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Projective Geometry
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== <span style="color: #FFFFFF;">Remembering</span> == * '''Projective Geometry''' β The study of properties invariant under projection. * '''Central Projection''' β Mapping points to a surface through a single "Eye" point. * '''Point at Infinity''' β The place where parallel lines appear to meet on the horizon. * '''Line at Infinity''' β The "Horizon" itself in a 2D projection. * '''Projective Plane''' β A plane extended to include all points at infinity. * '''Cross-Ratio''' β A specific mathematical ratio that never changes, even if you stretch or tilt a shape. * '''Duality''' β The surprising principle that every theorem about "Points and Lines" is also true if you swap the words "Point" and "Line." * '''Homogeneous Coordinates''' β A 4D coordinate system used to represent 3D projective space. * '''Perspective''' β The art and science of representing 3D depth on a 2D surface. </div> <div style="background-color: #006400; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;">
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