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An Elementary Proof of Feuerbach's Theorem

Published online by Cambridge University Press:  31 October 2008

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Let O be the centre of the circumscribing circle of ΔABC, A1 the middle point of BC, and EA1OF the diameter at right angles to BC. Draw AX perpendicular to BC and produce it to meet the circle in K. Let H be the orthocentre of ΔABC; join OH and bisect it in N, the centre of the nine-point circle.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1924