
Number of loops 
4

transformation ratio 
i=4:3

Number of cycles 
3


Remarks about the point, which creates the epitrochoid
 Remark about the shape of the epitochoid

The point (which created the epitrochoid) is on the edge of a ring


approximate straightline patterns 
0 
cusps 
0 
selfintersection points 
8 
selftangential points 
0 
number of alterations of
the center of curvature

0 


Point is identical with the center of the wheel
 The epitrochoid is a circle



Point resides on the ringshaped surface between the center of the wheel and the BALL Circle (BALL Curve)
 The center of curvature does not alternate to the other site of the curve.



The point is a part of the BALL Circle (BALL Curve)
 The BALL Circle resides always between the pivot and the outer edge of the moving wheel

The radius of the BALL Circle is
1.285714285714286
for this transmission ratio
(multiplied by the radius of the moving wheel)



Point resides between the BALL Circle (BALL Curve) and the Moving Centrode



Point is part of the Moving Centrode
 The Moving Centrode is identical with the tread of the moving wheel.

The radius of the circular Moving Centrode is
3.0
(multiplied by the radius of the moving wheel)



Point is outside of the Moving Centrode (outside of the tread of the wheel)
 Point resists between Moving Centrode and first Transition Curve.



Point is part of the Transition Curve 1.
(of 2 Transition Curves)
 The circular Transition Curve resides outside the tread of the moving wheel

The radius of the Transition Curve is smaller or identical with the distance between the
pivot of the moving wheel
and the
pivot of the fixed wheel

The radius of the Transition Curve for this transmission ratio is
6.136
(multiplied by the radius of the moving wheel)

In this general case the nearby loops are in contact
(and not the opposite loops)
.



Point resids outside of the Transition Curve 1
(of 2 Transition Curves)

The variaton of the distance between the
point generating the epitrochoid
and the
pivot of the moving wheel
does not modify the qualitative characteristic of the shape of the epitrochoid as long a the point generating the epitrochoid
is positioned between Transition Curve1. and the Transition Curve
2.



Point is part of the Transition Curve 2.
(of 2 Transition Curves)
 The circular Transition Curve resides outside the tread of the moving wheel

The radius of the Transition Curve is smaller or identical with the distance between the
pivot of the moving wheel
and the
pivot of the fixed wheel

The radius of the Transition Curve for this transmission ratio is
7.0
(multiplied by the radius of the moving wheel)

The radius of the Transition Curve is identical with the distance of both wheels:
In this special case only the opposite loops are in contact and not the nearby loops



Point resids outside of the Transition Curve 2
(of 2 Transition Curves)

Any stretching of the distance between the
point generating the epitrochoid
and the
pivot of the moving wheel
do not change the qualitative characteristic of the shape of the epitrochoid as long as the point generating the epitrochoid
resides outside of the largest Transition Curve.
