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Geometrical Proof of the Tangency of the Inscribed and Nine-Point Circles

Published online by Cambridge University Press:  20 January 2009

William Harvey
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S (fig. 85) is the circumscribed centre, and O the orthocentre of the triangle ABC; AX the perpendicular from A on BC, and P the middle point of BC.

SP produced bisects the arc BC in V, and I, the centre of the inscribed circle, lies on AV, and is so situated that AI.IV = 2Rr. (See Note). Also the angle XAV = angle AVS = angle SAV

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 5 , February 1886 , pp. 102 - 103
Copyright
Copyright © Edinburgh Mathematical Society 1886