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 106
becauseHyVG touches the cir-cle ABC, and AC isdrawn from the pointof contact, the anglePL\C is equal c to theangle ABC in the alter-nate segment of the cir-cle : but HAC is equal to the angle DEF ; therefore also the an-gle ABC is equal to DEF : for the same reason, the angle ACBis equal to the… … PROP. HI. PROB. ABOUT a given circle to describe a triangle equi-angular to a given triangle. Let ABC be the given circle, and DEF the given triangle; itis required to describe a triangle about the circle ABC equiangu-lar to the triangle DEF. Produce EF both ways to the points G, H, and find the…
Euclid's Elements · Mathematics, Greek · Geometry
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