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This quiz consists of 5 multiple choice and 5 short answer questions through A Sampler of Euler's Number Theory.

## Multiple Choice Questions

**1. What did most of Heron's work deal with?**
**(a)** Practical mathematics applications. **(b)** Philosophical questions on the origins of the universe. **(c)** Practical solutions to public problems. **(d)** Theoretical mathematics.

**2. What did Dunham consider as Archimedes's "masterpiece"?**
**(a)** Archimedes' work on volume to surface area ratios. **(b)** Archimedes' work on determining angular measurements. **(c)** Archimedes' work on determining a number value for pi. **(d)** Archimedes' work on shperes, cones, and cylinders.

**3. What did Euclid do in his 48th proposition?**
**(a)** Euclid demonstrated the faults of the Pythagorean Theorem. **(b)** Euclid proved the converse of the Pythagorean Theorem. **(c)** Euclid proved the Pythagorean Theorem. **(d)** Euclid demonstrated how to use the Pythagorean Theorem.

**4. What was the same about Apollonius and Erosthanes?**
**(a)** They both calculated the circumference of the earth. **(b)** They were both mathematicians. **(c)** They were both born in the same year. **(d)** They both studied the Universe.

**5. What did the Pythagorean Theorem accomplish for mathematics?**
**(a)** The concept of constructing useful mathematics. **(b)** The concept of providing a logical proof. **(c)** The ability to find square roots. **(d)** The ability to measure angles.

## Short Answer Questions

**1.** To how many decimal places did Newton determine the number for pi?

**2.** Exactly what limit is reached at a quartic equation?

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

**4.** Which of the following did Dunham concentrate on as one of Newton's great advances?

**5.** Who was the first of ancient philosophers to consider why geometric properties existed?

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