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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 shape was NOT demonstrated in the Elements as having a relationship to other shapes?**
**(a)** Hyperbola. **(b)** Pentagon. **(c)** Triangle. **(d)** Hexagon.

**2. What did Gauss set out to prove?**
**(a)** That the sum of the angles in a triangle is 180 degrees. **(b)** That Euclid's postulate on straight lines was incorrect. **(c)** That a circle can have less than 360 degrees. **(d)** That a right angle is always equal to 90 degrees.

**3. Which words best describe how solid proofs were developed in Elements?**
**(a)** Simple arguments. **(b)** Inverted scaffold. **(c)** Programmed order. **(d)** Axiomatic framework.

**4. 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 is no longer a mystery as we have an exact number value in modern mathematics. **(d)** The measurement of pi should not have been so difficult for Archimedes to demonstrate.

**5. What provided most of the content in the book Elements?**
**(a)** Notions. **(b)** Propositions. **(c)** Postulates. **(d)** Hypotheses.

## Short Answer Questions

**1.** What did Dunham consider extraordinary about the Elements?

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

**3.** Which shapes as described by Euclid, inspired the Greek philosopher Plato?

**4.** What did Dunham consider as Archimedes's "masterpiece"?

**5.** What is true about prime numbers?

This section contains 364 words(approx. 2 pages at 300 words per page) |