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

**2. 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.

**3. What does the Pythagorean Theorem state?**
**(a)** For any right triangle the diagonal side is equal to the sum of the legs. **(b)** For any right triangle the square of the diagonal side is equal to the sum of the squares of the two legs. **(c)** For any triangle the sum of the legs squared is equal to the length of the hypotenuse. **(d)** For any triangle the sqaured sum of the legs is equal to half the hypotenuse.

**4. Which of the following was a major part of Gauss' work in mathematics?**
**(a)** Simple proofs to demonstrate Bernoulli's series. **(b)** Proofs to show that Archimedes' number theory was wrong. **(c)** Proofs on the area of a square. **(d)** Elemental proofs related to the foundations of algebra.

**5. Which of the following were an example of twin primes?**
**(a)** 15 and 16. **(b)** 2 and 6. **(c)** 19 and 22. **(d)** 11 and 13.

## Short Answer Questions

**1.** Which of the following was NOT defined by Euclid?

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

**3.** Which of the following is an example of a postulate that must be accepted in Elements?

**4.** Where did Newton go to school before he went to Cambridge?

**5.** What shape was NOT demonstrated in the Elements as having a relationship to other shapes?

This section contains 338 words(approx. 2 pages at 300 words per page) |