Metod otyskaniya centra i radiusa sfery, opisannoj okolo piramidy
The Teaching of Mathematics, XXIV (2021) no. 1, p. 36
Voir la notice de l'article provenant de 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 },
publisher = {mathdoc},
volume = {XXIV},
number = {1},
year = {2021},
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/