Elementary Course of Geometry
Elementary Course of Geometry
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In our eReader you can find the full English version of the book. Read Elementary Course of 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 Elementary Course of Geometry
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(See also th. 19. ) THEOREM LX.
Rectangles are to each other as the products of their bases by their altitudes.
For, in the last figure, let the two rectangles P and Q be unequal, and be placed as before. Then (th. 57), P:R:: A: B; R : Q : : D : C. Multiplying the two proportions, and striking out the common factor R from the two terms of the first ratio of the resulting proportion, we have P:Q:: AxDiBxC. Q. E. D. Scholium. The area or space of a rectangle may, * i. E. , the first side of the f...irst is to the first of the second as the second of the second is to the second of the first. By multiplying the extremes and means, this will make the rectangle of the two sides of the one figure equal to the rectangle of the two sides of the other.
60 GEOMETKY.
then, be represented or expressed by the product of its length and breadth multipJied together. And, in geometry, the rectangle of two lines signifies the same thing as their product. (Compare ths. 59, 54. ) Also, a square is similar to, or represented by, its side mul- tiplied by itself, or written with an exponent 2.
What to read after Elementary Course of Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Charles W Charles William Hackley to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
(See also th. 19. ) THEOREM LX.
Rectangles are to each other as the products of their bases by their altitudes.
For, in the last figure, let the two rectangles P and Q be unequal, and be placed as before. Then (th. 57), P:R:: A: B; R : Q : : D : C. Multiplying the two proportions, and striking out the common factor R from the two terms of the first ratio of the resulting proportion, we have P:Q:: AxDiBxC. Q. E. D. Scholium. The area or space of a rectangle may, * i. E. , the first side of the f...irst is to the first of the second as the second of the second is to the second of the first. By multiplying the extremes and means, this will make the rectangle of the two sides of the one figure equal to the rectangle of the two sides of the other.
60 GEOMETKY.
then, be represented or expressed by the product of its length and breadth multipJied together. And, in geometry, the rectangle of two lines signifies the same thing as their product. (Compare ths. 59, 54. ) Also, a square is similar to, or represented by, its side mul- tiplied by itself, or written with an exponent 2.
What to read after Elementary Course of Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Charles W Charles William Hackley to read onlineMoreLess
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