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This quiz consists of 5 multiple choice and 5 short answer questions through A Gem from Isaac Newton.

## Multiple Choice Questions

**1. As described by Archimedes, what is always true about he diameter of the circle?**
**(a)** It's always proportional to its circumference. **(b)** It's equal to the square of the radius. **(c)** It's equal to pi. **(d)** It's never proportional to its circumference.

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

**3. What did Gauss set out to prove?**
**(a)** That Euclid's postulate on straight lines was incorrect. **(b)** That the sum of the angles in a triangle is 180 degrees. **(c)** That a circle can have less than 360 degrees. **(d)** That a right angle is always equal to 90 degrees.

**4. Which of the following was NOT true about Archimedes, according to Dunham?**
**(a)** He died as a soldier. **(b)** Archimedes died because he refused to follow orders until he completed a math problem. **(c)** He died during the fall of Syracuse. **(d)** His death was described as being by the hands of a Roman invader.

**5. Where was Neil's Abel from?**
**(a)** Great Britian, **(b)** Ireland. **(c)** Finland. **(d)** Norway.

## Short Answer Questions

**1.** Where was Archimedes born?

**2.** Who was Neil's Abel?

**3.** Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?

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

**5.** As described by Dunham, what did Archimedes demonstrate first in his proof on pi?

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