GRADE SEVEN: the required elements

• Topics: Euclid, Books I, II, selected proofs;
• History: Hellenistic mathematics.
• Suggested Integrative Projects (one required):
  1. The machines of Archimedes, Heron, and Ctesibius.
  2. Hypatia and the conics of Apollonius.
  3. Tables of chords and astronomy in India.
  4. The swath of trigonometry from Ptolemy to Baghdad.
  5. The logic of Aristotle's Isagoge.
  6. Astronomical allignments in Teotihuacan.
  7. The heliacal rising of Venus and the Mayan calendar.
  8. Neoplatonism and Euclid in Byzantium.
  9. Early translations of Euclid in Baghdad, with shades of Babylon.