Circumsphere and Insphere of a Polyhedron

Authors

DOI:

https://doi.org/10.55630/mem.2025.54.173-179

Keywords:

descriptive geometry, orthogonal projection, plane section of a sphere

Abstract

The article considers several tasks for circumsphere and insphere of a prism and a pyramid using the methods and tools used in descriptive geometry. The examples shown are executed in orthogonal axonometry and can be used to construct drawings illustrating the solution of a number of problems in stereometry.

Author Biographies

Irena Parvanova, Department of Applied Mathematics and Informatics, Technical University of Sofia, Sofia, Bulgaria

Faculty of Applied Mathematics and Informatics
Technical University of Sofia
8, Kliment Ohridski Blvd., bl. 2
1000 Sofia, Bulgaria

Vencislav Radulov, Faculty of mining electromechanics, University of Mining and Geology, Sofia, Bulgaria

Faculty of mining electromechanics
University of Mining and Geology
1, Prof. Boyan Kamenov Str.
Sofia, Bulgaria

References

В. Радулов, И. Първанова. Ръководство по дескриптивна геометрия, Равнинни сечения, (2006) УАСГ, ISBN 13978-954-724-031-5 [V. Radulov, I. Parvanova., 2006. Descriptive geometry, Plane sections, Textbook, UACG, (in Bulgarian)]

В. Радулов, И. Първанова. Ръководство по дескриптивна геометрия, Равнинни сечения, (2012) Регалия 6, ISBN 978-954-745-220-6 [V. Radulov, I. Parvanova. Descriptive geometry, Plane sections, Textbook, Regalia 6, (in Bulgarian)]

Д. Чорбаджиев. Дескриптивна геометрия, УАСГ, (1992). [D. Chorbadgiev. 1992. Descriptive geometry, UACG (in Bulgarian)]

Published

2025-03-27

How to Cite

[1]
Parvanova И. and Radulov В. 2025. Circumsphere and Insphere of a Polyhedron. Mathematics and Education in Mathematics. 54, (Mar. 2025), 173–179. DOI:https://doi.org/10.55630/mem.2025.54.173-179.

Issue

Section

Section C: Education in Mathematics