a. Prove the Archimedes result that the area of a section of aparabola equals times the area of the inscribed triangle of thesame height. (You may use calculus here.)
b. In what sense can one consider Archimedes to be the inventorof calculus?
c. Find at least five axioms equivalent to the parallel linesaxiom. Give the dates when they were proposed and the person thatproposed them.
