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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. Which shapes as described by Euclid, inspired the Greek philosopher Plato?
(a) Triangles.
(b) Manifolds.
(c) Spheres and cones.
(d) Regular polyhedrons.

2. What does the Pythagorean Theorem state?
(a) For any triangle the sum of the legs squared is equal to the length of the hypotenuse.
(b) For any right triangle the diagonal side is equal to the sum of the legs.
(c) For any right triangle the square of the diagonal side is equal to the sum of the squares of the two legs.
(d) For any triangle the sqaured sum of the legs is equal to half the hypotenuse.

3. Which of the following best describes Archimedes as discussed by Dunham?
(a) Mild-mannered researcher.
(b) Loud and arrogant.
(c) Creative but stubborn.
(d) Absent-minded genius.

4. 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.

5. Which words best describe how solid proofs were developed in Elements?
(a) Axiomatic framework.
(b) Simple arguments.
(c) Programmed order.
(d) Inverted scaffold.

Short Answer Questions

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

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

3. Which of the following were an example of twin primes?

4. Which of the following was NOT defined by Euclid?

5. What was known about pi, during Archimedes' time?

(see the answer key)

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