File:Poincare disc hyperbolic parallel lines.svg
From Infogalactic: the planetary knowledge core
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Summary
In the Poincaré disc model of the hyperbolic plane, lines are represented by circular arcs orthogonal to the boundary of the closure of the disc. The thin black lines meet at a common point and do not intersect the thick blue line, illustrating that in the hyperbolic plane there are infinitely many lines parallel to a given line passing through the same point. [License: as the sole author of this image, I hereby release it into the public domain.]
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 03:14, 5 January 2017 | | 532 × 532 (550 KB) | 127.0.0.1 (talk) | In the Poincaré disc model of the hyperbolic plane, lines are represented by circular arcs orthogonal to the boundary of the closure of the disc. The thin black lines meet at a common point and do not intersect the thick blue line, illustrating that in the hyperbolic plane there are infinitely many lines parallel to a given line passing through the same point. [License: as the sole author of this image, I hereby release it into the public domain.] |
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