View a FREE sample

This quiz consists of 5 multiple choice and 5 short answer questions through Cantor and the Transfinite Realm.

Multiple Choice Questions

1. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?
(a) Composite numbers.
(b) Even numbers.
(c) Perfect numbers.
(d) Discrete numbers.

2. Which of the following was NOT defined by Euclid?
(a) Whole numbers.
(b) Nominal numbers.
(c) Odd numbers.
(d) Even numbers.

3. What did Archimedes manage to prove using Euclid's ideas?
(a) That the value of pi is proportional to the area of the circle.
(b) That the area of a circle and the square of its diameter is really the same as the relationship of diameter to circumference.
(c) That the square of a diameter is equal to pi.
(d) That the relationship of area to circumference is really the same as the relationship of radius to diameter.

4. Who challenged Tartaglia to a contest to solve cubic equations?
(a) Pacioli.
(b) del Ferro.
(c) Fior.
(d) Cardano.

5. What was true about Heron's theorem as described by Dunham?
(a) It was to solve equations were only two varibles are known.
(b) It was to find the area of a triangle when only the length of the sides are known.
(c) It was to determine the volume of a sphere without measuring the circumference.
(d) It was to determine the area of a circle by measuring a right triangle inside the circle.

Short Answer Questions

1. Which was true of Euclid's number theory?

2. Which of the following was NOT one of the basic definitions in Elements?

3. Which word best describes Newton's childhood?

4. According to Dunham, who was most able to collect knowledge from around the globe?

5. What did Ferdinand Lindeman prove in 1882?

(see the answer key)

This section contains 346 words (approx. 2 pages at 300 words per page) View a FREE sample