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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 of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?
(a) Euclid used his own axioms and propositions to show relationships,
(b) Euclid used propositions about similar angles and parallel lines.
(c) Euclid stated that the diagonal hypotenuse of a right triangle is equal to the sums of the squares of the two legs.
(d) Euclid constructed squares on the sides of right triangles.

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

3. Besides being a mathematician, what else other work was Archimedes famous for?
(a) Artist and musician.
(b) Inventor and scientist.
(c) Doctor and writer,
(d) Politician.

4. What did Heron's advances put into historical perspective for Dunham?
(a) A shift in learning across continents.
(b) A change in political theory across the globe.
(c) A shift in information flow that ignored socioeconomic order.
(d) A change in learning foundations in the ancient scholarly universities.

5. Who was the first of ancient philosophers to consider why geometric properties existed?
(a) Aristotle.
(b) Hippocrates.
(c) Pythagoras.
(d) Thales.

Short Answer Questions

1. What did Hippocrates do that advanced mathematical methods?

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

3. How did Lindeman prove his conclusion?

4. Which is a geometric concept that humans have been aware of since the dawn of agriculture?

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

(see the answer key)

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