An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 187
thepairs of straight lines connecting the point to the three pairs ofopposite vertices of a tetragram circumscribed to the circle, form apencil in involution. 170 INVOLUTION PROPERTY OF A If OP, OP be the tangents from 0 to the circle, and i{ A, A;B, B; C, C be the pairs of opposite vertices of a… … =»° If r denote the radius of the circle, and a the perpendicularfrom G on AO, this result may be written, G0\ sin A OP. sin A OP =0^-7^. Let a denote the perpendicular from G on OA, and p theperpendicular on AA, then we shall have : sin^OP .sin^OP: sin^OP.sin^OP= a-r=: a=-r=,siuAAB.siaAAB : sin…
Geometry
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