File:Kokonsankan 1832 hexlet problem.jpg

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Description
日本語: 書名: 古今算鑑（ここんさんかん）

出版年: 1832年 (天保3年) 編者: 内田, 五観（ウチダ, イツミ） 校訂: 堀, 陳斯（ホリ, ノブノリ） 巻: 2 (乾, 坤) 所蔵: Department of Mathematics, Kyoto University (京都大学理学研究科数学教室) URL: https://rmda.kulib.kyoto-u.ac.jp/item/rb00028467#?c=0&m=0&s=0&cv=24&r=0&xywh=-3684%2C0%2C10895%2C2655 ライセンス: フリー

問題文: 今有如圖球内容日月球其罅隙環／容遂球　外球徑三十寸日球徑一十寸／月球徑六寸甲球徑五寸間遂球徑幾何／答曰乙球徑一十五寸／丙球徑一十寸　　丁球徑三寸七分五釐／戊球徑二寸五分　己球徑二寸一十一分寸之八
English: Title: Kokonsankan (古今算鑑)

Year: 1832 (天保3年) Editor: Uchida, Itsumi (内田, 五観) Editor: Hori, Nobunori (堀, 陳斯) Volume: 2 (乾, 坤) Library: Department of Mathematics, Kyoto University (京都大学理学研究科数学教室) URL: https://rmda.kulib.kyoto-u.ac.jp/en/item/rb00028467#?c=0&m=0&s=0&cv=24&r=0&xywh=-3684%2C0%2C10895%2C2655 License: Free

Problem: Let the diameter of the outer circumscribing sphere is 30 sun. The diameters of the nucleus balls are 10 sun and 6 sun each. The diameter of one of the balls in the chain of balls is 5 sun. Then I asked for the diameters of the remaining balls. The answer is 15 sun, 10 sun, 3.75 sun, 2.5 sun and 2 + 8/11 sun..
Date
Source https://rmda.kulib.kyoto-u.ac.jp/en/item/rb00028467#?c=0&m=0&s=0&cv=24&r=0&xywh=-3684%2C0%2C10895%2C2655
Author Uchida, Itsumi (内田, 五観)(1805-1882), Hori, Nobunori (堀, 陳斯)

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Captions

Soddy's hexlet problem in japanese mathematics book Kokonsankan (1832).

Items portrayed in this file

depicts

Soddy's hexlet

inception

1 January 1832Gregorian

media type

image/jpeg

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