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{{short description|American mathematician}}
'''Leon Bankoff''' (December 13, 1908 – February 16, 1997), born in ], ], was an ] ] and ]. '''Leon Bankoff''' (December 13, 1908 – February 16, 1997), born in ], ], was an American ]. As an ] he constructed the ]. He was also an ].


== Life == == Life ==
] ]
After a visit to the ], Bankoff studied dentistry at ]. Later, he moved to ], ], where he taught at the ]; while there, he completed his studies. He practiced over 60 years as a dentist in ]. Many of his patients were celebrities.<ref name=Calagary>{{cite web| url=http://www.ucalgary.ca/lib-old/SpecColl/bankoff.htm| title=Mathematics Archive - Leon Bankoff| accessdate=2008-06-08| publisher=University of Calgary Library}}</ref> After a visit to the ], Bankoff studied dentistry at ]. Later, he moved to ], ], where he taught at the ]; while there, he completed his studies. He practiced over 60 years as a dentist in ]. Many of his patients were celebrities.<ref name=Calagary>{{cite web| url=https://www.ucalgary.ca/lib-old/SpecColl/bankoff.htm| title=Mathematics Archive - Leon Bankoff| accessdate=2008-06-08| publisher=University of Calgary Library}}</ref>


Along with Bankoff's interest in dentistry were the ] and the ]. He was fluent in ], created artistic sculptures, and was interested in the progressive development of computer technology. Above all, he was a specialist in the mathematical world and highly respected as an expert in the field of ]. Since the 1940s, he lectured and published many articles as a co-author. Bankoff collaborated with ] in a mathematics paper and therefore has an ].<ref>{{cite journal Along with Bankoff's interest in dentistry were the ] and the ]. He was fluent in ], created artistic sculptures, and was interested in the progressive development of computer technology. Above all, he was a specialist in the mathematical world and highly respected as an expert in the field of ]. Since the 1940s, he lectured and published many articles as a co-author. Bankoff collaborated with ] in a mathematics paper and therefore has an ].<ref>{{cite journal
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| year = 1973 | year = 1973
| doi = 10.2307/2688264 | doi = 10.2307/2688264
| issue = 5}}.</ref><ref> | issue = 5| jstor = 2688264
}}.</ref>
{{cite web| url=http://planetmath.org/encyclopedia/IstOfMathematiciansWithErdosNumber1.html| title=List of mathematicians with Erdős number 1| accessdate=2008-06-08| publisher=PlanetMath}}</ref>


From 1968 to 1981, Bankoff was the editor of the ''Problem Department'' of ] Journals, where he was responsible for the publication of some 300 top problems in the area of ], particularly ], and the ] of ].<ref name=Calagary/> Among his discoveries with the arbelos was the ], which is equal in area to ].<ref>{{Cite journal|date=Apr 1974| quote=Mathematics Magazine| volume=47| pages=214–218| author =Chuang, Vp; Mena, Ce; Hoskins, Pa |title=Congenital anomalies of the left renal vein: angiographic consideration| issue =556| issn =0007-1285| pmid =4824553| journal =The British journal of radiology| url =http://bjr.birjournals.org/content/47/556/214 |format=Free full text| doi =10.1259/0007-1285-47-556-214 From 1968 to 1981, Bankoff was the editor of the ''Problem Department'' of ] Journals, where he was responsible for the publication of some 300 top problems in the area of ], particularly ], and the ] of ].<ref name=Calagary/> Among his discoveries with the arbelos was the ], which is equal in area to ].<ref>{{Cite journal|date=Apr 1974| quote=Mathematics Magazine| volume=47| pages=214–218|author1=Chuang, Vp |author2=Mena, Ce |author3=Hoskins, Pa |title=Congenital anomalies of the left renal vein: angiographic consideration| issue =556| issn =0007-1285| pmid =4824553| journal =The British Journal of Radiology| url =http://bjr.birjournals.org/content/47/556/214 |format=Free full text| doi =10.1259/0007-1285-47-556-214
}}</ref> }}</ref>


== Publications == == Publications ==
{{Scholia}}
* ''How Did Pappus Do It?'' The Mathematical Gardner, David Klarner ed. (Pridle, Weber & Schmidt, 1981). * ''How Did Pappus Do It?'' The Mathematical Gardner, ] ed. (Pridle, Weber & Schmidt, 1981).
* The Metamorphosis of the Butterfly Theorem, Mathematics Magazine, Mathematical Association of America, October 1987. * The Metamorphosis of the Butterfly Theorem, Mathematics Magazine, Mathematical Association of America, October 1987.
* "The Asymmetric Propeller," (with ] and ]) Mathematics Magazine, 46 (1973), 270-272. * "The Asymmetric Propeller," (with ] and ]) Mathematics Magazine, 46 (1973), 270-272.
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== References == == References ==
{{reflist}} {{reflist}}
* Donald J. Albers & ] (2011) ''Fascinating Mathematical People: interviews and memoirs'', "Leon Bankoff", pp. 79–95, ], ISBN 978-0-691-14829-8. * Donald J. Albers & ] (2011) ''Fascinating Mathematical People: interviews and memoirs'', "Leon Bankoff", pp.&nbsp;79–95, ], {{ISBN|978-0-691-14829-8}}.

{{authority control}}


{{DEFAULTSORT:Bankoff, Leon}} {{DEFAULTSORT:Bankoff, Leon}}
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Latest revision as of 11:27, 18 July 2024

American mathematician

Leon Bankoff (December 13, 1908 – February 16, 1997), born in New York City, New York, was an American dentist. As an amateur mathematician he constructed the Bankoff circle. He was also an Esperantist.

Life

The Bankoff Circle

After a visit to the City College of New York, Bankoff studied dentistry at New York University. Later, he moved to Los Angeles, California, where he taught at the University of Southern California; while there, he completed his studies. He practiced over 60 years as a dentist in Beverly Hills. Many of his patients were celebrities.

Along with Bankoff's interest in dentistry were the piano and the guitar. He was fluent in Esperanto, created artistic sculptures, and was interested in the progressive development of computer technology. Above all, he was a specialist in the mathematical world and highly respected as an expert in the field of flat geometry. Since the 1940s, he lectured and published many articles as a co-author. Bankoff collaborated with Paul Erdős in a mathematics paper and therefore has an Erdős number 1.

From 1968 to 1981, Bankoff was the editor of the Problem Department of Pi Mu Epsilon Journals, where he was responsible for the publication of some 300 top problems in the area of plane geometry, particularly Morley's trisector theorem, and the arbelos of Archimedes. Among his discoveries with the arbelos was the Bankoff circle, which is equal in area to Archimedes' twin circles.

Publications

Scholia has a profile for Leon Bankoff (Q339329).
  • How Did Pappus Do It? The Mathematical Gardner, David A. Klarner ed. (Pridle, Weber & Schmidt, 1981).
  • The Metamorphosis of the Butterfly Theorem, Mathematics Magazine, Mathematical Association of America, October 1987.
  • "The Asymmetric Propeller," (with Paul Erdős and Murray S. Klamkin) Mathematics Magazine, 46 (1973), 270-272.

References

  1. ^ "Mathematics Archive - Leon Bankoff". University of Calgary Library. Retrieved 2008-06-08.
  2. Bankoff, Leon; Erdős, Paul; Klamkin, Murray S. (1973). "The asymmetric propeller". Mathematics Magazine. 46 (5): 270–272. doi:10.2307/2688264. JSTOR 2688264. MR 0328757..
  3. Chuang, Vp; Mena, Ce; Hoskins, Pa (Apr 1974). "Congenital anomalies of the left renal vein: angiographic consideration" (Free full text). The British Journal of Radiology. 47 (556): 214–218. doi:10.1259/0007-1285-47-556-214. ISSN 0007-1285. PMID 4824553. Mathematics Magazine
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