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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 did most of Heron's work deal with?**
**(a)** Theoretical mathematics. **(b)** Practical solutions to public problems. **(c)** Practical mathematics applications. **(d)** Philosophical questions on the origins of the universe.

**2. Who were Johann and Jakob Bernoulli?**
**(a)** Cousins and students with Leibniz in Paris. **(b)** Cousins and students with Newton at Cambridge. **(c)** Twin brothers and students of Newton. **(d)** Brothers and students of Leibniz.

**3. Who was Eratosthanes?**
**(a)** He was the first to study political sciences. **(b)** He was a teacher and philosopher. **(c)** He was the chief librarian, and a mathematician. **(d)** He was a mathematician, and leading doctor.

**4. Which is one of the common notions presented in Elements?**
**(a)** "Things with are equal have an inverse that is equal." **(b)** "The inverse of a line makes a circle." **(c)** "Points with equal values can be connected with a line of equal value." **(d)** "Things which are equal to the same thing are also equal to each other."

**5. How did Gauss feel about his best work?**
**(a)** He was confident that it would change mathematics. **(b)** He was uncertain if it was useful. **(c)** He was unceratin if it would be accepted by his collegues. **(d)** He was confident that his students would find it of great importance.

## Short Answer Questions

**1.** Where does the center of mathematical thinking shift to after Italy?

**2.** Which of the following was one of Gauss' early discoveries?

**3.** Which of the following is INCORRECT, and not used in Archimedes proof of his theory?

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

**5.** What didn't Euler attempt?

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