About: Planar Curves

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About: Planar Curves - Numericana Goto Sponge NotDistinct Permalink

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Subject	geometry, planar curves, radius of curvature, stationary point, inflexion point, inflection points, confocal conic sections, parabola, parabolic arc, hyperbola, ellipse, witch of Agnesi, versiera, associated circle, curvilinear abscissa, curvilinear absissa, catenary, chainette, Descartes ovum, Cassini ovals, Cassinian oval, lemniscate of Bernoulli, Bezier cubic spline, Pierre Bezier cubics, parabolic arc, piecewise circular curve, intrinsic equation, quadratrix of Hippias of Elis, trisectrix of Hippias, Hippias quadratrix, constructible points, staightedge and compass, compass alone, Euphorbus, Euphorbe, Mohr-Mascheroni contructions, Mohr-Mascheroni theorem, Jakob Steiner's inversion
Title	Planar Curves - Numericana
Creator	Gerard Michon
Description	A catalog of famous planar curves. Discussion of a few special curves and splines.
content	http://dev.restore.ovi.cnr.it:8890/about/id/entity/http/www.numericana.com/answer/curve.htm#content
links to	https://en.wikipedia.org/wiki/Evolute https://en.wikipedia.org/wiki/Involute https://en.wikipedia.org/wiki/Dandelin_spheres https://en.wikipedia.org/wiki/Hyperbolic_spiral https://en.wikipedia.org/wiki/Neusis_construction http://www.numericana.com/answer/curve.htm#lemniscate https://en.wikipedia.org/wiki/Catenary http://www.numericana.com/answer/curve.htm#catenary http://www.numericana.com/answer/curve.htm#cassini http://www.numericana.com/answer/curve.htm#limacon http://www.numericana.com/answer/curve.htm#ovum http://www.numericana.com/answer/curve.htm#envelope http://www.numericana.com/answer/curve.htm#evolute http://www.numericana.com/answer/curve.htm#involute http://www.numericana.com/answer/curve.htm#parallel http://www.numericana.com/answer/curve.htm#nephroid http://www.numericana.com/answer/curve.htm#freeth http://www.numericana.com/answer/curve.htm#bezier http://www.numericana.com/answer/curve.htm#volute http://www.numericana.com/answer/curve.htm#intrinsic http://www.numericana.com/answer/curve.htm#osculating http://www.numericana.com/answer/calculus.htm#parabola http://www.numericana.com/answer/gears.htm#ellipses http://www-history.mcs.st-andrews.ac.uk/Curves/Curves.html http://www.2dcurves.com http://curvebank.calstatela.edu/famouscurves/famous.htm http://poncelet.math.nthu.edu.tw/disk3/cabrijava/compass.html https://www.youtube.com/watch?v=kAyAADExL9Q http://answers.yahoo.com/question/index?qid=20080819132427AAfFxDn http://www.geometrie.tugraz.at/wallner/h_ivory.pdf https://en.wikipedia.org/wiki/Germinal_Pierre_Dandelin http://www.numericana.com/fame/bio.htm#morton mailto:jsouther55@sbcglobal.net http://www-history.mcs.st-andrews.ac.uk/Curves/Hyperbolic.html http://mathworld.wolfram.com/HyperbolicSpiral.html http://www.numericana.com/answer/calculus.htm#deriv http://www-history.mcs.st-andrews.ac.uk/Biographies/Jungius.html http://www.numericana.com/arms/index.htm#jefferson http://members.aol.com/jeff570/c.html https://www.youtube.com/watch?v=AYIQYZuQNMw http://www-history.mcs.st-andrews.ac.uk/Curves/Tractrix.html https://en.wikipedia.org/wiki/Tractrix https://en.wikipedia.org/wiki/Pseudosphere#Tractricoid https://en.wikipedia.org/wiki/Luigi_Guido_Grandi http://www.numericana.com/answer/curve.htm#multipolar http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Pascal_Etienne.html https://en.wikipedia.org/wiki/Envelope_(mathematics)#Envelope_of_a_family_of_curves http://www.numericana.com/answer/gears.htm#involute https://en.wikipedia.org/wiki/Richard_A._Proctor http://www.daviddarling.info/encyclopedia/N/nephroid.html http://www-history.mcs.st-andrews.ac.uk/Curves/Nephroid.html http://mathworld.wolfram.com/Nephroid.html http://freethnotes.net/wiki/tiki-index.php?page=Thomas+Jacob+Freeth+1819 http://www-history.mcs.st-andrews.ac.uk/Curves/Freeths.html http://mathworld.wolfram.com/FreethsNephroid.html http://www.flutterby.com/archives/1999_Dec/7_DeadPierreBezier.html http://www.cnam.fr mailto:gelsus@verizon.net http://www.numericana.com/fame/giants.htm#hippieas http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Heath.html http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Archytas.html https://www.youtube.com/watch?v=hoh4TmPzu1w http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Mascheroni.html http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Mohr.html http://www.geocities.com/robinhuiscool/mascheroni.html http://www.numericana.com/answer/curve.htm#circumcenter http://www.numericana.com/answer/curve.htm#doubling https://en.wikipedia.org/wiki/Tait%E2%80%93Kneser_theorem https://en.wikipedia.org/wiki/Adolf_Kneser https://arxiv.org/abs/1207.5662 https://www.genealogy.math.ndsu.nodak.edu/id.php?id=165741 https://en.wikipedia.org/wiki/Sergei_Tabachnikov http://www.numericana.com/arms/index.htm#descartes https://en.wikipedia.org/wiki/Adolphe_Quetelet https://en.wikipedia.org/wiki/%C3%89tienne_Ghys https://en.wikipedia.org/wiki/Peter_Tait_(physicist) http://www.numericana.com/answer/geometry.htm#centrarc http://www.numericana.com/answer/geometry.htm#areas http://www.numericana.com/answer/geometry.htm#ellipticarc http://www.numericana.com/answer/geometry.htm#conic http://www.numericana.com/answer/geometry.htm#centroid http://www.numericana.com/answer/geometry.htm#focus http://www.numericana.com/answer/formula.htm http://www.numericana.com/answer/curvature.htm#basic http://www.numericana.com/answer/culture.htm#polygons http://www.numericana.com/arms/index.htm#cassini http://www.numericana.com/answer/counting.htm#pascal http://www.numericana.com/answer/surface.htm http://www.numericana.com/ http://www.numericana.com/answer/index.htm http://www.numericana.com/answer/units.htm http://www.numericana.com/answer/counting.htm http://www.numericana.com/answer/geometry.htm http://www.numericana.com/answer/algebra.htm http://www.numericana.com/answer/trig.htm

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