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 404
DEF the angles ABC,DEF are equal, and the sides BA, AC,and ED, DF about two of the otherangles proportionals, the triangle ABCis similar m to the triangle DEF. In thesame manner, the triangle ABL is simi-lar to DEK. And the triangles DEF,DEK are given in species ; therefore al-so the triangles ABC,… … 45. PROP. XLVIII. IF a triangle has one angle given, and if both thebides together about that angle have a given ratio tothe remaining side; the triangle is given in species. Let the triangle ABC have the angle BAC given, and let the sides BA, AC together about that angle have a given ratio to BC ;…
Euclid's Elements · Mathematics, Greek · Geometry
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
![An illustration from Nicolai Copernici Torinensis De reuolutionibus orbium coelestium, libri VI : Habes in hoc opere iam recens nato, & aedito, studiose lector, motus stellarum, tam fixarum, quàm erraticarum, cum ex ueteribus, tum etiam ex recentibus obseruationibus restitutos: & nouis insuper ac admirabilibus hypothesibus ornatos. Habes etiam tabulas expeditissimas, ex quibus eosdem ad quoduis tempus quàm facillime caculare poteris. Igitur eme, lege, fruere. [Line in Greek] (1543)](https://img.insideoutlibrary.com/img/200/ia-nicolaicopernici00cope-42-20.webp)
