Kasner's convex curves
نویسندگان
چکیده
منابع مشابه
Cutting convex curves
We show that for any two convex curves C1 and C2 in Rd parametrized by [0, 1] with opposite orientations, there exists a hyperplane H with the following property: For any t ∈ [0, 1] the points C1(t) and C2(t) are never in the same open halfspace bounded by H. This will be deduced from a more general result on equipartitions of ordered point sets by hyperplanes.
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1934
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1934-05889-0