
How to construct a Vesica Pisces (two equal circles passing through each other's center), inscribed in a given circle?

1. 
 Determine the given circle.


2. 
 Draw the horizontal and vertical centerlines of circle 1.


3. 
 Construct the inscribed equilateral triangle of circle 1, pointing to the left.


4. 
 Construct the inscribed equilateral triangle of circle 1, pointing to the right.


5. 
 Construct a circle, passing through the upper and lower mutual intersections of triangles 3 and 4, and passing through the lefthand angular point of triangle 3.


6. 
 Construct a circle, passing through the upper and lower mutual intersections of triangles 3 and 4, and passing through the righthand angular point of triangle 4.


7. 
 Circles 5 and 6 together make up the Vesica Pisces to be constructed, are equal, pass through each other's center, and are inscribed in the given circle.

