Literaturnachweis - Detailanzeige
Autor/in | Zhou, Li |
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Titel | Viviani Polytopes and Fermat Points |
Quelle | In: College Mathematics Journal, 43 (2012) 4, S.309-312 (4 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0746-8342 |
DOI | 10.4169/college.math.j.43.4.309 |
Schlagwörter | Geometry; Geometric Concepts; Mathematics Instruction; Mathematical Concepts; Validity; Mathematical Logic; College Mathematics |
Abstract | Given a set of oriented hyperplanes P = {p1, . . . , pk} in R[superscript n], define v : R[superscript n] [right arrow] R by v(X) = the sum of the signed distances from X to p[subscript 1], . . . , p[subscript k], for any point X [is a member of] R[superscript n]. We give a simple geometric characterization of P for which v is constant, leading to a connection with the Fermat point of "k" points in R[superscript n]. Finally, we discuss the full content of Viviani's theorem historically. (As Provided). |
Anmerkungen | 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: maahq@maa.org; Web site: http://www.maa.org/pubs/cmj.html |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2017/4/10 |