, six (including all the largest), have the narrow passages, by which alone they can be entered, and which open out on the northern face of the pyramid, inclined downwards to the horizon at such an angle, as to allow the then Polestar to have been seen at the bottom of every one of these pas- sages, as it passed the meridian. 139. But there is another remarkable effect of this mo- tion of the Earth's axis. It will cause the Equinoxes, the points of the earth's orbit, where the Sun is vertical over FIEST LESSONS IN SCIENCE. 175 the Equator, to go backward slowly along the Eoliptii very slowly, indeed, so as to go round completely in the same long interval of 25,868 years. But as this change also goes on continually, the effect becomes considerable after a long time. Tou will see that something of this kind takes place, in consequence of this motion of the Earth's axis, if you draw the figure of (35) to represent the Earth at the Equinox of Sept. 21. For, if you now suppose the end of the Earth's axis moved away a little, perpendicular to the plane of the paper, you will see that the Equator will be lifted up a little above the Ecliptic, and the Sun will no longer be vertical at the Equator, but at some little distance South of it. Hence it wiU have already been vertical at the Equator, be- fore the Earth got to this point of its orbit. In other words, the Equinox will have gone backward a little, as it were, to meet the Earth. The time of the Earth reach- ing the Equator will precede a little the time, at which it would have reached it but for this fact. Hence the re- gression, or going backwards, of the Equinoxes, is often called the Precession of the Equinoxes. Similar effects are caused by the Moon's attraction, as well as the Sun's ; and these are calciilated separately, as Solar Precession and Lunar Precession. The effects thus produced in one year are very minute indeed. Still, when continually accumulating, age after age, very minute effects become considerable. And the whole retrograde motion of the Equinoxes, which is only about 50" a year, has amounted to about 30° altogether since the first cata- logue was made. The consequence is that when the Earth gets to the Equinox in our days, we no longer see the Sun among the same Stars as Hipparchus did. Instead of seeming to enter the constellation Aries, for instance, at the times of the spring Equinox in northern regions, he 176 FIBST LESSONS IN SCIENCE. •will seem to be about to enter Pisces. Nevertheless, astronomers still keep the name Aries for that part of the heavens, in which the sun is seen for about thirty days after this Equinox, though he is really moving all the while through the constellation Pisces. Hence that part of the heavens is called the sign Aries, to distinguish it- from the constellation Aries ; and so it is with the other signs and constellations. 140. But you will remember also that the Earth does not go round the Sun in a circle, but in an ellipse, and is, therefore, nearer to the Sun at some times than at others. Hence the action of the Sun and Moon on the protuberant parts of the Earth is not quite the same at all parts of the year. Sometimes the Earth's axis is bent a little more to the Ecliptic, and sometimes a little less, than it is in its mean position. This effect is called the Nutation, or nodding, of the Earth's axis. There is, as before, both a Solar and a Lunar Nutation ; and the result is, that in- stead of the Earth's axis describing a little circle in the sky, it describes a wavy line, nearly a circle, but going in and out of that circle continually. This effect, however, is not like that of Precession, continually accumulating. Hence it will be seen that, if we wish to determine accurately the place of a star or other heavenly body, so as to compare our observation of it with observations made at another time, it will be necessary to take account of each of these two effects of Precession and Nutation. A small correction, as it is called, must be applied on both accounts, in order to fix the body's place in the sky, not as it is now, but as it was, at some particular time, or epoch, which astronomers may agree to fix on, so as to refer all their observations to it. 141. Besides these two corrections for Precession and Nutation, there are three others, which must be applied in FIRST LESSONS IN SCIENCE, 177 every case, before we can determine accurately the place of a heavenly body from the observations we have made. One of these is that for Refraction. The spherical coating of air which surrounds the Earth, acts just as a curved lens does, in bending any ray of light which falls upon it from any distant luminous point, so that the direction in which we see the ray, and in which we, therefore, fancy we see the point from which it comes, is not that in which the point really lies. In fact the air, which is more dense close to the Earth, and gets thinner and thinner, till, at a distance of about fifty miles from it, it does not even exist, may be regarded as consisting of a great many thin coats or shells of different densities. When the ray reaches the outer one of these, it is bent a little, a little more at the next, and so on, till it has travelled along a sort of curved path, before it actually reaches the eye. In consequence of this, the heavenly bodies seem to be higher than they really are in the sky. And a small correction has to be applied in consequence. Indeed, near the horizon the air is so loaded with vapours, that the refraction is considerable. The whole disk of the Sun or Moon is so much raised in consequence that we may see it above the horizon, when it is still below it ; and the lower parts of the disk are more raised than the higher, so as to give a flattened ap- pearance to the lower side of it. Hence twilight is due not only to the reflection of sunlight from the upper regions of the air, but also to the refraction of a portion of the Sun's light, which is curved round to shine upon the clouds, and so be reflected to the Earth. 142. Another correction is that to be made iot parallax. We observe the body from some point on the surface of the Earth. And, as every observer will do the same from the station where he stands, it is desirable, in order to be able to compare the different observations, that 178 FIKST LESSONS IN SCIENCE. they should all be referred to one point, namely, the Earth's centre. A correction then has to be made for this change of place in the point whence the observation is made. Lastly, a correction must be made for aberration. Sup- pose a shower of rain to fall perpendicularly, when the air is quite still. If a person were to stand upright, he would be sheltered from the drops, which would fall on his bat. But, if he runs on, he will feel the drops strike on his face. It will seem to him as if they were driven bj' a wind in a slanting direction. And yet, all the while the drops are still falling perpendicularly down, and the appearance arises from his own motion. The same would be true, if there was a little wind at first blowing the drops against his face in a slanting direction, while he himself stands still. As soon as he begins to run, the drops will appear to come in a more slanting direction still ; and, if he supposed them actually to be coming from the direction in which they seem to come, he would make a great mistake. Just so it is with the rays of light, which come from a distant body, as a Star. They seem to come in a certain direction, when they reach the eye. But we are ourselves moving forward with the Earth in her orbit about the Sun, at the rate of 68,000 miles an hour. Hence we must not conclude that the rays, by which a Star is seen, come really from the direction in which they seem to come, even when we have made the correction for Eefraction. We must apply a correction for the aberration of a Star, that is, its " wandering away " in appearance from its true place, by reason of our motion. Thus in reducing (as it is called), that is, bringing into order with other observations, an observation of a Star, its place, as shown by the instruments, must have Jive distinct corrections applied to it — those for Befraction, Parallax, Aberration, Precession, and Nutation. To face page Ha. FIEST LESSONS IN SCIENCE. 179 Such is the extreme nicety required in astronomical calculations. But, when these precautions are taten, the point, where a Planet will be seen at any instant, or the line in which Mercury or Venus will cross the disk of the Sun, or the moment at which any given Star will cross the meridian of a place, may be fixed years before- hand, and observed to happen according to the prediction with the most perfect accuracy. 143. A sidereal day is the interval of time between two successive passages of a Star over the meridian of any place. This is absolutely the same at all times of the year for all Stars ; and it is the day always used by astronomers. For common purposes, however, it would not be convenient, because the business of life is governed by the Sun. Hence a solar day, or the interval of time between two successive passages of the Sun over the meridian of a place, is the day used in common or civil purposes. This day is longer than the former by about four minutes. This arises from the fact that, in the interval, the Earth will have gone on in its orbit about the Sun, and will have to turn rather more than once completely round on its axis before the Sun will come again on the meridian of the place. Thus take S the Sun, and A the centre of the Earth at any part of its orbit. Draw a small circle around A to represent the Earth, and join SA, cutting the circle in P. Then, when the Earth's centre is at A, the Sun will be on the meridian at P. Suppose that, while the Earth turns once round upon her axis, her centre gets on to a ; then, drawing ap parallel to AP, p will be the present position of P. But the Sun is not on the meridian of p ; and the Earth will have to turn round a little more, before p will be brought round for the Sun to pass over its meridian. A Fixed Star, however, if seen from the Earth, on the meridian of N 2 180 FIRST LESSONS IN SCIENCE. P, in the direction PS when the Earth is at A, wonld, in consequence of its vast distance, be seen in the direction ps at a, on the meridian oi p. This small interval of time, by which the solar day exceeds the sidereal, is not the same at all parts of the year, partly by reason of the change of position of the Earth's axis, through Precession and Nutation, and partly by reason of the difference of speed, with which the Earth travels at different points of her elliptic orbit. Hence the solar day is sometimes longer, sometimes shorter, than its mean value. On this account the solar day would be inconvenient for ordinary purposes, 144. For common purposes, the mean solar day is used, which is equal in length to the average of true solar days throughout the year. This mean solar day is divided into 24 equal parts called hours, the hour into 60 minutes, and the minute into 60 seconds ; and these are the days, hours, minutes, and seconds, shown by ordinary clocks and watches, and employed in common life. The time before noon is marked, as we have seen before, by the letters A.M. {ante meridiem, before midday), that after noon, by the letters P.M. (post meridiem, after midday.) The hour of noon, or midday, is not, therefore, always the time when the Sun is on the meridian. Sometimes the clock may point to twelve at noon a few minutes before or after the Sun comes to the meridian; and in such cases it is said that the clock is before or after the Sun, respectively. The number of minutes, which must be taken from or added to mean-time or clock-time, in order to get the true time, is called the *' Equation of Time," and is set down in the almanacs. Four times in each year the equation of time is zero, that is, the mean time is the same as the true time. The sidereal day is 3 minutes 56 seconds shorter than FIRST LESSONS IN SCIENCE. 181 the mean solar day, and, therefore, contains 2Sh. 56ni. 4s. of common time. But astronomers use a sidereal clock, that is, a clock which keeps sidereal, instead of common time. They divide the sidereal day into 24 hours (each hour, of course, a little shorter than a common hour), and the hour into sixty minutes. And they consider the day to begin ■when the first point of Aries (that is, of the sign Aries)^ is on the meridian. 145. The sidereal year is the interval of time, during which the Earth goes round in her orhit about the Sun ; in other words, it is the interval of time between the Sun's being seen from the Earth in a certain position among the Fixed Stars, and his being seen again in that position. That interval is 365d, 6h. 9m. 10s. of mean solar time. This, as I have said, is the time which the Earth takes to make one complete revolution around the Sun. But this is not exactly the time between her leaving an Equinox and returning to it, which is a somewhat shorter interval, because the Equinox, as we have just been seeing, goes backward slowly to meet the Earth, by reason of Preces- sion. This makes the year only 365d. 5h. 48m. 60s. long, and, thus reckoned, it is the time, which passes between the same seasons coming over again. This is what is called the Tropical year; and it is the year used for common purposes, as, of course, it would be very incon- venient for the seasons not to come always at the same parts of the year. Thus, if we took the sidereal year, which is longer than the tropical by 20m. 20s., then supposing that the Sun was in the Spring Equinox at noon on March 21 of any year, the next year this would happen 20m. 20s. before noon, the next 40m. 40s. before noon, and so on. In fact, in 60 years, it would happen 20h. 20m. before noon of March 21, that is, it would happen 8h. 20m. before midnight of March 20. And so, in the course of 182 FIEST LESSONS IN SCIENCE. years, the day of the Sun being in the Equinox would go back into February, January, December, &c., and we should have spring, and the other seasons, occurring at all parts of the year. By using the tropical year for common purposes, the seasons always happen at the same parts of the year. 146. Tou will see, however, that this year does not con- sist of an exact number of days. It contains nearly, but not quite, 365d. 6h., or 366J days. In the days of Julius Caesar, the Eomans used to reckon the year as containing 355 days only ; and then their priests and rulers added as many days as they thought necessary to keep the seasons straight, till, at last, utter confusion arose in their reckonings. Julius Caesar, advised by an eminent astro- nomer of those days, Sosigenes, took 365J days, as the length of the year, and ordered that each year should in future be held to contain 365 days, except every fourth year, and that should contain 366 days ; so that the four years together contained the same number of days as four years each of 365 J days. In order to get the seasons straight, he was obliged to order that the last year, before the new system was to begin, should consist of 445 days. Well might this year be called, as it was, the " year of confusion." In order to make up the 365 or 366 days, Julius Cassar ordered that there should be twelve months ; and that, instead of each month containing 30 days (which would ma'ce up only 360 altogether), all the odd months, that is, the first, third, fifth, &c., should contain only 29 days. The seventh month was called Julius, in honour of his name, and we still call it July. His nephew and successor, Augustus, had the name of the eighth month altered after his own name, and we still call it August. But he would not let the number of days in his month be less than in Julius Cesar's. So he made the eighth month to contain 31 days, and changed the rest after it, so as to FIRST LESSONS IN SCIENCE. 183 contain in order 30, 31, 80, 31, days. And the day, which he. thus added to the eight month, he took away from February, which was now to contain only 28 days in com- mon years, and 29 in leap years. 147. The above arrangement we still retain. But Julius Csesar's correction, you see was a little too large, since the year falls short of 365d. 6h. by 11m. 10s. Hence in 60 years this error amounted to llh. 10m. ; and in 360 years to 67h., or nearly 8 days. In the year 1414 it began to be perceived that the Equinoxes were gradually creeping away from March 21 and Sept. 21 ; and in 1582, Pope Gregory ordered Oct. 5 to be called Oct. 15, by which the disorder of the calendar was partly set right. I say partly, because if the error was 67h. in 360 years, it would be more than 4 times as much in 1582 years, and 4 times 67h. is 268h., or lid. 4h. The correction was made in England in 1752, when Sept. 3rd was changed to Sept. 14. It ought to have been changed to Sept. 15 ; and then all would have been right, with one small adjustment which Gregory also made. In 860 years we have seen the error is 67h., and in 40 years, therefore, rather more than 7h. ; hence in 400 ( = 360 and 40) years the whole error is rather more than 67h. and 7h., or 74h., that is, it is rather more than 3 whole days. If, then, 3 days be omitted in the course of 400 years, the error will be set right, except for the very small error which still remains, and which will not amount to one day in 4000 years. Hence the rule is to reckon every year as a leap year, when the number of the year can be divided without remainder by four (which gives every fourth year,) but not to reckon as leap years the years which close the centuries (as 1700, 1800, 1900), when the number of the centuries (17, 18, 19) cannot be divided exactly by 4. 148. We will now return to speak of the Fixed Stars. 184 FIRST LESSONS IN SCIENCE, On close observation, it is found that there are many Stars, called the Periodic Stars, which change their lustre from time to time, becoming brighter by degrees, till having attained their greatest brilliancy, they again de- cline gradually, and, at last, even disappear. After a while, they appear again, and go through the same changes. One, for instance, the Star Omicron, in the neck of the Whale, shines like a large Star of the 2nd class for 14 days, then decreases, and after three months disappears for five months, when it reappears, and increases for three months, till it attains again its greatest splendour, having a period of about 332 days. The Star called Algol, in the head of Medusa in the constellation of Perseus, appears as a Star of the 2nd class for 62 hours, then, decreases for 3J hours to the ith class, and then increases again to 3J hours to the second class, as at first, and so on con- tinually. It is thought that some dark body must revolve around such a Star, as a Planet. It must be a very large body, as large, for instance, as our Sun, to hide so much of the light ; but it need not be a massive body. 149. Other Stars, called Temporary Stars, are such as have suddenly appeared, shone for a time with great splendour, perhaps, and then disappeared, as it seems, for ever. One such Star was observed B.C. 125, and it was the sight of this which moved the Greek astronomer, Hipparchus, to make the first catalogue of the Stars. Another was seen A.D. 389, and shone for three weeks as brilliant as Venus. In 1572, the great Danish astronomer, Tycho Brahe, returning to his home on the evening of Nov. 11, found a crowd of peasants gazing at a Star, which he was sure did not exist half-an-hour before. It went on, increasing in splendour for some weeks, till it exceeded Jupiter at his brightest, and was seen at midday. Then it gradually diminished, and disappeared in March, FIEST LESSONS IN SCIENCE. 185 1574, sixteen months after its first appearance. Other Stars are certainly missing, which were once observed and marked down in ancient lists. 150. There are about 6000 Stars, known as Double Stars, which seem to the naked eye to be single, but, when viewed by the telescope, are seen to consist of two Stars, so close together that they appear as one. Some of these, no doubt, only seem to be close together, when in point of fact one of them may be lying immensely beyond the other, though seen in the same line with it. But this is not the case, generally with these Stars, as astronomers are able to conclude for certain reasons. There seems to be some close connection between the two Stars in most of these cases, as if there were two Suns, having special re- lations to each other. Frequently they are colouredj and the colour of one of them depends on that of the other, according to a well-known rule of the science of Optics, which teaches about Light. Thus, one may be bright red, or orange, and then the other will be blue, or green. Some are of a blood-red colour : but no Star is blue or green without a companion. Some of these Stars also are triple, some quadruple, and one shows even six Stars, four large and two very small. Yet when we speak of their being close together, we must not forget what that means in the case of Stars so distant from us. If the angle between them is seen to be 1" only, yet that, we know, implies a real distance of 20 billions of miles, which it would take light 3^ years to travel over. With many of these double Stars, the angle is less than 1" ; but with others it is larger, from 1" up to 32". 151. But among them, there are many called Binary Stars, which actually revolve about each other under the Law of Gravitation, which thus is seen to extend through- out the Universe, as far as we know it. The orbits and pe- 186 FIEST LESSONS IN SCIENCE. riods of several of these have been calculated. And among them is Alpha Centauri, the nearest of the Fixed Stars, which consists of two Suns, the mean angle between them being 15J", so that their mean distance from each other is 310 billions of miles, and light would take about 50 years to travel from one to the other. And yet they go round, in elliptic orbits of very great eccentricity, in 77 years. 152. Trom the above it appears that it is not strictly true that the Fixed Stars never change their places in the sky. Yet the above motions are not noticeable by the naked eye. And we may still speak of them as Fixed Stars, in distinction from the Planetary bodies of the Solar System. And, in point of fact, besides such move- ments as the above, they are found, when observed with very delicate instruments, to have a very minute motion, or, rather, appearance of motion, which astronomers believe to arise from a real motion of our Sun, carrying all his troop of Planets with him, and revolving about some distant point, or, perhaps, some other Sun, like himself. We have seen that the two suns of Alpha Centauri are distant 310 billions of miles. If our Sun's companion were at that distance from him, he would only, perhaps, be seen as a starry point ; and he may be for anything we know to the contrary, much farther off from him than this. It has been ascertained that this annual motion of the Sun is at the rate of about one 100,000th of the distance of the nearest Fixed Stars from us. Hence the change of appearance in the nearest Stars, which would arise every year from such a motion, may be compared with that which would take place in the trees of a wood a mile off from a man, in consequence of his moving one 100,000th part of a mile, or about half-an-inch. No wonder, therefore, that to all ordinary observation, the Stars still appear to be Fixed Stars. PIEST LESSONS IN SCIENCE. 187 153. But the cluster to wliich our Sun belongs, and all the millions of Stars of which we have been speaking, is but one of a multitude of similar clusters, which are seen in various parts of the sky, but not in all parts alike — being wholly absent from some regions, in others rarely found, and crowded in others. To the naked eye they appear like Stars seen through a mist, or as nebulous specks, which may be, and often are, mistaken for Comets. With a powerful telescope they are seen to consist each of innumerable Stars. Each one, in fact, of these little nebulous specks is a distant cluster of millions of mighty Suns, like that to which our Sun belongs. Some are at once seen by a common telescope to be clusters of Stars, as the small, but beautiful one, which surrounds the Star Kappa, in the Southern Cross, whiuh contains 110 Stars, eight of them coloured with tints of red, green, and blue, so that it looks like a piece of rich jewellery. Some- times in the middle of such a cluster may be seen a very red Star, much brighter than the rest. There is one superb globular cluster, near the centre of the small Magellanic Cloud (of which I will speak presently), which is very visible to the naked eye, and one of the finest objects of the kind in the whole heavens. It consists of a spherical mass of Stars of a pale rose colour, enclosed within a globe of white ones. In the famous group, the Pleiades, six or seven Stars only can be seen by the naked eye. But the telescope shows 60 to 60 large Stars crowded together in a small space, and separated from the rest of the starry host. Such clusters as these are seen to consist of separate Stars ; others are seen, indeed, to be Stars, but only appear as patches of starry powder. Others, again, require very powerful telescopes to convert them from mere dim nebulae into clusters. Sir John Herschel care- fully observed, with his powerful instrument, 4000 of 188 FIEST LESSONS IN SCIENCE. these nebulsB, and drew the figures of many of them ; but was often unable to show that they were clusters at all* However, most of these have now been resolved — loosened, d.s it were — by the still stronger power of Lord Eosse's telescopes, and shown to be, indeed, masses of innumerable Stars. The magnificence of some of the spectacles, beheld with Lord Eosse's great telescope, when turned to such clusters and nebulas, is declared, by all who have witnessed it, to be such as no words can express. 154. These beds of Stars have often very curious forms. Some are circular, some almost linear, which are evidently very long ovals, some ring-shaped, or annular, others spiral, that is curled about a centre. Many of the circular nebul» are of an exactly round figure, and " convey the idea," says Sir John Herschel, " of a globular space filled with Stars, which constitute a family or society apart from themselves, subject only to its own laws." And we cannot doubt that every one of the Stars which make up such a cluster is a Sun like ours, and separated from its brethren of the same cluster by vast distances, such as separate our Sun from the Fixed Stars, his brethren. About twenty-five of these nebul® have been noted, which show disks like Planets. One of these is in the , Southern Cross, and is of a fine full blue colour, verging upon green. Others are sky-blue. And there are double nebulae, and, possibly, binary nebulae, like double and binary Stars, having evidently special relations to each other. Thus system is heaped upon system, till we stand lost in adoration of the evidence they afford of infinite power and unfathomable design. 155. Besides those which Sir John Herschel has de- scribed, there are thousands more, which have yet to be registered by other observers, and more powerful instru- ments, like Lord Eosse's. Every fresh improvement in FIRST LESSONS IN SCIENCE. " 189 the telescope brings multitudes of fresh wonders into view, whicli had never before been seen. There are two nebulous masses of light, conspicuous to the naked eye in the Southern Hemisphere, called the Magellanic Clouds, from the name, Magellan, of the ancient navigator, who first went round the world, and first saw these extraordinary clouds. They are roundish in shape, near one another, both large objects, but one larger than the other ; and they look not unlike portions of the Milky "Way, The larger can be seen in strong moonlight, but not the other. When viewed through powerful telescopes, they are found to be of astonishing perplexity. The general ground of each consists of large tracts and patches of nebulous matter, that cannot be resolved, mixed up with separate Stars, and clustering groups of Stars. But spread over this general ground, as it were, are nebulse in abundance, of all shapes and sizes, globular clusters, and nebulous objects, which are seen no- where else in the sky. Within the larger cloud, there have been counted 278 nebulas and clusters, besides 50 or 60 more upon its borders ; and this far exceeds the average of any other part of the sky, even of those parts most crowded with nebulse. 156. And each of these is a cluster of glorious orbs, millions upon millions, each, like our own Sun, shining with its own light, and, probably, giving light and heat to its own troop of attendant Planets. We must speak here with reverence and bated breath, bowing our hearts before the all-adorable Majesty of the Great and Blessed God. Are these inhabited worlds? We know not yet; nor, perhaps, will it ever be given to man to know in this life. But we cannot suppose that they were all made to give Tis light by night, when one Moon would give more light than all the Stars, or only to exhibit a grand and glorious 190 FIEST LESSONS IN SCIENCE. sight, when so few eyes can even see the vast multitudes of the starry hosts, and few can know even that which you will now know, of the awful wonders they reveal to us. Our happy privilege is to be able to look up, and say " our Father," to Him who made this mighty Universe, taking with us the words, which Christ Himself has taught us, and believing that He, who has given us the powers, which we have, for seeing and feeling the Great- ness and Goodness of His Works, has meant us thus to use them, and will bless us of a truth, while we devoutly " pon- der these things," and seek to "understand the loving- kindness of the Lord." God grant us so to live on Earth, that we may be counted worthy to stand before Him at the last, and see the Glory of His Kingdom for ever and ever ! Meanwhile, from each inmost recess of the great temple of the Universe, into which we have been permitted to gaze, we may hear, as it were, the same solemn utter- ance, " Stand in awe, and sin not : commune with your own hearts, and in your chamber, and be still. Offer the sacrifice of righteousness, and put your trust in the Lord." 157. In this book I have written chiefly about the Sun, and Moon, and Stars. Let me now add a few more words about the wonders which Geology reveals to us. Standing on the very threshold of that science, a student must feel himself almost overwhelmed, at first, with the awful sense of the enormous lengths of time which have passed, since first the world in which we live was called into being. He will obtain from it such an idea of eternity, as he has never had before. He looks in, as it were, into some dim vaulted chamber, and sees arch after arch reach- ing away before him, till he can see no farther. He follows, trembling with emotion and dread, through the still, solemn, halls ; and, when he has at length stepped on into the gloom, far from the, light of day and the PIKST LESSONS IN SCIENCE. 191 converse of his kind, he sees the interminable range of arched pillars stretched out as before, age after age, into the infinite Past. Snoh is the feeling, with which any thoughtful person must read the records of the Earth's past history, written upon the rocks. You have been told something about this already, and, I hope, will learn more about it from another little book, which I am about to write for you. But one simple fact I will set before you now. The coal-beds of Nova Scotia, including both the seams of coal and the beds of clay and sand deposited between them, are known to be three miles in thickness. The coal itself is mere vegetable mould, formed by the dropping of leaves, and the decay of plants, through a long lapse of years, in the thick luxuriant forests, which grew of old, as they grow now near the mouth of some mighty river. And the layers of sand and clay were brought down by the stream in its times of flood. It is certain that such coal-beds as these could not have been formed in less than 350,000 years. And yet this, we know, is but one of many other such ages, which must have passed, since first God gave the word, that this Earth should be. 158. And Man has been living for a few only of these years at most upon the Earth ! We know this certainly, because, though we find traces innumerable of other living creatures, of beasts and birds and fishes and insects, buried up in the older strata of the Earth's crust, we find none whatever of man, except in those of the most recent date — no bones of his skeleton, no signs of his art. "We cannot surely say that the Earth was made only for man. When we think of the ages full of glory and beauty and life, which have passed away before man was, and of the very small portion of the Earth's thin crust, which he can even see and examine, much less turn to his uses, we cannot 192 FIRST LESSONS IN SCIENCE. presume to think tliat the whole huge earth was made only for man. As well might we say that the Sun was made only to give him warmth by day, and the Moon and the Stars to give him light by night. Yet, though not made only for Man, these things have been made, in the Great Creator's scheme, with express and most gracious reference to Man. The Sun that, hundreds of thousands of years ago, gave light and heat, under which the forest grew in tbose primeval swamps, where the coal-beds of Nova Scotia were formed, must have shone with some express reference to such a being as man, who should be able to make use of such stores as these of hidden treasure, to draw them out of the depths in which they have so long been buried, to turn them to his' uses, to contrive the mighty engines that minister so vastly to the comforts of his daily life, and supply the means of intercourse and communion with his fellows. "Who but a creature like Man, could have turned to account the coal, and the lime, and the slate, and the building stones of various kinds-^ the iron, copper, tin, and lead, and the multitude of other substances, mineral and vegetable, which the care of the Creator has provided ? How plainly does the simple fact that these things are, and that man alone is capable of using them, prove to the reasoning mind that, whatever may be the case hereafter, whatever may become of the Earth, whatever creature may be placed upon it, yet. man was intended from the first to inhabit this world in his ap- pointed time ; and all the ages that have passed, whatever else they have done, have done this also, to fit the Earth to be the home for a time, and the working-place of man. 159. Ah, yes ! man's working-place — a place where we must work out that which accords with the spiritual nature given us. We are sure that in the sight of Him, who is a Spirit, spiritual beings, such as we are, must have a value FIRST LESSONS IN SCIENCE. 193 very different from that of creatures, who have merely- bodily life, and those lower instincts, which distinguish the brute beast from the plant. They cannot know the right from the wrong, the good from the evil. "We have the Law of God written within our hearts by the finger of our Maker. We have the gracious teachings of His Spirit, the whisper- ings of His Love, the sense of His Displeasure. We have within us the faint reflexions of His glorious excellencies. We know His perfect Truth, and Purity, and Goodness, by that very power which He has given us, to take delight in Truth, and Purity, and Goodness — ay, to love and honor and glorify it in our very heart of hearts, even when we are giving way to some vile temptation, and consent to do what we know to be evil. And there is that within us which tells us, as plainly as the Bible tells us, that. the " wages of sin is death," that " he who soweth to the flesh shall of the flesh reap corruption." And there is something too which tells us that to do the will of God ia life, such life as spirits need and long for — the life Eternal, which comes from knowing Him more truly, from whom all Light and Life are flowing. 160. If we had not the Bible to teach us — the utterances of men's hearts in other days, breathed into by the Spirit of God, and answering to that, which we feel within our- selves, breathed by the One and selfsame Spirit — yet the contemplation of the works of God shows us an Order also in His Universe — a steady, constant, sequence of cause and effect — the permanence of fixed laws, from the very first age of the world's existence until now. Those, who first begin to study the formation of the Earth's Crust, may be led, as many have been, to imagine that by some irregular wild, convulsive efforts, unlike any which we now see in Nature, the rocks were made, and the mountains raised, and the valleys sunk. They may fancy that such immense o 194 FIRST LESSONS IN SCIENCfE. results as these could only have been brought about by a succession of violent earthquakes, by mighty volcanic action, such as might speak, indeed, of Power and Wisdom, of a Will working all things to an end, but would leave upon the mind a painful, bewildering, sense of disorder, confusion, insecurity. But true Science teaches us other- wise. It tells us that there is, indeed, a Living Euler of the Universe, who has made His actual Presence felt, and shown forth His Might and Wisdom, from time to time, in fresh acts of creative power, calling into existence, as He saw good, new races of living creatures, differing in size, and form and nature, in wonderful variety, to fill up their part in His stupendous whole. But it tells us also that these, when created, fall at once under fixed Laws. It tells us that even the Volcano and the Earthquake, the Equinoctial Gale and the Thunderstorm, are all under Law to God, are all governed by laws, such as we our- selves can turn to account for a thousand daily uses, when we bind the Giant Steam to do our work by land or by sea, and bid the Lightning carry our messages. It teaches us also that far greater results than these, which have been wrought by the sudden action of fire and flood, have been produced by slow, long-continued action of God's laws, ceaselessly working with unwavering, unfailing certainty. In one word, it makes us sure that all things are ruled by Law and Order under the Government of God, in the natural world ; and this tells us that the same also is true in the moral world. We are made to feel that, if we break God's Order, or teach others to break it, by' acts of sin and fleshly self-indulgence, we shall surely reap the fruit of our doings — that the results of our actions, whether good or evil, are sure and certain, each according to its kind, whether completed by some sudden stroke at once, or long delayed, to be brought about, after a greater FIEST LESSONS IN SCIENCE. 195 lapse of time, by the same Eternal Laws. " Some men's sins are open beforehand, leading the way to judgment ; and others they follow after. Likewise also the good deeds of some are manifest beforehand ; and they which are otherwise cannot be hid." This thought makes ns feel safe and happy under the Government of God. It would be a miserable world to live in, if we were not sure of this, that things do not go at random, by caprice and arbitrary choice under His Government, but by fixed, unerring, immutable Laws, the Laws of Kighteousness and Truth, administered, not by mere Sovereign Authority, but by Fatherly Love. LONDON: PRINTED BY WILLIAM CLOWES AND EONS, LIUITED, blAMFOItO aXSEET AND CHAKING CKOSS,