Geometry

Orthogonality of Two Lines and Division by Zero Calculus

Authors: Hiroshi Okumura, Saburou Saitoh
Comments: 4 Pages.

In this paper, we will give a pleasant representation of the orthogonality of two lines by means of the division by zero calculus. For two lines with gradients $m$ and $ M$, they are orthogonal if $ m M = - 1. $ Our common sense will be so stated. However, note that for the typical case of $x,y$ axes, the statement is not valid. Even for the high school students, the new result may be pleasant with surprising new results and ideas.
Category: Geometry