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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 121

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 121
PROP. I. THEOR. Triangles and parallelograms, of the same altitude, are one to another as their bases. Let the triangles ABC, ACD, and the parallelograms EC, CF have the^^arae altitude, viz. the perpendicular drawn from the point A to BD; Then, as the base BC, is to the base CD, go is the triangle… … ABC to (lie triangle ACD, and the parallelogram EC to tl»e parallela-gram CF. Produce BD both ways to the points H,L, and take any numbf^r ofstraight lines BG, GH, each equal to the base BC ; and DK, KL, anynumber of them, each equal to the base CU; and join AG. AH. AK,AL. Then,because CB, BG, GH…

Euclid's Elements · Geometry · Trigonometry

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