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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. Who was Heron?
(a) A philosopher from Greece.
(b) A politician from Rome.
(c) A matematician from Alexanderia.
(d) A physician from the far East.

2. Heron devised which of the following methods?
(a) A way to determine the volume in a sphere.
(b) A way to solve binomial equations.
(c) A way to apply mathematics to public health.
(d) A way to determine the area of a triangle.

3. Which of the following were an example of twin primes?
(a) 11 and 13.
(b) 15 and 16.
(c) 19 and 22.
(d) 2 and 6.

4. What did Ferdinand Lindeman prove in 1882?
(a) It is impossible to find the square of a semicircle.
(b) That the square root of the hypotenuse of a right triangle can not be found.
(c) It is possible to find the square of a circle.
(d) That the square of a circle can not be found with a compass and a straight-edge.

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

Short Answer Questions

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

2. Which of the following is true about pi, as described by Dunham.

3. Which of the following is INCORRECT, and not used in Archimedes proof of his theory?

4. What was true about Heron's theorem as described by Dunham?

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

(see the answer key)

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