A lens contained between two circular arcs of radius R, and centers at O₁ and O₂

In geometry, a lens is a convex shape comprising two circular arcs, joined at their endpoints. Geometry ( Greek γεωμετρία; geo = earth metria = measure is a part of Mathematics concerned with questions of size shape and relative position The shape ( OE sceap Eng created thing) of an object located in some space refers to the part of space occupied by the object as determined Circles are simple Shapes of Euclidean geometry consisting of those points in a plane which are at a constant Distance, called the In Geometry, an arc is a closed segment of a Differentiable Curve in the two-dimensional plane; for example a circular If the arcs have equal radii, it is called a symmetric lens. The corresponding concave shape is the lune. A lune is either of two figures both shaped roughly like a crescent Moon. The Vesica piscis is one form of a symmetrical lens; the term is also used for lenses generally. The vesica piscis is a Shape which is the intersection of two Circles with the same radius intersecting in such a way that the center of each circle lies on the circumference

In common usage, the term "lens" is also used to describe the shape of a three-dimensional object obtained by rotating a two-dimensional lens about its narrow axis of symmetry. Such a shape is described as lenticular.

See also

• Mrs. Miniver's problem

References

• Eric W. Mrs Miniver's problem is a Geometry problem about Circles Given a circle A find a circle B such that the area of the intersection of A and B is equal to the Weisstein. . Lens. MathWorld. Retrieved on June 13, 2005. which in turn cites
  • Pedoe, D. (1995). "Circles: A Mathematical View, rev. ed. ". Washington, DC: Math. Assoc. Amer. .  
  • Plummer, H. (1960). An Introductory Treatise of Dynamical Astronomy. York: Dover.  
  • Rawles, B. (1997). Sacred Geometry Design Sourcebook: Universal Dimensional Patterns. . Eagle Point, OR: Elysian Pub. .   page 11
  • Watson, G. N. (1966). A Treatise on the Theory of Bessel Functions, 2nd ed. . Cambridge, England: Cambridge University Press.