us, show that the centre of the circle occupies one of two positions. When does the construction become impossible? BOOK IV. Chords and Radius-Yectges. 167 Proposition IV. Theorem. If one end of a straight line be fixed and theother end move on the circumference of a circle,the line is greatest… … Let A be the fixed end of the line, aud CFB the circleon the circumference of which tlie other end moves. Then the line is greatest in the position AB when itcontains the centre, 0, and least in the position AC ivhen,on being produced, it passes through the centre; and asthe moving end of the line…
Geometry · Geometry, Plane
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