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This quiz consists of 5 multiple choice and 5 short answer questions through Archimedes' Determination of Circular Area.

Multiple Choice Questions

1. In general, what did Euclid's number theory describe?
(a) The nature of whole numbers.
(b) The relationship of fractions to decimals.
(c) The relationship of decimals to integers.
(d) The nature of measuring geometry.

2. Which of the following is false about the modern implications of Euclid's number theory?
(a) Whether there are no odd perfect numbers is still not known.
(b) Euclid's recipe for constructing even perfect numbers is incorrect.
(c) Great mathematicians continue to puzzle over some aspects of Euclid's number theory.
(d) Euclid gave a good idea for how to construct even perfect numbers.

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

4. What were the proofs in Elements based on?
(a) Ancient greek geometry.
(b) Novel notions.
(c) Lindeman's method.
(d) Basic definitions.

5. Which of the following was NOT defined by Euclid?
(a) Odd numbers.
(b) Whole numbers.
(c) Even numbers.
(d) Nominal numbers.

Short Answer Questions

1. Numbers whose divisor add up to itself, was considered which type of number according to Euclid?

2. Which of the following is INCORRECT, and not used in Archimedes proof of his theory?

3. What was Hippocrates's great advance to mathematics?

4. What is the name for determining the area of an enclosed space by constructing a square of equivalent area?

5. Which shapes as described by Euclid, inspired the Greek philosopher Plato?

(see the answer key)

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