Collineation

A transformation of the plane which transforms Collinear points into Collinear points. A projectivecollineation transforms every 1-D form projectively, and a perspective collineation is a collineation which leaves alllines through a point and points through a line invariant. In an Elation, the center and axis are incident; in aHomology they are not. For further discussion, see Coxeter (1969, p. 248).

References

Coxeter, H. S. M. ``Collineations and Correlations.'' §14.6 in Introduction to Geometry, 2nd ed. New York: Wiley, pp. 247-251, 1969.

• Function
• Functional
• Functional Analysis
• Functional Calculus
• Functional Derivative
• Function Field
• Function Space
• Functor
• Fundamental Class
• Fundamental Continuity Theorem
• Fundamental Discriminant
• Fundamental Forms
• Fundamental Group
• Fundamental Homology Class
• Fundamental Lemma of Calculus of Variations
• Fundamental System
• Fundamental Theorem of Algebra
• Fundamental Theorem of Arithmetic
• Fundamental Theorem of Curves
• Fundamental Theorem of Directly Similar Figures
• Fundamental Theorem of Gaussian Quadrature
• Fundamental Theorem of Genera
• Fundamental Theorem of Plane Curves
• Fundamental Theorem of Projective Geometry
• Fundamental Theorem of Space Curves