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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 152

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 152
OF GEOMETRY. BOOK VI. ^ … nonal (*. 6.), FB : BT) : s BE : ED, and alternately (16. 5.). FB ,-BE :: BD : ED, or FB : BE : : AD : DE. But because FD : DA ::DA : DE, by division (17.3.)? FA : DA : : AE : ED, and alternately(li: 5.), F\ : AE :: da : ED. Now it has been shown that FB :BE : : AD : DE, therefore FB ; BE :: FA :…

Euclid's Elements · Geometry · Trigonometry

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