Specifically, we are looking for the inner circle tangent to the two lines having center G, for which an outer circle centered on G with radius larger by T passes through point P. This is similar to an Apollonius LLP-Problem. Geometric solutions only please, no algebra! Problem depiction
2025-01-13 02:08:17.1736734097
How does one find the circle in the following Apollonius-similar problem?
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I assume that two lines, point P and distance T are given. Then the stated problem is equivalent to the Apollonius CLL-problem, where the circle has center P and radius T and must be touched from the outside. This problem can then be reduced to the Apollonius LLP-problem by shifting the lines by distance T and using the original point P.