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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 Ferdinand Lindeman prove in 1882?**
**(a)** That the square root of the hypotenuse of a right triangle can not be found. **(b)** It is possible to find the square of a circle. **(c)** It is impossible to find the square of a semicircle. **(d)** That the square of a circle can not be found with a compass and a straight-edge.

**2. What did Dunham discuss for many pages in this chapter?**
**(a)** Heron's religious beliefs- **(b)** Heron's complicated proof. **(c)** Heron's political tendancy. **(d)** Heron's origins of the universe.

**3. What was true about Heron's theorem as described by Dunham?**
**(a)** It was to solve equations were only two varibles are known. **(b)** It was to determine the volume of a sphere without measuring the circumference. **(c)** It was to determine the area of a circle by measuring a right triangle inside the circle. **(d)** It was to find the area of a triangle when only the length of the sides are known.

**4. What did Gauss do with his best work?**
**(a)** He gave it to his students. **(b)** He gave it to his son to publish. **(c)** He published it. **(d)** He did not publish it.

**5. Who was Heron?**
**(a)** A matematician from Alexanderia. **(b)** A politician from Rome. **(c)** A philosopher from Greece. **(d)** A physician from the far East.

## Short Answer Questions

**1.** According to Euclid, when is a triangle a right triangle?

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

**3.** What was true about Hippocrates's proof?

**4.** Which mathematician was first to take the challenge to solve cubic equations?

**5.** Who was Euler's teacher?

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