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An Inequality for the Pedal Simplex

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Abstract

In this paper, we improve an inequality on the volume of the pedal simplex.

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References

  1. Mao, Qiji and Zou, Quanru: A geometric inequality for simplex with tangent point as vertices, Math. Practice Theory 4 (1987), 71–75 (in Chinese).

    Google Scholar 

  2. Leng, G. S.: Some inequalities involving two simplexes, Geom. Dedicata 66 (1997), 89–98.

    Google Scholar 

  3. Su, H. M.: An inequality on simplex, Shuxue Tongbao 5 (1985), 43–46 (in Chinese).

    Google Scholar 

  4. 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).

    Google Scholar 

  5. Yang Shiming and Zhang Zhongfu: Generalization of Simson's theorem, Menemui Mat. 14 (1992), 48–52.

    Google Scholar 

  6. Bortos., P.: Sinusova veta o simplexoch vEn, Casopis Pest Math. 93 (1968), 273–277.

    Google Scholar 

  7. Eriksson, F.: The law of sines for tetrahedra and n-simplices, Geom. Dedicata 7 (1978), 71–80.

    Google Scholar 

  8. 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.

    Google Scholar 

  9. Hardy, G. H., Littlewood, J. E. and Polya, G.: Inequalities, Cambridge Univ. Press., 1934.

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Mingbao, S. An Inequality for the Pedal Simplex. Geometriae Dedicata 85, 45–51 (2001). https://doi.org/10.1023/A:1010315809260

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  • DOI: https://doi.org/10.1023/A:1010315809260

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