Metod odredjivanja centra i poluprečnika sfere opisane oko piramide
Nastava matematike, LXVI (2021) no. 3-4, p. 65
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{NM_2021_LXVI_3-4_a1,
author = {Aslanbek H. Naziev},
title = {Metod odredjivanja centra i polupre\v{c}nika sfere opisane oko piramide},
journal = {Nastava matematike},
pages = {65 },
year = {2021},
volume = {LXVI},
number = {3-4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/NM_2021_LXVI_3-4_a1/}
}
Aslanbek H. Naziev. Metod odredjivanja centra i poluprečnika sfere opisane oko piramide. Nastava matematike, LXVI (2021) no. 3-4, p. 65 . http://geodesic.mathdoc.fr/item/NM_2021_LXVI_3-4_a1/