APPLICATION OF DANDELIN’S THEOREM TO DRAWING CIRCLES IN PARALLEL PERSPECTIVE

  • Daniel Dobre, PhD University Politehnica of Bucharest, Department of Engineering Graphics and Industrial Design

Abstract

The paper analyses a problem of great theoretical importance in practice of perspective: the
nature of the perspective of a circle from the horizontal plane according to the relative position between
the spectator plane (parallel to the picture plane) and the given circle. Depending on the position of the
neutral line to the circle, the nature of the perspective of a point describing the circle can be determined,
because the corresponding visual radius generates a conical surface, and the perspective of the mobile
point becomes the conical section made in the conical surface by the picture plane. The paper intends to
highlight the validity of Dandelin's theorem when putting a circle into perspective. A discussion of
examples characteristic for this problem is offered. Several conclusions distinguish the main points and
results of the paper.

Published
2017-11-03
How to Cite
DOBRE, Daniel. APPLICATION OF DANDELIN’S THEOREM TO DRAWING CIRCLES IN PARALLEL PERSPECTIVE. JIDEG, [S.l.], v. 12, n. 2, p. 5-8, nov. 2017. ISSN 2344-4681. Available at: <http://www.sorging.ro/jideg/index.php/jid/article/view/384>. Date accessed: 20 sep. 2018.
Section
Articles