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.
Herrera, B., & Tran, Q. H. (2022). An Analogue of Thébault’s Theorem Linking the Radical Center of Four Spheres with the Insphere and the Monge Point of a Tetrahedron. International Electronic Journal of Geometry, 15(1), 75-78. https://doi.org/10.36890/iejg.957190
AMA
Herrera B, Tran QH. An Analogue of Thébault’s Theorem Linking the Radical Center of Four Spheres with the Insphere and the Monge Point of a Tetrahedron. Int. Electron. J. Geom. April 2022;15(1):75-78. doi:10.36890/iejg.957190
Chicago
Herrera, Blas, and Quang Hung Tran. “An Analogue of Thébault’s Theorem Linking the Radical Center of Four Spheres With the Insphere and the Monge Point of a Tetrahedron”. International Electronic Journal of Geometry 15, no. 1 (April 2022): 75-78. https://doi.org/10.36890/iejg.957190.
EndNote
Herrera B, Tran QH (April 1, 2022) An Analogue of Thébault’s Theorem Linking the Radical Center of Four Spheres with the Insphere and the Monge Point of a Tetrahedron. International Electronic Journal of Geometry 15 1 75–78.
IEEE
B. Herrera and Q. H. Tran, “An Analogue of Thébault’s Theorem Linking the Radical Center of Four Spheres with the Insphere and the Monge Point of a Tetrahedron”, Int. Electron. J. Geom., vol. 15, no. 1, pp. 75–78, 2022, doi: 10.36890/iejg.957190.
ISNAD
Herrera, Blas - Tran, Quang Hung. “An Analogue of Thébault’s Theorem Linking the Radical Center of Four Spheres With the Insphere and the Monge Point of a Tetrahedron”. International Electronic Journal of Geometry 15/1 (April 2022), 75-78. https://doi.org/10.36890/iejg.957190.
JAMA
Herrera B, Tran QH. An Analogue of Thébault’s Theorem Linking the Radical Center of Four Spheres with the Insphere and the Monge Point of a Tetrahedron. Int. Electron. J. Geom. 2022;15:75–78.
MLA
Herrera, Blas and Quang Hung Tran. “An Analogue of Thébault’s Theorem Linking the Radical Center of Four Spheres With the Insphere and the Monge Point of a Tetrahedron”. International Electronic Journal of Geometry, vol. 15, no. 1, 2022, pp. 75-78, doi:10.36890/iejg.957190.
Vancouver
Herrera B, Tran QH. An Analogue of Thébault’s Theorem Linking the Radical Center of Four Spheres with the Insphere and the Monge Point of a Tetrahedron. Int. Electron. J. Geom. 2022;15(1):75-8.