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

2. How did Archimedes demonstrate his theory of pi?
(a) He demonstrated that the area of the circle is always greater than the area of the triangle.
(b) He demonstrated that the area of the circle is never equal to the area of the triangle.
(c) He demonstrated that the area of the circle is never less than the area of the triangle.
(d) He demonstrated that the area of the circle is neither greater than nor less than the area of the triangle and therefore must be equal to it.

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

4. How did Archimedes arrive at a number value for pi?
(a) By constructing multi-sided polygons inside and outside a circle and determining their perimeters.
(b) By proving pi could not be equal to one.
(c) By proving that pi could not be a negative number.
(d) By constructing successively smaller circles inside circles until he realized all of their ratios of diameter to area were equal.

5. What did Dunham discuss for many pages in this chapter?
(a) Heron's religious beliefs-
(b) Heron's political tendancy.
(c) Heron's origins of the universe.
(d) Heron's complicated proof.

Short Answer Questions

1. Who was Heron?

2. As described by Dunham, what did Archimedes demonstrate first in his proof on pi?

3. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?

4. What provided most of the content in the book Elements?

5. What did Hippocrates do that advanced mathematical methods?

(see the answer key)

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