Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 89
let fall from the centre on the line must be equal to theradius of the circle. From Art. 21, Fig. 13, we have sec ) VI + tan.- y P Vi +« hence, a^ (1 4-s) = b . . . (1) is the required condition. CoR. 1. If we substitute the value of b drawn from (1) inthe equation y = sx -\- b, we have y ^ sx -^a… … Fig. 26. Let P {x, y) be the given point, and let PP, PT, be thetangents through it to the circle. THE CIRCLE. 75 It is required to deduce the equation of PP.The equation of a tangent through P (x, y) isxx . yy _ -I Since P (x, y) is on this line, its co-ordinates must satisfytlie equation; hence…
Geometry, Analytic
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