Non-Euclidean Geometry
Desargues' Theorem is a fundamental result in projective geometry that states if two triangles are positioned so that their corresponding vertices lie on a common line (the axis of perspective), then the intersection points of the pairs of opposite sides also lie on a straight line (the line of perspective). This theorem highlights the relationship between triangles in a projective plane and forms a basis for understanding projective transformations and homogeneous coordinates.
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