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A Different Angle on Perspective

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Abstract:

When a plane figure is photographed from different viewpoints, lengths and angles appear distorted. Hence it is often assumed that lengths, angles, protractors, and compasses have no place in projective geometry. Here we describe a sense in which certain angles are preserved by projective transformations. These angles can be constructed with compass and straightedge on existing projective images, giving insights into photography and perspective drawing.

Document Type: Research Article

DOI: http://dx.doi.org/10.4169/college.math.j.43.5.354

Publication date: November 1, 2012

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