do parallel lines meet at infinity?
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In projective geometry, any pair of lines always intersects at some point, but parallel lines do not intersect in the real plane. The line at infinity is added to the real plane. ... The point at which the parallel lines intersect depends only on the slope of the lines, not at all on their y-intercept
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In projective geometry, any pair of lines always intersects at some point, but parallel lines do not intersect in the real plane. ... This completes the plane, because now parallel lines intersect at a point which lies on the line at infinity.
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