The locus of points that have a given ratio of distances $$k=\frac{d_1}{d_2}$$ to two given points is the Apollonius circle.
What is the locus of points where $$\frac{d_1^a}{d_2}$$ is constant for some $a>0$?
2026-03-26 06:26:05.1774506365
Generalized Circles of Apollonius
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