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

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

**3. Which of the following is an example of a postulate that must be accepted in Elements?**
**(a)** It is possible to draw a circle that contains no lines. **(b)** It is possible to draw a straight line between an infinite number of points. **(c)** It is possible to draw an arc with any three points. **(d)** It is possible to connect any two points with a line and make a circle.

**4. Who was del Ferro's student?**
**(a)** Niccolo Fontana. **(b)** Gerolamo Cardano. **(c)** Luca Pacioli. **(d)** Antonio Fior.

**5. What was described as true about the series 1 + 1/2 + 1/6 + 1/10 + 1/15 + 1/21?**
**(a)** It's a convergent series of triangular numbers. **(b)** It's a divergent series squared numbers. **(c)** It's a convergent series of cubic numbers. **(d)** It's a divergent series with a sum of 2.

## Short Answer Questions

**1.** What name did Euclid give for numbers that could be divided by numbers other than themselves and one?

**2.** Why did Cardano take an oath to secrecy?

**3.** What was Eratosthanes most famous for?

**4.** Who acted as the gate keepers of knowledge?

**5.** Who was the author of the book Elements?

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