Lens
A figure composed of two equal and symmetrically placed circular Arcs. It is also known as the FishBladder (Pedoe 1995, p. xii) or Vesica Piscis. The latter term is often used for the particular lens formed by theintersection of two unit Circles whose centers are offset by a unit distance (Rawles 1997). In thiscase, the height of the lens is given by letting 
in the equation for a Circle-Circle Intersection
 | (1) |
. The Area of the Vesica Piscis is given by plugging 
into theCircle-Circle Intersection area equation with 
, | (2) |
 | (3) |
Renaissance artists frequently surrounded images of Jesus with the vesica piscis (Rawles 1997). An asymmetrical lens isproduced by a Circle-Circle Intersection for unequal Circles.
See also Circle, Circle-Circle Intersection,Flower of Life, Lemon, Lune (Plane), Reuleaux Triangle, Sector,Seed of Life, Segment, Venn Diagram
References
Pedoe, D. Circles: A Mathematical View, rev. ed. Washington, DC: Math. Assoc. Amer., 1995. Rawles, B. Sacred Geometry Design Sourcebook: Universal Dimensional Patterns. Nevada City, CA: Elysian Pub., p. 11, 1997.
- Space Groups
- Space of Closed Paths
- Span (Geometry)
- Span (Link)
- Span (Polynomial)
- Span (Set)
- Span (Vectors)
- Sparse Matrix
- Spearman Rank Correlation Coefficient
- Special Curve
- Special Function
- Special Linear Group
- Special Matrix
- Special Orthogonal Group
- Special Point
- Special Series Theorem
- Special Unitary Group
- Species
- Specificity
- Spectral Norm
- Spectral Power Density
- Spectral Radius
- Spectral Rigidity
- Spectral Theorem
- Spectrum (Operator)