Abstract
The tangent point simplex Ω′ of a simplex Ω is the pedal simplex of the incenter of Ω. In this paper we obtain some geometric inequalities between Ω′ and Ω.
Similar content being viewed by others
References
Mao Qiji and Zou Quanru: A geometric inequality for simplex with tangent point as vertices. Math. Practice Theory 4 (1987), 71–75 (in Chinese).
Kalajdzic, G.: Some inequalities concerning a tetrahedron, Publ. Elektrotehn. Fak. Univ. Beograd. 320–328 (1970), 51–58.
Mitrinovic, D. S., Pecaric, J. E. and Volence, V.: Recent Advances in Geometric Inequalities, Kluwer Acad. Publ. Dordrecht, 1989.
Yang, S. G.: An inequality for a simplex and its applications, Geom. Dedicata 55 (1995), 195–198.
Yang, L. and Zhang, J. Zh.: A geometrical proof of an algebraic theorem, J. China Univ. Sci. Technol. 11 (1981), 127–130.
Sun M. B.: Some inequalities for two simplices, Geom. Dedicata, 85 (2001) 51–65 (this volume).
Fejes Toth, L.: Regular Figures, Pergamon Press, Oxford, 1964.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mingbao, S. Some Geometric Inequalities for a Tangent Point Simplex. Geometriae Dedicata 85, 119–123 (2001). https://doi.org/10.1023/A:1010349707927
Issue Date:
DOI: https://doi.org/10.1023/A:1010349707927