Neile's Parabola
The solid curve in the above figure which is the Evolute of the Parabola (dashed curve). In CartesianCoordinates,
Neile's parabola is also called the Semicubical Parabola, and was discovered by William Neile in 1657. It was the firstnontrivial Algebraic Curve to have its Arc Length computed. Wallis published the method in 1659, giving Neile thecredit (MacTutor Archive).See also Parabola Evolute
References
Lee, X. ``Semicubic Parabola.''http://www.best.com/~xah/SpecialPlaneCurves_dir/SemicubicParabola_dir/semicubicParabola.html MacTutor History of Mathematics Archive. ``Neile's Semi-Cubical Parabola.''http://www-groups.dcs.st-and.ac.uk/~history/Curves/Neiles.html.
- Great Icosihemidodecacron
- Great Icosihemidodecahedron
- Great Inverted Pentagonal Hexecontahedron
- Great Inverted Retrosnub Icosidodecahedron
- Great Inverted Snub Icosidodecahedron
- Great Pentagonal Hexecontahedron
- Great Pentagrammic Hexecontahedron
- Great Pentakis Dodecahedron
- Great Quasitruncated Icosidodecahedron
- Great Retrosnub Icosidodecahedron
- Great Rhombicosidodecahedron (Archimedean)
- Great Rhombicosidodecahedron (Uniform)
- Great Rhombic Triacontahedron
- Great Rhombicuboctahedron (Archimedean)
- Great Rhombicuboctahedron (Uniform)
- Great Rhombidodecacron
- Great Rhombidodecahedron
- Great Rhombihexacron
- Great Rhombihexahedron
- Great Snub Dodecicosidodecahedron
- Great Snub Icosidodecahedron
- Great Sphere
- Great Stellapentakis Dodecahedron
- Great Stellated Dodecahedron
- Great Stellated Triacontahedron