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The figure below shows the circles O_{1} (radius r_{1}) and O_{2} (radius r_{2}). A_{1}A_{2} and B_{1}B_{2} are the common external tangents and CD is a common internal tangent. Prove that r_{1}.r_{2} = A_{1}C.A_{2}C.

Home | Search | Geometry | Problems | All Problems | Open Problems | Visual Index | 1091-1100 | Circle | Tangent Line | Email | Post a comment or solution | By Antonio GutierrezLast updated: Mar 14, 2015