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A point that lies on one of the sides of a triangle but is a not vertex.

The point in the plane with Cartesian coordinates (1, 1).

A singular point of an algebraic curve is a point where the curve has "nasty" behavior such as a cusp or a point of self-intersection (when the underlying field K is taken as ...

A pivot point of a curve is a fixed point Q such that points P lying on the curve and their (isogonal, isotomic, etc.) conjugates are collinear with Q.

P is the point on the line AB such that PA^_/PB^_=1. It can also be thought of as the point of intersection of two parallel lines. In 1639, Desargues (1864) became the first ...

The point of concurrence of the six planes in Monge's tetrahedron theorem.

A singular point such that every neighborhood of the point intersects itself. Pinch points are also called Whitney singularities or branch points.

A point where a curve intersects itself along four arcs. The above plot shows the quadruple point at the origin of the quadrifolium (x^2+y^2)^3-4x^2y^2=0.

A point where a curve intersects itself along three arcs. The above plot shows the triple point at the origin of the trifolium (x^2+y^2)^2+3x^2y-y^3=0.

A point, such as interior points of a disk, such that (px)(py)=[const], where p is the chord length.