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

William Dunham (mathematician)
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This quiz consists of 5 multiple choice and 5 short answer questions through Cardano and the Solution of the Cubic.

Multiple Choice Questions

1. How did Archimedes demonstrate his theory of pi?
(a) He demonstrated that the area of the circle is never equal to the area of the triangle.
(b) He demonstrated that the area of the circle is never less than the area of the triangle.
(c) He demonstrated that the area of the circle is neither greater than nor less than the area of the triangle and therefore must be equal to it.
(d) He demonstrated that the area of the circle is always greater than the area of the triangle.

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

3. What is true about prime numbers?
(a) That for every group of prime numbers, there exists at least one more prime.
(b) Prime numbers are not divisible by other numbers.
(c) Prime numbers can not exist in a finite series.
(d) Prime numbers can never be an odd number.

4. In Elements, how many postulates must be accepted as given?
(a) Twelve,
(b) Five.
(c) Eighteen.
(d) Twenty-two.

5. What was known about pi, during Archimedes' time?
(a) That it was never the same number value for a given circle.
(b) Nothing, the concept of pi was unknown.
(c) That it could not be assigned a relationship between measurements in a circle.
(d) That is was the relationship between the diameter and circumference of a circle.

Short Answer Questions

1. When was the work of these early thinkers rediscovered again in history?

2. What allowed Cardano to justify publishing his book?

3. Which mathematician was first to take the challenge to solve cubic equations?

4. Who was Neil's Abel?

5. After working on pi, what did Archimedes continue with in his study of mathematics?

(see the answer key)

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