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Analytic geometry for colleges, universities, and technical schools (1892)

Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 141

An illustration from Analytic geometry for colleges, universities, and technical schools, 1892, leaf 141
tangency. Since P (x, y) is apoint common to both tangents, its co-ordinates must satisfytheir equations; hence, xx I yV _ ^a^ ~^ b- a^ b-^ Hence (x, y) and (x2,2/2) will satisfy the equation ^ + ^/ = 1 . . . (1)cr b- 126 PLANE ANALYTIC GEOMETRY. As (1) is the equation of a straight line, and is… … Fig. 42. By the aid of Fig. 42, and a course of reasoning similar tothat of Art. 49, the equation of PiP, the polar to P, may be.shown to be xx . yy ^ ^ CoR. If the polar of the point P (x, y) passes throughPi {^1, y\), then the polar of Pi {x^, y^) will pass throughP (x, y). (See Art. 50.) 94. To…

Geometry, Analytic

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