1. Explain Archimedes' trisection of the angle. 2. Explain the
determination of the latitude. 3. Find all of the angles in a
pentagram. 4. Show how the proportion of the golden mean arises
in the pentagram. 5. Explain the construction of the proportion
of the golden mean. 6. Explain the construction of the
pentagram. 7. Show how to use a golden rectangle to construct a
pentagram. 8. Explain Thales of Miletus' determination of the
distance of a ship from the shore. 9. Prove that the deflection
angle between the tangent to a circle and a chord to another
point on the circle is half of the central angle determined by
the chord. 10. Answer the feet in the mirror question.