The elements of Euclid for the use of schools and colleges : books I., II., III. (1876)
Todhunter, I. (Isaac), 1820-1884 · Toronto : Copp, Clark · leaf 95
AB. AB shall touch the circle BCD. For, because E is the centre of the circle AFG, EA 1?equal to EF. [I. Definition 15. And because E is the centre of the circle BCD, EB isequal to ED. [I. Definition 15. Therefore the two sides AE, EB are equal to the two sidesFE, ED, each to each; and the angle at… … BOOK III. 17, 18. 91 therefore the ansrle ABE is equal to the angle FDE.But the angle FDE is a right angle; [Construction. therefore the angle ABE is a right angle. [Aodom 1. And EB is drawn from the centre; but the straight linedrawn at right angles to a diameter of a circle, from theextremity of…
Geometry · Euclid's Elements · Mathematics, Greek
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