The Journal of the Indian Mathematical Society

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Feuerbach's Theorem


     

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ABC is a triangle, AC<AB, S its circum-centre, O ortho-centre, N the nine-point-centre and I its inoentre. M is the midpoint of BC. AO is joined and produced, if necessary to meet BC in E. AI is joined and produced. AC is produced to L making AL=AB.
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  • Feuerbach's Theorem

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Abstract


ABC is a triangle, AC<AB, S its circum-centre, O ortho-centre, N the nine-point-centre and I its inoentre. M is the midpoint of BC. AO is joined and produced, if necessary to meet BC in E. AI is joined and produced. AC is produced to L making AL=AB.