- The following paper has been published in Forum Geometricorum. It can be

viewed at

http://forumgeom.fau.edu/FG2003volume3/FG200315index.html

The Editors,

Forum Geometricorum

============================================================

Alexei Myakishev, The M-configuration of a triangle,

Forum Geometricorum 3 (2003) 135--144.

Abstract: We give an easy construction of points A_a, B_a, C_a on the sides

of a triangle ABC such that the figure M path BC_aA_aB_aC consists of 4

segments of equal lengths. We study the configuration consisting of the

three figures M of a triangle, and define an interesting mapping of

triangle centers associated with such an M-configuration.

[Non-text portions of this message have been removed] - Paul Yiu wrote:

>> http://forumgeom.fau.edu/FG2003volume3/FG200315index.html

In this article, Alexei Myakishev wrote:

>> ============================================================

>>

>> Alexei Myakishev, The M-configuration of a triangle,

>>

>> Forum Geometricorum 3 (2003) 135--144.

>> Proposition 1. The lines AAa, BBa, CCa concur at the point

Wonderful theorem; although, I believe, the lines should be

>> with homogeneous barycentric coordinates

AAa, BBb, CCc correctly.

>> It follows by Ceva's theorem that the lines AAa, BBa, CCa

The same correction as above.

I fear that it is not shown that an M figure exists (it

shouldn't be difficult, but it isn't obvious).

Best regards,

Sincerely,

Darij Grinberg