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Khayyam 1

  1. We have line f through A and B. and line t through B, perpendicular to f and point C on line f, below B.
  2. Draw a circle with diameter AC (find midpoint with the midpoint tool).
  3. Let E and F be the intersection points of this circle with line t.
  4. Draw the line through E perpendicular to t.
  5. Draw the line through C perpendicular to f.
  6. Let G be their intersection.
  7. Use the locus tool: select G, then C, to find the locus of G as C moves.
  8. .Repeat step 9 with C on the other side of line f.
  9. Answer the Wooclap question: what type of curve is the locus?