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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. Which of the following can not be solved using algebra?**
**(a)** Quadratic equation. **(b)** Geometric equation. **(c)** Quintic equation. **(d)** Triangulation.

**2. Which shapes as described by Euclid, inspired the Greek philosopher Plato?**
**(a)** Regular polyhedrons. **(b)** Spheres and cones. **(c)** Triangles. **(d)** Manifolds.

**3. Which words best describe how solid proofs were developed in Elements?**
**(a)** Inverted scaffold. **(b)** Axiomatic framework. **(c)** Simple arguments. **(d)** Programmed order.

**4. What did British scholars accuse Leibniz of?**
**(a)** Conspiring the death of Newton. **(b)** Publishing Newton's work without his approval. **(c)** Stealing Newton's Binomial theorem. **(d)** Plagiarizing Newton's calculus method.

**5. Which was true of Euclid's number theory?**
**(a)** It was proven to the true by Hippocrates. **(b)** It has been proven too basic to be useful. **(c)** It has an impact on modern math. **(d)** It was incorrect, as proved by Plato.

## Short Answer Questions

**1.** In general, what did Euclid's number theory describe?

**2.** What great theorem is presented by Dunham in this chapter?

**3.** What is the name for determining the area of an enclosed space by constructing a square of equivalent area?

**4.** Who was the first of ancient philosophers to consider why geometric properties existed?

**5.** Which name does NOT belong?

This section contains 252 words(approx. 1 page at 300 words per page) |