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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 192

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 192
will be divided into.two solids^which will be to one another as their bases. Let the solid paraHelopiped ABCD be cut by the plane EV, whichis parallel to the opposite planes AR, HD, and divides the whole intothe solids ABFV, BGCD; as the base AEFY to thebaseEHCF,sois the solid ABFV to the solid EGC… … o Y F c ti KRjHU, MT 5 then,because the straight lines LR, KA, AE are all 192 SUPPLEMENT TO THE ELEMENT^ equal, and also the straij^ht lines KO, AY, EF which make equal an-gles with LK,KA, AE, the parallelograms LO,KY. AF are equal andsimilar (36. 1. & def. 1. 6.): and likewise the…

Euclid's Elements · Geometry · Trigonometry

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