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 45
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:… … B C Wherefore, equal triangles, &c. PROP. XL. THEOR. EQUAL triangles upon equal bases, in the samestraight line, and towards the same parts, are betweenthe same parallels. Let the equal triangles ABC, DEF be upon equal bases BC,EF, in the same straightline BF, and towards thesame parts; they…
Euclid's Elements · Mathematics, Greek · Geometry
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