| Charles Davies - Trigonometry - 1849 - 372 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... | |
| Charles Davies - Geometry - 1850 - 218 pages
...in the same plane, and let AT be their common altitude. If they are not equivalent, let & — -abc 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... | |
| Charles Davies - Geometry - 1850 - 238 pages
...situated in the same plane, and let AT be their common altitude. If they are not equivalent, let S — abc be the smaller ; and suppose Aa to be the altitude...Divide the altitude AT into equal parts Ax, xy, yz, dec., each less than Aa, and let h be one of those parts : through the points of division pass planes... | |
| George Roberts Perkins - Geometry - 1850 - 332 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...difference. Divide the altitude AT into equal parts AST, xy, yz, &c., each less than Aar, and let k be one of those parts ; through the points of division,... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...common altitude: then will they bo equivalent. u_For, if these pyramids are not equivalent, Jet S-dbc be the smaller; and suppose Aa ,to be the altitude...parts Ax, xy, yz, &c., each less than Aa, and let k denote one of those parts ; through the points of division pass planes parallel to the planes of the... | |
| Charles Davies - Geometry - 1886 - 340 pages
...in the same plane, and let AT l1e their common altitude. If they arc not equivalent, let S — abc be the smaller; and suppose Aa to be the altitude...difference. Divide the altitude AT into equal parts Ax, ry, yz, &c. each less than Aa, and let k be one of those parts : through d1e points of division pass... | |
| Charles Davies - Geometry - 1854 - 436 pages
...plane, and let AT be their common altitude: then will they be equivalent. T For, if these pyramids are not equivalent, let S•abc be the smaller ; and...parts Ax, xy, yz, &c^ each less than Aa, and let k denote one of those parts ; through the points of division pass planes parallel to the planes of the... | |
| Charles Davies - Geometry - 1855 - 340 pages
...situated in the same plane, and let AT be their common altitude- If they are not equivalent, let S — abe be the smaller ; and suppose Aa to be the altitude...which, having ABC for its base, is equal to their differenceDivide the altitude AT into equal parts Ax, xy, yz, &c-, each less than Aa, and let k be... | |
| George Roberts Perkins - Geometry - 1856 - 460 pages
...situated in the same plane, and let AT be their common altitude. If they are not equivalent, let S — abc be the smaller ; and suppose Aa to be the altitude...difference. Divide the altitude AT into equal parts A#, xy, yz, etc., each less than Aa, and let k be one of those parts ; through the points of division,... | |
| Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...plane, and let AT be their common altitude : then will they be equivalent. m For, if these pyramids are not equivalent, let S-abc be the smaller; and...parts Ax, xy, yz, &c., each less than Aa, and let Tc denote one of those parts ; through the points of division pass planes parallel to the planes of... | |
| |