set terminal eps color
set output "brachistochrone.eps"
set nokey
set noborder
set noxtics
set noytics
set size ratio -1
set parametric
plot [t=0:5] t-sin(t), cos(t)-1 with lines lw 5
Then touched up with inkscape and exported as png. (Creating png output from gnuplot is bad since then the curve won't be properly anti-aliased.)
This image of simple geometry is ineligible for copyright and therefore in the public domain, because it consists entirely of information that is common property and contains no original authorship.
Heptagon
Captions
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This image was copied from wikipedia:en. The original description was: The cycloid as brachistochrone. Cycloid created with gnuplot using the commands set terminal eps color set output "brachistochrone.eps" set nokey set noborder