The Elements of Euclid : viz. the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, the book of Euclid's Data, in like manner corrected (1806)
Euclid, Simson, Robert, 1687-1768, Euclid. Elements. Book 11-12. English. 1806, Euclid. Data. English. 1806, Simson, Robert, 1687-1768. Notes, critical and geometrical. 1806, Simson, Robert, 1687-1768. Elements of plane and spherical trigonometry. 1806 · Philadelphia : Published by Mathew Cary, and sold by J. Conrad & Co., S.F. Bradford, Birch & Small, and Samuel Etheridge, printed by T. & G. Palmer ... · leaf 460
ause BC cuts off from the circleABC given in magnitude the seg-ment BAC contaiiting a given an-a91.dat. S® BC is therefore given» inmagiiitude: by the same reason.BD is given, because the angleBad is equal to the given angleEAF : therefore the ratio of BC toBD is given: and because the an-gle CAE… … DATA. 4i9 GC is the excess of BA, AC ; and because the angle BGC isequal to GAE, that is, to EAF, or the angle BAD ; and thatthe angle BCG is equal to the opposite interior angle BDA ofthe quadrilateral BCAD in the circle ; therefore the triangleBGC is equiangular to BDA : therefore as GC to CB, so…
Euclid's Elements · Mathematics, Greek · Geometry
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