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

**2. What did Heron's advances put into historical perspective for Dunham?**
**(a)** A shift in learning across continents. **(b)** A shift in information flow that ignored socioeconomic order. **(c)** A change in political theory across the globe. **(d)** A change in learning foundations in the ancient scholarly universities.

**3. What was Hippocrates's great advance to mathematics?**
**(a)** He showed how to square a circle. **(b)** He showed how to find the angles in a right triangle. **(c)** He showed how to simplify the area of a triangle. **(d)** He showed how to square a figure with curved sides.

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

**5. Which of the following is true about pi, as described by Dunham.**
**(a)** The measurement of pi is no longer a mystery as we have an exact number value in modern mathematics. **(b)** The measurement of pi should not have been so difficult for Archimedes to demonstrate. **(c)** The measurement of pi was redetermined after Archimedes's death. **(d)** The measurement of pi is a challenge that continues into modern mathematics.

## Short Answer Questions

**1.** Which of the following is INCORRECT, and not used in Archimedes proof of his theory?

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

**3.** In what time period did mathematicians find a solution to cubic equations?

**4.** What do we know in modern times about Heron?

**5.** Who asked Tartaglia for his solution to cubic equations?

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