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

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

3. Which of the following was NOT one of the basic definitions in Elements?
(a) Straight Line.
(b) Line.
(c) Right angles.
(d) Parabola.

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

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

Short Answer Questions

1. That properties of specific shapes were early Egyptians aware of?

2. Which is one of the common notions presented in Elements?

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

4. What was Hippocrates famous for?

5. According to Euclid, when is a triangle a right triangle?

(see the answer key)

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