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This quiz consists of 5 multiple choice and 5 short answer questions through Heron's Formula for Triangular Area.

Multiple Choice Questions

1. What range of values did Archimedes determine for pi?
(a) Between 3 1/2 and 3 5/8.
(b) Between 3 and 3 1/2.
(c) Between 3 10/11 and 3 1/7.
(d) Between 3 and 4.

2. Which was true of Euclid's number theory?
(a) It was proven to the true by Hippocrates.
(b) It has been proven too basic to be useful.
(c) It was incorrect, as proved by Plato.
(d) It has an impact on modern math.

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

4. Which of the following is true in modern math about twin primes?
(a) Their sum is always another prime number.
(b) We don't know if they are finite or infinite.
(c) They are not considered whole numbers.
(d) They are infinite.

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

Short Answer Questions

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

2. What did Plato use his inspiration from Euclid for?

3. What were the proofs in Elements based on?

4. What did Euclid state about pi in Elements?

5. What did Dunham claim about Archimedes's determination of a number value for pi?

(see the answer key)

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