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

**2. Which of the following is true about pi, as described by Dunham.**
**(a)** The measurement of pi is a challenge that continues into modern mathematics. **(b)** The measurement of pi was redetermined after Archimedes's death. **(c)** The measurement of pi should not have been so difficult for Archimedes to demonstrate. **(d)** The measurement of pi is no longer a mystery as we have an exact number value in modern mathematics.

**3. What is the name for determining the area of an enclosed space by constructing a square of equivalent area?**
**(a)** Cubation. **(b)** Square root. **(c)** Quadrature. **(d)** Triangulation.

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

**5. Which is one of the common notions presented in Elements?**
**(a)** "The inverse of a line makes a circle." **(b)** "Points with equal values can be connected with a line of equal value." **(c)** "Things with are equal have an inverse that is equal." **(d)** "Things which are equal to the same thing are also equal to each other."

## Short Answer Questions

**1.** What did Gauss set out to prove?

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

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

**4.** How many definitions were stated in Elements?

**5.** In what century did Archimedes live?

This section contains 472 words(approx. 2 pages at 300 words per page) |