√3

Square Root of Three — 1.732 : 1 — Vesica Pisces

The Vesica Pisces is created by two identical intersecting circles, the circumference of one intersecting the center of the other. The vulva-shaped space thus created is called the Vesica Pisces.

This is the lid of the Chalice Well designed by Bligh Bond in the early part of this century. It covers one of the most powerful Holy Wells in Britain. The Chalice Well has numerous examples of vesicas. Even Nature demonstrates this.

Vesica Yew

The top half of the Vesica Pisces is the Gothic Arch - see Chartres Cathedral. It is the sacred geometric shape of the Piscean Age.	Gothic arch on the tower on the Glastonbury Tor. This site was a hermitage and retreat for early Christian monks	Gothic arch in Gallilee of Glastonbury Abbey. Note circular Romanesque arches behind in the Mary Chapel.

The Vesica Pisces

Two Circles share a common radius(AB).
Radius AB = 1
The intersecting circles create a Vesica Pisces.
The minor axis of this Vesica Pisces (AB) = 1,
The major axis (CD) = the square root of three, 1.732

Proof: in right triangle (EBC), EB = 1/2 AB, or .5

CB is also a radius of the circle whose center is B, so

CB = AB = 1. Therefore using the Pythagorean Theorem
CD is perpendicular to AB;
therefore angle CEB = 90°

a² + b² = c²

EB² + CE² = CB²

0.52 + CE² = 12

0.25 + CE² = 1

CE² = 0.75

CE = 0.75

CE = 0.8660254038

CE is 1/2 of the major axis CD, therefore

CD = 2 * 0.8660254038

CD = 1.7320508076∞

3 = 1.7320508076∞

Therefore

CD = 1.7320508076∞ = 3

and

CD : AB :: √3 : 1