Projective geometry is a branch of mathematics that studies the properties of geometric figures that remain invariant under projection, focusing on the relationships between points, lines, and planes. It extends the concepts of geometry by adding 'points at infinity' to account for parallel lines intersecting, offering a more unified and generalized framework for understanding geometric transformations and perspectives.

Projective Geometry

Projective geometry

properties of geometric figures

invariant under projection

relationships between points, lines, and planes

concepts of geometry

points at infinity

parallel lines intersecting

Unified framework for understanding

generalized framework for understanding

Geometric transformations involve changing the position, size, and orientation of shapes in a coordinate plane while preserving certain properties. They are fundamental in fields like computer graphics, robotics, and physics, where manipulating spatial objects is crucial.

geometric transformations

Geometric perspectives

Relevant Degrees

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