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 221
equal to MX, XN, and the base DF to the base MN, the Book XI.angle MXNT is equal ^ to the angle DEF: and it has been prov- ^-v—•>ed that it is greater than DEF, which is absurd. Therefore AB d 8.1.is not equal to LX. Nor yet is it less; for then, as has beenproved in the first case, the angle… … And because CB is equal to GH; CB, BP are equal to GH, HK,each to each, and they contain equal angles; wherefore thebase CP is equal to the base GK, that is, to LN. And in theisosceles triangles ABC, MXL, because the angle ABC is great-er than the angle MXL, therefore the angle MLX at the base…
Euclid's Elements · Mathematics, Greek · Geometry
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