Example 6.  Consider the cardioid  [Graphics:Images/CurvatureMod_gr_239.gif],  [Graphics:Images/CurvatureMod_gr_240.gif].  Draw the circle of curvature at   [Graphics:Images/CurvatureMod_gr_241.gif].  

Solution 6.

[Graphics:../Images/CurvatureMod_gr_242.gif]

[Graphics:../Images/CurvatureMod_gr_243.gif]

 

 

[Graphics:../Images/CurvatureMod_gr_244.gif]

[Graphics:../Images/CurvatureMod_gr_245.gif]

[Graphics:../Images/CurvatureMod_gr_246.gif]

 

 

[Graphics:../Images/CurvatureMod_gr_247.gif]

[Graphics:../Images/CurvatureMod_gr_248.gif]

[Graphics:../Images/CurvatureMod_gr_249.gif]

 

 

[Graphics:../Images/CurvatureMod_gr_250.gif]

[Graphics:../Images/CurvatureMod_gr_251.gif]

[Graphics:../Images/CurvatureMod_gr_252.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004