Advanced geometry for high schools : synthetic and analytical (1919)
McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 185
If the secant rotate about the point P until thesecond point Q approaches indefinitely near to P, thelimiting position PR of the chord is called a tangentto the curve at the point P. The point P is called the point of contact of thetangent PR. 80 ELEMENTARY ANALYTICAL GEOMETRY 74. To find the… … Fig. 35. Let Q (x2, y2) be another point on the circle.Then the equation of PQ is x ~ xi _ V ~Vi Xl ~ X2 V\ — Vl V P and Q are both on the circle, a) x\ + U\ — a<2>and, x22 + y2 = a2. :., subtracting, xx2 - x22 + y* — y22 = 0..*., (x, - x2) {xx + x2) + (y1 - y2) (Vl + y2) = 0 (2)Multiplying…
Geometry · Geometry, Analytic
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