PROJECT of MATH 308


Topic: Euclid's Element, Book XII, Proposition 16 and 17

  • PROPOSITION 16: Given two circles about the same center, to inscribe in the greater circle an equilateral polygon
    with an even number of sides which does not touch the lesser circle.
  • PROPOSITION 17: Given two spheres about the same center, to inscribe in the greater sphere a polyhedral solid which does not touch
    the lesser sphere at its surface.


Proof:
Proposition 16

Proposition 17


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