How to find intersection points of 3 circles?

Hello, i have now a problem. I want to find the intersection points of these black area in the picture. i can find the intersection points of these three. But i want to have a code that calculate all the points of intersection points such as, 1 with 2, 2 with 3, 1 with 3 and 1,2,3, In the i wanna have something like:

• 1-2 intersection points minus 1,2,3 intersection points
• 1-3 intersection points minus 1,2,3 intersection points
• 1-2 intersection points minus 1,2,3 intersection points
• 1,2,3 intersection points

and then sum of these 4. Is there any easy way to do that. Thank you!

[Cladio Andrea]

 intersect(intersect(xq(in2),xq(in3)),xq(in4));

thats the code for intersection of these 3 circles

Answer 1

[Image Analyst]

It's just a pair of nested for loops - I'm sure you can figure it out.

for k = 1:3
    for t = (k+1) : 3
      % Determine intersections.
    end
end