A History of Japanese MathematicsOpen Court Publishing Company, 1914 - 288 pàgines |
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Passatges populars
Pàgina 10 - find a number which, when divided by 3 leaves a remainder of 2, when divided by 5 leaves 3, and when divided by 7 leaves 2."s This work is sometimes, but without any good reason, assigned to Sun Wu, one of the most illustratious men of the 6th century BC 3. Liu- Chang. This is unknown. There was a writer named * Pi means leg, thigh, thigh-bone.
Pàgina 82 - Ziys (1795 edition). one of them the first and counting out every tenth one until there should remain only one, who should be called the heir. The husband assenting, the wife arranged the children as shown in the figure *. The counting then began as shown and resulted in the elimination of fourteen step-children at once, leaving only one. Thereupon the wife, feeling confident of her success, 1 The step children are represented by dark circles, and her own children by light ones. In the old manuscripts...
Pàgina 13 - In a series of 18 problems, it gives the method of ascertaining the value of unknown quantities, from certain conditions of combination, depending on the number of terms in the equation. The following is one of the simplest examples : — If 5 oxen and 2 sheep cost 10 taels of gold, and 2 oxen and 8 sheep cost 8 taels ; what are the prices of the oxen and sheep respectively ? — Ans., each ox, 1 tael and \^-\ each sheep, f- £ of a tael.
Pàgina 82 - ... first wife and half of his second one. The latter wished a favorite son to inherit all the property, and accordingly she asked him one day, saying: Would it not be well to arrange our thirty children on a circle, calling Fig. 26, The Josephos problem, from Miyake Kenrytt's Shajtitstt Sangaku Zttye (1795 edition).
Pàgina 15 - Less than all things," says a current precept, " men must grudge money : it is by riches that wisdom is hindered." Hence children were brought up with utter disregard of economy. It was considered bad taste to speak of it, and ignorance of the value of different coins was a token of good breeding.