CONCURRENT CEVIANS.
© 2004-2009. RAIMOND A. STRUBLE, PhD.
DRAFT COPY ONLY.
9/27/2009.
© Raimond A. Struble.

Professor Emeritus
Department of Mathematics
North Carolina State University at Raleigh
Raleigh, NC.
This manuscript: http://www.infiniteproduct.info/struccev.htm
Curriculum Vitae: http://www.infiniteproduct.info/strublcv.htm

Send comments and correspondence to: Raimond A. Struble, P. O. Box 50376, Raleigh, NC 27650-6376
and emails to: George.Moore4@va.gov

Problem: Prove that the perpendiculars at the concurrency point of three cevians of a triangle, intersect edge extensions at three collinear points. (One point may be at infinity.)

Submitter's comments: I do not now know of a proof for this problem when the intersections fall upon different edge extensions. However, for many of the concurrent points, the conclusion follows immediately from the fact that the three intersections fall upon a single edge-line. I trust that some solvers will supply a proof for the interesting cases.
Last updated: 9/27/2009, by Raimond A. Struble, PhD.