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)


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.


Lateral Line Spheric Surface Thin Disc Sphere Segment Western Tradition 
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Copyright information

© Springer Japan 2013

Authors and Affiliations

  • Toshio Sugimoto
    • 1
  1. 1.TokyoJapan

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