Rational Right Triangles

  1. Statement of the congruent number problem.
  2. Explain what ``enumerate means''.
  3. Explain how to enumerate all right triangles with integer side lengths - Pythagorean triples: draw graph of circle; draw line; find other point of intersection; write it as $ (x,y)$ with $ x,y$ in terms of $ t$ .
  4. SAGE tutorial:
    1. What is SAGE?
    2. SAGE website.
    3. SAGE notebook: everyone create a worksheet.

William Stein 2006-07-07