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 80
TS Book III. join FA, AG: and because F is the centre of the circle ABC,*—Y-. AF is equal to FC : also, ^ E because G is the centre of the circle ADE, AG is e- qual to GD: therefore FA, AG are equal to FC, DG; wherefore the whole FG is greater than FA,a 20.1. AG: but it is also less*; which is… … PROP. XIII. THEOR. See N. ONE circle cannot touch another in more pointsthan one, whether it touches it on the inside oroutside. For, if it be possible, let the circle EBF touch the circle ABC in more points than one, and first on the inside, in the points a 10111. B, D; join BD, and draw* GH…
Euclid's Elements · Mathematics, Greek · Geometry
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
