Proper quadrics in the Euclidean $n$-space
\'Akos G.Horv\'ath
TL;DR
This paper explores the metric properties of quadrics and cones in n-dimensional Euclidean space, providing detailed descriptions and applications related to classical geometric constructions.
Contribution
It offers new formulas for metric properties of quadrics and cones, enhancing understanding of classical geometric models like Chasles and Staude's wire model.
Findings
Detailed formulas for metric properties of quadrics and cones
Enhanced understanding of classical geometric constructions
Applications to Chasles and Staude's wire model
Abstract
In this paper we investigate the metric properties of quadrics and cones of the -dimensional Euclidean space. As applications of our formulas we give a more detailed description of the construction of Chasles and the wire model of Staude, respectively.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Algebraic and Geometric Analysis · Tensor decomposition and applications