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Cissoid of Diocles - Wikipedia, the free encyclopedia
In geometry, the cissoid of Diocles is an unbounded plane curve with a single ...

http://en.wikipedia.org/wiki/Cissoid_of_Diocles

Cissoid - Wikipedia, the free encyclopedia
So the cissoid is actually the union of the ... If each C1 and C2 are given by the parametric equations. and ... The cissoid of Diocles. x(x2 + y2) + 2ay2 = 0 ...

http://en.wikipedia.org/wiki/Cissoid

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

Cissoid of Diocles
The cissoid of Diocles is an unbounded plane curve with a single cusp, which is ... Implicit equation. Parametric equation. Content copyright 2009 Saltire Software. ...

http://www.geometryatlas.com/entry.php?id=236

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

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

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

Plane Curves - Lemniscate, Cycloid, Hypocycloid, Catenary ...
Plane Curves - Lemniscate, Cycloid, Hypocycloid, Catenary, Trochoid ... CISSOID OF DIOCLES. Equation in rectangular coordinates: y2 = x3/(2a - x) Parametric equations: ...

http://www.math10.com/en/geometry/analytic-geometry/geometry5/special-plane-curves.html

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

PlanetMath: cissoid of Diocles
For deriving the equation of the cissoid, chose the ray $OA$ for the positive $x ... The cissoid has also the parametric presentation (3) Note. ...

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

Index of Classic Plane Curves and Surfaces - The National ...
An index of 62 plane curves created in MATHEMATICA® for the ... Equation and ... Parametric: Cartesian: Polar: Cissoid of Diocles Back. Cartesian: Polar: ...

http://curvebank.calstatela.edu/famouscurves/famous.htm

Fifty Famous Curves, Lots of Calculus Questions, And a Few ...
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

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

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