A History of Japanese Mathematics

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42), and whose school exercised considerable influence in the western provinces.
He also wrote the Shingen Sampo, a work that was published by his son in 1844. The old epigram which he adopted "There is no reason without number, nor is there number without reason," is well known in Japan.
It is, however, with the early stages of geometry that we are interested at this period, and the next noteworthy writer upon the subject was Hashimote Shoho, who published his Sampo Tenzan Shogakiishd^ in 1830
.... The particular feature ' Illustrated treatise on the line method. His works are thought by some to have been written by Hasegawa.
2 Endo, Book III, p. gi.
3 Mathematical methods conveniently revealed. He is sometimes known by his familiar name, Tokunoshin.
4 Tenzan method for beginners.
XI. The Opening of the Nineteenth Century.
217 of interest in iiis work is the geometric treatment of the center of gravity of a figure. One of his problems is to find by geometric drawing the center of gravity of a quadrilateral, and the figure is given, although without explanation.' This problem of the center of gravity now began to attract a good deal of attention in Japan.


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