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This quiz consists of 5 multiple choice and 5 short answer questions through A Sampler of Euler's Number Theory.

## Multiple Choice Questions

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

**2. Who wrote a treatise that supposed that cubic equations may be impossible to solve?**
**(a)** Niccolo Fontana. **(b)** Gerolamo Cardano. **(c)** Scipione del Ferro. **(d)** Luca Pacioli.

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

**4. What series was Euler most famous for?**
**(a)** 1 + 1/2 + 3/4 + 4/5 . . . **(b)** 1 + 1/4 + 1/9 + 1/16 . . . + 1/k² . . . **(c)** 1 + 1/2 + 1/6 + 1/10 + 1/15 . . . **(d)** 1 + 1/2³ + 1/3³ + 1/4³ . . . 1/k³ . . .

**5. What was Hippocrates's great advance to mathematics?**
**(a)** He showed how to square a figure with curved sides. **(b)** He showed how to simplify the area of a triangle. **(c)** He showed how to find the angles in a right triangle. **(d)** He showed how to square a circle.

## Short Answer Questions

**1.** Which of the following is false about the modern implications of Euclid's number theory?

**2.** Where was Neil's Abel from?

**3.** Which was true of Euclid's number theory?

**4.** Who else, besides Newton, independently discovered a calculus method?

**5.** What did Gauss construct?

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