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Intercept

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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