title: Plotting a curve on probability simplex
body: <p>I would like plot the parametric curve (p_1,p_2,p_3) of probability vectors given by</p>
  
  <blockquote>
    <p>p_1 = 1/3 + (10/3)t,  p_2 = 1/3 - (2/3)t, and  p_3 = 1/3 - (8/3)t</p>
  </blockquote>
  
  <p>such that p_1, p_2, p_3 >= 0 (note that the equations already satisfy p_1 + p_2 + p_3 = 1) on the probability simplex {(p_1,p_2,p_3) : p_1, p_2, p_3 >= 0 and p_1 + p_2 + p_3 = 1}.</p>
  
  <p>I would like to see this as a 2D plot, i.e., a curve in the simplex plane. Is there a way to do this in matlab? Can someone help?</p>
  
  <p>I used the 3D plot </p>
  
  <blockquote>
    <p>ezplot3('1/3+10/3*t','1/3-2/3*t','1/3-8/3*t',[-5,1/8])</p>
  </blockquote>
  
  <p>But this doesn't give me a good idea about the curve.</p>