Euclid JS

This construction to trisect a line segment comes from Proofs Without Words by Scott Coble, via this page. The code looks like this:

      scene
      .point        ('A', width/7*3, height/3)
      .point        ('B', width/7*5, height/3)
      .segment      ('S', 'A', 'B')
      .circle       ('M', 'A', 'B')
      .circle       ('N', 'B', 'A')
      .intersection ('C', 'M', 'N', 0)
      .intersection ('D', 'M', 'N', 1)
      .line         ('T', 'A', 'C')
      .segment      ('U', 'A', 'D')
      .intersection ('E', 'T', 'M', scene.isnt('C'))
      .segment      ('V', 'E', 'B')
      .intersection ('F', 'V', 'U')
      .segment      ('W', 'F', 'C')
      .intersection ('W', 'S')