/* -*-ePiX-*- */
#include "epix.h"
using namespace ePiX;

P f(double t)
{
  return P(t, recip(t));
}

int main()
{
  picture(P(0,0), P(4,2), "4 x 2in");

  begin();

  P O(0, 0), pX(xmax(), 0), pY(0, ymax()), pA(f(3.5)), pB(f(1)), pC(f(0.55)),
    pQ(f(2)), pM(pQ & E_1), pN(pQ & E_2);

  bold();
  line(O, pX);
  line(O, pY);

  plot(f, 0.5, xmax(), 40);

  line(pQ, pM);
  line(pQ, pN);

  dot(pA, P(2, 2), "$A$", tr);
  dot(pB, P(2, 2), "$B$", tr);
  dot(pC, P(2, 2), "$C$", tr);

  dot(pA & E_1);
  dot(pC & E_2);

  label(pY, P(-4, 0), "$P$", l);

  label(pX, P(0, -4), "$V$", b);
  label(O, P(0, -4), "$O$", b);

  label(pQ, P(2, 2), "$Q$", tr);
  label(pM, P(0, -4), "$M$", b);
  label(pN, P(0, -4), "$N$", l);

  label(0.5*pM, P(0, -4), "$v$", b);
  label(0.5*(pM + pQ), P(-2, 0), "$p$", l);

  tikz_format();
  end();
}