Document Type
Article
Original Publication Date
1999
Journal/Book/Conference Title
International Journal of Mathematics and Mathematical Sciences
Volume
22
Issue
2
DOI of Original Publication
10.1155/S0161171299224234
Date of Submission
August 2014
Abstract
The Gergonne point of a triangle is the point at which the three cevians to the points of tangency between the incircle and the sides of the triangle are concurrent. In this paper, we follow Koneĉný [7] in generalizing the idea of the Gergonne point and find the convex coordinates of the generalized Gergonne point. We relate these convex coordinates to the convex coordinates of several other special points of the triangle. We also give an example of relevant computations.
Rights
Copyright © 1999 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Is Part Of
VCU Mathematics and Applied Mathematics Publications
Comments
Originally published at
http://dx.doi.org/10.1155/S0161171299224234