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Question: Join two lines with a pair of spirals?

Question:Join two lines with a pair of spirals?

iloverangers 80 Maple
March 08 2010
0

This is what I have so far

S1:=unapply(u*FresnelS(u)+((1/Pi)*cos((1/2)*Pi*u^2))-(1/Pi),u);

C1:=unapply(u*FresnelC(u)-((1/Pi)*sin((1/2)*Pi*u^2)),u);

with(plottools);

with(plots);

u0:=sqrt(0.25);

e1:=evalf(FresnelC(u0)+FresnelS(u0)*cot((3*Pi)/8));

p1:=display(plot([FresnelC(u),FresnelS(u),u=0..u0]));

p2:=display(plot(x-e1,x=0..1,y=0..1,colour=black));

display(p1,p2);

 

The plot I have so far appears to be correct. However to finish it I require a second spiral from the parameter value u0 to the other line. Where they join must be a distance of e1 from where the lines meet.

Any ideas? 

 
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