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

2. What was Eratosthanes most famous for?
(a) He showed that there are no even prime numbers.
(b) He developed a way to navigate using logitude and latitude.
(c) He developed a simple way to find prime numbers and for determining the circumference of the Earth.
(d) He showed that the Earth must be a sphere.

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

4. What did Euclid do in his 48th proposition?
(a) Euclid proved the Pythagorean Theorem.
(b) Euclid demonstrated how to use the Pythagorean Theorem.
(c) Euclid demonstrated the faults of the Pythagorean Theorem.
(d) Euclid proved the converse of the Pythagorean Theorem.

5. Which mathematician was first to take the challenge to solve cubic equations?
(a) Tartaglia.
(b) Scipione del Ferro.
(c) Luca Pacioli.
(d) Niccolo Fontana.

Short Answer Questions

1. Which shapes as described by Euclid, inspired the Greek philosopher Plato?

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

3. In Elements, how many postulates must be accepted as given?

4. Which of the following is true in modern math about twin primes?

5. What is the name for determining the area of an enclosed space by constructing a square of equivalent area?

(see the answer key)

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