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This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.

Multiple Choice Questions

1. Which of the following becomes an important definition in mathematics that was first presented in Elements?
(a) Parallel line.
(b) 180 degree angle.
(c) Intersection.
(d) Circle.

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

3. Who acted as the gate keepers of knowledge?
(a) Greek philosophers.
(b) Arabian scholars.
(c) Roman emporers.
(d) Greek tradesman.

4. What provided most of the content in the book Elements?
(a) Propositions.
(b) Notions.
(c) Postulates.
(d) Hypotheses.

5. Which of the following best describes Cardano's character?
(a) Religious.
(b) Eccentric.
(c) Arrogant.
(d) Flirtacious.

Short Answer Questions

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

2. What is a "depressed cubic"?

3. What does the Pythagorean Theorem state?

4. What did most of Heron's work deal with?

5. That properties of specific shapes were early Egyptians aware of?

Short Essay Questions

1. Describe what is quadrature and why it was useful in the time of Hippocrates.

2. Describe what work of Euclid's fascinated Plato and his theory on the shape of the Universe.

3. What was Euclid's definition of composite and perfect numbers?

4. Describe the events that follow del Ferro's death between Fior and Tartaglia.

5. What did Euclid state for his theory on prime numbers?

6. Explain when the knowledge of ancient scholars was rediscovered.

7. How did Heron find the area of a triangle, and what did Dunham state about Heron's work?

8. Who was Luca Pacioli, and what controversy was sparked over his writings?

9. Explain what Neils Abel proved.

10. How many definitions were in Euclid's book? List some of the definitions he included.

(see the answer keys)

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