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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 was NOT a field in which Isaac Newton made enormous advances?**
**(a)** Optics. **(b)** Biology. **(c)** Physics. **(d)** Mathematics.

**2. What is the name for determining the area of an enclosed space by constructing a square of equivalent area?**
**(a)** Cubation. **(b)** Triangulation. **(c)** Quadrature. **(d)** Square root.

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

**4. Which of the following did Dunham concentrate on as one of Newton's great advances?**
**(a)** Quintic theorem. **(b)** Area of a sphere. **(c)** Binomial theorem. **(d)** Quadratic equation.

**5. How did Euler prove if the number 4,294,967,297 was prime or composite?**
**(a)** He divided it by 2. **(b)** He used Newton's calulus methods. **(c)** He factored it. **(d)** He used his own rule of squares.

## Short Answer Questions

**1.** What did Newton's calculus involve?

**2.** Which words best describe how solid proofs were developed in Elements?

**3.** What were the proofs in Elements based on?

**4.** What was most useful about finding the square of a shape, before Hippocrates?

**5.** Which of the following could NOT be included as a step in Euclid's great theorem?

This section contains 305 words(approx. 2 pages at 300 words per page) |