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The vesica piscis is a type of lensa mathematical shape formed by the intersection of two disks with the same radius, intersecting in such a way that the center of each disk lies on the perimeter of the other. In Italianthe shape's name is mandorla " almond ". This figure appears in the first proposition of Euclid's ElementsAt The Backroom - Lorena C - Dos Rombos it forms the first step in constructing an equilateral triangle using a compass and straightedge.
The triangle has as its vertices the two disk centers and one of the two sharp corners of the vesica piscis. Mathematically, the vesica piscis is a special case of a lensthe shape formed by the intersection of two disks. The mathematical ratio of the height of the vesica piscis to the width across its center is the square root of 3or 1. Archimedes of Syracusein his On the Measurement of the Circleuses these ratios as upper and lower bounds: . The area of the vesica piscis is formed by two equilateral triangles and four equal circular segments.
In the drawing one triangle and one segment appear in blue. By summing the areas of two triangles and four segments, we obtain the area of the vesica piscis:. The two circles of the vesica piscis, or three circles forming in pairs three vesicae, are commonly used in Venn diagrams.
Arcs of the same three circles can also be used to form the triquetra Arctique Circles - Vesica Pisces , and the Reuleaux triangle. In Christian artsome aureolas are in the shape of a vertically oriented vesica piscis, and the seals of ecclesiastical organizations can be enclosed within a vertically oriented vesica piscis instead of the Music (Intro) - Charles Hamilton - The Pink Lavalamp usual circular enclosure.
Also, the icthys symbol incorporates the vesica piscis shape. Ecclesiastical heraldry of the Catholic Church appeared first in sealsnearly all vesica-shaped. The cover of the Chalice Well in Glastonbury SomersetUnited Kingdom depicts a stylized version of the vesica piscis design see picture. The vesica piscis has been used as a symbol within Freemasonrymost notably in the shapes of the collars worn by officiants of the Masonic rituals. The vesica piscis is also used as proportioning system in architecture, in particular Gothic architecture.
The system was illustrated in Cesare Cesariano 's VitruviusArctique Circles - Vesica Pisces he called "the rule of the German architects".
Christ in Majesty Arctique Circles - Vesica Pisces a mandorla-shaped aureola in a medieval illuminated manuscript. Perth College Western Australia logo. From Wikipedia, the free encyclopedia. For swim bladder of a fish, see swim bladder. Church of Scotland logo. The Thirteen Books of Euclid's Elements 2 ed. New York: Dover Publications Inc. Catholic Encyclopedia.
Mackey, Encyclopaedia of Freemasonry, ed. Arctique Circles - Vesica Pisces on Archived from the original PDF on Retrieved CS1 maint: archived copy as title link. Hidden categories: Articles incorporating a citation from the Catholic Encyclopedia with Wikisource reference Webarchive template wayback links CS1 maint: archived copy as title Commons category link from Wikidata.
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