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Name: _________________________ | Period: ___________________ |

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

## Multiple Choice Questions

**1. What were the proofs in Elements based on?**
**(a)** Basic definitions. **(b)** Ancient greek geometry. **(c)** Lindeman's method. **(d)** Novel notions.

**2. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?**
**(a)** Intersection. **(b)** Parallel lines. **(c)** 180 degree angle. **(d)** Circle.

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

**4. What else, besides a solution to cubic equations, was in Cardano's book?**
**(a)** A proof of the Pythagorean Theorem. **(b)** A solution to quartic equations. **(c)** A suggested method to depress all complex geometry. **(d)** An alegrabic solution to quintic equations,

**5. Which shapes as described by Euclid, inspired the Greek philosopher Plato?**
**(a)** Manifolds. **(b)** Triangles. **(c)** Regular polyhedrons. **(d)** Spheres and cones.

**6. Which was true of Euclid's number theory?**
**(a)** It was incorrect, as proved by Plato. **(b)** It has been proven too basic to be useful. **(c)** It was proven to the true by Hippocrates. **(d)** It has an impact on modern math.

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

**8. When was the work of these early thinkers rediscovered again in history?**
**(a)** In the 20th century. **(b)** In the Renaissance. **(c)** In the 18th century. **(d)** In the Elizabethian age.

**9. That properties of specific shapes were early Egyptians aware of?**
**(a)** Parallelograms. **(b)** Right triangles. **(c)** Irregular solids. **(d)** Pi and the diameter of a circle.

**10. After Hippocrates, what shape did the Greeks attempt to square without success?**
**(a)** Circle. **(b)** Pentagon. **(c)** Parallelogram. **(d)** Hemisphere.

**11. Which of the following was true about Cardano, according to Dunham?**
**(a)** He was not a mathematician. **(b)** He was jailed for heresy. **(c)** He had three wives. **(d)** He was a priest.

**12. Which of the following could NOT be included as a step in Euclid's great theorem?**
**(a)** Divide a infinite group of primes by the sum of their composites. **(b)** If a new number is found to be composite, then it must have some prime as a divisor. **(c)** Take a finite group of primes and add them together, plus one. **(d)** After summation, the new number can be prime or composite.

**13. Which of the following best describes Cardano's character?**
**(a)** Religious. **(b)** Eccentric. **(c)** Flirtacious. **(d)** Arrogant.

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

**15. In general, what did Euclid's number theory describe?**
**(a)** The relationship of decimals to integers. **(b)** The relationship of fractions to decimals. **(c)** The nature of whole numbers. **(d)** The nature of measuring geometry.

## Short Answer Questions

**1.** Which of the following was one of Euclid's great theorems?

**2.** How do we know about Hippocrates proofs and theorems?

**3.** What was true about Heron's theorem as described by Dunham?

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

**5.** Which of the following is INCORRECT, and not used in Archimedes proof of his theory?

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