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

2. What was described as true about the series 1 + 1/2 + 1/6 + 1/10 + 1/15 + 1/21?
(a) It's a divergent series squared numbers.
(b) It's a convergent series of triangular numbers.
(c) It's a divergent series with a sum of 2.
(d) It's a convergent series of cubic numbers.

3. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?
(a) Circle.
(b) Parallel lines.
(c) 180 degree angle.
(d) Intersection.

4. In his later life, what position did Isaac Newton hold?
(a) Professor of philosophy in Paris.
(b) Warden of the Mint.
(c) Principle science advisor to Charles II.
(d) Angelican father.

5. Which shapes as described by Euclid, inspired the Greek philosopher Plato?
(a) Manifolds.
(b) Regular polyhedrons.
(c) Spheres and cones.
(d) Triangles.

Short Answer Questions

1. To how many decimal places did Newton determine the number for pi?

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

3. What was known about pi, during Archimedes' time?

4. In general, what did Euclid's number theory describe?

5. What was the title of Cardano's book which contained the solution to the cubic?

(see the answer key)

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