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extrema / usr / share / extrema / Scripts / parametricPath.pcm
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clear
window 0
defaults
!
define\constants
generate phi 0,,3*pi 100
a=0.2
b=0.5
x=a*phi-b*sin(phi)
y=a-b*cos(phi)
f=2*phi^2-3*phi+5
set colormap rainbow
get colormapsize csize
c=int(f*csize/max(f)+0.99)
scales\-messages min(x) max(x) min(y) max(y)
set
 plotsymbol 0
 %xnumbersheight 3
 %ynumbersheight 3
 curvelinewidth 15
 %xupperaxis 80
 
graph\axesonly
do i = [1:len(phi)-1]
 set curvecolor c[i]
 graph\overlay [x[i];x[i+1]] [y[i];y[i+1]]
enddo
scales\-messages 0 1 min(f) max(f)
generate tmp min(f),,max(f) len(phi)
set
 %xloweraxis 85
 %xupperaxis 90
 xaxison 0
 yaxison 1

graph\axesonly\yonright 
do i = [1:len(phi)-1]
  set curvecolor c[i]
  graph\overlay [0.5;0.5] [tmp[i];tmp[i+1]]
enddo
set
 %textheight 6
 textfont 'Arial Black'
 textalign 1
 textinteractive 0
 %xtextlocation 10
 %ytextlocation 90
 
text 'Prolate Cycloid'