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This figure shows the nephroid as an epicycloid in another way.
I believe that history is an involuted epicycloid and not a straight line at all.
The epicycloid is a special kind of epitrochoid.
An epicycloid and its evolute are similar.
The best-known of these is the cardioid, which is an epicycloid with one cusp.
An epicycloid is formed when the rolling circle is outside a master circle.
The properties of the cycloid, can be adapted to the hypocycloid and epicycloid.
The nephroid is also an epicycloid of two cusps.
It is therefore a type of limaçon and can also be defined as an epicycloid having a single cusp.
Both colloid, caudate, and epicycloid, of course.
Epicycloid: The point is on the edge of the circle, which rolls not on a line but on the outside of another circle.
Allows to draw Polygons, Involutes, Hypocycloid, Epicycloid, Rose, Sinusoid from %1 data.
The gear tooth profile is based on the epicycloid and hypocycloid curves, which are the curves generated by a circle rolling around the outside and inside of another circle, respectively.
In geometry, an epicycloid is a plane curve produced by tracing the path of a chosen point of a circle - called an epicycle - which rolls without slipping around a fixed circle.
The special cases of the epicycloid and hypocycloid, generated by tracing the locus of a point on the perimeter of a circle of radius while it is rolled on the perimeter of a stationary circle of radius , have the following properties: