Gore, James Howard, 1856-1939 · New York, Longmans, Green, and co. · leaf 64
ight line is drawn so as to satisfyany two of the following conditions: 1. Passing through the centre, 2. Perpendicular to the chord, 3. Bisecting the chord, 4. Bisecting the less subtended arc, 5. Bisecting the greater subtended arc, it will also satisfy the remaining conditions. § 149.] THE… … In the circle ABEC let the chord AB equal the chord CF,and the chord CE be less than the chord CF. Let OP, OH,and OK be perpendiculars drawn to these chords from thecentre 0. To prove that OP= OH, and that OK> OP or OH.Join OA and OC. 1. The right triangles OAP and OCH have by hypothesisAP = CH,…
Geometry
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