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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)

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 28

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 28
and the triangle AEB to the triangle CEF, and the remaining angles to the re-maining angles, each to each, to which the equal sides are oppo-site ; wherefore the angle BAE is equal to the angle ECF; butthe angle ECD is greater than the angle ECF; therefore theangle ACD is greater than BAE: in the… … PROP. XVn. THEOR. ANY two angles of a triangle are together lessthan two right angles. al6.1. Let ABC be any triangle ; anytwo of its angles together are lessthan two right angles. Produce BC to D; and be-cause ACD is the exterior angleof the triangle ABC, ACD isgreater * than the interior…

Euclid's Elements · Mathematics, Greek · Geometry

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