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This quiz consists of 5 multiple choice and 5 short answer questions through Cardano and the Solution of the Cubic.

Multiple Choice Questions

1. Heron's work referred to the work of what other famous scholar?
(a) Thales.
(b) Hippocrates.
(c) Archimedes.
(d) Euclid.

2. As described by Dunham, what did Archimedes demonstrate first in his proof on pi?
(a) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's hypotenuse and the other leg equal to the circle's circumference.
(b) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's circumference.
(c) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's diameter.
(d) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's diameter and the other leg equal to the circle's circumference.

3. Which of the following is true about pi, as described by Dunham.
(a) The measurement of pi is a challenge that continues into modern mathematics.
(b) The measurement of pi was redetermined after Archimedes's death.
(c) The measurement of pi is no longer a mystery as we have an exact number value in modern mathematics.
(d) The measurement of pi should not have been so difficult for Archimedes to demonstrate.

4. What did Euclid do in his 48th proposition?
(a) Euclid demonstrated the faults of the Pythagorean Theorem.
(b) Euclid demonstrated how to use the Pythagorean Theorem.
(c) Euclid proved the Pythagorean Theorem.
(d) Euclid proved the converse of the Pythagorean Theorem.

5. Which was true of Euclid's number theory?
(a) It was incorrect, as proved by Plato.
(b) It has been proven too basic to be useful.
(c) It was proven to the true by Hippocrates.
(d) It has an impact on modern math.

Short Answer Questions

1. What did Hippocrates do that advanced mathematical methods?

2. Why did Cardano take an oath to secrecy?

3. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?

4. How did Lindeman prove his conclusion?

5. In what century did Archimedes live?

(see the answer key)

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