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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 was Hippocrates's great advance to mathematics?**
**(a)** He showed how to find the angles in a right triangle. **(b)** He showed how to square a figure with curved sides. **(c)** He showed how to simplify the area of a triangle. **(d)** He showed how to square a circle.

**2. Which of the following was NOT one of Gauss' discoveries?**
**(a)** That angles in a triangles can not add up to more than 180 degrees. **(b)** That under Euclid's definition parallel lines can intersect. **(c)** "Non-euclidean" geometry. **(d)** That there is no apparent contraction to the assumption that the sum of angles in a triangle can have fewer than 180 degrees.

**3. What sum did Euler find for the series?**
**(a)** 1. **(b)** 2. **(c)** The sum was infinite. **(d)** π²/6

**4. Who wrote a treatise that supposed that cubic equations may be impossible to solve?**
**(a)** Scipione del Ferro. **(b)** Luca Pacioli. **(c)** Niccolo Fontana. **(d)** Gerolamo Cardano.

**5. Which of the following was an important proposition given by Euclid's number theory?**
**(a)** Any perfect number is divisible by some composite number. **(b)** Any even number is divisible by 3. **(c)** Any composite number is divisible by some prime number. **(d)** Numbers from one to ten are only divisible by composite numbers.

## Short Answer Questions

**1.** Heron devised which of the following methods?

**2.** Which of the following becomes an important definition in mathematics that was first presented in Elements?

**3.** In what century did Archimedes live?

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

**5.** How did Lindeman prove his conclusion?

This section contains 361 words(approx. 2 pages at 300 words per page) |