Consider the inversion of circles(w1 and w2) w.r.t the circle(c) that gives circles of infinite radius(t1 & t2 respectively).
What is the nature of the generalised circles t1 and t2 (are they intersecting at one point OR concentric)?
Is it possible to get t1 and t2 such that they are concentric circles of infinite radius?
Parallel lines as generalised circles in inversive geometry
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inversive-geometry
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0Can we say that the parallel lines t1 and t2 meet at a point at infinity ? – 2017-01-22
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0Yes inversion moves the center of the inversion circle to infinity – 2017-05-26
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0Thank you for the reply. Is there a concept such as concentric circles of infinite radius( if we imagine the circle t1 to be moved half the distance between t1 and t2 ,then we ge t two concentric circles of infinite radius). – 2017-05-26
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0Not sure but there is something like the angle between the circles w1 and w2 in your example they are tangent to each other so the lines are parallel – 2017-05-26