Elements of geometry : containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids : to which are added, Elements of plane and spherical geometry (1826)
Playfair, John, 1748-1819, Euclid · Philadelphia : Marot & Walter · leaf 198
nd CFare also equal. AVherefove, solid parallelopipeds, &c. Q. E. D. OF GEOMETRY. BOOK HI. 197 PROP. VIIT. THEOR. Solid parallelepipeds which have the same altitude, are toone another as their bases. Let AB, CD be solid parallelopipeds of the same altitude: theyare to one another as their… … and complete the solid parallelopiped GK upon the base FH, one ofwhose insisting lines is FD, whereby the solids CD. GK must be ofthe same altitude. Therefore the solid AB is equal (7. 3. Sup.) tothe solid GK, because they are upon equal bases AE,FH, and are ofthe same altitude: and because the…
Euclid's Elements · Geometry · Trigonometry
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