Smart, Edward Howard · London : Macmillian and Co. · leaf 201
ES 173 (4) If UVW be a triangle formed by tangents, its circum-circle will pass through S. For, considering the tangents fromV, we have by the preceding, angle SVW = angle SPV. But SUW was proved equal to this angle. .*. SUVW is a cyclic quadrilateral. § 9. The Director Circle. The locus of a point… … Pig. 91a. the foci, viz. Y, Y, Z, Z, lie on the auxiliary circle. Moreover, SYTZ, SYTZ are rectangles, and TY . TY = SZ . SZ = BC^. Also TY. TY = square of tangent from T to the auxiliary circle = CT^ - sq. of radius of aux. 0 (for the ellipse), but = sq. of radius of aux. O - CT^ (for the…
Geometry, Projective
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