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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. How many sides did the pentadecagon have, as presented by Euclid?
(a) Twenty.
(b) Fifteen.
(c) Ten.
(d) Five.

2. Who acted as the gate keepers of knowledge?
(a) Greek tradesman.
(b) Roman emporers.
(c) Arabian scholars.
(d) Greek philosophers.

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

4. Where was the modern number system developed?
(a) In the East.
(b) In ancient Rome.
(c) In the West.
(d) In ancient Alexanderia.

5. Which of the following was one of Euclid's great theorems?
(a) There exists an finite number of prime numbers.
(b) There exists an infinite number of prime numbers.
(c) Prime numbers are more comples than discrete numbers.
(d) There exists only infinite and whole numbers.

Short Answer Questions

1. What does the Pythagorean Theorem state?

2. How did Archimedes arrive at a number value for pi?

3. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?

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

5. What did Archimedes manage to prove using Euclid's ideas?

(see the answer key)

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