*BookRags*. (c)2015 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. Who wrote a treatise that supposed that cubic equations may be impossible to solve?**
**(a)** Niccolo Fontana. **(b)** Luca Pacioli. **(c)** Scipione del Ferro. **(d)** Gerolamo Cardano.

**2. Which of the following is a series that the Bernoullis proposed did not converge on a finite sum?**
**(a)** 1 + 2 + 3 + 4 + 5. . . **(b)** 1 + 1/2 + 1/6 + 1/10 + 1/15 . . . **(c)** 1 + 1/2 + 3/4 + 4/5 . . . **(d)** 1 + 1/2 + 1/3 + 1/4 + 1/5 . . . 1/1000 . . .

**3. Who, in modern day, is given credit for the calculus method?**
**(a)** Newton, **(b)** Johann Bernoulli. **(c)** Leibniz. **(d)** Both Newton and Leibniz.

**4. What did Apollonius work with in mathematics?**
**(a)** He worked on conics. **(b)** He worked on advanced algebra. **(c)** He discovered the algrebraic equation. **(d)** He develped a way to measure the volume of a sphere.

**5. What do we know in modern times about Heron?**
**(a)** We know he was an influencial scholar, but we don't know who his students were. **(b)** We know very little, but much of his work survives. **(c)** We know he lived in Rome. **(d)** We know he was a teacher and philosopher but much of his work has been lost.

## Short Answer Questions

**1.** Which is one of the common notions presented in Elements?

**2.** As described by Dunham, what did Archimedes demonstrate first in his proof on pi?

**3.** What is the name for determining the area of an enclosed space by constructing a square of equivalent area?

**4.** Which of the following can not be solved using algebra?

**5.** Which shapes as described by Euclid, inspired the Greek philosopher Plato?

This section contains 396 words(approx. 2 pages at 300 words per page) |