
The Archimedean spiral is a spiral named after the Greek mathematician Archimedes.



An Archimedean spiral can be described by the equation:






r
=
a
+
b
θ


{\displaystyle \,r=a+b\theta }


with real numbers a and b.



Task
Draw an Archimedean spiral.




1.1 S A=1.5
1.2 S B=2
1.3 S N=250
1.4 F T=1,N; D 2
1.5 X FSKP(2*N)
1.6 Q
 
2.1 S R=A+B*T; D 3
2.2 X FPT(2*T,X1+512,Y1+390)
2.3 S R=A+B*(T+1); D 4
2.4 X FVEC(2*T+1,X2-X1,Y2-Y1)
 
3.1 S X1=R*FSIN(.2*T)
3.2 S Y1=R*FCOS(.2*T)
 
4.1 S X2=R*FSIN(.2*(T+1))
4.2 S Y2=R*FCOS(.2*(T+1))