Algorithm to draw a perpendicular line on Google earth (KML)

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I have two points say A (lat,lon ) and B(lat,lon) and I want to draw a perpendicular bisector line to AB such that any point (C) on the perpendicular line satisfies AC=BC.

All I want is a function which takes A (lat,lon) B (lat,lon) and distance from the mid point of A and B and returns lat,lon (C) such AB = AC.

The end goal is to draw various circle with AB as chord.



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