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 424

An illustration from 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, leaf 424 — E, LMO are equal, because the angle ABK is equal toNLlNI; therefore the triangles BKE, LMO are equiangular toone another ; wherefore as BE to BK, so is LO to LM ; andbecause as the figure BF to BD, so is the straight line LMto P ; and as BD to BG, so is P to Q ; ex xquali, as BF,that is Miirl to… … DATA. 43» fore, ex aquali, as BE to BA, so is LO to R, that is to LN ;and the angles ABE, NLO arc equal ; therefore the parallelo-gram BF is similar to LS. PROP. LXX. 62, ra IF two straight lines have a given ratio to one ano-SeeNote,thcr, and upon one of them be described a rectihiiealfigure given…

Euclid's Elements · Mathematics, Greek · Geometry

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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)

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