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 86
FGC is a right angle, GCF is a an acute a 17.1angle ; and to the greater angle the greatest ^ side is opposite : b 19.1 84 THE ELEMENTS Book III. therefore FC is greater than FG ; v.i-v-*^ but FC is equal to FB ; thereforeFB is greater than FG, the lessthan the greater, which is impos-sible ;… … a 18. 3. PROP. XIX. THEOR. IF a straight line touches a circle, and from thepoint of contact a straight line be drawn at right an-gles to the touching line, the centre of the circle shallbe in that line. Let the straight line DE touch the circle ABC in C, and fromC let CA be drawn at right angles…
Euclid's Elements · Mathematics, Greek · Geometry
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