*BookRags*. (c)2015 BookRags, Inc. All rights reserved.

Name: _________________________ | Period: ___________________ |

This test consists of 15 multiple choice questions and 5 short answer questions.

## Multiple Choice Questions

**1. Which city was the center of thinking and learning in Third century BC?**
**(a)** Rome. **(b)** Athens. **(c)** Olympia. **(d)** Alexandria.

**2. How many definitions were stated in Elements?**
**(a)** Twenty-three. **(b)** Five. **(c)** Thirty. **(d)** Eighteen.

**3. Who asked Tartaglia for his solution to cubic equations?**
**(a)** Cardano. **(b)** Fior, **(c)** Pacioli. **(d)** Fontana.

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

**5. Which of the following was NOT one of the basic definitions in Elements?**
**(a)** Line. **(b)** Parabola. **(c)** Right angles. **(d)** Straight Line.

**6. In Elements, how many postulates must be accepted as given?**
**(a)** Twelve, **(b)** Twenty-two. **(c)** Eighteen. **(d)** Five.

**7. Who was the first of ancient philosophers to consider why geometric properties existed?**
**(a)** Pythagoras. **(b)** Thales. **(c)** Aristotle. **(d)** Hippocrates.

**8. Which of Euclid's postulates troubled many of the following generations of mathematicians?**
**(a)** Euclid's proof on right triangles. **(b)** Euclid's postulate on right triangles. **(c)** Euclid's postulate on parallel lines. **(d)** Euclid's postulate on creating an arc.

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

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

**11. How do we know about Hippocrates proofs and theorems?**
**(a)** What we know is from references of later mathematicians. **(b)** What is known from archived documents of his time. **(c)** His books and publications. **(d)** Mathematicians rewrote all of his proofs after his death,

**12. Who was the author of the book Elements?**
**(a)** Einstein. **(b)** Hippocrates. **(c)** Euclid. **(d)** Lindemann.

**13. What did Euclid do in his 48th proposition?**
**(a)** Euclid proved the Pythagorean Theorem. **(b)** Euclid proved the converse of the Pythagorean Theorem. **(c)** Euclid demonstrated how to use the Pythagorean Theorem. **(d)** Euclid demonstrated the faults of the Pythagorean Theorem.

**14. Which of the following was an important proposition given by Euclid's number theory?**
**(a)** Any even number is divisible by 3. **(b)** Any composite number is divisible by some prime number. **(c)** Numbers from one to ten are only divisible by composite numbers. **(d)** Any perfect number is divisible by some composite number.

**15. What was known about pi, during Archimedes' time?**
**(a)** That it could not be assigned a relationship between measurements in a circle. **(b)** That it was never the same number value for a given circle. **(c)** Nothing, the concept of pi was unknown. **(d)** That is was the relationship between the diameter and circumference of a circle.

## Short Answer Questions

**1.** What were the proofs in Elements based on?

**2.** Which is a geometric concept that humans have been aware of since the dawn of agriculture?

**3.** What was Hippocrates famous for?

**4.** Which of the following best describes Archimedes as discussed by Dunham?

**5.** Heron devised which of the following methods?

This section contains 530 words(approx. 2 pages at 300 words per page) |