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ERIC Number: EJ919548
Record Type: Journal
Publication Date: 2011-Mar
Pages: 5
Abstractor: As Provided
Reference Count: 5
ISBN: N/A
ISSN: ISSN-1544-0389
A Historical Note on the Proof of the Area of a Circle
Wilamowsky, Yonah; Epstein, Sheldon; Dickman, Bernard
Journal of College Teaching & Learning, v8 n3 p1-5 Mar 2011
Proofs that the area of a circle is nr[superscript 2] can be found in mathematical literature dating as far back as the time of the Greeks. The early proofs, e.g. Archimedes, involved dividing the circle into wedges and then fitting the wedges together in a way to approximate a rectangle. Later more sophisticated proofs relied on arguments involving infinite sequences and calculus. Generally speaking, both of these approaches are difficult to explain to unsophisticated non-mathematics majors. This paper presents a less known but interesting and intuitive proof that was introduced in the twelfth century. It discusses challenges that were made to the proof and offers simple rebuttals to those challenges. (Contains 6 diagrams.)
Clute Institute. P.O. Box 620760, Littleton, CO 80162. Tel: 303-904-4750; Fax: 303-978-0413; e-mail: Staff@CluteInstitute.com; Web site: http://www.cluteinstitute.com
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A