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The Integrability of Ovals: Newton's Lemma 28 and Its Counterexamples

✍ Scribed by Bruce Pourciau

Book ID
106087104
Publisher
Springer-Verlag
Year
2001
Tongue
English
Weight
138 KB
Volume
55
Category
Article
ISSN
0003-9519

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πŸ“œ SIMILAR VOLUMES

The Validity of Newton's Lemma 28
The Validity of Newton's Lemma 28
✍ Peter Pesic πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 33 KB

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 l