Seki Takakazu’s Method of Calculating the Volume of Solids of Revolution and His Mathematical Object

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


It is usually said that Seki Takakazu (ca. 1642 – 1708) calculated the volume of a solid of revolution using the Pappus-Guldinus theorem. However, it is difficult to say that Seki was influenced by Mechanics. In fact, Seki calculated the volumes of all parts which constitute a figure and added them. We may claim that Seki found the Pappus-Guldinus theorem from these calculations and will explain Seki’s method of construction for mathematical objects.


Mathematical Object Algebraic Number Unit Price Wood Block Sphere Segment 


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Copyright information

© Springer Japan 2013

Authors and Affiliations

  1. 1.Faculty of MathematicsKyushu UniversityFukuokaJapan

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