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- Arthur_Preston_Mellish abstract "Arthur Preston Mellish (10 June 1905 – 7 February 1930) was a Canadian mathematician, known for his generalization of Barbier's theorem.Arthur Mellish received in 1928 an M.A. in mathematics from the University of British Columbia with thesis An illustrative example of the ellipsoid pendulum. He died at age 24 and had no mathematical publications during his lifetime. After his death, his colleagues at Brown University examined his notes on mathematics. Jacob Tamarkin prepared a paper based upon the notes and published it in the Annals of Mathematics in 1931.In the statement of the following theorem, an oval means a closed convex curve.Mellish's Theorem: The statements (i) a curve is of constant width; (ii) a curve is of constant diameter; (iii) all the normals of a curve (an oval) are double; (iv) the sum of radii of curvature at opposite points of a curve (an oval) is constant; are equivalent, in the sense that whenever one of statements (i–iv) is true, all other statements also hold. (v) All curves of the same (constant) width a have the same length L given by L = πa.↑ ↑ ↑ 3.0 3.1 ↑".
- Arthur_Preston_Mellish birthDate "1905-06-10".
- Arthur_Preston_Mellish birthYear "1905".
- Arthur_Preston_Mellish deathDate "1930-02-07".
- Arthur_Preston_Mellish deathYear "1930".
- Arthur_Preston_Mellish wikiPageID "47178120".
- Arthur_Preston_Mellish wikiPageLength "2505".
- Arthur_Preston_Mellish wikiPageOutDegree "17".
- Arthur_Preston_Mellish wikiPageRevisionID "674425005".
- Arthur_Preston_Mellish wikiPageWikiLink Annals_of_Mathematics.
- Arthur_Preston_Mellish wikiPageWikiLink Barbiers_theorem.
- Arthur_Preston_Mellish wikiPageWikiLink Brown_University.
- Arthur_Preston_Mellish wikiPageWikiLink Canadian.
- Arthur_Preston_Mellish wikiPageWikiLink Canadians.
- Arthur_Preston_Mellish wikiPageWikiLink Category:1905_births.
- Arthur_Preston_Mellish wikiPageWikiLink Category:1930_deaths.
- Arthur_Preston_Mellish wikiPageWikiLink Category:Canadian_mathematicians.
- Arthur_Preston_Mellish wikiPageWikiLink Category:Differential_geometers.
- Arthur_Preston_Mellish wikiPageWikiLink Category:University_of_British_Columbia_alumni.
- Arthur_Preston_Mellish wikiPageWikiLink Closed_set.
- Arthur_Preston_Mellish wikiPageWikiLink Convex_curve.
- Arthur_Preston_Mellish wikiPageWikiLink Jacob_Tamarkin.
- Arthur_Preston_Mellish wikiPageWikiLink Mathematician.
- Arthur_Preston_Mellish wikiPageWikiLink Normal_(geometry).
- Arthur_Preston_Mellish wikiPageWikiLink Oval.
- Arthur_Preston_Mellish wikiPageWikiLink Radius_of_curvature_(mathematics).
- Arthur_Preston_Mellish wikiPageWikiLink University_of_British_Columbia.
- Arthur_Preston_Mellish wikiPageWikiLinkText "Arthur Preston Mellish".
- Arthur_Preston_Mellish wikiPageWikiLinkText "Mellish, Arthur Preston".
- Arthur_Preston_Mellish dateOfBirth "1905-06-10".
- Arthur_Preston_Mellish dateOfDeath "1930-02-07".
- Arthur_Preston_Mellish hasPhotoCollection Arthur_Preston_Mellish.
- Arthur_Preston_Mellish name "Mellish, Arthur Preston".
- Arthur_Preston_Mellish shortDescription "Mathematician".
- Arthur_Preston_Mellish wikiPageUsesTemplate Template:Canada-scientist-stub.
- Arthur_Preston_Mellish wikiPageUsesTemplate Template:Mathematician-stub.
- Arthur_Preston_Mellish wikiPageUsesTemplate Template:Persondata.
- Arthur_Preston_Mellish wikiPageUsesTemplate Template:Pi.
- Arthur_Preston_Mellish wikiPageUsesTemplate Template:Reflist.
- Arthur_Preston_Mellish description "Mathematician".
- Arthur_Preston_Mellish description "Mathematician".
- Arthur_Preston_Mellish subject Category:1905_births.
- Arthur_Preston_Mellish subject Category:1930_deaths.
- Arthur_Preston_Mellish subject Category:Canadian_mathematicians.
- Arthur_Preston_Mellish subject Category:Differential_geometers.
- Arthur_Preston_Mellish subject Category:University_of_British_Columbia_alumni.
- Arthur_Preston_Mellish hypernym Mathematician.
- Arthur_Preston_Mellish type Agent.
- Arthur_Preston_Mellish type Person.
- Arthur_Preston_Mellish type Person.
- Arthur_Preston_Mellish type Agent.
- Arthur_Preston_Mellish type NaturalPerson.
- Arthur_Preston_Mellish type Thing.
- Arthur_Preston_Mellish type Q215627.
- Arthur_Preston_Mellish type Q5.
- Arthur_Preston_Mellish type Person.
- Arthur_Preston_Mellish comment "Arthur Preston Mellish (10 June 1905 – 7 February 1930) was a Canadian mathematician, known for his generalization of Barbier's theorem.Arthur Mellish received in 1928 an M.A. in mathematics from the University of British Columbia with thesis An illustrative example of the ellipsoid pendulum. He died at age 24 and had no mathematical publications during his lifetime. After his death, his colleagues at Brown University examined his notes on mathematics.".
- Arthur_Preston_Mellish label "Arthur Preston Mellish".
- Arthur_Preston_Mellish sameAs Q20712416.
- Arthur_Preston_Mellish sameAs Q20712416.
- Arthur_Preston_Mellish wasDerivedFrom Arthur_Preston_Mellish?oldid=674425005.
- Arthur_Preston_Mellish givenName "Arthur Preston".
- Arthur_Preston_Mellish isPrimaryTopicOf Arthur_Preston_Mellish.
- Arthur_Preston_Mellish name "Arthur Preston Mellish".
- Arthur_Preston_Mellish name "Mellish, Arthur Preston".
- Arthur_Preston_Mellish surname "Mellish".