Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 94
uation of the figure. Let the pole A referred to the rectangular coordinates be(m, n), 6 the angle made by the polar axis with the X-axis.Then X = AD = m + r cos (6 + 6), y = PD = n + r sin (d + 6). When the pole is at the origin,and the polar axis coincides withthe X-axis, these formulas be-come X… … 80 ANALYTIC GEOMETRY gular coordinates x and y of the same point; substitute in thepolar equsition F(r, 6) = 0, and the resulting equation/(a;, ?/)=:0is the rectangular equation of the curve.From the figure X — m r = y/{x - my +{y- w)^ cos (6 + 6) =sin(^ + ^)- •~ ^{x - mf + (2/ - ?0 V(.x-m/+(y-n)^…
Geometry, Analytic
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