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]).
[a1] | I.N. Bronshtein, K.A. Semendyayev, "Handbook of mathematics" , H. Deutsch (1985) (In Russian) |