Advanced geometry for high schools : synthetic and analytical (1919)
McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 195
of contact of tangentsdrawn from an outside point to a circle is of the sameform as the equation of the tangent at a point on thecircle. This is in agreement with the fact that, if the pointP approach the circle and ultimately fall on it, thechord of contact becomes the tangent at P, or thetangent… … Through P draw any st. line cutting the circle atA, B. Draw tangents AQ, BQ intersecting at Q (X, Y). It is required to find the locus of Q. r^f By § 82, the equation of a£ isxx + yy = a2;and as the coordinates of P must satisfy this equationXx1 + Yyx = a2. :., as X, Y are the coordinates of any…
Geometry · Geometry, Analytic
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