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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 is an example of a postulate that must be accepted in Elements?
(a) It is possible to draw an arc with any three points.
(b) It is possible to connect any two points with a line and make a circle.
(c) It is possible to draw a circle that contains no lines.
(d) It is possible to draw a straight line between an infinite number of points.

2. Numbers whose divisor add up to itself, was considered which type of number according to Euclid?
(a) Even number.
(b) Composite number.
(c) Perfect number.
(d) Nominal number.

3. What was Euclid's definition of a prime number?
(a) Numbers which can only be divided by themselves and 1.
(b) Numbers which contain an infinite number of composite numbers.
(c) Numbers which do not, and can not, contain a perfect number.
(d) Numbers which are divisible by 2.

4. What did most of Heron's work deal with?
(a) Practical solutions to public problems.
(b) Philosophical questions on the origins of the universe.
(c) Practical mathematics applications.
(d) Theoretical mathematics.

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

Short Answer Questions

1. How many definitions were stated in Elements?

2. Which of the following was an important proposition given by Euclid's number theory?

3. How many sides did the pentadecagon have, as presented by Euclid?

4. Who was Neil's Abel?

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

(see the answer key)

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