Mysterious Properties of the Point at Infinity

2017/12/17 by Saburou Saitoh, Saitoh, Saburou
Engineering · Mathematics · #30C #Advanced Numerical Analysis Techniques #Algebraic and Geometric Analysis #FOS: Mathematics #General Mathematics (math.GM) #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1712.09467

openalex publication_date 2017/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• The Descartes circles theorem and division by zero calculus
• Wasan geometry with the division by 0

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