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Old-fashioned, somewhat loosely used term in [[Geometry|geometry]] that is used to refer to a part of a line, curve, plane, or surface intercepted (i.e. cut out or marked) by other lines, curves, etc.
 
Old-fashioned, somewhat loosely used term in [[Geometry|geometry]] that is used to refer to a part of a line, curve, plane, or surface intercepted (i.e. cut out or marked) by other lines, curves, etc.
  
For instance, the axis intercept form of the equation of a line in <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i110/i110090/i1100901.png" /> is <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i110/i110090/i1100902.png" />. This line cuts the <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i110/i110090/i1100903.png" />-axis at <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i110/i110090/i1100904.png" /> and the <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i110/i110090/i1100905.png" />-axis at <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i110/i110090/i1100906.png" /> (see [[#References|[a1]]]).
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For instance, the axis intercept form of the equation of a line in $\mathbf R^2$ is $x/a+y/b=1$. This line cuts the $x$-axis at $(a,0)$ and the $y$-axis at $(0,b)$ (see [[#References|[a1]]]).
  
 
====References====
 
====References====
 
<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  I.N. Bronshtein,  K.A. Semendyayev,  "Handbook of mathematics" , H. Deutsch  (1985)  (In Russian)</TD></TR></table>
 
<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  I.N. Bronshtein,  K.A. Semendyayev,  "Handbook of mathematics" , H. Deutsch  (1985)  (In Russian)</TD></TR></table>

Latest revision as of 07:51, 21 June 2014

Old-fashioned, somewhat loosely used term in geometry that is used to refer to a part of a line, curve, plane, or surface intercepted (i.e. cut out or marked) by other lines, curves, etc.

For instance, the axis intercept form of the equation of a line in $\mathbf R^2$ is $x/a+y/b=1$. This line cuts the $x$-axis at $(a,0)$ and the $y$-axis at $(0,b)$ (see [a1]).

References

[a1] I.N. Bronshtein, K.A. Semendyayev, "Handbook of mathematics" , H. Deutsch (1985) (In Russian)
How to Cite This Entry:
Intercept. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Intercept&oldid=32281
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article