The Weighted Fermat Triangle Problem
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2007-10-08
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We completely solve the generalized Fermat problem: given a triangle P1, P2, P3 and three positive numbers λ1, λ2, λ3, find a point P for which the sum λ1P1P+λ2P2P+λ3P3P is minimal.
We show that the point always exists and is unique, and indicate necessary and sufficient conditions for the point to lie inside the triangle.
We provide geometric interpretations of the conditions and briefly indicate a connection with dynamical systems.
American Psychological Association (APA)
Shen, Yujin& Tolosa, Juan. 2007. The Weighted Fermat Triangle Problem. International Journal of Mathematics and Mathematical Sciences،Vol. 2008, no. 2008, pp.1-15.
https://search.emarefa.net/detail/BIM-987882
Modern Language Association (MLA)
Shen, Yujin& Tolosa, Juan. The Weighted Fermat Triangle Problem. International Journal of Mathematics and Mathematical Sciences No. 2008 (2008), pp.1-15.
https://search.emarefa.net/detail/BIM-987882
American Medical Association (AMA)
Shen, Yujin& Tolosa, Juan. The Weighted Fermat Triangle Problem. International Journal of Mathematics and Mathematical Sciences. 2007. Vol. 2008, no. 2008, pp.1-15.
https://search.emarefa.net/detail/BIM-987882
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-987882
