Zu-Geng's axiom vs Cavalieri's theory
type: Item
instance of: scholarly article
title: Zu-Geng's axiom vs Cavalieri's theory
zbMATH Open document ID: 1091.01006
DOI: 10.1016/S0096-3003(03)00529-0
author: Ji-Huan He
published in: Applied Mathematics and Computation
publication date: 2004-09-24T00:00:00Z
review text: To begin with, the author introduces his subject by saying that ``little has been discussed on ancient Chinese mathematics in some of the most famous monographs on history of mathematics''. This is perhaps true if these ``most famous monographs'' are taken to be those of M. Kline and H. Eves, but this kind of statement badly overlooks the very large number of Western studies on ancient Chinese mathematics which have been published, even when limiting ourselves to the question of Cavalieri's principle and his treatment of indivisibles. After such a superficial judgement, the author displays a limited knowledge of the history of both Chinese and Western mathematics, the whole being crowned by a serie of violent anachronisms, such as the one which consists in calling Zu Geng's statement ``an axiom''.
Mathematics Subject Classification ID: 01A25
Mathematics Subject Classification ID: 01A35
zbMATH DE Number: 2102851
zbMATH Keywords: Cavalieri's principle
zbMATH Keywords: Zu Geng
Wikidata QID: Q114012828
reviewed by: Jean-Claude Martzloff
MaRDI profile type: Publication
cites work: Q4401917
cites work: Q5569410
cites work: Ancient Chinese mathematics: the \textit{Jiu Zhang Suan Shu} vs Euclid's \textit{Elements}. Aspects of proof and the linguistic limits of knowledge
cites work: A proof of the Pythagorean theorem by Liu Hui (third century A.D.)
cites work: Q4869531
cites work: An early Chinese derivation of the volume of a pyramid: Liu Hui, third century A.D.
full work available at URL: s0096-3003(03)00529-0
OpenAlex ID: W2023521544
description: scientific article; zbMATH DE number 2102851