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

2. When was the work of these early thinkers rediscovered again in history?
(a) In the 20th century.
(b) In the Renaissance.
(c) In the 18th century.
(d) In the Elizabethian age.

3. What was the bases of Hippocrates's proof ?
(a) Properties of area to volume measurements.
(b) Properties of triangles and semicircles.
(c) Properties of squares and cubes.
(d) Properties of points and lines.

4. What allowed Cardano to justify publishing his book?
(a) He was dead, and the book was really published by his student.
(b) He was punished as a heretic,
(c) He found del Ferro's orgininal solution to the cubic.
(d) He found Fior's documents which spoke against Tartaglia.

5. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?
(a) Hexagon.
(b) Triangle.
(c) Pentagon.
(d) Hyperbola.

Short Answer Questions

1. What did Hippocrates do that advanced mathematical methods?

2. Who challenged Tartaglia to a contest to solve cubic equations?

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

4. What did Dunham consider extraordinary about the Elements?

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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