On quaternionic product on some sets of hyperbolas

• Published in: ITM Web of Conferences Vol. 34; p. 3004
• Main Authors: Crasmareanu, Mircea, Popescu, Marcela
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Les Ulis EDP Sciences 2020
• Subjects: Conics; equilateral hyperbola; Euclidean geometry; Hyperbolas; Isomorphism; octonion; product; Projective geometry; quaternion

The aim of this paper is to introduce some products, induced by the quaternionic product, on the set of equilateral hyperbolas. The study is a mix of elements from Euclidean and projective geometry. Some properties of these products are highlighted and are connected with some special numbers as root...