Example 5.  Consider the parabola  [Graphics:Images/CurvatureMod_gr_187.gif] at the point  [Graphics:Images/CurvatureMod_gr_188.gif].  Draw the circle of curvature for various values  
[Graphics:Images/CurvatureMod_gr_189.gif]

Solution 5.

[Graphics:../Images/CurvatureMod_gr_190.gif]


[Graphics:../Images/CurvatureMod_gr_191.gif]

[Graphics:../Images/CurvatureMod_gr_192.gif]

 

 

 

[Graphics:../Images/CurvatureMod_gr_193.gif]


[Graphics:../Images/CurvatureMod_gr_194.gif]

[Graphics:../Images/CurvatureMod_gr_195.gif]

[Graphics:../Images/CurvatureMod_gr_196.gif]

[Graphics:../Images/CurvatureMod_gr_197.gif]

[Graphics:../Images/CurvatureMod_gr_198.gif]

[Graphics:../Images/CurvatureMod_gr_199.gif]

[Graphics:../Images/CurvatureMod_gr_200.gif]

[Graphics:../Images/CurvatureMod_gr_201.gif]

[Graphics:../Images/CurvatureMod_gr_202.gif]

[Graphics:../Images/CurvatureMod_gr_203.gif]

[Graphics:../Images/CurvatureMod_gr_204.gif]

[Graphics:../Images/CurvatureMod_gr_205.gif]

[Graphics:../Images/CurvatureMod_gr_206.gif]

[Graphics:../Images/CurvatureMod_gr_207.gif]

[Graphics:../Images/CurvatureMod_gr_208.gif]

[Graphics:../Images/CurvatureMod_gr_209.gif]

[Graphics:../Images/CurvatureMod_gr_210.gif]

[Graphics:../Images/CurvatureMod_gr_211.gif]

[Graphics:../Images/CurvatureMod_gr_212.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004