Affine Geometry
Affine Geometry is a branch of mathematics that studies the properties of figures that remain invariant under affine transformations. These transformations include operations like translation, scaling, and rotation, which preserve points, straight lines, and planes. Unlike Euclidean Geometry, it does not focus on angles or distances, making it useful for understanding shapes and their relationships in a more abstract way.
In Affine Geometry, parallel lines remain parallel after transformations, and the concept of midpoints is preserved. This field is essential in various applications, including computer graphics, where it helps in rendering images and manipulating shapes without altering their fundamental structure.