I have three circles with equal radius ($r$). I want to formulate the bottom and topmost point of their intersection as a function of $r$.

Sample figure

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    $\begingroup$ The distance will also depend heavily on the circles centers. $\endgroup$ – Michael Hoppe Dec 13 '18 at 18:56
  • $\begingroup$ Yes. I also have the centers of the circles. I am trying to formulate the points (top and bottom) as a function of radius and centers. $\endgroup$ – Rafi Dec 13 '18 at 18:59
  • $\begingroup$ Would you like to share those centers with us? $\endgroup$ – Michael Hoppe Dec 13 '18 at 19:18
  • $\begingroup$ consider the centers are (x1,y1), (x2,y2), (x3,y3). Actually, I want a generalized formula that works for all cases. $\endgroup$ – Rafi Dec 13 '18 at 19:35
  • $\begingroup$ What you mean by top or bottom? seems like the y values could suffice to determine. $\endgroup$ – Moti Dec 15 '18 at 1:45

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