Conchoid of Nicomedes
A curve studied by the Greek mathematician Nicomedes in about 200 BC 
, also called the Cochloid. It isthe Locus of points a fixed distance away from a line as measured along a line from the Focus point(MacTutor Archive). Nicomedes recognized the three distinct forms seen in this family. This curve was a favorite with17th century mathematicians and could be used to solve the problems of Cube Duplication and Angle Trisection.
In Polar Coordinates,
 | (1) |
 | (2) |
as an asymptote and the Area between either branch and the Asymptote is infinite. TheArea of the loop is | (3) |
References
Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, pp. 135-139, 1972. Lee, X. ``Conchoid of Nicomedes.'' http://www.best.com/~xah/SpecialPlaneCurves_dir/ConchoidOfNicomedes_dir/conchoidOfNicomedes.html. MacTutor History of Mathematics Archive. ``Conchoid.''http://www-groups.dcs.st-and.ac.uk/~history/Curves/Conchoid.html. Pappas, T. ``Conchoid of Nicomedes.'' The Joy of Mathematics. San Carlos, CA: Wide World Publ./Tetra, pp. 94-95, 1989. Yates, R. C. ``Conchoid.'' A Handbook on Curves and Their Properties. Ann Arbor, MI: J. W. Edwards, pp. 31-33, 1952.
- Inradius
- Inscribed
- Inscribed Angle
- Inside-Outside Theorem
- Insphere
- Instrument Function
- Insufficient Reason Principle
- Int
- Integer
- Integer Division
- Integer Factorization
- Integer-Matrix Form
- Integer Module
- Integer Part
- Integer Relation
- Integer Sequence
- Integrable
- Integral
- Integral Brick
- Integral Calculus
- Integral Cuboid
- Integral Current
- Integral Curvature
- Integral Domain
- Integral Drawing