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This quiz consists of 5 multiple choice and 5 short answer questions through The Bernoullis and the Harmonic Series.

## Multiple Choice Questions

**1. What provided most of the content in the book Elements?**
**(a)** Propositions. **(b)** Postulates. **(c)** Notions. **(d)** Hypotheses.

**2. What were the proofs in Elements based on?**
**(a)** Novel notions. **(b)** Ancient greek geometry. **(c)** Basic definitions. **(d)** Lindeman's method.

**3. What else, besides a solution to cubic equations, was in Cardano's book?**
**(a)** A proof of the Pythagorean Theorem. **(b)** A suggested method to depress all complex geometry. **(c)** A solution to quartic equations. **(d)** An alegrabic solution to quintic equations,

**4. What was Hippocrates famous for?**
**(a)** His theorem on the quadrature of the lune. **(b)** His ability to construct circles without a compass. **(c)** His proof defining gravity. **(d)** His proof on right triangles.

**5. Dunham showed that Heron's proof could also be used as which of the following?**
**(a)** A proof of Euclid's number theory **(b)** A proof of Archimedes' number theory. **(c)** A proof of the Pythagorean Theorem. **(d)** A proof of Hippocrates' squared areas.

## Short Answer Questions

**1.** Numbers whose divisor add up to itself, was considered which type of number according to Euclid?

**2.** What did the Pythagorean Theorem accomplish for mathematics?

**3.** Why did Cardano take an oath to secrecy?

**4.** What range of values did Archimedes determine for pi?

**5.** What was the title of Cardano's book which contained the solution to the cubic?

This section contains 281 words(approx. 1 page at 300 words per page) |