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This quiz consists of 5 multiple choice and 5 short answer questions through Archimedes' Determination of Circular Area.

## Multiple Choice Questions

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

**2. What was most useful about finding the square of a shape, before Hippocrates?**
**(a)** It was useful in finding the area of oddly shaped pieces of land. **(b)** It was useful in determining the distance between two points. **(c)** It was useful in creating simple elevation maps, **(d)** It was useful in finding the area of circles.

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

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

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

## Short Answer Questions

**1.** Which of the following was NOT one of the basic definitions in Elements?

**2.** Which of the following is false about the modern implications of Euclid's number theory?

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

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

**5.** What was Euclid's definition of a prime number?

This section contains 333 words(approx. 2 pages at 300 words per page) |