The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » Math Topics » geometry.puzzles

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

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

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Rouben Rostamian

Posts: 193
Registered: 12/6/04
Re: Three half-circles
Posted: Sep 6, 2011 8:51 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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!


Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.