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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. Which city was the center of thinking and learning in Third century BC?
(a) Rome.
(b) Olympia.
(c) Athens.
(d) Alexandria.

2. What do we know in modern times about Heron?
(a) We know he was an influencial scholar, but we don't know who his students were.
(b) We know he lived in Rome.
(c) We know very little, but much of his work survives.
(d) We know he was a teacher and philosopher but much of his work has been lost.

3. What was true about Hippocrates's proof?
(a) It was fairly easy and simple.
(b) The proof was easy if their was advanced technology available.
(c) It was useful for circles.
(d) The proof was exceedingly difficult and not understood at the time.

4. Which words best describe how solid proofs were developed in Elements?
(a) Programmed order.
(b) Axiomatic framework.
(c) Inverted scaffold.
(d) Simple arguments.

5. According to Dunham, who was most able to collect knowledge from around the globe?
(a) Roman emporers.
(b) Greek tradesman.
(c) Greek philosophers.
(d) Arabian scholars.

Short Answer Questions

1. In Elements, how many postulates must be accepted as given?

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

3. Which of the following was an important proposition given by Euclid's number theory?

4. What did Dunham discuss for many pages in this chapter?

5. Besides being a mathematician, what else other work was Archimedes famous for?

(see the answer key)

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