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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. Dunham showed that Heron's proof could also be used as which of the following?**
**(a)** A proof of Euclid's number theory **(b)** A proof of Hippocrates' squared areas. **(c)** A proof of Archimedes' number theory. **(d)** A proof of the Pythagorean Theorem.

**2. Which of the following is INCORRECT, and not used in Archimedes proof of his theory?**
**(a)** Since the circumference can also be expressed as twice the radius multiplied by π, the area is 2πr²/2, or πr². **(b)** Since the diameter of a circle is equal to the hypotenuse of the right triangle, the area of the triangle in his proof is 1/2 the radius times the circumference. **(c)** Since the base of the triangle is equal to the circumference and the height is the radius, the area of the triangle in his proof is 1/2 the radius times the circumference. **(d)** The area of a triangle is one half the base times the height.

**3. What did Apollonius work with in mathematics?**
**(a)** He worked on advanced algebra. **(b)** He worked on conics. **(c)** He develped a way to measure the volume of a sphere. **(d)** He discovered the algrebraic equation.

**4. Why did Cardano take an oath to secrecy?**
**(a)** It was the only way he could become a priest, **(b)** It was the only way to get Tartaglia's solution to cubic equations. **(c)** It was to the only way to win the contest with Fior, **(d)** It was the only way to get his book published.

**5. Heron devised which of the following methods?**
**(a)** A way to determine the volume in a sphere. **(b)** A way to solve binomial equations. **(c)** A way to determine the area of a triangle. **(d)** A way to apply mathematics to public health.

## Short Answer Questions

**1.** Heron's work referred to the work of what other famous scholar?

**2.** What was true about Heron's theorem as described by Dunham?

**3.** In what century did Archimedes live?

**4.** What range of values did Archimedes determine for pi?

**5.** Which of the following can not be solved using algebra?

This section contains 408 words(approx. 2 pages at 300 words per page) |