Lines through Points in the Poincaré Disk

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The Poincaré disk is a model for hyperbolic geometry in which a line is represented as an arc of a circle whose ends are perpendicular to the disk's boundary. This Demonstration allows you to draw lines, or line segments, through multiple points in the model.
Contributed by: Brett Champion (March 2011)
Open content licensed under CC BY-NC-SA
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"Lines through Points in the Poincaré Disk"
http://demonstrations.wolfram.com/LinesThroughPointsInThePoincareDisk/
Wolfram Demonstrations Project
Published: March 7 2011