![]() ![]() Graph Cartesian functions, relations, and inequalities, plus polar, parametric, and ordinary differential equations. ![]() 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 parametric equations for a hypotrochoid are: x ( θ ) = ( R − r ) cos θ + d cos ( R − r r θ ) where LCM is least common multiple. Hypotrochoids (ca 1900), kinematic model by Martin Schilling, series 24, model 3, number 331, Smithsonian Institution negative number DOR2013-50214. Numerically solve and graphically display tangent lines and integrals. ![]() 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. In this sector we can also make use of Graphmatica, a very powerful maths application, but tremendously easy-to-use, ideal for graphical representations, that also includes algebra and calculus functions, being ideal for students and teachers both at high school and university level. a powerful, easy-to-use, equation plotter with numerical and calculus features. ![]()
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