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Elements of geometry and trigonometry. Revised and adapted to the course of mathematical instruction in the United States (1856)

Legendre, A. M. (Adrien Marie), 1752-1833, Davies, Charles, 1798-1876 · New York : A.S. Barnes · leaf 237

An illustration from Elements of geometry and trigonometry. Revised and adapted to the course of mathematical instruction in the United States, 1856, leaf 237
;the point C being the poleof the arc BE, the distanceCE is likewise a quadrant:hence, the point E is re-moved the length of a quad-rant from each of the pointsA and C\ hence, it is the pole of the arc AG (p. 3, c. 2). It may be shown by simi-lar reasoning, that B is the pole of the arc BC^ and… … PROPOSITION VI. TIIEOKEil. The same siqiposiiion continuing as in the last Proj^sifiorijeach angle in one of iJie triangles, tvill he measured hy asemicircumference, minus tlie side lying opptosite to it in thtother triangle. For, produce the sidesAB, AC, if necessary, tillthey meet EF, in G and…

Geometry · Trigonometry

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