This code is very efficient.
p1=plot(.3/x, (x, .38, 2),thickness=2,ticks=[[], []]) p2=plot(.4/x, (x, .5, 2),thickness=1, linestyle="--") p3=plot(0.6-.305*x, (x, 0, 1.96),thickness=2,color='red') t1=text("$\overline{U}^1(x)$", (2, .3), fontsize=12, color="black") t2=text("$\overline{U}^\star(x)$", (2, .1), fontsize=12, color="black") t3=text("$x^\star$", (1, -.05), fontsize=12, color="black") t4=text("$y^\star$", (-0.05,.3), fontsize=12, color="black") t5=text("$R/p_x$", (2, -.05), fontsize=12, color="black") t6=text("$R/p_y$", (-0.075, .6), fontsize=12, color="black") c1=circle((1,.3), .015, fill=True, edgecolor='green', facecolor='green') l1=line(([1,0],[1,0.2975],[0,0.2975]), linestyle="--",color='red') g=p1+p2+p3+t1+t2+t3+t4+t5+t6+l1+c1 g.axes_labels(['$x$','$y$']) g.set_legend_options(font_size=6) g
It does exactly what I expect. I use the last version of sagemath on Windows. I want to interact it on the parameters $R$, $p_x$, $p_y$, to plot the contours $U$ and with the help of sliders change the curve until it become tangent to the line. I do not know why all my tentative to use interact with a less complex graphics fails. Need help. Thank you.
PS Need help does'nt signifie to do the work for me but to help me to start. I want to become expert in Sagemath