Professional paper

On Axonometric Projection of the Contour of a Sphere

Marco Hamann ; Technical University of Dresden, Dresden, Germany

Abstract

The present article refers to a question that arose during the lecture of descriptive geometry for undergraduate students in the fields of geodesy and cartography: If the axonometric projection of the contour of a sphere is constructed with the help of the cutting method (L. Eckhart, 1937), the pairs of contour points with regard to the
cutting directions of two non-associated auxiliary projections determine two in general non conjugate diameters and
their conjugate directions of the ellipse of contour. Conversely an ellipse is in general overdetermined by two given diameters and their conjugate directions. The theorem of Pascal can be deduced from the figure of construction whereby the construction of the ellipse of contour is considered from a planar point of view.

Keywords

Axonometric projection of a sphere; ellipse of contour; theorem of Pascal; conic

Hrčak ID:

31456

URI

https://hrcak.srce.hr/31456

Publication date:

23.1.2009.

Article data in other languages: croatian german

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