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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. According to Euclid, when is a triangle a right triangle?**
**(a)** When a triangle has a side whose square is the sum of the squares of the two legs. **(b)** When a triangle can be constructed with three unequal sides. **(c)** When a triangle has three sides whose squares are equal to the area of the triangle. **(d)** When a triangle does not have a side which can be considered a hypotenuse.

**2. In what century did Archimedes live?**
**(a)** Third century B.C. **(b)** First century A.D, **(c)** Twelthf century A.D. **(d)** Nineteeth century A.D.

**3. Which of the following can not be solved using algebra?**
**(a)** Triangulation. **(b)** Quadratic equation. **(c)** Quintic equation. **(d)** Geometric equation.

**4. What was Hippocrates's great advance to mathematics?**
**(a)** He showed how to find the angles in a right triangle. **(b)** He showed how to simplify the area of a triangle. **(c)** He showed how to square a circle. **(d)** He showed how to square a figure with curved sides.

**5. Who eventually solved the sum of the successive squared denominator series?**
**(a)** Johann Bernoulli. **(b)** Leonhard Euler. **(c)** Jakob Bernoulli. **(d)** John Napier.

## Short Answer Questions

**1.** Where was Euler born?

**2.** What did Gauss do with his best work?

**3.** What did Dunham discuss for many pages in this chapter?

**4.** How did Euler prove if the number 4,294,967,297 was prime or composite?

**5.** What did Dunham claim about Archimedes's determination of a number value for pi?

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