Gore, James Howard, 1856-1939 · New York, Longmans, Green, and co. · leaf 73
heywill divide the angle AOB into 3 parts which (by 145) areequal, and BOC into 4 parts which are equal. mv f /.AOB 3 Therefore - — — /LBOC 4 OON ZAOB axcAB Hence (by 28) ___ = _- Q.E.D. 60 PLANE GEOMETRY. [BK. II. CASE II. When the arcs are incommensurable. If the arcsAB and BC are… … Z COG arc CC Now CB is the limit of the arc, and Z COB is the limit ofthe angle, therefore since the ratio of the angles is equal to theratio of the arcs at different stages of their variation, then(by 171) their limits will have the same ratio, that is, Z.AOB arc AB Q.E.D. Z BOC arc BC 174.…
Geometry
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