The ellipse, parabola, and hyperbola as sections of a rotational cone with a plane

Authors

DOI:

https://doi.org/10.55630/mem.2026.55.198-204

Keywords:

descriptive geometry, parallel projection, plane sections of a rotational cone

Abstract

The paper examines problems illustrating the three main cases of sections of a rotational cone with a plane, solved by the methods of descriptive geometry. The examples are presented in cabinet projection and can be useful in illustrating results achieved by the means of analytical geometry and in teaching descriptive geometry to university students of engineering majors.

Author Biographies

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

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

Yana Kancheva, Dept. of Applied Geodesy, Faculty of Geodesy, University of Architecture, Civil Engineering and Geodesy, Sofia, Bulgaria

Department of Applied Geodesy
Faculty of Geodesy
University of Architecture, Civil Engineering and Geodesy
1, Hristo Smirnenski Blvd.
Sofia 1046, Bulgaria

References

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

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

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

Данаилова, Н., Велинова, Л., Колев, М., Аксонометрия, Курсови и изпитни задачи , УАСГ, ISBN 978-954-724-035-4 (2012). Danailova, N., Velinova, L., Kolev, M., 2012. Axonometry, Textbook , UACG (in Bulgarian)

Зарева, Ц., 2013. Учебно помагало по дескриптивна геометрия, Равнинни сечения, сенки, отвори,(2013) УАСГ, ISBN 978-954-724-064-3 Zareva, C., 2013. Descriptive geometry, Plane sections, shadows, perforations, Textbook , UACG,(in Bulgarian)

Published

2026-05-19

How to Cite

[1]
Parvanova, I. and Kancheva, Y. 2026. The ellipse, parabola, and hyperbola as sections of a rotational cone with a plane. Mathematics and Education in Mathematics. 55, (May 2026), 198–204. DOI:https://doi.org/10.55630/mem.2026.55.198-204.

Issue

Section

Section C: Education in Mathematics