Journal of Humanities & Social Sciences(JHSS)
ISSN: 2690-0688 | DOI: 10.33140/JHSS
Impact Factor: 1.1
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Solving Apollonius’ Problem Through Relativity
Abstract
Christiaan Mantz Amsterdam
We solve the problem of Apollonius by applying the Lorentz transformation within the framework of special relativity to go to a frame of simultaneity, where the solutions are the circumcenter. We transform back to get the solutions in a general frame. We show that the solutions in a general frame are the foci of the ellipse going through the centers of the given 3 circles.