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Seki Takakazu’s Measuring Process of the Volume of Solids Derived from Spheres

  • Toshio Sugimoto
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 39)

Abstract

In this paper, I shall explain a crucial point of Seki Takakazu’s argument which claims that there is a close relationship between the solid of revolution of an arc-figure (called here a finger ring) and an obliquely cut segment of a cylinder (called an onglet). I think his argument is the most brilliant; no one has ever attained his level. But his explanation is too concise; no one has ever found its proper interpretation. Several years ago I succeeded in deciphering his arguments in seeking the volume of solids of revolution for the first time and published it in a series of papers in Japanese. Here I shall show some of my interpretations with many figures for illustration.

Keywords

Lateral Line Spheric Surface Thin Disc Sphere Segment Western Tradition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Japan 2013

Authors and Affiliations

  • Toshio Sugimoto
    • 1
  1. 1.TokyoJapan

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