Cycloid, Epicycloid, Hypocycloid - Arc of tangents method

Arc of Tangents method
Cycloid

Drawn by R.Ramakutty





Epicycloid 




Draw arc with 2' as centre and radius = 1-2
Draw arc with 3' as centre and radius = 1-3
Draw arc with 4' as centre and radius = 1-4
Draw arc with 5' as centre and radius = 1-5
Draw arc with 6' as centre and radius = 1-6
Draw arc with 7' as centre and radius = 1-7
Similarly on the other side.
Draw a free hand curve tangent to all arcs.

Hypocycloid