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

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

2. Which city was the center of thinking and learning in Third century BC?
(a) Athens.
(b) Alexandria.
(c) Rome.
(d) Olympia.

3. What does the Pythagorean Theorem state?
(a) For any right triangle the square of the diagonal side is equal to the sum of the squares of the two legs.
(b) For any triangle the sqaured sum of the legs is equal to half the hypotenuse.
(c) For any triangle the sum of the legs squared is equal to the length of the hypotenuse.
(d) For any right triangle the diagonal side is equal to the sum of the legs.

4. Which of the following is INCORRECT, and not used in Archimedes proof of his theory?
(a) The area of a triangle is one half the base times the height.
(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 circumference can also be expressed as twice the radius multiplied by π, the area is 2πr²/2, or πr².
(d) 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.

5. What was true about Hippocrates's proof?
(a) It was useful for circles.
(b) It was fairly easy and simple.
(c) The proof was exceedingly difficult and not understood at the time.
(d) The proof was easy if their was advanced technology available.

Short Answer Questions

1. What did Newton's calculus involve?

2. In the Bernoulli's time, what was the current definition of a series?

3. Who else, besides Newton, independently discovered a calculus method?

4. Who's method did Tartaglia's challenger use in the contest to solve cubic equations?

5. Who was Eratosthanes?

(see the answer key)

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