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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 known about pi, during Archimedes' time?**
**(a)** That it was never the same number value for a given circle. **(b)** That is was the relationship between the diameter and circumference of a circle. **(c)** That it could not be assigned a relationship between measurements in a circle. **(d)** Nothing, the concept of pi was unknown.

**2. Which of the following was NOT one of the basic definitions in Elements?**
**(a)** Straight Line. **(b)** Parabola. **(c)** Right angles. **(d)** Line.

**3. What did Dunham consider extraordinary about the Elements?**
**(a)** How Hippocrates ordered the book. **(b)** How geometric proofs were presented. **(c)** The content was totally unique. **(d)** The content was not based on previous authors' work.

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

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

## Short Answer Questions

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

**2.** What was the bases of Hippocrates's proof ?

**3.** How did Lindeman prove his conclusion?

**4.** According to Euclid, when is a triangle a right triangle?

**5.** Which is a geometric concept that humans have been aware of since the dawn of agriculture?

This section contains 383 words(approx. 2 pages at 300 words per page) |