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 422
iven angle AKB or FEli :and because the ratio of AB to EF is given, make the ratio ofNO to P the same : also make the ratio of P to Q the same withthe given ratio of BC to FG, the parallelogram AC is to EG, asrvIO to Q. Because the angle KAB is equal to the angle MNO, andthe angle AKB rquul to the… … DATA. 4&i to Q, and the parallelograms KC, EG are equiangular; there-fore, as was shown in prop. 67, the parallelogram KC, that is,AC, is to EG, as MO to Q. 71. Cor. 1. If two triangles ABC, DEF have two equal angles^or two unequal, but given angles, ABC, DEF, and if the ratiosof the sides…
Euclid's Elements · Mathematics, Greek · Geometry
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
