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This quiz consists of 5 multiple choice and 5 short answer questions through A Sampler of Euler's Number Theory.

Multiple Choice Questions

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

2. Which of the following was true about Cardano, according to Dunham?
(a) He was jailed for heresy.
(b) He had three wives.
(c) He was not a mathematician.
(d) He was a priest.

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

4. Which of the following becomes an important definition in mathematics that was first presented in Elements?
(a) Parallel line.
(b) Circle.
(c) 180 degree angle.
(d) Intersection.

5. Where does the center of mathematical thinking shift to after Italy?
(a) To Britian and Scotland.
(b) To Turkey and Russia.
(c) To France and Britian.
(d) To Germany and Russia.

Short Answer Questions

1. What does the Pythagorean Theorem state?

2. What provided most of the content in the book Elements?

3. Who was the first of ancient philosophers to consider why geometric properties existed?

4. Which of the following was one of Euclid's great theorems?

5. Who, in modern day, is given credit for the calculus method?

(see the answer key)

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