Transcendental Curves

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Here is the involute of a circle, along with its parametric equation.
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Here is an Epi Spiral, shown with its polar equation
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Here are Poinsot's two spirals. The one in red is given by the equation r*cosh(n*T), while the one in blue is r*sinh(n*T)
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This curve has an asymptote at the origin and was originally studied by Bernoulli in 1726.
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The cycloid is defined as the locus of a point on the circumference of a circle rolling along a line.
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The caternary, also known as the chainette and the alysoid, describes the form assumed by a perfect flexible chain of uniform density hanging from two...
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Archimedes' spiral is the Archimedean spiral with the polar equation shown below.
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An Archimedean spiral is a spiral with a constant "m" that determines how tightly the spiral is wrapped.
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