KoG, Vol. 12. No. 12., 2008.
Stručni rad
On Axonometric Projection of the Contour of a Sphere
Marco Hamann
; Technical University of Dresden, Dresden, Germany
Sažetak
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.
Ključne riječi
Axonometric projection of a sphere; ellipse of contour; theorem of Pascal; conic
Hrčak ID:
31456
URI
Datum izdavanja:
23.1.2009.
Posjeta: 2.052 *