10920Re: [EMHL] Feuerbach and pedal triangles
- Dec 1, 2004Dear Eric,
[ED]: I conjecture the following generalization:
>Let O be the circumcenter and I the incenterApart from the OI line, there is also the line containing X(36) and its
>The perpendiculars from each excenter to the line joining the
>Feuerbach point with the corresponding vertex of the pedal triangle
>of any point on OI are concurrent.
>The following questions intrigue me:
>==> what is the locus of the perspectors ?
>==> is OI the only set of points with this property?
isogonal conjugate X(80).
X(36) is the inversive image of I in the circumcircle.
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