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Topic: Three half-circles
Replies: 4   Last Post: Sep 6, 2011 8:51 PM

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Rouben Rostamian

Posts: 193
Registered: 12/6/04
Re: Three half-circles
Posted: Sep 6, 2011 8:51 PM
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Avni Pllana wrote:

> Let D1, E1, F1 be the projections on the xy-plane of
> the respective touching points of the half-circles
> with the tangent plane. The lines DD1, EE1, FF1 are
> concurrent at the symmedian point X(6) of triangle
> DEF. Furthermore, the intersection of the tangent
> plane with the xy-plane coincides with the tripolar
> line of the symmedian point.

I have verified independently that DD1, EE1, FF1 are
concurrent in the general case. You have gone
quite a bit beyond in identifying the intersection
point and the trace of the tangent plane. Good job!


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