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

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

3. What did Heron's advances put into historical perspective for Dunham?
(a) A shift in learning across continents.
(b) A change in learning foundations in the ancient scholarly universities.
(c) A change in political theory across the globe.
(d) A shift in information flow that ignored socioeconomic order.

4. Exactly what limit is reached at a quartic equation?
(a) The limit of logical geometric proofs.
(b) The limit of algebra.
(c) The limit of the decompressed cubic method.
(d) The limit of the Pythagorean Theorem.

5. Who was Heron?
(a) A physician from the far East.
(b) A matematician from Alexanderia.
(c) A philosopher from Greece.
(d) A politician from Rome.

Short Answer Questions

1. What did Hippocrates do that advanced mathematical methods?

2. Which of the following is INCORRECT, and not used in Archimedes proof of his theory?

3. Which is one of the common notions presented in Elements?

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

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

(see the answer key)

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