Elements of geometry : containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids : to which are added, Elements of plane and spherical geometry (1826)
Playfair, John, 1748-1819, Euclid · Philadelphia : Marot & Walter · leaf 249
BEF. Let A and B be two points in the circle ABEF, on oppo-site sides of the point D, and letj) be nearer to A than to B, and letC be any point in the circle GHDbetween H and D. Tlnough thepoints A and C, B and C, let thearches AC and BC be drawn, andlet them be produced till they meetthe circle… … SPHERICAL TRIGONOMETRY. ^9 |. Now because CE is nearer to the arch CHG than CB is, CE iscjreater than CB, and therefore CE and C A are greater than CB andCA, wherefore CB and CA are less than a semicircle: hut becauseAD, is by supposition less than DB, AC is also less than CB, (13.),and therefore…
Euclid's Elements · Geometry · Trigonometry
Internet Archive · Public Domain Mark 1.0. Free to use for anything.