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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 was the bases of Hippocrates's proof ?**
**(a)** Properties of area to volume measurements. **(b)** Properties of squares and cubes. **(c)** Properties of points and lines. **(d)** Properties of triangles and semicircles.

**2. Which of the following was one of Euclid's great theorems?**
**(a)** Prime numbers are more comples than discrete numbers. **(b)** There exists only infinite and whole numbers. **(c)** There exists an infinite number of prime numbers. **(d)** There exists an finite number of prime numbers.

**3. After working on pi, what did Archimedes continue with in his study of mathematics?**
**(a)** He studied the volume and surface area of spheres, cones, and cylinders. **(b)** He studied the relationship of sine to cosine. **(c)** He studied the volume to surface area ratios of cubes. **(d)** He studied the relationship between ratios in triangles.

**4. What did Newton's calculus involve?**
**(a)** Proving the cubic equation. **(b)** Determining the area under a curve. **(c)** Proving the existance of pi. **(d)** Determining the volume of a sphere.

**5. In what time period did mathematicians find a solution to cubic equations?**
**(a)** Seventeeth century. **(b)** Twentieth century. **(c)** Thirteenth century. **(d)** Fifteen century.

## Short Answer Questions

**1.** What did British scholars accuse Leibniz of?

**2.** Which city was the center of thinking and learning in Third century BC?

**3.** What did Dunham describe about the following series 1 + 2 + 3 + 4. . .?

**4.** What did Dunham consider as Archimedes's "masterpiece"?

**5.** What is true about the successive squared denominator series proposed by the Bernoullis?

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