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. What was true about Hippocrates's proof?
(a) The proof was exceedingly difficult and not understood at the time.
(b) It was useful for circles.
(c) It was fairly easy and simple.
(d) The proof was easy if their was advanced technology available.

2. Which of the following is true about pi, as described by Dunham.
(a) The measurement of pi is a challenge that continues into modern mathematics.
(b) The measurement of pi was redetermined after Archimedes's death.
(c) The measurement of pi should not have been so difficult for Archimedes to demonstrate.
(d) The measurement of pi is no longer a mystery as we have an exact number value in modern mathematics.

3. What is the name for determining the area of an enclosed space by constructing a square of equivalent area?
(a) Cubation.
(b) Square root.
(c) Quadrature.
(d) Triangulation.

4. What was most useful about finding the square of a shape, before Hippocrates?
(a) It was useful in finding the area of circles.
(b) It was useful in finding the area of oddly shaped pieces of land.
(c) It was useful in determining the distance between two points.
(d) It was useful in creating simple elevation maps,

5. Which is one of the common notions presented in Elements?
(a) "The inverse of a line makes a circle."
(b) "Points with equal values can be connected with a line of equal value."
(c) "Things with are equal have an inverse that is equal."
(d) "Things which are equal to the same thing are also equal to each other."

Short Answer Questions

1. What did Gauss set out to prove?

2. As described by Dunham, what did Archimedes demonstrate first in his proof on pi?

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

4. How many definitions were stated in Elements?

5. In what century did Archimedes live?

(see the answer key)

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