An Analogue of Thébault's Theorem Linking the Radical Center of Four Spheres with the Insphere and the Monge Point of a Tetrahedron

Blas HERRERA; Quang Hung TRAN

doi:https://doi.org/10.36890/iejg.957190

Article Details

An Analogue of Thébault's Theorem Linking the Radical Center of Four Spheres with the Insphere and the Monge Point of a Tetrahedron

Authors:

Blas HERRERA | Quang Hung TRAN

Publisher:

Kazım İLARSLAN

Main Topics:

Mathematics

Journal:

International Electronic Journal of Geometry 2022 Vol.15 Issue 1, pp.75-78

Document Type:

Article

Publication Date:

4/2022

Document Language:

English

Document ID (Org No.):

2000471484

Frequency:

Bi-Annual

eISSN:

1307-5624

DOI:

https://doi.org/10.36890/iejg.957190

Abstract:

 

In 1953, Victor Thébault conjectured a link between the altitudes of a tetrahedron and the radical center of the four spheres with the centers at the vertices of this tetrahedron and the corresponding tetrahedron altitudes as radii. This conjecture was proved in 2015. In this paper, we propose an analogue of Th\'{e}bault's theorem. We establish a link between the radical center of the four spheres, the insphere, and the Monge point of a tetrahedron.

Article Details

An Analogue of Thébault's Theorem Linking the Radical Center of Four Spheres with the Insphere and the Monge Point of a Tetrahedron

Authors: Blas HERRERA | Quang Hung TRAN

Publisher: Kazım İLARSLAN

Main Topics: Mathematics

Journal: International Electronic Journal of Geometry 2022 Vol.15 Issue 1, pp.75-78

Document Type: Article

Publication Date: 4/2022

Document Language: English

Document ID (Org No.): 2000471484

Frequency: Bi-Annual

eISSN: 1307-5624

DOI: https://doi.org/10.36890/iejg.957190

Issues

Authors:

Blas HERRERA | Quang Hung TRAN

Publisher:

Kazım İLARSLAN

Main Topics:

Mathematics

Journal:

International Electronic Journal of Geometry 2022 Vol.15 Issue 1, pp.75-78

Document Type:

Article

Publication Date:

4/2022

Document Language:

English

Document ID (Org No.):

2000471484

Frequency:

Bi-Annual

eISSN:

1307-5624

DOI:

https://doi.org/10.36890/iejg.957190