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This quiz consists of 5 multiple choice and 5 short answer questions through A Gem from Isaac Newton.

## Multiple Choice Questions

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

**2. How did Archimedes demonstrate his theory of pi?**
**(a)** He demonstrated that the area of the circle is always greater than the area of the triangle. **(b)** He demonstrated that the area of the circle is never less than the area of the triangle. **(c)** He demonstrated that the area of the circle is neither greater than nor less than the area of the triangle and therefore must be equal to it. **(d)** He demonstrated that the area of the circle is never equal to the area of the triangle.

**3. Who else, besides Newton, independently discovered a calculus method?**
**(a)** Isaac Barrow. **(b)** Gottfried Leibniz. **(c)** Pierre de Fermat. **(d)** John Napier.

**4. In Elements, how many postulates must be accepted as given?**
**(a)** Twenty-two. **(b)** Twelve, **(c)** Eighteen. **(d)** Five.

**5. What was Euclid's definition of a prime number?**
**(a)** Numbers which are divisible by 2. **(b)** Numbers which do not, and can not, contain a perfect number. **(c)** Numbers which contain an infinite number of composite numbers. **(d)** Numbers which can only be divided by themselves and 1.

## Short Answer Questions

**1.** "Straight lines in the same plane that will never meet if extended forever" is a definition of what?

**2.** What was the title of Cardano's book which contained the solution to the cubic?

**3.** Which of the following was an important proposition given by Euclid's number theory?

**4.** What is a "depressed cubic"?

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

This section contains 333 words(approx. 2 pages at 300 words per page) |