Results 161 to 170 of about 196 (191)

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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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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Angle Bisectors in Normed Linear Spaces

Mathematische Nachrichten, 1987
This paper is a contribution to the body of literature concerning the extension of the notion of angle between vectors in an inner product space to more general normed linear spaces. Here the angle between non- zero vectors x and y is defined by \[ \dot A(x,y)=arc \cos [(1-\| \frac{x}{\| x\|}-\frac{y}{\| y\|}\|^ 2)\quad] \] and the space X is said to ...
Freese, Raymond W., Diminnie, Charles R., Andalafte, Edward Z.   +2 more
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The problem of the angle bisectors

The Mathematics Teacher, 1963
A topic suitable for a high school or college mathematics club or for assignment as a special report by a student in a class in ...
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Perpendicular bisectors and orthogonality

Archiv der Mathematik, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guijarro, P., Tomás, M. S.
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Tips For Beginners: Altitudes, medians, angle bisectors, and perpendicular bisectors of the sides of triangles

The Mathematics Teacher, 1963
Students have some difficulty with the concepts and constructions of the altitudes, the perpendicular bisectors of the sides, the medians, and the angle bisectors of the triangle. Some students seem to show little understanding of the words of the definitions, and the mechanics of straightedge and compass construction often do not help to clarify their
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bisector, n.

2023
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A Refined Energy Bound for Distinct Perpendicular Bisectors

Annals of Combinatorics, 2020
Benjamin Lund
exaly  

Extreme area and perimeter bisectors in a triangle

Aequationes Mathematicae, 2023
Stefan Cătoiu, Allan Berele, Cătoiu Stefan   +2 more
exaly  

Degenerate point/curve and curve/curve bisectors arising in medial axis computations for planar domains with curved boundaries

Computer Aided Geometric Design, 1998
Rida T Farouki
exaly