Journey Through Genius: The Great Theorems of Mathematics Quiz | Eight Week Quiz D

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

2. Who was the author of the book Elements?
(a) Lindemann.
(b) Einstein.
(c) Hippocrates.
(d) Euclid.

3. Who wrote a treatise that supposed that cubic equations may be impossible to solve?
(a) Gerolamo Cardano.
(b) Niccolo Fontana.
(c) Scipione del Ferro.
(d) Luca Pacioli.

4. 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 diameter 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 diameter.
(c) 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.
(d) 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.

5. Who was the first of ancient philosophers to consider why geometric properties existed?
(a) Aristotle.
(b) Pythagoras.
(c) Thales.
(d) Hippocrates.

Short Answer Questions

1. Which of the following were an example of twin primes?

2. Which of the following is an example of a perfect number?

3. Who acted as the gate keepers of knowledge?

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

5. What is true about prime numbers?

(see the answer key)

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