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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. Which of the following was an important proposition given by Euclid's number theory?
(a) Any even number is divisible by 3.
(b) Any perfect number is divisible by some composite number.
(c) Numbers from one to ten are only divisible by composite numbers.
(d) Any composite number is divisible by some prime number.

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

3. Who asked Tartaglia for his solution to cubic equations?
(a) Fontana.
(b) Cardano.
(c) Fior,
(d) Pacioli.

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

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

Short Answer Questions

1. Which is a geometric concept that humans have been aware of since the dawn of agriculture?

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

3. Which of the following best describes Cardano's character?

4. Numbers whose divisor add up to itself, was considered which type of number according to Euclid?

5. What was Hippocrates famous for?

(see the answer key)

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