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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 did most of Heron's work deal with?
(a) Theoretical mathematics.
(b) Philosophical questions on the origins of the universe.
(c) Practical solutions to public problems.
(d) Practical mathematics applications.

2. What was Euclid's definition of a prime number?
(a) Numbers which are divisible by 2.
(b) Numbers which can only be divided by themselves and 1.
(c) Numbers which contain an infinite number of composite numbers.
(d) Numbers which do not, and can not, contain a perfect number.

3. Where did Hippocrates come from?
(a) Constinople.
(b) Athens.
(c) Chios.
(d) Rome.

4. Dunham showed that Heron's proof could also be used as which of the following?
(a) A proof of the Pythagorean Theorem.
(b) A proof of Archimedes' number theory.
(c) A proof of Hippocrates' squared areas.
(d) A proof of Euclid's number theory

5. Where was Archimedes born?
(a) Sicily.
(b) Olympia.
(c) Athens.
(d) Rome.

Short Answer Questions

1. Which city was the center of thinking and learning in Third century BC?

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

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

4. What was most useful about finding the square of a shape, before Hippocrates?

5. What was true about Hippocrates's proof?

(see the answer key)

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