AT into equal parts .Ax, xy, yz, &c., each less than Aa, and let k be one of those parts : through the points of division pass planes parallel to the plane of the bases : the corresponding sections formed by these planes in the two pyramids will be respectively... Elements of Geometry and Trigonometry: With Notes - Page 140by Adrien Marie Legendre - 1822 - 367 pagesFull view - About this book
| Adrien Marie Legendre - Geometry - 1825 - 224 pages
...TA being the same ia both. If they are not equivalent, let sa bc, be the smaller ; and suppose A a **to be the altitude of a prism, which having ABC for...AT into equal parts Ax, xy, yz, &c., each less than** A a, and let fc be one of these parts ; through the points of division suppose planes parallel to the... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 224 pages
...TA being the same in both. If they are not equivalent, let sa bc, be the smaller ; and suppose A a **to be the altitude of a prism, which having ABC for...AT into equal parts Ax, xy, yz, &c., each less than** A a, and let k be one of these parts ; through the points of division suppose planes parallel to the... | |
| Adrien Marie Legendre - 1825 - 224 pages
...TA being the same in both. If they are not equivalent, let sa 6 c, be the smaller ; and suppose A a **to be the altitude of a prism, which having ABC for...Divide the altitude AT into equal parts Ax, xy, yz,** &x., each less than A a, and let A; be one of these parts ; through the points of division suppose... | |
| Adrien Marie Legendre - Geometry - 1836 - 359 pages
...situated in the same plane, and let AT be their common altitude. If they are not equivalent, let S-o6c **be the smaller : and suppose Aa to be the altitude...one of those parts ; through the points of division** pass planes parallel to the plane of the bases ; the corresponding sections formed by these planes... | |
| Adrien Marie Legendre - Geometry - 1837 - 359 pages
...equivalent bases ABC, abc, be situated in the same plane, and let AT •». their common altitude. **If they are not equivalent, let S-abc be the smaller...equal parts Ax, xy, yz, &c. each less than Aa, and let** h be one of those parts ; through the points of division pass planes parallel to the plane of the bases... | |
| Adrien Marie Legendre - Geometry - 1838 - 359 pages
...plane, and let AT be their common altitude. If they are not equivalent, let S-abc BOOK VII. .t 159 **be the smaller : and suppose Aa to be the altitude...altitude AT into equal parts Ax, xy, yz, &c. each** Jess than Aa, and let k be one of those parts ; through the points of division pass planes parallel... | |
| Adrien Marie Legendre - Mathematics - 1841 - 235 pages
...TA being the same in both. If they are not equivalent, let sa bc, be the smaller ; and suppose A a **to be the altitude of a prism, which having ABC for...difference. Divide the altitude AT into equal parts** A x, xy, yz, &c., each less than A a, and let k be one of these parts ; through the points of division'... | |
| James Bates Thomson - Geometry - 1844 - 237 pages
...having equivalent bases and equal altitudes, are equivalent, or equal in solidity. Let SABC, sabe, **be those two pyramids, of which the two bases ABC,...division extend planes parallel to the plane of the** bases ; the corresponding sections formed by these planes in the two pyramids will be respectively... | |
| George Roberts Perkins - Geometry - 1847 - 308 pages
...situated in the same plane, and let AT be their common altitude. If they are not equivalent, let Sabe **be the smaller ; and suppose Aa to be the altitude...one of those parts ; through the points of division,** pass planes parallel to the plane of the hases : the corresponding sections forihed by these planes... | |
| Charles Davies, Sir David Brewster, Adrien Marie Legendre - Trigonometry - 1849 - 359 pages
...pyramids will be respectively equivalent, namely DEF to def, GHI to ghi, &c. (Prop. III. Cor. 2.). **be the smaller: and suppose Aa to be the altitude...having ABC for its base, is equal to their difference.** This being granted, upon the triangles ABC, DEF, GHI, &c. taken as bases, construct exterior prisms... | |
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