Results 221 to 230 of about 3,503 (263)

Computing rational bisectors

IEEE Computer Graphics and Applications, 1999
Bisector construction plays an important role in many geometric computations. This article explains how to compute rational bisectors of point-surface and sphere-surface pairs. This article shows that the bisector of a point and a rational surface in R/sup 3/ (3D space) is also a rational surface. This result implies that the bisector of a sphere and a
Gershon Elber, Myung-Soo Kim
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Rational bisectors of CSG primitives

Proceedings of the fifth ACM symposium on Solid modeling and applications, 1999
The bisector surface of two rational surfaces in R3 is non-rational, in general. However, in some special cases, the bisector surfaces can have rational parameterization. This paper classifies some of these special cases that are related to constructive solid geometry (CSG).
Gershon Elber, Myung-Soo Kim
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Node Bisectors of Cayley Graphs

Mathematical Systems Theory, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Bisector

2017
Issue of The Bisector journal from Vancouver, with an article titled "The Lim Jim Petitions", which discusses and reprints several letters of support for Lim Jim from Vancouver businessmen.
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The Steiner-Lehmus angle-bisector theorem

The Mathematical Gazette, 2014
Summary: In 1840 C. L. Lehmus sent the following problem to Charles Sturm: `If two angle bisectors of a triangle have equal length, is the triangle necessarily isosceles?' The answer is `yes', and indeed we have the reverse-comparison theorem: Of two unequal angles, the larger has the shorter bisector (see [\textit{H. S. M. Coxeter} and \textit{S.
Conway, John, Ryba, Alex
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Intersections of Bisectors

1999
Abstract In real hyperbolic space, bisectors are totally geodesic and so are their intersections. In particular bisector intersections are necessarily connected. However, in complex hyperbolic geometry, this is no longer true. We have already discussed two cases of bisector intersections: cospinal pairs (where the spines lie in a common ...
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On Bisectors in Minkowski Normed Spaces

Acta Mathematica Hungarica, 2000
Let \(K\) be a symmetric (with respect to the origin) bounded convex body in \({\mathbb R}^n\), and \(N_K\) its Minkowski functional (or gauge). The bisector of the segment \([0,x]\) is the set of points which are equidistant of \(0\) and \(x\) for \(N_K\): \[ H_x=\{y\in {\mathbb R}^n ;\;N_K(y)=N_K(x-y)\} . \] \textit{M. M. Day} [Trans. Am. Math.
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Equal Bisectors at a Vertex of a Triangle

2011
Given a triangle ABC, we study the conditions that its vertices must satisfy in order for the internal and external bisectors corresponding to one of the vertices to be equal. We investigate whether there are triangles for which the bisectors at each vertex are equal and other related properties.
R. Losada, Tomás Recio, José L. Valcarce   +2 more
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GEOMETRY OF BISECTORS FOR STRICTLY CONVEX DISTANCES

International Journal of Computational Geometry & Applications, 1996
In this paper we study some unexpected geometric properties of the family of bisector lines for a convex distance d, showing that bisectors do not always have an asymptotic line (Section 2). Moreover, although bisectors are homeomorphic to lines, pairs of them can exist intersecting infinitely many times (Section 3).
A. Corbalan, Marisa Mazón, Tomás Recio
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Analysis of Algorithms for Reflections in Bisectors

SIAM Review, 1971
Given a vector x there are two vectors u such that $(I - \theta uu^ * )x$ is a multiple of $(1,0, \ldots ,0)^ * $ , $\theta = 2(u^ * u)^{ - 1} $ We discuss the determination of $\theta $ and u in finite precision and analyze some algorithms for either choice of u in order to illustrate the role of error analysis in the design of numerical techniques.
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