NON-CONCURRENT CEVIANS
FORMING SUBTRIANGLES.
© 2004-2009. RAIMOND A. STRUBLE, PhD.
DRAFT COPY ONLY.
9/27/2009.
© Raimond A. Struble.
Send comments and correspondence to: Raimond A. Struble,
P. O. Box 50376, Raleigh, NC 27650-6376
and emails to: George.Moore4@va.gov
Problem:
As any three non-concurrent cevians of a triangle from an internal
subtriangle, determine the non-concurrent cevians forming subtriangles
where centroids are coincident with the centroid of the primary triangle.
Show that these subtriangles can be constructed synthetically.
Submitter's comments:
The desired non-concurrent cevians pass through the vertices of homeothetic
subtriangles with vertices lying along the medians.
Last updated: 9/27/2009, by Raimond A. Struble, PhD.