AXIS 发表于 2025-3-25 04:18:48

Fourth Book of the Treatise of Diophantus on Squares and Cubeson and the reduction., arrived at one term equal to one term, (namely) 10 those (problems) involving (either of) the two species of linear and plane number and also those which are composite. I have done that according to categories which beginners can memorize and grasp the nature of.

GRAIN 发表于 2025-3-25 11:32:21

http://reply.papertrans.cn/19/1898/189762/189762_22.png

金盘是高原 发表于 2025-3-25 14:46:05

https://doi.org/10.1007/978-1-4613-8174-7DEX; Mathematica; Slate; algebra; arithmetic; constant; construction; eXist; history of mathematics; interpol

仲裁者 发表于 2025-3-25 17:31:49

978-1-4613-8176-1Springer-Verlag New York Inc. 1982

Inveterate 发表于 2025-3-25 21:49:38

Jochen Franzke,José M. Ruano de la FuenteWe wish to find two numbers, one square and the other cubic, such that when we add to the square of the square a given multiple of the cubic number, 1620 the result is a square number, and when we subtract from the same another given multiple. of the cubic number, the remainder is a square number.

patella 发表于 2025-3-26 03:02:23

William R. Henderson,Emil Y. ChiWe wish to find two numbers, one cubic and the other square, having their sides in a given ratio, such that when their squares are added, the result is a square number.

预感 发表于 2025-3-26 05:46:42

Rudolf C. Ulirsch,Dena M. GomezOur intention is to expound in the present Book many arithmetical problems without their departing from the type of problems seen previously in the fourth and fifth Books—even if they are different in species.—in order that it be an opportunity for (acquiring) proficiency and an increase in ex-2925 perience and skill.

抚慰 发表于 2025-3-26 10:50:02

Local Invisibility, Postcolonial FeminismsThe introduction to Book IV can be divided into three distinct parts.

TAP 发表于 2025-3-26 14:32:18

http://reply.papertrans.cn/19/1898/189762/189762_29.png

咽下 发表于 2025-3-26 18:53:36

Fifth Book of the Treatise of Diophantus the Alexandrian on Arithmetical ProblemsWe wish to find two numbers, one square and the other cubic, such that when we add to the square of the square a given multiple of the cubic number, 1620 the result is a square number, and when we subtract from the same another given multiple. of the cubic number, the remainder is a square number.
页: 1 2 [3] 4 5
查看完整版本: Titlebook: Books IV to VII of Diophantus’ Arithmetica; in the Arabic Transl Jacques Sesiano Book 1982 Springer-Verlag New York Inc. 1982 DEX.Mathemati