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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 did Euclid state about pi in Elements?
(a) The proportion of area to circumference is never equal.
(b) There is no relationship between the area of a circle and its circumference.
(c) There is a constant relationship between the area of a circle and the square of its diameter.
(d) The proportion of diameter to area is never equal.

2. Where was the modern number system developed?
(a) In the West.
(b) In ancient Rome.
(c) In the East.
(d) In ancient Alexanderia.

3. Which of the following were an example of twin primes?
(a) 2 and 6.
(b) 15 and 16.
(c) 11 and 13.
(d) 19 and 22.

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

5. Who was del Ferro's student?
(a) Niccolo Fontana.
(b) Gerolamo Cardano.
(c) Luca Pacioli.
(d) Antonio Fior.

Short Answer Questions

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

2. What did Plato use his inspiration from Euclid for?

3. Dunham showed that Heron's proof could also be used as which of the following?

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

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

(see the answer key)

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