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This quiz consists of 5 multiple choice and 5 short answer questions through The Bernoullis and the Harmonic Series.

Multiple Choice Questions

1. That properties of specific shapes were early Egyptians aware of?
(a) Irregular solids.
(b) Right triangles.
(c) Parallelograms.
(d) Pi and the diameter of a circle.

2. Which of the following was an important proposition given by Euclid's number theory?
(a) Numbers from one to ten are only divisible by composite numbers.
(b) Any perfect number is divisible by some composite number.
(c) Any composite number is divisible by some prime number.
(d) Any even number is divisible by 3.

3. After Hippocrates, what shape did the Greeks attempt to square without success?
(a) Hemisphere.
(b) Pentagon.
(c) Circle.
(d) Parallelogram.

4. What did Newton's calculus involve?
(a) Determining the area under a curve.
(b) Proving the existance of pi.
(c) Proving the cubic equation.
(d) Determining the volume of a sphere.

5. What was true about Heron's theorem as described by Dunham?
(a) It was to solve equations were only two varibles are known.
(b) It was to find the area of a triangle when only the length of the sides are known.
(c) It was to determine the volume of a sphere without measuring the circumference.
(d) It was to determine the area of a circle by measuring a right triangle inside the circle.

Short Answer Questions

1. As described by Archimedes, what is always true about he diameter of the circle?

2. What was true about Hippocrates's proof?

3. What did Euclid state about pi in Elements?

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

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

(see the answer key)

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