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Ceva, Menelaus, and Selftransversality (1997)

Grünbaum, Branko ; Shepard, G. C.

Springer

Geometriae dedicata 65 (1997), S. 179-192

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ISSN: 1572-9168

Keywords: Ceva's Theorem ; Menelaus' Theorem ; Euclidean geometry ; n-acrons.

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract The purpose of this paper is to state and prove a theorem (the CMS Theorem) which generalizes the familiar Ceva's Theorem and Menelaus' Theorem of elementary Euclidean geometry. The theorem concernsn -acrons (generalizations of n-gons) in affine space of any number of dimensions and makes assertions about circular products of ratios of lengths, areas, volumes, etc. In particular it contains, as special cases, many results in this area proved by earlier authors.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1017930624603

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