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Difference between revisions of "Inscribed broken line"

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A line <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i051/i051270/i0512701.png" /> consisting of a finite number <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i051/i051270/i0512702.png" /> of rectilinear segments <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i051/i051270/i0512703.png" />, the ends <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i051/i051270/i0512704.png" />, <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i051/i051270/i0512705.png" />, of which lie on a given planar or spatial curve, the points <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i051/i051270/i0512706.png" /> being taken in increasing order of the parameter on the curve. For example, a special case of an inscribed broken line for <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i051/i051270/i0512707.png" /> is an [[Inscribed angle|inscribed angle]]. See also [[Inscribed and circumscribed figures|Inscribed and circumscribed figures]].
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A line consisting of a finite number n of rectilinear segments A_0A_1,\ldots,A_{n-1}A_n, the ends A_i, $i=0,\ldots,n$, of which lie on a given planar or spatial curve, the points A_i being taken in increasing order of the parameter on the curve. For example, a special case of an inscribed broken line for $n=2$ is an [[Inscribed angle|inscribed angle]]. See also [[Inscribed and circumscribed figures|Inscribed and circumscribed figures]].

Latest revision as of 14:44, 29 April 2014

A line L consisting of a finite number n of rectilinear segments A_0A_1,\ldots,A_{n-1}A_n, the ends A_i, i=0,\ldots,n, of which lie on a given planar or spatial curve, the points A_i being taken in increasing order of the parameter on the curve. For example, a special case of an inscribed broken line for n=2 is an inscribed angle. See also Inscribed and circumscribed figures.

How to Cite This Entry:
Inscribed broken line. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Inscribed_broken_line&oldid=14058
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article