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

2. How did Archimedes demonstrate his theory of pi?
(a) He demonstrated that the area of the circle is never equal to the area of the triangle.
(b) He demonstrated that the area of the circle is always greater than the area of the triangle.
(c) He demonstrated that the area of the circle is neither greater than nor less than the area of the triangle and therefore must be equal to it.
(d) He demonstrated that the area of the circle is never less than the area of the triangle.

3. What did Dunham discuss for many pages in this chapter?
(a) Heron's origins of the universe.
(b) Heron's complicated proof.
(c) Heron's religious beliefs-
(d) Heron's political tendancy.

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

5. What was Eratosthanes most famous for?
(a) He developed a simple way to find prime numbers and for determining the circumference of the Earth.
(b) He showed that the Earth must be a sphere.
(c) He showed that there are no even prime numbers.
(d) He developed a way to navigate using logitude and latitude.

Short Answer Questions

1. That properties of specific shapes were early Egyptians aware of?

2. Heron devised which of the following methods?

3. Which of the following was NOT one of Gauss' discoveries?

4. What was the same about Apollonius and Erosthanes?

5. According to Euclid, when is a triangle a right triangle?

(see the answer key)

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