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The upper horizontal line segment in the above figure appears to be longer than the lower line segment despite the fact that both are the same length.

The horizontal line segment in the above figure appears to be shorter than the vertical line segment, despite the fact that it has the same length.

A metric on a bunch of segments with a common endpoint O, which defines the distance between two points P_1 and P_2 as the length of the shortest path connecting them inside ...

Let a, b, and c be the side lengths of a reference triangle DeltaABC. Now let A_b be a point on the extension of the segment CA beyond A such that AA_b=a. Similarly, define ...

The digon is the degenerate polygon (corresponding to a line segment) with Schläfli symbol {2}.

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

The line bisecting a given line segment P_1P_2 can be constructed geometrically, as illustrated above.

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

The plane through the midpoint of a line segment and perpendicular to that segment, also called a mediating plane. The term "mediator" was introduced by J. Neuberg ...

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