Osculating Curves: Around the Tait-Kneser Theorem
نویسندگان
چکیده
منابع مشابه
Variations on the Tait-Kneser theorem
At every point, a smooth plane curve can be approximated, to second order, by a circle; this circle is called osculating. One may think of the osculating circle as passing through three infinitesimally close points of the curve. A vertex of the curve is a point at which the osculating circle hyper-osculates: it approximates the curve to third order. Equivalently, a vertex is a critical point of...
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At every point, a smooth plane curve can be approximated, to second order, by a circle; this circle is called osculating. One may think of the osculating circle as passing through three infinitesimally close points of the curve. A vertex of the curve is a point at which the osculating circle hyper-osculates: it approximates the curve to third order. Equivalently, a vertex is a critical point of...
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ژورنال
عنوان ژورنال: The Mathematical Intelligencer
سال: 2012
ISSN: 0343-6993,1866-7414
DOI: 10.1007/s00283-012-9336-6