The Journal of the Indian Mathematical Society

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An Elementary Proof of Feuerbach's Theorem


     

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Let O be the centre of the circum-circle of the ΔABC, A1 the midpoint of BC and EA1 OF the diameter perpendicular to BC. Draw AX perpendicular to BC and in it take H, the ortho-centre of the Δ : produce AX to meet the circumcircle in K.
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  • An Elementary Proof of Feuerbach's Theorem

Abstract Views: 223  |  PDF Views: 0

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Abstract


Let O be the centre of the circum-circle of the ΔABC, A1 the midpoint of BC and EA1 OF the diameter perpendicular to BC. Draw AX perpendicular to BC and in it take H, the ortho-centre of the Δ : produce AX to meet the circumcircle in K.