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This quiz consists of 5 multiple choice and 5 short answer questions through Cardano and the Solution of the Cubic.

## Multiple Choice Questions

**1. As described by Dunham, what did Archimedes demonstrate first in his proof on pi?**
**(a)** Area of a circle is equal to that of a right triangle that has one leg equal to the circle's hypotenuse and the other leg equal to the circle's circumference. **(b)** Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's circumference. **(c)** Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's diameter. **(d)** Area of a circle is equal to that of a right triangle that has one leg equal to the circle's diameter and the other leg equal to the circle's circumference.

**2. Heron's work referred to the work of what other famous scholar?**
**(a)** Euclid. **(b)** Archimedes. **(c)** Thales. **(d)** Hippocrates.

**3. Which of the following is false about the modern implications of Euclid's number theory?**
**(a)** Euclid's recipe for constructing even perfect numbers is incorrect. **(b)** Whether there are no odd perfect numbers is still not known. **(c)** Euclid gave a good idea for how to construct even perfect numbers. **(d)** Great mathematicians continue to puzzle over some aspects of Euclid's number theory.

**4. In general, what did Euclid's number theory describe?**
**(a)** The relationship of fractions to decimals. **(b)** The relationship of decimals to integers. **(c)** The nature of measuring geometry. **(d)** The nature of whole numbers.

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

## Short Answer Questions

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

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

**3.** What was the same about Apollonius and Erosthanes?

**4.** What did Heron's advances put into historical perspective for Dunham?

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

This section contains 411 words(approx. 2 pages at 300 words per page) |