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This quiz consists of 5 multiple choice and 5 short answer questions through Euclid and the Infinitude of Primes.

Multiple Choice Questions

1. What does the Pythagorean Theorem state?
(a) For any right triangle the diagonal side is equal to the sum of the legs.
(b) For any triangle the sqaured sum of the legs is equal to half the hypotenuse.
(c) For any right triangle the square of the diagonal side is equal to the sum of the squares of the two legs.
(d) For any triangle the sum of the legs squared is equal to the length of the hypotenuse.

2. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?
(a) Perfect numbers.
(b) Discrete numbers.
(c) Composite numbers.
(d) Even numbers.

3. What did Dunham consider extraordinary about the Elements?
(a) The content was not based on previous authors' work.
(b) The content was totally unique.
(c) How Hippocrates ordered the book.
(d) How geometric proofs were presented.

4. Which of the following is an example of a postulate that must be accepted in Elements?
(a) It is possible to connect any two points with a line and make a circle.
(b) It is possible to draw an arc with any three points.
(c) It is possible to draw a straight line between an infinite number of points.
(d) It is possible to draw a circle that contains no lines.

5. After Hippocrates, what shape did the Greeks attempt to square without success?
(a) Hemisphere.
(b) Parallelogram.
(c) Circle.
(d) Pentagon.

Short Answer Questions

1. Which of the following is false about the modern implications of Euclid's number theory?

2. What did the Pythagorean Theorem accomplish for mathematics?

3. How many sides did the pentadecagon have, as presented by Euclid?

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

5. According to Euclid, when is a triangle a right triangle?

(see the answer key)

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