
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.




5 OPEN WINDOW 320, 200 : WINDOW ORIGIN "CC"
10 LET A=1.5
20 LET B=0.7
30 FOR T=0 TO 30*PI STEP 0.05
40 LET R=A+B*T
50 LINE TO R*COS(T),R*SIN(T)
60 NEXT T