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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 314

An illustration from 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, leaf 314
gures, by showing that they may be made to coin-cide, or to occupy the same space. But, though it be true that allsolids which can be shown to coincide are equal and similar, yet it doesnot hold conversely, that all solids which are equal and similar can bemade to coincide. Though this assertion… … NOTES. SUPPL. BOOK III. 813 be bisected in E. From E draw ED per-pendicular to the plane ABC, and from D,any point in it, draw DA, DB, DC to thethree angles of the trianajle ABC. Thepyramid DABC is divided into two pyra-mids DABE, D ACE, which, though theirequality will not be disputed, cannot beso…

Euclid's Elements · Geometry · Trigonometry

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