Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 206
two circles x*^ -\- y^ = a^ and x^ -\- y^ — ax = 0are tangent internally. Find the locus of the centresof circles which are tans^ent to both the given circles. Ch. XIV] PROBLEMS IN LOCI 189 Let the two circles be drawn, and let (a:, y) be thecentre of any circle which is tangent to both… … Fig. 94. PO - or il-Vi^ y 4 i\ +/■• Squaring and reducing, the equation of the locus re-duces to 8 2;2 + 9 ?/2 — 4 ra; — 4 r^ = 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 a;2 + 2/2 =…
Geometry, Analytic
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