Journey Through Genius: The Great Theorems of Mathematics Quiz | Four Week Quiz A

William Dunham (mathematician)
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This quiz consists of 5 multiple choice and 5 short answer questions through Archimedes' Determination of Circular Area.

Multiple Choice Questions

1. How many sides did the pentadecagon have, as presented by Euclid?
(a) Twenty.
(b) Five.
(c) Ten.
(d) Fifteen.

2. Which of the following is an example of a perfect number?
(a) 10.
(b) 6.
(c) 20.
(d) 1.

3. What did Euclid state about pi in Elements?
(a) The proportion of area to circumference is never equal.
(b) The proportion of diameter to area is never equal.
(c) There is a constant relationship between the area of a circle and the square of its diameter.
(d) There is no relationship between the area of a circle and its circumference.

4. Which of the following was NOT defined by Euclid?
(a) Even numbers.
(b) Nominal numbers.
(c) Odd numbers.
(d) Whole numbers.

5. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?
(a) Euclid used propositions about similar angles and parallel lines.
(b) Euclid constructed squares on the sides of right triangles.
(c) Euclid used his own axioms and propositions to show relationships,
(d) Euclid stated that the diagonal hypotenuse of a right triangle is equal to the sums of the squares of the two legs.

Short Answer Questions

1. After working on pi, what did Archimedes continue with in his study of mathematics?

2. Which of Euclid's postulates troubled many of the following generations of mathematicians?

3. How did Lindeman prove his conclusion?

4. What did Dunham claim about Archimedes's determination of a number value for pi?

5. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?

(see the answer key)

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