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1788 Hotta Jinsuka 堀田仁資

1788 Hotta Jinsuka 堀田仁資. Pappus Chain. 1822 Yazawa Hiroatsu 矢澤博厚. Find r i in terms of a , b , r and r 1. 1937 Soddy Hexlets. Solution by Inversion. T - point of inversion. a. a'. r 4. r 1. b'. r 2. r 3. r 3 '. r 1 '. r 2 '. r'. b. r.

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1788 Hotta Jinsuka 堀田仁資

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  1. 1788 Hotta Jinsuka 堀田仁資

  2. Pappus Chain

  3. 1822 Yazawa Hiroatsu 矢澤博厚 Find ri in terms of a, b, r and r1. 1937 Soddy Hexlets

  4. Solution by Inversion T - point of inversion a a' r4 r1 b' r2 r3 r3' r1' r2' r' b r

  5. Soddy Hexlet = 3D Steiner Chain Spheres a and b are not shown 1826 Steiner Chain

  6. 1826 Ikeda Sadakazu 池田垣

  7. Solution by Inversion

  8. 17xx Ajima Nanobu 安島直圓 1803 Malfatti Problem

  9. Summary

  10. Reference • Fukagawa Hidstoshi, Tony Rothman, Sacred Mathematics: Japanese Temple Geometry, Princeton University Press, 2008 • David Eugene Smith, Yoshio Mikami, A History of Japan Mathematics, Chicago The Open Court Publishing Co, 1914

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