Visual Dictionary of Special Plane Curves

News: 60+ GeoGebra files can be downloaded. Plane Curves: GeoGebra Files Index. Robert Yate's book also available: “Curves And Their Properties” by Robert Yates

Special Plane Curves

Sandvik

Ancient curves

ball shadow
Conic Sections
parabolaReflector
Parabola
hyperbolaFamily2
Hyperbola
ellipseFamily2
Ellipse
cissoidOfDioclesTitle
Cissoid of Diocles
conchoidOfNicomedesFamily
Conchoid of Nicomedes
quadratrixOfHippias
Quadratrix Of Hippias
https://www.aliceloan.com

Spirals

archimedes spiral
Archimedean Spiral
equiangularSpiralEvolute1
Equiangular Spiral
lituus
Lituus
clothoid
Cornu Spiral

Cyclodal Curves

epitrochoid spiralgraph
Epitrochoid
hypotrochoid spiralgraph
Hypotrochoid
epiHypocycloidNestEvEpi epiHypocycloidNestEvHypo
Epicycloid and Hypocycloid
real roses
Rose Curve
astroid
Astroid
deltoidSecant
Deltoid
nephroidByEnvOfCircle
Nephroid
cardioidByCaustic
Cardioid
trochoidBWPattern
Trochoid
cycloidGen
Cycloid

Era of Analytic Geometry and Calculus

cassinianOvalMask
Cassinian Oval
cross curve const
Cross Curve
foliumOfDescartes
Folium of Descartes
piriform const
Piriform
semicubicParabolaDroplet
Semicubic Parabola
tractrixGen
Tractrix
trisectrixTrisect
Trisectrix
triOfMaclaurinQT
Trisectrix of Maclaurin
lemniscateOfBernoulliEnvC
Lemniscate of Bernoulli
figure8 const
Lemniscate of Gerono
limaconOfPascal2
Limacon Of Pascal
witchOfAgnesiNormal
Witch of Agnesi

Era of Modern Math

trig2
Sine Curve
catenayByCaustic
Catenary
bezier curve
Bezier Curve

Methods of Generating New Curves

CausticsCissoid (General) □ Conchoid (General) □ Derivative and Integral □ EnvelopeEvoluteInvoluteInversionIsoptic and OrthopticParallel CurvesPedal CurveRadialRoulette & Glissette

Math of Curves

Coordinate SystemsCoordinate TransformationVectorsNaming and Classification of Curves
CuspCurvature
work in progress: line, circle, exponential curve, Spiric Sections, Hyperbolic Sine, Lissajous, Polynomial.

Misc Galleries

A Gallery Of Famous SurfacesMathematics of Seashell ShapesSpirals Photo ExhibitCurlicues Photo ExhibitInversion Image GalleryTrochoid Animation Gallery

Info About This Site

What's New: 2010-11-20

About this project, acknowledgement, copyright and usage.

□ Software Aids: Mathematica icon Mathematica, and Plane Geometry Softwares movie icon gsp icon Cabri icon gcf icon

□ References: Printed References, Online References, Robert Yates's Curves and Their Properties

Curve Forum, CD-ROM of This site

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