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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. Numbers whose divisor add up to itself, was considered which type of number according to Euclid?
(a) Perfect number.
(b) Even number.
(c) Composite number.
(d) Nominal number.

2. Who's method did Tartaglia's challenger use in the contest to solve cubic equations?
(a) del Ferro's method.
(b) Pacioli's method.
(c) Cardano's method.
(d) Fontana's method.

3. 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 determine the volume of a sphere without measuring the circumference.
(c) It was to determine the area of a circle by measuring a right triangle inside the circle.
(d) It was to find the area of a triangle when only the length of the sides are known.

4. What was most useful about finding the square of a shape, before Hippocrates?
(a) It was useful in finding the area of circles.
(b) It was useful in creating simple elevation maps,
(c) It was useful in finding the area of oddly shaped pieces of land.
(d) It was useful in determining the distance between two points.

5. Dunham showed that Heron's proof could also be used as which of the following?
(a) A proof of Hippocrates' squared areas.
(b) A proof of the Pythagorean Theorem.
(c) A proof of Archimedes' number theory.
(d) A proof of Euclid's number theory

Short Answer Questions

1. How many sides did the pentadecagon have, as presented by Euclid?

2. Heron devised which of the following methods?

3. What was the same about Apollonius and Erosthanes?

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

5. How do we know about Hippocrates proofs and theorems?

(see the answer key)

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