 | Adrien Marie Legendre - Geometry - 1822 - 394 pages
...The tworectangles ABCD, E AEHD, having the same altitude, are to each other as their bases AB, g AE : in like manner the two rectangles AEHD, AEGF, having...altitude AE, are to each other as their bases AD, AF : thus we have the two proportions, ABCD : AEHD : : AB : AE, AEHD : AEGF : : AD : AF. Multiplying... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...The two rectangles ABCD, AEHD, having the same altitude AD, are to each other as their bases AB, AE : in like manner the two rectangles AEHD, AEGF, having...altitude AE, are to each other as their bases AD, AF : thus we have the two proportions, ABCD : AEHD : : AB : AE, AEHD : AEGF : : AD : AF. Multiplying... | |
 | Adrien Marie Legendre - Geometry - 1837 - 376 pages
...AEHD, having the same altitude AD, are to each other as their bases AB, AE : in like manner the A B two rectangles AEHD, AEGF, having the same altitude AE, are to each other as their bases AD, AF : thus we have the two proportions, ABCD : AEHD : : AB : AE, AEHD : AEGF : : AD : AF. Lfultiplying... | |
 | James Bates Thomson - Geometry - 1844 - 268 pages
...to each other as their altitudes. PROPOSITION X. THEOREM. Two rectangular parallelopipedons AG, AK, having the same altitude AE, are to each other as their bases ABCD, AMNO. Having placed the two solids by the side of each other, as the figure represents, produce... | |
 | Nathan Scholfield - 1845 - 894 pages
...The two rectangles ABCD, AEHD, having the same altitude AD, are to each other as their bases AB, AE : in like manner the two rectangles AEHD, AEGF, having...altitude AE, are to each other as their bases AD, AF : thus we have the two proportions, ABCD: AEHD::AB::AE, AEHD- AEGF::AD: AF. Multiplying the corresponding... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...The two rectangles ABCD, AEHD, having the same altitude AD, are to each other as their bases AB, AE : in like manner the two rectangles AEHD, AEGF, having...altitude AE, are to each other as their bases AD, AF : thus we have the two proportions, Having placed the two rectangles, H, I*. A ABCD : AEHD : : AB... | |
 | Charles Davies - Geometry - 1850 - 218 pages
...BAE and & F DAF shall form straight lines, produce the sides CD and GE until they meet in H. Then, the two rectangles ABCD, AEHD, having the common altitude...each other as their bases AD and AF. Thus, we have the proportions AB CD : AEHD : : AB : AE, AEHD : AEGF : : AD : AF Of Rectangles H D C If now, we multiply... | |
 | Charles Davies - Geometry - 1850 - 238 pages
...BAE and <? F DAF shall form straight lines, produce the sides CD and GE until they meet in H. Then, the two rectangles ABCD, AEHD, having the common altitude...each other as their bases AD and AF. Thus, we have the proportions ABCD : AEHD : : AB : AE, AEHD : AEGF : : AD : AF GEOMETRY. Of Rectangles. If now, we... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...the two rectangles ABCD, AEHD, having the same altitude AD, are to each other as their bases AB, AE : in like manner the two rectangles AEHD, AEGF, having...altitude AE, are to each other as their bases AD, AF : thus we have, Multiplying the corresponding terms of these proportions together (B. u., p. 13),... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...the two rectangles ABCD, AEilD, having the same altitude AD, are to each other as their bases AB, AE: in like manner the two rectangles AEHD, AEGF, having...altitude AE, are to each other as their bases AD, AFC thus we have, ABCD : AEHD : : AB : AE, AEHD : AEGF : : AD : AF. 92 GEOMETRY. Multiplying the corresponding... | |
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A are verti' cal, produce the sides GE, CD till they meet in H. The two rectangles ABCD, AEHD, having the same altitude, AD, are to each other as their bases, AB, AE. 
