Construction of Special Conics in Bundles of Conics Using Geometric Algebras
Pavel Loučka -- Institute of Mathematics, Brno University of Technology
Using Geometric Algebra for Conics (GAC), we inspect the geometric problems related to a bundle of conics which is a linear combination of two (possibly intersecting) conics. In particular, we focus on construction of special conics from the bundle -- three pairs of lines, and two conjugate parabolas, by means of GAC. Furthermore, we discuss possible usage of these conics in finding the intersection of two conics.