Construction of circles under given conditions
نویسندگان
چکیده
منابع مشابه
Gluing Dupin cyclides along circles, finding a cyclide given three contact conditions
Dupin cyclides form a 9-dimensional set of surfaces which are, from the viewpoint of differential geometry, the simplest after planes and spheres. We prove here that, given three oriented contact conditions, there is in general no Dupin cyclide satisfying them, but if the contact conditions belongs to a codimension one subset, then there is a one-parameter family of solutions, which are all tan...
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Generalizing results of L. Fejes Tóth [3], [5], we prove the following theorem. Let R be a convex domain of area |R| and let S be a finite family of at least two congruent circles of total area t . Then for the area |F | of the part of R covered by the circles of S, the inequality |F | < t f (|R|/t) holds, where f (x) is the area of the intersection of a circle of unit area and a regular hexago...
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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky a fysiky
سال: 1912
ISSN: 1802-114X
DOI: 10.21136/cpmf.1912.123842