The Validity of Newton's Lemma 28

✍ Scribed by Peter Pesic

• Book ID: 102569667
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 33 KB
• Volume: 28
• Category: Article
• ISSN: 0315-0860
• DOI: 10.1006/hmat.2001.2321

✦ Synopsis

Isaac Newton's Lemma 28 (Principia, Book I) argues that the areas of oval figures are not expressible in finite algebraic equations. Although D. T. Whiteside criticized this lemma, his counterexample is not infinitely smooth and thus would not have been admitted by Newton. C 2001 Academic Press Le lemme 28 d'Isaac Newton (Principia, livre I) propose que les aires de figures ovales ne sont pas exprimables par des équations algébriques finies. Bien que D. T. Whiteside ait critiqué ce lemme, son contre-exemple n'est pas infiniment dérivable, et Newton ne l'aurait donc pas admis.