dbr:Geometricmodeling dbr:Graphmatica dbr:Hypotrochoid. #Graphmatica equation for hypotrochoids plus#Graph Cartesian functions, relations, and inequalities, plus polar, parametric, and ordinary differential equations. In mathematics, a parametric equation defines a group of quantities as functions of one or. Special cases include the hypocycloid with d = r is a line or flat ellipse and the ellipse with R = 2 r and d > r or d < r ( d is not equal to r). Graphmatica is a powerful, easy-to-use, equation plotter with numerical and calculus features. The best alternative is Wolfram Alpha, which is free. There are more than 25 alternatives to Graphmatica for a variety of platforms, including Windows, Mac, Linux, Online / Web-based and iPad. The parametric equations for a hypotrochoid are: x ( θ ) = ( R − r ) cos θ + d cos ( R − r r θ ) where LCM is least common multiple. In order to develop the parametric equations for this curve, we need to be able to pinpoint the position of our trace point (P) at any given time. Graphmatica is described as 'Is a powerful, easy-to-use, equation plotter with numerical and calculus features:' and is an app. 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).Ī 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. Solve -x 2 - 2/3 x -11In Graphmatica, go to Tool -> Find Interection, then choose the two equations accordingly.
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