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Real projective line (RP1, P(R2))

Ciro Santilli (@cirosantilli, 37) Mathematics Area of mathematics Geometry Projective geometry Real projective space
Updated 2025-07-16  1 By others on same topic  0 Discussions Create my own version
Just a circle.
Take R2 with a line at x=0. Identify all the points that an observer

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  • Synthetic geometry of the real projective plane

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Real projective line by Wikipedia Bot 0
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The real projective line, denoted as \(\mathbb{RP}^1\), is a fundamental concept in projective geometry. It can be understood as the space of all lines that pass through the origin in \(\mathbb{R}^2\). Each line corresponds to a unique direction in the plane, and projective geometry allows for a more compact representation of these directions.
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