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Projection of the Semi-Axes of the Ellipse of Intersection
Computing Center, University of Technology Clausthal, Clausthal-Zellerfeld, Germany
- 1 Computing Center, University of Technology Clausthal, Clausthal-Zellerfeld, Germany
Applied Mathematics·Volume 08 (2017)·Pages 1320–1335·Published 5 September 2017·DOI10.4236/am.2017.89097
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Abstract
It is well known that the line of intersection of an ellipsoid and a plane is an ellipse (see for instance [1]). In this note the semi-axes of the ellipse of intersection will be projected from 3d space onto a 2d plane. It is shown that the projected semi-axes agree with results of a method used by Bektas [2] and also with results obtained by Schrantz [3].
KeywordsEllipsoid and Plane IntersectionProjection of the Semi-Axes of the Ellipse of Intersection
- Klein, P.P. (2012) On the Ellipsoid and Plane Intersection Equation. Applied Mathematics, 3, 1634-1640. https://doi.org/10.4236/am.2012.311226
- Bektas, S. (2016) On the Intersection of an Ellipsoid and a Plane. International Journal of Research in Engineering and Applied Sciences, 6, 273-283.
- Schrantz, G.R. (2004) Projections of Ellipses and Circles. Hamline University. (To be found in the internet)
- Bronshtein, I.N., Semendyayev, K.A., et al. (2007) Handbook of Mathematics. 5th Edition, Springer-Verlag Berlin Heidelberg.