Figure Asymptote animations -- 010

Posted on 2011-01-01 Edited on 2025-04-20 In Tech , Programming , Asymptote , Animation

An Asymptote code and the generated picture animations--010.

🔗This picture comes from the Asymptote gallery of topic animations

Show animations/fig0110.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Animation
Tags : #Ellipse | #Tangent | #Geometry | #Animation

import geometry;
import animate;
// settings.tex="pdflatex";
// settings.outformat="pdf";

animation anim;
size(12cm);

point F1=(0, 0), F2=(0, -3);
dot("F", F1);

ellipse el1=ellipse(F1, F2, 2), el2;
point Fp1=shift(0, 2*el1.a)*F1;
dot("F'", Fp1);

line tgt, saxe=line(F1, false, -F2);

for (int i=0; i < 360; i += 5) {
  save();
  ellipse el=rotate(i, F1)*el1;
  point M=intersectionpoints(el, saxe)[0];
  tgt=tangents(el, M)[0];
  draw(tgt, 0.8*red);
  draw((reflect(tgt)*el)^^el, linewidth(bp));
  anim.add();
  restore();
}

erase();
anim.movie();