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 was known about pi, during Archimedes' time?
(a) That it could not be assigned a relationship between measurements in a circle.
(b) That it was never the same number value for a given circle.
(c) Nothing, the concept of pi was unknown.
(d) That is was the relationship between the diameter and circumference of a circle.

2. Which of Euclid's postulates troubled many of the following generations of mathematicians?
(a) Euclid's postulate on right triangles.
(b) Euclid's proof on right triangles.
(c) Euclid's postulate on parallel lines.
(d) Euclid's postulate on creating an arc.

3. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?
(a) Euclid constructed squares on the sides of right triangles.
(b) Euclid used his own axioms and propositions to show relationships,
(c) Euclid used propositions about similar angles and parallel lines.
(d) Euclid stated that the diagonal hypotenuse of a right triangle is equal to the sums of the squares of the two legs.

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

5. What is true about prime numbers?
(a) Prime numbers can never be an odd number.
(b) Prime numbers can not exist in a finite series.
(c) Prime numbers are not divisible by other numbers.
(d) That for every group of prime numbers, there exists at least one more prime.

Short Answer Questions

1. What did Dunham discuss for many pages in this chapter?

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

3. Which of the following best describes Archimedes as discussed by Dunham?

4. As described by Dunham, what did Archimedes demonstrate first in his proof on pi?

5. Who was Heron?

(see the answer key)

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