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The figure shows the circles O_{1} (radius r_{1}) and O_{2} (radius r_{2}) tangent at T and tangent to PA_{1} and PB_{1} at A_{1}, A_{2}, B_{1}, and B_{2}, respectively. If PA_{1} = d_{1} and PA_{2} = d_{2}, prove that (1); (2).

Home | Search | Geometry | Problems | All Problems | Open Problems | Visual Index | 1091-1100 | Circle | Tangent Line | Tangent Circles | Problem 454 | Geometric Mean | Email | Post a comment or solution | By Antonio GutierrezLast updated: Mar 10, 2015