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 408

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 408 — e equal to the angles BAC, BAD ; and the anglesFGH, FGK equal to the angles ABC, ABD, each to each.Therefore the triangles ABC, ABD are equiangular to the tri-angles FGH, FGK, each to each. Through the point H drawHL parallel to FG meeting KF produced in L. And becausethe angles BAC, BAD are equal… … ^ DATA. 40r tias CA to AB, so HF to FG ; and as BA to AD, so is GF to FK; whei-efore, ex aguali, as EA to AD, so is LF to FK. But,as was shown, the triangle ABC is to the triangle ABD, as thestraight line EA to AD, that is, as LF to FK. The ratio there-fore of LF to FK has been found, which is the…

Euclid's Elements · Mathematics, Greek · Geometry

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More pictures 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

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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