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ERIC Number: EJ862232
Record Type: Journal
Publication Date: 2009-Sep
Pages: 7
Abstractor: As Provided
Reference Count: 0
ISSN: ISSN-0746-8342
Pompeiu's Theorem Revisited
Benyi, Arpad; Casu, Ioan
College Mathematics Journal, v40 n4 p252-258 Sep 2009
Pompeiu's theorem states that if ABC is an "equilateral" triangle and M a point in its plane, then MA, MB, and MC form a new triangle. In this article, we have a new look at this theorem in the realm of arbitrary triangles. We discover what we call Pompeiu's Area Formula, a neat equality relating areas of triangles determined by the points A, B, C, and M.
Mathematical Association of America. 1529 Eighteenth Street NW, Washington, DC 20036. Tel: 800-741-9415; Tel: 202-387-5200; Fax: 202-387-1208; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Evaluative
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A