The epicycloid is a special kind of epitrochoid. An epicycle with one cusp is a cardioid. An epicycloid and its evolute are similar. [1
An epicycloid with one cusp is called a cardioid, one with two cusps is called a nephroid, and one with five cusps is called a ranunculoid. Epicycloids can also be ...
The epicycloid shown is termed the “three-cusped epicycloid” or the “epicycloid of Cremona.”
A cycloid is the curve traced by a point on the rim of a circular wheel as the wheel rolls along a straight line without slippage. It is an example of a roulette, a ...
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epicycloid The parametric equations of an epicycloid are x = (a + b) cos θ - b cos (a + bb θ) y = (a + b) sin θ - b sin (a + bb θ). ep·i·cy·cloid (ĕp′ĭ-sī ...
THE EPICYCLOID. BY. DENNIS ASTLEY & EMILY ASTLEY . The epicycloid is the special plane curve defined as the path traced by a point P on a circle that rolls around a ...
The curve is formed by the locus of a point, attached to a circle, that rolls on 1) the outside of another circle 2). In the curve's equation the first part denotes ...
The shape of the epicycloid is totally determined by the single number N. The general parametric form of an epicycloid is : o RETURN to MAIN Go To TOP ...
10.4 Cycloid In this section, ... Epicycloid An epicycloid is the curve generated by a fixed point on a circle as it rolls without slipping outside a circle.