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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 do we know in modern times about Heron?
(a) We know very little, but much of his work survives.
(b) We know he lived in Rome.
(c) We know he was a teacher and philosopher but much of his work has been lost.
(d) We know he was an influencial scholar, but we don't know who his students were.

2. What does the Pythagorean Theorem state?
(a) For any triangle the sqaured sum of the legs is equal to half the hypotenuse.
(b) For any triangle the sum of the legs squared is equal to the length of the hypotenuse.
(c) For any right triangle the diagonal side is equal to the sum of the legs.
(d) For any right triangle the square of the diagonal side is equal to the sum of the squares of the two legs.

3. According to Dunham, who was most able to collect knowledge from around the globe?
(a) Roman emporers.
(b) Greek tradesman.
(c) Greek philosophers.
(d) Arabian scholars.

4. What provided most of the content in the book Elements?
(a) Hypotheses.
(b) Propositions.
(c) Postulates.
(d) Notions.

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

Short Answer Questions

1. What was the title of Cardano's book which contained the solution to the cubic?

2. How many definitions were stated in Elements?

3. How did Archimedes demonstrate his theory of pi?

4. Exactly what limit is reached at a quartic equation?

5. Numbers whose divisor add up to itself, was considered which type of number according to Euclid?

(see the answer key)

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