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For a parabola oriented vertically and opening upwards, the vertex is the point where the curve reaches a minimum.

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

A point at which three or more polyhedron edges of a polyhedron meet. The concept can also be generalized to a polytope.

The catacaustic of the quadrifolium with arbitrary radiant point is a complicated function. A few example are illustrated above.

If a fixed point is added to each group of a special complete series, then the resulting series is complete.

An n-route is defined as a walk of length n with specified initial point in which no line succeeds itself.

Two curves both containing the point P are tangent at P if they share the same tangent line at P.

The latitude of a point on a sphere is the elevation of the point from the plane of the equator. The latitude delta is related to the colatitude (the polar angle in spherical ...

Let a circle C_1 lie inside another circle C_2. From any point on C_2, draw a tangent to C_1 and extend it to C_2. From the point, draw another tangent, etc. For n tangents, ...

The Feuerbach triangle is the triangle formed by the three points of tangency of the nine-point circle with the excircles (Kimberling 1998, p. 158). (The fact that the ...