Vesica Pisces

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

1. Determine the given circle.

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

3. Construct a circle centered at one of the intersections of a centerline and circle 1 (in this case, the righthand intersection of the horizontal centerline), passing through the center of circle 1.

4. Circles 1 and 3 together make up the Vesica Pisces, they are equal and pass through each other's center.

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Copyright © 2001, Zef Damen, The Netherlands