Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 1, pp. 305-307
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I. Kh. Sabitov. The polyhedron's volume as a function of length of its edges. Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 1, pp. 305-307. http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a18/
@article{FPM_1996_2_1_a18,
author = {I. Kh. Sabitov},
title = {The polyhedron's volume as a function of length of its edges},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {305--307},
year = {1996},
volume = {2},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a18/}
}
TY - JOUR
AU - I. Kh. Sabitov
TI - The polyhedron's volume as a function of length of its edges
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1996
SP - 305
EP - 307
VL - 2
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a18/
LA - ru
ID - FPM_1996_2_1_a18
ER -
%0 Journal Article
%A I. Kh. Sabitov
%T The polyhedron's volume as a function of length of its edges
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1996
%P 305-307
%V 2
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a18/
%G ru
%F FPM_1996_2_1_a18
It is shown that the volume of a sphere type polyhedron may be calculated as a root of a polynomial with coefficients depending only on the polyhedron's metric and hence for these polyhedra the volume invariance hypothesis is established.