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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 Dunham claim about Archimedes's determination of a number value for pi?**
**(a)** Archimedes's number was very good, considering he did not have a way to calculate square roots. **(b)** Archimedes's number could have been better if he had understood Euclid's work better, **(c)** Archimedes's number was not very accurate, considering the technology of his time. **(d)** Archimedes's number was perfectly correct.

**2. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?**
**(a)** Hyperbola. **(b)** Pentagon. **(c)** Hexagon. **(d)** Triangle.

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

**4. What was Euclid's definition of a prime number?**
**(a)** Numbers which do not, and can not, contain a perfect number. **(b)** Numbers which are divisible by 2. **(c)** Numbers which contain an infinite number of composite numbers. **(d)** Numbers which can only be divided by themselves and 1.

**5. According to Euclid, when is a triangle a right triangle?**
**(a)** When a triangle can be constructed with three unequal sides. **(b)** When a triangle has a side whose square is the sum of the squares of the two legs. **(c)** When a triangle does not have a side which can be considered a hypotenuse. **(d)** When a triangle has three sides whose squares are equal to the area of the triangle.

## Short Answer Questions

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

**2.** Which of the following was true about Cardano, according to Dunham?

**3.** Which of the following was NOT defined by Euclid?

**4.** What else, besides a solution to cubic equations, was in Cardano's book?

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

This section contains 348 words(approx. 2 pages at 300 words per page) |