Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 92
, (g) p2cos2 0 = a2, (c) p = a (1 + cos 0), (li) P = a (cos 20 + sin 2 (9), (d) p2 = a2 cos 2 6, (i) p = a (1 + cos 2 0), (e) p = a — b cos 0, (,;) p = 2 a tan 0 • sin 0. CHAPTER VII THE CIRCLE 52. Equation. — The locus of points equidistant fromany fixed point is called a circle. Hence, to find… … Fig. 46. the radius of the circle.For the distance of anypoint (#, y) from the origin is Vx2 + y2. If the centre be taken at any point C, whose coordinatesare (a, /3), the distance CP from the centre to any variablepoint P is w(x — a)2 + (y — /3)2. Hence the equation ofthe circle is If the centre…
Geometry, Analytic
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