Multiple parallel lines through a single point in hyperbolic space

Multiple parallel lines through a single point in hyperbolic space
ü If the point sits over a “half circle” line, only “half circle” lines can be parallel
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ü If the point is off to the side of the line, one vertical line will also be parallel
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ü Parallels to a vertical line
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ü If the point is close to the line, the parallels need to fit snugly, but there are still infinitely many