Metod otyskaniya centra i radiusa sfery, opisannoj okolo piramidy
The Teaching of Mathematics, XXIV (2021) no. 1, p. 36
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
The article proposes a method for finding the center and radius of the sphere circumscribed about a pyramid. The method is based on reducing the problem to finding the circumcenter and circumradius for a specially constructed triangle. The construction of this triangle is the same for all inscribed pyramids. For the calculation of radius minimal information about the pyramid is used---its height, the circumradius of its base and the distance from the circumcenter of the base to pyramid's height.
Classification :
97D50, 97G40 D54, D44
Keywords: Stereometry, problem solving, polyhedra, round figures, combination of figures.
Keywords: Stereometry, problem solving, polyhedra, round figures, combination of figures.
@article{TM2_2021_XXIV_1_a2,
author = {Aslanbek H. Naziev},
title = {Metod otyskaniya centra i radiusa sfery, opisannoj okolo piramidy},
journal = {The Teaching of Mathematics},
pages = {36 },
year = {2021},
volume = {XXIV},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TM2_2021_XXIV_1_a2/}
}
Aslanbek H. Naziev. Metod otyskaniya centra i radiusa sfery, opisannoj okolo piramidy. The Teaching of Mathematics, XXIV (2021) no. 1, p. 36 . http://geodesic.mathdoc.fr/item/TM2_2021_XXIV_1_a2/