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 44

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 44 — equal things are d 7. Ax. equal ^; therefore the triangle ABC is equal to the triangleDEF. Whprefore, triangles, 8cc. Q, E. D. PROP. XXXIX. THEOR. EQUAL triangles upon the same base, and uponthe same side of it, are between the same parallels. Let the equal triangles ABC, DBC be upon the same… … OF EUCLID. 43 ABC is equal •» to the triangle EBC, because it is upon the same Book I.base BC, and between the same paral-lels BC, AE: but the triangle ABC isequal to the triangle BDC ; thereforealso the triangle BDC is equal to thetriangle EBC, the greater to the less,which is impossible:…

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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