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Line segment ranges and pencils which have equal cross ratios are said to be equicross.

A half-plane is a planar region consisting of all points on one side of an infinite straight line, and no points on the other side. If the points on the line are included, ...

A one-dimensional geometric object such as a pencil or line segment range.

Three sets of three lines such that each line is incident with two from both other sets.

A function f(x) has a vertical tangent line at x_0 if f is continuous at x_0 and lim_(x->x_0)f^'(x)=+/-infty.

The intercept form of a line in the Cartesian plane with x-intercept a and y-intercept b is given by x/a+y/b=1.

A point which lies on at least one ordinary line is called an ordinary point, or sometimes a regular point.

The lines of a pencil joining the points of a line segment range to another point.

The slope-intercept form of a line in the Cartesian plane is given by y=mx+b, where b is the y-intercept and m is the slope.

The intersection Ev of the Gergonne line and the Euler line. It has triangle center function alpha=(b(a-b+c)cosB+c(a+b-c)cosC-2a^2cosA)/(2a) and is Kimberling center X_(1375).