First Lessons in Geometry
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In our eReader you can find the full English version of the book. Read First Lessons in Geometry Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book First Lessons in Geometry
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To quickly assess the difficulty of the text, read a short excerpt:
(One half) How long is the radius of the cycloid at the top of the arch ? How long at the bottom ? What is the evolute of a cycloid ? Explain what you mean by this ?
9T If I want to slide anything from A down to B, there is no curvOj nor straight line, down which a thing would slide so quickly as down the cycloid. If a hill was hollowed out in that shape, sleds would run down it faster than they could down any other shaped hill of the same height and the same breadth at the bottom.
6. The secon...d curious thing about sliding on the inside of a cycloid is, that it takes always exactly the same time to slide to the bottom, how- ever high up or low down you start. If A, in the last figure, is the top of such a hill, and c the lowest point, it will take a sled exactly as long to go from B to c, as to go from A to c. But this, you must remember, is only when we imagine the hill and the runners of the sleds to be, both of them, perfectly slippery ; so that there shall be no rubbing. In that case, if the road from A to c was two miles long, it would only take a sled twenty-eight seconds to come down the whole length.
What to read after First Lessons in Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Thomas Hill to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
(One half) How long is the radius of the cycloid at the top of the arch ? How long at the bottom ? What is the evolute of a cycloid ? Explain what you mean by this ?
9T If I want to slide anything from A down to B, there is no curvOj nor straight line, down which a thing would slide so quickly as down the cycloid. If a hill was hollowed out in that shape, sleds would run down it faster than they could down any other shaped hill of the same height and the same breadth at the bottom.
6. The secon...d curious thing about sliding on the inside of a cycloid is, that it takes always exactly the same time to slide to the bottom, how- ever high up or low down you start. If A, in the last figure, is the top of such a hill, and c the lowest point, it will take a sled exactly as long to go from B to c, as to go from A to c. But this, you must remember, is only when we imagine the hill and the runners of the sleds to be, both of them, perfectly slippery ; so that there shall be no rubbing. In that case, if the road from A to c was two miles long, it would only take a sled twenty-eight seconds to come down the whole length.
What to read after First Lessons in Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Thomas Hill to read onlineMoreLess
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