Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 206
o circles x2 + y2 = a2 and x2 + y2 — ax = 0are tangent internally. Find the locus of the centresof circles which are tangent to both the given circles. Ch. XIV] PROBLEMS IN LOCI 189 Let the two circles be drawn, and let (V, y) be thecentre of any circle which is tangent to both circles.Then the… … Fig. 94. Or f-v. x2 4- y2 4 + y 2 Squaring and reducing, the equation of the locus re-duces to 8 x2 + 9 y2 — 4 rx — 4 r2 = 0. What curve is thisand how is it situated? 14. Find the locus of the centres of all circles whichpass through the point (0, 3) and are tangent internallyto x2 + y2 = 25. 15.…
Geometry, Analytic
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