*BookRags*. (c)2016 BookRags, Inc. All rights reserved.

Name: _________________________ | Period: ___________________ |

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

## Multiple Choice Questions

**1. Which of the following is INCORRECT, and not used in Archimedes proof of his theory?**
**(a)** Since the diameter of a circle is equal to the hypotenuse of the right triangle, the area of the triangle in his proof is 1/2 the radius times the circumference. **(b)** The area of a triangle is one half the base times the height. **(c)** Since the circumference can also be expressed as twice the radius multiplied by π, the area is 2πr²/2, or πr². **(d)** Since the base of the triangle is equal to the circumference and the height is the radius, the area of the triangle in his proof is 1/2 the radius times the circumference.

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

**3. What did Plato use his inspiration from Euclid for?**
**(a)** To construct his theory on the shape of the Universe. **(b)** To classify geometric shapes by their complexity. **(c)** To create a new theorem of algebra. **(d)** To prove Euclid's number theory was incorrect.

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

**5. Where was Neil's Abel from?**
**(a)** Finland. **(b)** Great Britian, **(c)** Ireland. **(d)** Norway.

## Short Answer Questions

**1.** Which of the following was an important proposition given by Euclid's number theory?

**2.** What did Gauss set out to prove?

**3.** Which of the following is a series that the Bernoullis proposed did not converge on a finite sum?

**4.** After working on pi, what did Archimedes continue with in his study of mathematics?

**5.** Which of the following best describes Cardano's character?

This section contains 388 words(approx. 2 pages at 300 words per page) |