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The 27 real or imaginary lines which lie on the general cubic surface and the 45 triple tangent planes to the surface. All are related to the 28 bitangents of the general ...

The average number of regions N(n) into which n lines divide a square is N^_(n)=1/(16)n(n-1)pi+n+1 (Santaló 1976; Finch 2003, p. 481). The maximum number of sequences is ...

Determining the maximum number of pieces in which it is possible to divide a circle for a given number of cuts is called the circle cutting or pancake cutting problem. The ...

A transversal line is a line which intersects each of a given set of other lines. It is also called a semisecant.

A line making equal angles with the edges of a trihedron is called an isoclinal line of the trihedron.

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

A line that passes through the center of a circle or sphere.

If a line intersects one of two parallel lines, both of which are coplanar with the original line, then it must intersect the other also. This axiom is equivalent to the ...

A secant line, also simply called a secant, is a line passing through two points of a curve. As the two points are brought together (or, more precisely, as one is brought ...

A line and a plane are parallel if they do not intersect.