|Name: _________________________||Period: ___________________|
This quiz consists of 5 multiple choice and 5 short answer questions through Euclid and the Infinitude of Primes.
Multiple Choice Questions
1. Which of the following was NOT one of the basic definitions in Elements?
(b) Right angles.
(c) Straight Line.
2. Which of the following is an example of a perfect number?
3. Which of the following was NOT one of Gauss' discoveries?
(a) That there is no apparent contraction to the assumption that the sum of angles in a triangle can have fewer than 180 degrees.
(b) That under Euclid's definition parallel lines can intersect.
(c) "Non-euclidean" geometry.
(d) That angles in a triangles can not add up to more than 180 degrees.
4. Which of the following was one of Euclid's great theorems?
(a) Prime numbers are more comples than discrete numbers.
(b) There exists only infinite and whole numbers.
(c) There exists an finite number of prime numbers.
(d) There exists an infinite number of prime numbers.
5. Which of the following was NOT defined by Euclid?
(a) Whole numbers.
(b) Nominal numbers.
(c) Even numbers.
(d) Odd numbers.
Short Answer Questions
1. What was Euclid's definition of a prime number?
2. Which of the following could NOT be included as a step in Euclid's great theorem?
3. Which words best describe how solid proofs were developed in Elements?
4. Which is one of the common notions presented in Elements?
5. What did Dunham consider extraordinary about the Elements?
This section contains 358 words
(approx. 2 pages at 300 words per page)