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

2. Who was the author of the book Elements?
(a) Lindemann.
(b) Euclid.
(c) Hippocrates.
(d) Einstein.

3. According to Euclid, when is a triangle a right triangle?
(a) When a triangle has three sides whose squares are equal to the area of the triangle.
(b) When a triangle does not have a side which can be considered a hypotenuse.
(c) When a triangle can be constructed with three unequal sides.
(d) When a triangle has a side whose square is the sum of the squares of the two legs.

4. How did Lindeman prove his conclusion?
(a) Lindeman proved that all numbers are constructable with a compass and ruler.
(b) Lindeman proved that some numbers are constructable without the use of a compass.
(c) Lindeman proved that some numbers are not constructable with only a compass and straight-edge.
(d) Lindeman proved that square roots are irrational numbers.

5. How do we know about Hippocrates proofs and theorems?
(a) Mathematicians rewrote all of his proofs after his death,
(b) His books and publications.
(c) What we know is from references of later mathematicians.
(d) What is known from archived documents of his time.

Short Answer Questions

1. What is true about prime numbers?

2. That properties of specific shapes were early Egyptians aware of?

3. Where did Hippocrates come from?

4. What does the Pythagorean Theorem state?

5. Which was true of Euclid's number theory?

(see the answer key)

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