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  2. Desmos - Wikipedia

    en.wikipedia.org/wiki/Desmos

    Some 50 employees joined Amplify. Desmos Studio was spun off as a separate public benefit corporation focused on building calculator products and other math tools. [7] In May 2023, Desmos released a beta for a remade Geometry Tool. In it, geometrical shapes can be made, as well as expressions from the normal graphing calculator, with extra ...

  3. Butterfly curve (transcendental) - Wikipedia

    en.wikipedia.org/wiki/Butterfly_curve...

    The curve is given by the following parametric equations: [2] = ... or by the following polar equation: = ...

  4. Parametric equation - Wikipedia

    en.wikipedia.org/wiki/Parametric_equation

    In the case of a single parameter, parametric equations are commonly used to express the trajectory of a moving point, in which case, the parameter is often, but not necessarily, time, and the point describes a curve, called a parametric curve. In the case of two parameters, the point describes a surface, called a parametric surface.

  5. Lemniscate of Bernoulli - Wikipedia

    en.wikipedia.org/wiki/Lemniscate_of_Bernoulli

    In geometry, the lemniscate of Bernoulli is a plane curve defined from two given points F 1 and F 2, known as foci, at distance 2c from each other as the locus of points P so that PF 1 ·PF 2 = c 2.

  6. Parametrization (geometry) - Wikipedia

    en.wikipedia.org/wiki/Parametrization_(geometry)

    In mathematics, and more specifically in geometry, parametrization (or parameterization; also parameterisation, parametrisation) is the process of finding parametric equations of a curve, a surface, or, more generally, a manifold or a variety, defined by an implicit equation. The inverse process is called implicitization. [1] "

  7. Curve fitting - Wikipedia

    en.wikipedia.org/wiki/Curve_fitting

    Fitting of a noisy curve by an asymmetrical peak model, with an iterative process (Gauss–Newton algorithm with variable damping factor α).Curve fitting [1] [2] is the process of constructing a curve, or mathematical function, that has the best fit to a series of data points, [3] possibly subject to constraints.

  8. Hypocycloid - Wikipedia

    en.wikipedia.org/wiki/Hypocycloid

    The red path is a hypocycloid traced as the smaller black circle rolls around inside the larger black circle (parameters are R=4.0, r=1.0, and so k=4, giving an astroid).

  9. Folium of Descartes - Wikipedia

    en.wikipedia.org/wiki/Folium_of_Descartes

    The curve was first proposed and studied by René Descartes in 1638. [1] Its claim to fame lies in an incident in the development of calculus.Descartes challenged Pierre de Fermat to find the tangent line to the curve at an arbitrary point since Fermat had recently discovered a method for finding tangent lines.