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 did the Pythagorean Theorem accomplish for mathematics?
(a) The concept of providing a logical proof.
(b) The ability to find square roots.
(c) The ability to measure angles.
(d) The concept of constructing useful mathematics.

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 is no longer a mystery as we have an exact number value in modern mathematics.
(c) The measurement of pi was redetermined after Archimedes's death.
(d) The measurement of pi should not have been so difficult for Archimedes to demonstrate.

3. What was Hippocrates's great advance to mathematics?
(a) He showed how to square a figure with curved sides.
(b) He showed how to simplify the area of a triangle.
(c) He showed how to find the angles in a right triangle.
(d) He showed how to square a circle.

4. What did Ferdinand Lindeman prove in 1882?
(a) It is impossible to find the square of a semicircle.
(b) That the square of a circle can not be found with a compass and a straight-edge.
(c) That the square root of the hypotenuse of a right triangle can not be found.
(d) It is possible to find the square of a circle.

5. 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 determining the distance between two points.
(c) It was useful in creating simple elevation maps,
(d) It was useful in finding the area of oddly shaped pieces of land.

Short Answer Questions

1. What did Hippocrates do that advanced mathematical methods?

2. How many sides did the pentadecagon have, as presented by Euclid?

3. How did Archimedes demonstrate his theory of pi?

4. Where was Archimedes born?

5. Which of the following is INCORRECT, and not used in Archimedes proof of his theory?

(see the answer key)

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