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This quiz consists of 5 multiple choice and 5 short answer questions through The Bernoullis and the Harmonic Series.

Multiple Choice Questions

1. Which of the following is true about pi, as described by Dunham.
(a) The measurement of pi should not have been so difficult for Archimedes to demonstrate.
(b) The measurement of pi was redetermined after Archimedes's death.
(c) The measurement of pi is a challenge that continues into modern mathematics.
(d) The measurement of pi is no longer a mystery as we have an exact number value in modern mathematics.

2. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?
(a) Euclid used his own axioms and propositions to show relationships,
(b) Euclid constructed squares on the sides of right triangles.
(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.

3. Who eventually solved the sum of the successive squared denominator series?
(a) John Napier.
(b) Johann Bernoulli.
(c) Jakob Bernoulli.
(d) Leonhard Euler.

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

5. Which of the following best describes Cardano's character?
(a) Eccentric.
(b) Religious.
(c) Flirtacious.
(d) Arrogant.

Short Answer Questions

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

2. According to Dunham, who was most able to collect knowledge from around the globe?

3. What great theorem is presented by Dunham in this chapter?

4. Who was the author of the book Elements?

5. In his later life, what position did Isaac Newton hold?

(see the answer key)

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