Journey Through Genius: The Great Theorems of Mathematics Quiz | Eight Week Quiz D

William Dunham (mathematician)
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This quiz consists of 5 multiple choice and 5 short answer questions through Cardano and the Solution of the Cubic.

Multiple Choice Questions

1. How did Archimedes arrive at a number value for pi?
(a) By constructing multi-sided polygons inside and outside a circle and determining their perimeters.
(b) By proving pi could not be equal to one.
(c) By proving that pi could not be a negative number.
(d) By constructing successively smaller circles inside circles until he realized all of their ratios of diameter to area were equal.

2. Which mathematician was first to take the challenge to solve cubic equations?
(a) Luca Pacioli.
(b) Niccolo Fontana.
(c) Scipione del Ferro.
(d) Tartaglia.

3. Where was Neil's Abel from?
(a) Ireland.
(b) Great Britian,
(c) Norway.
(d) Finland.

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

5. Numbers whose divisor add up to itself, was considered which type of number according to Euclid?
(a) Nominal number.
(b) Composite number.
(c) Even number.
(d) Perfect number.

Short Answer Questions

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

2. Which of the following is an example of a perfect number?

3. Heron's work referred to the work of what other famous scholar?

4. Which city was the center of thinking and learning in Third century BC?

5. Where was the modern number system developed?

(see the answer key)

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