Abstract
We provide two families of vector formulas that determine the radical center of four spheres. As some applications, we show formulas for points in similar situations to those of the Monge point, provide new geometric results for radical centers, and we give a new proof of a conjecture by Victor Thébault from 1953.
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Blas Herrera is a geometer who obtained his Sc.D. in Mathematics at the University Autònoma of Barcelona in 1994. Presently, he is a full professor of applied mathematics at the University Rovira i Virgili of Tarragona.
Quang Hung Tran received a bachelor of science degree in pure mathematics in 2008 and a master’s degree in pure mathematics (in 2011) from the Vietnam National University. He is a geometry teacher at the High School for Gifted Students (HSGS) of Vietnam National University at Hanoi.
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Herrera, B., Tran, Q.H. On the Radical Center of Four Spheres. Reson 28, 1263–1279 (2023). https://doi.org/10.1007/s12045-023-1661-x
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DOI: https://doi.org/10.1007/s12045-023-1661-x