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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 was the first of ancient philosophers to consider why geometric properties existed?**
**(a)** Aristotle. **(b)** Pythagoras. **(c)** Thales. **(d)** Hippocrates.

**2. Dunham showed that Heron's proof could also be used as which of the following?**
**(a)** A proof of Archimedes' number theory. **(b)** A proof of Euclid's number theory **(c)** A proof of the Pythagorean Theorem. **(d)** A proof of Hippocrates' squared areas.

**3. What did Dunham consider extraordinary about the Elements?**
**(a)** How Hippocrates ordered the book. **(b)** How geometric proofs were presented. **(c)** The content was totally unique. **(d)** The content was not based on previous authors' work.

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

**5. Which of the following is true in modern math about twin primes?**
**(a)** We don't know if they are finite or infinite. **(b)** They are infinite. **(c)** They are not considered whole numbers. **(d)** Their sum is always another prime number.

## Short Answer Questions

**1.** Which of the following was true about Cardano, according to Dunham?

**2.** Who eventually solved the sum of the successive squared denominator series?

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

**4.** Which of the following was NOT one of the basic definitions in Elements?

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

This section contains 272 words(approx. 1 page at 300 words per page) |