APPLICATION OF DANDELIN’S THEOREM TO DRAWING CIRCLES IN PARALLEL PERSPECTIVE
Journal Title: Journal of Industrial Design and Engineering Graphics - Year 2017, Vol 12, Issue 2
Abstract
The paper analyses a problem of great theoretical importance in practice of perspective: thenature of the perspective of a circle from the horizontal plane according to the relative position betweenthe spectator plane (parallel to the picture plane) and the given circle. Depending on the position of theneutral 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 mobilepoint becomes the conical section made in the conical surface by the picture plane. The paper intends tohighlight the validity of Dandelin's theorem when putting a circle into perspective. A discussion ofexamples characteristic for this problem is offered. Several conclusions distinguish the main points andresults of the paper.
Authors and Affiliations
Daniel Dobre
Keywords
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