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Elements of geometry and trigonometry (1835)

Legendre, A. M. (Adrien Marie), 1752-1833, Brewster, David, Sir, 1781-1868, Davies, Charles, 1798-1876 · New York, Wiley & Long · leaf 192

An illustration from Elements of geometry and trigonometry, 1835, leaf 192
ere, thetriangle DFE ; then will thepoints D, E, and F, be respec-tively poles of the sides BC,ACAB. For, the point A being thepole of the arc EF, the dis-tance AE is a quadrant ; thepoint C being the pole of the arc DE, the distance CE is likewise a quadrant : hence the point E is removed the… … Cor. Hence the triangle ABC may be described by meansof DEF, as DEF is described by means of ABC. Triangles80 described are called polar triangles, or supplemental tri-angles. BOOK IX. 193 PROPOSITION VIII. THEOREM. The same supposition continuing as in the last Proposition, eachangle in one of the…

Trigonometry · Geometry

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