...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...

...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...

...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...

...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...

...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...

...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...

...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'...

...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...

...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...

...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...