a. Prove the Archimedes result that the area of a section of a parabola equals times...

a. Prove the Archimedes result that the area of a section of a parabola equals times the area of the inscribed triangle of the same height. (You may use calculus here.)

b. In what sense can one consider Archimedes to be the inventor of calculus?

c. Find at least five axioms equivalent to the parallel lines axiom. Give the dates when they were proposed and the person that proposed them.

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Expert Solution

Colby Messinger answered 1 year ago

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