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

**2. How many definitions were stated in Elements?**
**(a)** Eighteen. **(b)** Five. **(c)** Twenty-three. **(d)** Thirty.

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

**4. What else, besides a solution to cubic equations, was in Cardano's book?**
**(a)** A proof of the Pythagorean Theorem. **(b)** An alegrabic solution to quintic equations, **(c)** A solution to quartic equations. **(d)** A suggested method to depress all complex geometry.

**5. Which of the following was an important proposition given by Euclid's number theory?**
**(a)** Any composite number is divisible by some prime number. **(b)** Any even number is divisible by 3. **(c)** Numbers from one to ten are only divisible by composite numbers. **(d)** Any perfect number is divisible by some composite number.

## Short Answer Questions

**1.** In what time period did mathematicians find a solution to cubic equations?

**2.** Who else, besides Newton, independently discovered a calculus method?

**3.** Who was del Ferro's student?

**4.** Which of the following is an example of a perfect number?

**5.** Which of Euclid's postulates troubled many of the following generations of mathematicians?

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