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Cissoid of Diocles - Wikipedia, the free encyclopedia
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http://en.wikipedia.org/wiki/Cissoid_of_Diocles

Cissoid of Diocles -- from Wolfram MathWorld
The cissoid of Diocles is the roulette of a parabola vertex ... Diocles is given by the parametric equations ... Cissoid of Diocles." From MathWorld--A Wolfram ...

http://mathworld.wolfram.com/CissoidofDiocles.html

Springer Online Reference Works
The parametric equations are. A cissoid is symmetric relative to the -axis (Fig. ... The cissoid is often called the cissoid of Diocles in honour of the Ancient ...

http://eom.springer.de/C/c022340.htm

Math Forum - Ask Dr. Math Archives: College Euclidean/Plane Geometry
Deriving Parametric Equations for Cissoid of Diocles [02/12/2005] How do you derive the parametric equations for the Cissoid of Diocles? ...

http://mathforum.org/library/drmath/sets/college_2d.html

Cissoid of Diocles
Cissoid of Diocles is a special case ... This will give us a polar equation. ... Construct a cissoid of Diocles using circle c1, tangent at A, and pole at O. ...

http://xahlee.org/SpecialPlaneCurves_dir/CissoidOfDiocles_dir/cissoidOfDiocles.html

PlanetMath: cissoid of Diocles
For deriving the equation of the cissoid, chose the ray for the positive -axis. ... The cissoid has also the parametric presentation (3) Note. If we apply the ...

http://planetmath.org/encyclopedia/CissoidOfDiocles.html

Fifty Famous Curves, Lots of Calculus Questions, And a Few Answers
8. Cissoid of Diocles. Cartesian Equation: y. 2. x. 3. 2a x. Polar Equation: r = 2a tan θ sin θ ... Parametric Equations: x(t) = (a + b) cos t bcos((a/b + 1)t) ...

http://facstaff.bloomu.edu/skokoska/curves.pdf

Math Forum: CIGS - Sketchpad, MAA Meetings '94 - Schattschneider
Parametric equations of curves is a main topic in calculus (usually the ... P when point B is animated on the line x = 2a is called the "cissoid of Diocles" ...

http://mathforum.org/sketchpad/maa/doris.html

Cissoid
Cissoid. History. Diocles ( 250 – 100 BC) invented this curve to solve the dou ... This will give us an equation for the. Cissoid in polar coordinates (r, θ) ...

http://xahlee.org/SpecialPlaneCurves_dir/CissoidOfDiocles_dir/cissoid_of_Diocles.pdf

Mathematics, geometry
... ovals, catenary, cayley's sextic, circle, cissoid of Diocles, cochleoid, ... and equation, Orthogonal hyperbola as a special hyperbola, Parametric equations ...

http://www.educypedia.be/education/mathematicsgeometry.htm

8.1 Algebraic Curves
... with the cissoid of Diocles (Figure 2, middle), which has equation (a-x)y=x ... The same property provides the parametric representation x=a(1+sin 2), y=a tan. ...

http://www.geom.uiuc.edu/docs/reference/CRC-formulas/node33.html

Cissoid of Diocles Catacaustic -- from MathWorld
For the parametric representation x = {2t^2\over 1+t^2} y = {2t^3\over 1+t^2} ... Eliminating t gives the Cartesian equation (x^2+y^2+2x)^2-4(x^2+y^2)=0. ...

http://nsdl.org/resource/2200/20061002144347901T

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