affine geometry
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In affine geometry, one uses Playfair's axiom to find the line through C1 and parallel to B1B2, and to find the line through B2 and parallel to B1C1: their intersection C2 is the result of the indicated translation.
Three-dimensional
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parallelogram
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metric space
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bijection
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parallelism
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Harold Scott MacDonald Coxeter
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Erlangen program
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hyperbolic orthogonality
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mathematics
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Russian
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Latin
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René Descartes
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Archimedes
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geometry
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Pythagoras
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Euclid
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Carl Friedrich Gauss
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Blaise Pascal
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Leonhard Euler
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triangle
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area
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