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Name: _________________________ | Period: ___________________ |

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

## Multiple Choice Questions

**1. Which of the following was NOT true about Archimedes, according to Dunham?**
**(a)** Archimedes died because he refused to follow orders until he completed a math problem. **(b)** He died during the fall of Syracuse. **(c)** He died as a soldier. **(d)** His death was described as being by the hands of a Roman invader.

**2. Where did Hippocrates come from?**
**(a)** Constinople. **(b)** Athens. **(c)** Rome. **(d)** Chios.

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

**4. As described by Archimedes, what is always true about he diameter of the circle?**
**(a)** It's equal to pi. **(b)** It's always proportional to its circumference. **(c)** It's equal to the square of the radius. **(d)** It's never proportional to its circumference.

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

**6. What was true about Hippocrates's proof?**
**(a)** The proof was exceedingly difficult and not understood at the time. **(b)** It was fairly easy and simple. **(c)** It was useful for circles. **(d)** The proof was easy if their was advanced technology available.

**7. Where was the modern number system developed?**
**(a)** In ancient Alexanderia. **(b)** In the West. **(c)** In the East. **(d)** In ancient Rome.

**8. 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.

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

**10. Who's method did Tartaglia's challenger use in the contest to solve cubic equations?**
**(a)** Fontana's method. **(b)** Cardano's method. **(c)** Pacioli's method. **(d)** del Ferro's method.

**11. Who was Heron?**
**(a)** A philosopher from Greece. **(b)** A matematician from Alexanderia. **(c)** A physician from the far East. **(d)** A politician from Rome.

**12. Exactly what limit is reached at a quartic equation?**
**(a)** The limit of the decompressed cubic method. **(b)** The limit of the Pythagorean Theorem. **(c)** The limit of algebra. **(d)** The limit of logical geometric proofs.

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

**14. Which of the following best describes Archimedes as discussed by Dunham?**
**(a)** Creative but stubborn. **(b)** Mild-mannered researcher. **(c)** Loud and arrogant. **(d)** Absent-minded genius.

**15. Which of the following is an example of a postulate that must be accepted in Elements?**
**(a)** It is possible to draw an arc with any three points. **(b)** It is possible to draw a circle that contains no lines. **(c)** It is possible to connect any two points with a line and make a circle. **(d)** It is possible to draw a straight line between an infinite number of points.

## Short Answer Questions

**1.** "Straight lines in the same plane that will never meet if extended forever" is a definition of what?

**2.** Who was Neil's Abel?

**3.** Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?

**4.** Which of the following was NOT one of Gauss' discoveries?

**5.** What name did Euclid give for numbers that could be divided by numbers other than themselves and one?

This section contains 714 words(approx. 3 pages at 300 words per page) |