Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 72
es are found and methods given for constructing thecurves. 45. The circle. A x>oint moves so that it is alivays r units fromajixecl jioint (a, 6). Find the equation of the locus. The locus is evidently a circlewhose radius is r and whosecenter is the point G = (a, h)(Fig. 35). To find the… … Fig. 35 and therefore GP = ^(-x-af + iy-by, (2) (ic-a)2+(I/-6)2 = ^2. (3) If the center of the circle is taken at the origin of coordinates. then a = 0 and b = 0, and equation (3) becomes a52 + ?/2 = /2. (4) Equations (3) and (4) are standard forms of the equation of acircle. The student should…
Geometry, Analytic
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