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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. Who challenged Tartaglia to a contest to solve cubic equations?**
**(a)** Fior. **(b)** del Ferro. **(c)** Pacioli. **(d)** Cardano.

**2. What was most useful about finding the square of a shape, before Hippocrates?**
**(a)** It was useful in creating simple elevation maps, **(b)** It was useful in finding the area of circles. **(c)** It was useful in finding the area of oddly shaped pieces of land. **(d)** It was useful in determining the distance between two points.

**3. What were the proofs in Elements based on?**
**(a)** Novel notions. **(b)** Basic definitions. **(c)** Ancient greek geometry. **(d)** Lindeman's method.

**4. After working on pi, what did Archimedes continue with in his study of mathematics?**
**(a)** He studied the relationship of sine to cosine. **(b)** He studied the relationship between ratios in triangles. **(c)** He studied the volume to surface area ratios of cubes. **(d)** He studied the volume and surface area of spheres, cones, and cylinders.

**5. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?**
**(a)** Discrete numbers. **(b)** Composite numbers. **(c)** Even numbers. **(d)** Perfect numbers.

## Short Answer Questions

**1.** What did Heron's advances put into historical perspective for Dunham?

**2.** What did Dunham consider as Archimedes's "masterpiece"?

**3.** What do we know in modern times about Heron?

**4.** Dunham showed that Heron's proof could also be used as which of the following?

**5.** What was Euclid's definition of a prime number?

This section contains 379 words(approx. 2 pages at 300 words per page) |