A Quaternionic Product of Lines in the Plane E^2

Year 2025, Volume: 6 Issue: 1, 75 - 80, 31.01.2025

Mircea Crasmareanu

https://doi.org/10.54974/fcmathsci.1563443

Abstract

This note introduces a product of plane lines inspired by the product of quaternions. A technical condition is necessary for the existence of this product and some examples (squares, the axes and the bisectrices of the axes) are discussed.

Keywords

Line , quaternion , product , projective geometry

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