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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 name did Euclid give for numbers that could be divided by numbers other than themselves and one?
(a) Composite numbers.
(b) Discrete numbers.
(c) Even numbers.
(d) Perfect numbers.

2. What did Archimedes manage to prove using Euclid's ideas?
(a) That the relationship of area to circumference is really the same as the relationship of radius to diameter.
(b) That the value of pi is proportional to the area of the circle.
(c) That the square of a diameter is equal to pi.
(d) That the area of a circle and the square of its diameter is really the same as the relationship of diameter to circumference.

3. Which was true of Euclid's number theory?
(a) It was incorrect, as proved by Plato.
(b) It was proven to the true by Hippocrates.
(c) It has an impact on modern math.
(d) It has been proven too basic to be useful.

4. Why did Cardano take an oath to secrecy?
(a) It was the only way to get his book published.
(b) It was the only way to get Tartaglia's solution to cubic equations.
(c) It was to the only way to win the contest with Fior,
(d) It was the only way he could become a priest,

5. Which of the following can not be solved using algebra?
(a) Geometric equation.
(b) Quintic equation.
(c) Triangulation.
(d) Quadratic equation.

Short Answer Questions

1. Which of the following was NOT one of the basic definitions in Elements?

2. Where was Archimedes born?

3. Which of the following was NOT a field in which Isaac Newton made enormous advances?

4. Which of the following is true about pi, as described by Dunham.

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

(see the answer key)

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