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Elements of analytical geometry and of the differential and integral calculus (1866)

Davies, Charles, 1798-1876 · New York, Barnes & Co. · leaf 74

An illustration from Elements of analytical geometry and of the differential and integral calculus, 1866, leaf 74
lar equation of thecircle, when the pole is in the circumference. The equation of the circle, referred to rectangular co-or-dinates, when the origin is in the circumference, as at £\ (Art. 4—8), is, y^ z= 2Rx ^ x^ , ^ , , . (1.) BOOK n.] THE CIRCLE. 73 If B is the pole of thepolar co-ordinates, we… … we have. 2Er cos?; 0; which is the polar equation of the circle when the pole isat B\ and the angle v^ estimated from the axis of -Xl Interpretation of the equation. 13. Since the polar equation, r^ — 27?r cos v = 0, has no absolute term, one of the roots is equal to 0; *which ought to be the case,…

Geometry, Analytic · Calculus

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