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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. Who was the first of ancient philosophers to consider why geometric properties existed?**
**(a)** Aristotle. **(b)** Pythagoras. **(c)** Hippocrates. **(d)** Thales.

**2. Which is one of the common notions presented in Elements?**
**(a)** "Things which are equal to the same thing are also equal to each other." **(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)** "The inverse of a line makes a circle."

**3. That properties of specific shapes were early Egyptians aware of?**
**(a)** Pi and the diameter of a circle. **(b)** Irregular solids. **(c)** Parallelograms. **(d)** Right triangles.

**4. What is true about prime numbers?**
**(a)** Prime numbers can not exist in a finite series. **(b)** Prime numbers can never be an odd number. **(c)** That for every group of prime numbers, there exists at least one more prime. **(d)** Prime numbers are not divisible by other numbers.

**5. How did Archimedes arrive at a number value for pi?**
**(a)** By proving that pi could not be a negative number. **(b)** By constructing multi-sided polygons inside and outside a circle and determining their perimeters. **(c)** By constructing successively smaller circles inside circles until he realized all of their ratios of diameter to area were equal. **(d)** By proving pi could not be equal to one.

## Short Answer Questions

**1.** Which of the following becomes an important definition in mathematics that was first presented in Elements?

**2.** What did Euclid state about pi in Elements?

**3.** Which of the following was NOT defined by Euclid?

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

**5.** Which of the following could NOT be included as a step in Euclid's great theorem?

This section contains 406 words(approx. 2 pages at 300 words per page) |