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 204
right»angles with every straight line which meetsit, and is in that plane : but BD, BE, whichare in that plane, do each of them meet AB.Therefore each of the angles ABD, ABE isa rigiit angle: for the same reason, each ofthe angles CDB, CDE is a right angle :and because AB is equal to DE, and… … b4.1. OF EUCLia 203 to ED, DA ; and, in the triangles ABE, EDA, tlfc base AE is BookXI,common ; therefore the angle ABE is equal «= to the angle EDA : *>—v—♦but ABE is a right angle; therefore EDA is also a right angle, c 8.1.and ED perpendicular to DA : but it is also perpendicular to eaqhof…
Euclid's Elements · Mathematics, Greek · Geometry
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.