arXiv subjects
Publications and source records attributed to Saburou Saitoh.
From the viewpoints of the division by zero $1/0=0/0=z/0=0$ and the division by zero calculus, we will examine the mysterious properties of the point at infinity in the sense of the Alexandroff one compactification of the complex plane which is realized by the stereographic projection.
From the viewpoint of the division by zero $(0/0=1/0=z/0=0)$ and the division by zero calculus, we will show that in the very beautiful theorem by Descartes on three touching circles is valid for lines and points for circles except for one case. However, for the exceptional case, we can obtain interesting results from the division by zero calculus.