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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. What did Plato use his inspiration from Euclid for?**
**(a)** To prove Euclid's number theory was incorrect. **(b)** To classify geometric shapes by their complexity. **(c)** To construct his theory on the shape of the Universe. **(d)** To create a new theorem of algebra.

**2. What was known about pi, during Archimedes' time?**
**(a)** That it was never the same number value for a given circle. **(b)** That it could not be assigned a relationship between measurements in a circle. **(c)** That is was the relationship between the diameter and circumference of a circle. **(d)** Nothing, the concept of pi was unknown.

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

**4. Where did Newton go to school before he went to Cambridge?**
**(a)** The King's School. **(b)** Cambridge Prep. **(c)** Charles II Grammar School. **(d)** Oxford Grammar School.

**5. What range of values did Archimedes determine for pi?**
**(a)** Between 3 1/2 and 3 5/8. **(b)** Between 3 10/11 and 3 1/7. **(c)** Between 3 and 3 1/2. **(d)** Between 3 and 4.

## Short Answer Questions

**1.** Which of the following is an example of a postulate that must be accepted in Elements?

**2.** In Elements, how many postulates must be accepted as given?

**3.** What did Dunham claim about Archimedes's determination of a number value for pi?

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

**5.** Which of the following could NOT be included as a step in Euclid's great theorem?

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