Abstract
In this paper, we improve an inequality on the volume of the pedal simplex.
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).
Leng, G. S.: Some inequalities involving two simplexes, Geom. Dedicata 66 (1997), 89–98.
Su, H. M.: An inequality on simplex, Shuxue Tongbao 5 (1985), 43–46 (in Chinese).
Zhang, Y.: A conjecture on the volume of simplex with feet of perpendicular as vertexes, J. Systems Sci. Math. Sci. 12 (1992), 371–375 (in Chinese).
Yang Shiming and Zhang Zhongfu: Generalization of Simson's theorem, Menemui Mat. 14 (1992), 48–52.
Bortos., P.: Sinusova veta o simplexoch vEn, Casopis Pest Math. 93 (1968), 273–277.
Eriksson, F.: The law of sines for tetrahedra and n-simplices, Geom. Dedicata 7 (1978), 71–80.
Leng, G. S. and Tang, L. H.: Some inequalities on the inradii of a simplex and of its faces, Geom. Dedicata 61 (1996), 43–49.
Hardy, G. H., Littlewood, J. E. and Polya, G.: Inequalities, Cambridge Univ. Press., 1934.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mingbao, S. An Inequality for the Pedal Simplex. Geometriae Dedicata 85, 45–51 (2001). https://doi.org/10.1023/A:1010315809260
Issue Date:
DOI: https://doi.org/10.1023/A:1010315809260