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- Newtons_theorem_about_ovals abstract "In mathematics, Newton's theorem about ovals states that the area cut off by a secant of a smooth convex oval is not an algebraic function of the secant.Isaac Newton stated it as lemma 28 of section VI of book 1 of Newton's Principia, and used it to show that the position of a planet moving in an orbit is not an algebraic function of time. There has been some controversy about whether or not this theorem is correct because Newton did not state exactly what he meant by an oval, and for some interpretations of the word oval the theorem is correct, while for others it is false. If \"oval\" means \"continuous convex curve\", then there are counterexamples, such as triangles or one of the lobes of Huygens lemniscate y2 = x2 − x4, while Arnold (1989) pointed that if \"oval\" means \"infinitely differentiable convex curve\" then Newton's claim is correct and his argument has the essential steps of a rigorous proof.Vassiliev (2002) generalized Newton's theorem to higher dimensions.".
- Newtons_theorem_about_ovals thumbnail Lemniscate-of-Gerono.svg?width=300.
- Newtons_theorem_about_ovals wikiPageExternalLink books?isbn=0821829483.
- Newtons_theorem_about_ovals wikiPageID "29224388".
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- Newtons_theorem_about_ovals wikiPageOutDegree "17".
- Newtons_theorem_about_ovals wikiPageRevisionID "690696454".
- Newtons_theorem_about_ovals wikiPageWikiLink Algebraic_function.
- Newtons_theorem_about_ovals wikiPageWikiLink American_Mathematical_Society.
- Newtons_theorem_about_ovals wikiPageWikiLink Archive_for_History_of_Exact_Sciences.
- Newtons_theorem_about_ovals wikiPageWikiLink Category:Curves.
- Newtons_theorem_about_ovals wikiPageWikiLink Category:Isaac_Newton.
- Newtons_theorem_about_ovals wikiPageWikiLink Category:Theorems_in_geometry.
- Newtons_theorem_about_ovals wikiPageWikiLink Convex_set.
- Newtons_theorem_about_ovals wikiPageWikiLink Florian_Cajori.
- Newtons_theorem_about_ovals wikiPageWikiLink Historia_Mathematica.
- Newtons_theorem_about_ovals wikiPageWikiLink Isaac_Newton.
- Newtons_theorem_about_ovals wikiPageWikiLink Lemniscate_of_Gerono.
- Newtons_theorem_about_ovals wikiPageWikiLink Notices_of_the_American_Mathematical_Society.
- Newtons_theorem_about_ovals wikiPageWikiLink Philosophiæ_Naturalis_Principia_Mathematica.
- Newtons_theorem_about_ovals wikiPageWikiLink Secant_line.
- Newtons_theorem_about_ovals wikiPageWikiLink File:Lemniscate-of-Gerono.svg.
- Newtons_theorem_about_ovals wikiPageWikiLink File:Spiral_of_Archimedes.svg.
- Newtons_theorem_about_ovals wikiPageWikiLinkText "Newton's theorem about ovals".
- Newtons_theorem_about_ovals wikiPageWikiLinkText "lemma 28".
- Newtons_theorem_about_ovals wikiPageUsesTemplate Template:Citation.
- Newtons_theorem_about_ovals wikiPageUsesTemplate Template:Clear.
- Newtons_theorem_about_ovals wikiPageUsesTemplate Template:Harv.
- Newtons_theorem_about_ovals wikiPageUsesTemplate Template:Harvtxt.
- Newtons_theorem_about_ovals wikiPageUsesTemplate Template:Isaac_Newton.
- Newtons_theorem_about_ovals subject Category:Curves.
- Newtons_theorem_about_ovals subject Category:Isaac_Newton.
- Newtons_theorem_about_ovals subject Category:Theorems_in_geometry.
- Newtons_theorem_about_ovals type Scientist.
- Newtons_theorem_about_ovals type Scientist.
- Newtons_theorem_about_ovals type Theorem.
- Newtons_theorem_about_ovals comment "In mathematics, Newton's theorem about ovals states that the area cut off by a secant of a smooth convex oval is not an algebraic function of the secant.Isaac Newton stated it as lemma 28 of section VI of book 1 of Newton's Principia, and used it to show that the position of a planet moving in an orbit is not an algebraic function of time.".
- Newtons_theorem_about_ovals label "Newton's theorem about ovals".
- Newtons_theorem_about_ovals sameAs Q7020025.
- Newtons_theorem_about_ovals sameAs Teorema_de_Newton_sobre_ovais.
- Newtons_theorem_about_ovals sameAs m.0dlk193.
- Newtons_theorem_about_ovals sameAs Q7020025.
- Newtons_theorem_about_ovals wasDerivedFrom Newtons_theorem_about_ovals?oldid=690696454.
- Newtons_theorem_about_ovals depiction Lemniscate-of-Gerono.svg.
- Newtons_theorem_about_ovals isPrimaryTopicOf Newtons_theorem_about_ovals.