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This quiz consists of 5 multiple choice and 5 short answer questions through Euclid's Proof of the Pythagorean Theorem.

## Multiple Choice Questions

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

**2. What was Hippocrates famous for?**
**(a)** His ability to construct circles without a compass. **(b)** His proof on right triangles. **(c)** His proof defining gravity. **(d)** His theorem on the quadrature of the lune.

**3. What was the bases of Hippocrates's proof ?**
**(a)** Properties of area to volume measurements. **(b)** Properties of squares and cubes. **(c)** Properties of triangles and semicircles. **(d)** Properties of points and lines.

**4. Which is one of the common notions presented in Elements?**
**(a)** "Things which are equal to the same thing are also equal to each other." **(b)** "Points with equal values can be connected with a line of equal value." **(c)** "The inverse of a line makes a circle." **(d)** "Things with are equal have an inverse that is equal."

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

## Short Answer Questions

**1.** Where did Hippocrates come from?

**2.** Which of Euclid's postulates troubled many of the following generations of mathematicians?

**3.** What does the Pythagorean Theorem state?

**4.** Which words best describe how solid proofs were developed in Elements?

**5.** What did Euclid do in his 48th proposition?

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