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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. How many definitions were stated in Elements?**
**(a)** Thirty. **(b)** Eighteen. **(c)** Five. **(d)** Twenty-three.

**2. How do we know about Hippocrates proofs and theorems?**
**(a)** His books and publications. **(b)** What we know is from references of later mathematicians. **(c)** What is known from archived documents of his time. **(d)** Mathematicians rewrote all of his proofs after his death,

**3. How many sides did the pentadecagon have, as presented by Euclid?**
**(a)** Fifteen. **(b)** Five. **(c)** Twenty. **(d)** Ten.

**4. Which was true of Euclid's number theory?**
**(a)** It was incorrect, as proved by Plato. **(b)** It was proven to the true by Hippocrates. **(c)** It has an impact on modern math. **(d)** It has been proven too basic to be useful.

**5. What was true about Heron's theorem as described by Dunham?**
**(a)** It was to determine the volume of a sphere without measuring the circumference. **(b)** It was to determine the area of a circle by measuring a right triangle inside the circle. **(c)** It was to solve equations were only two varibles are known. **(d)** It was to find the area of a triangle when only the length of the sides are known.

## Short Answer Questions

**1.** Which of the following best describes Cardano's character?

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

**3.** What allowed Cardano to justify publishing his book?

**4.** According to Euclid, when is a triangle a right triangle?

**5.** What was true about Hippocrates's proof?

This section contains 390 words(approx. 2 pages at 300 words per page) |