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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 203

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 203
same manner it is proved, that similar prisms areto one another in the triplicate ratio, or in the ratio of the cubes oftheir homologous sides. PROP. XII. THEOR. If two triangular pyramids, which have equal bases andaltitudes, be cut by planes that are parallel to the bases,and at equal distances… … drawn from A and E upon the planes BDC and FGH: and let thembe cut by planes parallel to BDC and FGH, and at equal altitudesQR and ST above those planes, and let the sections be the trianglesKLM,NOP; KLM and NOP are equal to one another. Because the plane ABD cuts the parallel planes BDC, KLM,…

Euclid's Elements · Geometry · Trigonometry

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