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  2. Hypotrochoid - Wikipedia

    en.wikipedia.org/wiki/Hypotrochoid

    The red curve is a hypotrochoid drawn as the smaller black circle rolls around inside the larger blue circle (parameters are R = 5, r = 3, d = 5).. In geometry, a hypotrochoid is a roulette traced by a point attached to a circle of radius r rolling around the inside of a fixed circle of radius R, where the point is a distance d from the center of the interior circle.

  3. Parametric equation - Wikipedia

    en.wikipedia.org/wiki/Parametric_equation

    With the Cartesian equation it is easier to check whether a point lies on the circle or not. With the parametric version it is easier to obtain points on a plot. In some contexts, parametric equations involving only rational functions (that is fractions of two polynomials) are preferred, if they exist.

  4. List of curves - Wikipedia

    en.wikipedia.org/wiki/List_of_curves

    This page was last edited on 2 December 2024, at 16:34 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may apply.

  5. List of formulas in elementary geometry - Wikipedia

    en.wikipedia.org/wiki/List_of_formulas_in...

    Shape Area Perimeter/Circumference Meanings of symbols Square: is the length of a side Rectangle (+)is length, is breadth Circle: or : where is the radius and is the diameter ...

  6. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    The elements of a polytope can be considered according to either their own dimensionality or how many dimensions "down" they are from the body.

  7. Deltoid curve - Wikipedia

    en.wikipedia.org/wiki/Deltoid_curve

    In geometry, a deltoid curve, also known as a tricuspoid curve or Steiner curve, is a hypocycloid of three cusps.In other words, it is the roulette created by a point on the circumference of a circle as it rolls without slipping along the inside of a circle with three or one-and-a-half times its radius.

  8. Tusi couple - Wikipedia

    en.wikipedia.org/wiki/Tusi_couple

    An animated model of a Tusi couple. The Tusi couple (also known as Tusi's mechanism [1] [2] [3]) is a mathematical device in which a small circle rotates inside a larger circle twice the diameter of the smaller circle.

  9. List of formulas in Riemannian geometry - Wikipedia

    en.wikipedia.org/wiki/List_of_formulas_in...

    This is a list of formulas encountered in Riemannian geometry. Einstein notation is used throughout this article. This article uses the "analyst's" sign convention for Laplacians, except when noted otherwise.

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