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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. According to Euclid, when is a triangle a right triangle?
(a) When a triangle can be constructed with three unequal sides.
(b) When a triangle has a side whose square is the sum of the squares of the two legs.
(c) When a triangle does not have a side which can be considered a hypotenuse.
(d) When a triangle has three sides whose squares are equal to the area of the triangle.

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

3. Which of the following best describes Archimedes as discussed by Dunham?
(a) Absent-minded genius.
(b) Creative but stubborn.
(c) Loud and arrogant.
(d) Mild-mannered researcher.

4. What was true about Heron's theorem as described by Dunham?
(a) It was to solve equations were only two varibles are known.
(b) It was to determine the volume of a sphere without measuring the circumference.
(c) It was to determine the area of a circle by measuring a right triangle inside the circle.
(d) It was to find the area of a triangle when only the length of the sides are known.

5. Which of the following was NOT true about Archimedes, according to Dunham?
(a) Archimedes died because he refused to follow orders until he completed a math problem.
(b) His death was described as being by the hands of a Roman invader.
(c) He died during the fall of Syracuse.
(d) He died as a soldier.

Short Answer Questions

1. Who was Eratosthanes?

2. What did British scholars accuse Leibniz of?

3. What was the same about the series proposed by Leibniz and the series proposed by Bernoulli?

4. What was most useful about finding the square of a shape, before Hippocrates?

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

(see the answer key)

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