Namespaces
Variants
Actions

Difference between revisions of "Inscribed broken line"

From Encyclopedia of Mathematics
Jump to: navigation, search
(Importing text file)
 
(TeX)
 
Line 1: Line 1:
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]].
+
{{TEX|done}}
 +
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|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