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- W2159388734 abstract "In the so-called conformal model of Euclidean space of geometric algebra, circles receive a very elegant description by the outer product of three general points of that circle, forming what is called a tri-vector. Because circles are a special kind of conic section, the question arises, whether in general some kind of third order outer product of five points on a conic section (or certain linear combinations) may be able to describe other types of conic sections as well. The main idea pursued in this paper is to follow up a formula of Grassmann for conic sections through five points and implement it in the conformal model. Grassmann obviously based his formula on Pascal’s theorem. At the end we consider a simple linear combination of circle tri-vectors." @default.
- W2159388734 created "2016-06-24" @default.
- W2159388734 creator A5051974422 @default.
- W2159388734 date "2013-06-01" @default.
- W2159388734 modified "2023-09-28" @default.
- W2159388734 title "Conic Sections Through Five Points Classical, Projective, Conformal" @default.
- W2159388734 hasPublicationYear "2013" @default.
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