Perspective (geometry)
Encyclopedia
In geometry, two triangle
s are perspective (or homologic) if, when the sides of each triangle are extended, they meet at three collinear points. The line which goes through the three points is known as the perspectrix, perspective axis, homology axis, or axis of perspectivity. The triangles are said to be perspective from the line. The point at which the lines joining the vertices of the perspective triangle intersect is called the perspector, perspective center, homology center, pole, or center of perspectivity.
Karl von Staudt introduced the notation
for the relation of triangles ABC and abc.
Triangle
A triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C is denoted ....
s are perspective (or homologic) if, when the sides of each triangle are extended, they meet at three collinear points. The line which goes through the three points is known as the perspectrix, perspective axis, homology axis, or axis of perspectivity. The triangles are said to be perspective from the line. The point at which the lines joining the vertices of the perspective triangle intersect is called the perspector, perspective center, homology center, pole, or center of perspectivity.
Karl von Staudt introduced the notation
for the relation of triangles ABC and abc.