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Selected propositions in geometrical constructions and applications of algebra to geometry. Being a key to the appendix of Davies' Legendre (1875)

Legendre, A. M. (Adrien Marie), 1752-1833, Davies, Charles, 1798-1876 · New York, Chicago [etc.] A.S. Barnes & company · leaf 26

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PR parallel to AB.Through A, B and C, draw perpendicu-lars to PQ, QR, and RP, meeting thesides of the given triangle in G, F, and E. Now, BQ and CA are equal, becausethey are parallels between parallels; for a like reason RB and AC areequal: hence, B is the middle point of QR. In like manner, C is…

Geometry

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