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

William Dunham (mathematician)
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This quiz consists of 5 multiple choice and 5 short answer questions through Euclid's Proof of the Pythagorean Theorem.

Multiple Choice Questions

1. What instruments did the Greeks use to square a shape?
(a) A pendulum.
(b) A sphere and ruler.
(c) A small grid.
(d) A compass and a ruled straight-edge.

2. Which of the following is an example of a postulate that must be accepted in Elements?
(a) It is possible to draw a straight line between an infinite number of points.
(b) It is possible to connect any two points with a line and make a circle.
(c) It is possible to draw an arc with any three points.
(d) It is possible to draw a circle that contains no lines.

3. What did Hippocrates do that advanced mathematical methods?
(a) He proved that mathematics can be applied in a unlogical order.
(b) He built theorems based on sequencially more complex proofs.
(c) He created a new ways to disprove theories.
(d) He demonstrated that geometry does not have to be based on previous knowledge.

4. Who was the first of ancient philosophers to consider why geometric properties existed?
(a) Aristotle.
(b) Thales.
(c) Pythagoras.
(d) Hippocrates.

5. What was the bases of Hippocrates's proof ?
(a) Properties of points and lines.
(b) Properties of squares and cubes.
(c) Properties of triangles and semicircles.
(d) Properties of area to volume measurements.

Short Answer Questions

1. In Elements, how many postulates must be accepted as given?

2. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?

3. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?

4. What provided most of the content in the book Elements?

5. What was Hippocrates's great advance to mathematics?

(see the answer key)

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