In geometry, a Cartesian oval is a plane curve consisting of points that have the same linear combination of distances from two fixed points (foci). These...

Moss's egg superellipse Cartesian oval stadium An ovoid is the surface in 3-dimensional space generated by rotating an oval curve about one of its axes...

hyperbola. In addition, two foci are used to define the Cassini oval and the Cartesian oval, and more than two foci are used in defining an n-ellipse. An...

is an aspheric lens whose surfaces are surfaces of revolution of a cartesian oval. Pedrotti, F.L. (2005), Introduction to Optics, vol. 2, Prentice Hall...

called analytic geometry Cartesian morphism, formalisation of pull-back operation in category theory Cartesian oval, a curve Cartesian product, a direct product...

a point on the circle is a limaçon. A particular special case of a Cartesian oval is a limaçon. Roulette Centered trochoid List of periodic functions...

Dancing Cartesian Devil A Cartesian diver or Cartesian devil is a classic science experiment which demonstrates the principle of buoyancy (Archimedes'...

of various other figures, including the Cartesian oval, the ellipse, the superellipse, and the Cassini oval. Each type of figure is a circle for certain...

spiral Astroid Cardioid Deltoid Ellipse Various lemniscates Oval Cartesian oval Cassini oval Oval of Booth Superellipse Taijitu Tomoe Magatama List of triangle...

approaches infinity. This fact was applied by Archimedes to approximate π. A Cartesian oval is a set of points such that a weighted sum of the distances from any...

cross-section of the shape devised by Descartes for this purpose is known as a Cartesian oval. The Visby lenses found in Viking treasures on the island of Gotland...

Mathematics portal Astronomy portal Biography portal Technology portal Cartesian oval, a generalization of the ellipse Circumconic and inconic Distance of...

include Ampersand curve Bean curve Bicorn Bow curve Bullet-nose curve Cartesian oval Conchoid of Dürer Cruciform curve Deltoid curve Devil's curve Hippopede...

surface. Descartes showed that lenses whose surfaces are well-chosen Cartesian ovals (revolved around the central symmetry axis) can perfectly image light...

hippopedes and the family of Cassini ovals. The name is from σπειρα meaning torus in ancient Greek. The Cartesian equation can be written as ( x 2 + y...

Bipolar coordinates Biangular coordinates Lemniscate of Bernoulli Oval of Cassini Cartesian oval Ellipse Weisstein, Eric W. "Bipolar coordinates". MathWorld...

properties of ellipses, Cartesian ovals, and related curves with more than two foci. The work, of 1846, "On the description of oval curves and those having...

r=ae^{\theta \cot \alpha }} Pole p = r sin ⁡ α {\displaystyle p=r\sin \alpha } Cartesian oval | x | + α | x − a | = C , {\displaystyle |x|+\alpha |x-a|=C,} Focus...

a − b sin 2 θ ) {\displaystyle r^{2}=4b(a-b\sin ^{2}\!\theta )} or in Cartesian coordinates ( x 2 + y 2 ) 2 + 4 b ( b − a ) ( x 2 + y 2 ) = 4 b 2 x 2...

mathematical curves with a piece of twine, and the properties of ellipses, Cartesian ovals and related curves with more than two foci. It has to be read on his...

be positive or negative. Descartes introduced these ovals, which are now known as Cartesian ovals, to determine the surfaces of glass such that after...

Cartesian plane Cartesian tensor Cartesian monoid Cartesian monoidal category Cartesian closed category Cartesian oval Cartesian product Cartesian product of...

In philosophy of mind, cartesian materialism, a term coined by Daniel Dennett, views consciousness as tied to one or more specific brain areas that capture...

Y are both sets of real numbers, the function f can be graphed in the Cartesian coordinate system. In this case, the domain is represented on the x-axis...

various shapes between a rectangle and an ellipse. In two dimensional Cartesian coordinate system, a superellipse is defined as the set of all points...

location missing publisher (link) Bacon, Clara Latimer (1913). "The Cartesian Oval and the Elliptic Functions p and σ". American Journal of Mathematics...

to have the value of 2 (R = 2), this equation would be recognized in Cartesian coordinates as the equation for the circle of radius of 2 around the origin...

pattern using a technique called filet crochet, similar to points on the cartesian coordinate system. Contemporary designers continue to make patterns for...

half-width a of a lemniscate. These parameters are related as a = c√2. Its Cartesian equation is (up to translation and rotation): ( x 2 + y 2 ) 2 = a 2 (...

{\displaystyle |p(z)|=c.} This set of numbers may be equated to points in the real Cartesian plane, leading to an algebraic curve ƒ(x, y) = c2 of degree 2n, which...