I am trying to plot a set of curves f(a,b,t) along t with a,b = -10, -9, ..., 9, 10.
I can use Manipulate to draw 1 curve, and then change the curve shape by revising the value of a and b by dragging the button:-
Manipulate[ParametricPlot[{(a+b*t)/Sqrt[1-t^2], (a*t+b)/Sqrt[1-t^2]}, {t, -.9, .9}],{a, -10, 10},{b, -10, 10}]
But I want lots of stationary lines, not 1 dynamic line. I found a solution from a previous post by using Table, but seems that it works for simple Plot but it's not applicable to ParametricPlot.
I tried Table in the following code, but there is no line being shown:-
ParametricPlot[Evaluate@Table[{(a+b*t)/Sqrt[1-t^2], (a*t+b)/Sqrt[1-t^2]},{a, -10, 10,1},{b, -10, 10,1}], {t, -.9, .9}]
How can I draw the lines?
Thanks!
Flatten[]:ParametricPlot[Evaluate[Flatten[Table[{(a + b*t)/Sqrt[1 - t^2], (a*t + b)/Sqrt[1 - t^2]}, {a, -10, 10}, {b, -10, 10}], 1]], {t, -.9, .9}], which yields this. – J. M.'s missing motivation Apr 13 '18 at 06:23Flatten[]?) – J. M.'s missing motivation Apr 13 '18 at 06:44