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 223
reason, in the trianglesKAL, MBN, KL is equal to MN, and AL to BN: and in thetriangles LAD, NBG, LA, AD are equal to NB, BG, and theycontam equal angles; therefore the base LD is equal <= to the c 4.1base NG. Lastly, in the triangles KLD, MNG, the sides DK,KL are equal to GM, MN, and the base LD… … 222 THE ELEMENTS Book XI. to the plane FBH, which planes have therefore the same incli-*—V—^ nation » to one another: and in the same manner it may be de-a 7. monstrated, that the other planes in which the equal angles are dof. 11. Yiave the same inclination to one another. Therefore, if two so-lid…
Euclid's Elements · Mathematics, Greek · Geometry
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