On triangeles mutually inscribed and circumscribed

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Inscribed and Circumscribed Polyhedra for a Convex Body and Continuous Functions on a Sphere in Euclidean Space

Two related problems concerning continuous functions on a sphere Sn−1 ⊂ Rn are studied, together with the problem of finding a family of polyhedra in Rn one of which is inscribed in (respectively, circumscribed about) a given smooth convex body in Rn. In particular, it is proved that, in every convex body K ⊂ R3, one can inscribe an eight-vertex polyhedron obtained by “equiaugmentation” of a si...

متن کامل

The Polyhedra of Maximal Volume Inscribed in the Unit Sphere and of Minimal Volume Circumscribed about the Unit Sphere

In this paper, we consider two classes of polyhedra. One is the class of polyhedra of maximal volume with n vertices that are inscribed in the unit sphere of R. The other class is polyhedra of minimal volume with n vertices that are circumscribed about the unit sphere of R. We construct such polyhedra for n up to 30 by a computer aided search and discuss some of their properties.

متن کامل

Containment and Inscribed Simplices

Let K and L be compact convex sets in Rn. The following two statements are shown to be equivalent: (i) For every polytope Q ⊆ K having at most n+ 1 vertices, L contains a translate of Q. (ii) L contains a translate of K. Let 1 ≤ d ≤ n − 1. It is also shown that the following two statements are equivalent: (i) For every polytope Q ⊆ K having at most d+ 1 vertices, L contains a translate of Q. (i...

متن کامل

The Pentagram Integrals on Inscribed Polygons

The pentagram map is a completely integrable system defined on the moduli space of polygons. The integrals for the system are certain weighted homogeneous polynomials, which come in pairs: E1, O2, E2, O2, . . . In this paper we prove that Ek = Ok for all k, when these integrals are restricted to the space of polygons which are inscribed in a conic section. Our proof is essentially a combinatori...

متن کامل

on semihypergroups and hypergroups

in this thesis, first the notion of weak mutual associativity (w.m.a.) and the necessary and sufficient condition for a $(l,gamma)$-associated hypersemigroup $(h, ast)$ derived from some family of $lesssim$-preordered semigroups to be a hypergroup, are given. second, by proving the fact that the concrete categories, semihypergroups and hypergroups have not free objects we will introduce t...

15 صفحه اول

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Časopis pro pěstování matematiky a fysiky

سال: 1884

ISSN: 1802-114X

DOI: 10.21136/cpmf.1884.123161