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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 the same about Apollonius and Erosthanes?
(a) They were both born in the same year.
(b) They both calculated the circumference of the earth.
(c) They were both mathematicians.
(d) They both studied the Universe.

2. Which of the following were an example of twin primes?
(a) 19 and 22.
(b) 11 and 13.
(c) 15 and 16.
(d) 2 and 6.

3. What was the title of Cardano's book which contained the solution to the cubic?
(a) La Magnifica.
(b) Elements.
(c) Ars Magna.
(d) Tarsisia.

4. What did most of Heron's work deal with?
(a) Practical mathematics applications.
(b) Practical solutions to public problems.
(c) Philosophical questions on the origins of the universe.
(d) Theoretical mathematics.

5. Which of the following is INCORRECT, and not used in Archimedes proof of his theory?
(a) Since the circumference can also be expressed as twice the radius multiplied by π, the area is 2πr²/2, or πr².
(b) Since the diameter of a circle is equal to the hypotenuse of the right triangle, the area of the triangle in his proof is 1/2 the radius times the circumference.
(c) Since the base of the triangle is equal to the circumference and the height is the radius, the area of the triangle in his proof is 1/2 the radius times the circumference.
(d) The area of a triangle is one half the base times the height.

Short Answer Questions

1. What was the bases of Hippocrates's proof ?

2. After Hippocrates, what shape did the Greeks attempt to square without success?

3. What did Gauss set out to prove?

4. Which of the following is false about the modern implications of Euclid's number theory?

5. Which of the following can not be solved using algebra?

(see the answer key)

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