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This quiz consists of 5 multiple choice and 5 short answer questions through Euclid and the Infinitude of Primes.

## Multiple Choice Questions

**1. What did Ferdinand Lindeman prove in 1882?**
**(a)** It is impossible to find the square of a semicircle. **(b)** That the square root of the hypotenuse of a right triangle can not be found. **(c)** It is possible to find the square of a circle. **(d)** That the square of a circle can not be found with a compass and a straight-edge.

**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. Which of the following becomes an important definition in mathematics that was first presented in Elements?**
**(a)** Circle. **(b)** Intersection. **(c)** Parallel line. **(d)** 180 degree angle.

**4. What was the bases of Hippocrates's proof ?**
**(a)** Properties of squares and cubes. **(b)** Properties of area to volume measurements. **(c)** Properties of triangles and semicircles. **(d)** Properties of points and lines.

**5. Which of the following is false about the modern implications of Euclid's number theory?**
**(a)** Whether there are no odd perfect numbers is still not known. **(b)** Euclid gave a good idea for how to construct even perfect numbers. **(c)** Euclid's recipe for constructing even perfect numbers is incorrect. **(d)** Great mathematicians continue to puzzle over some aspects of Euclid's number theory.

## Short Answer Questions

**1.** That properties of specific shapes were early Egyptians aware of?

**2.** Which of the following was an important proposition given by Euclid's number theory?

**3.** According to Euclid, when is a triangle a right triangle?

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

**5.** What was Hippocrates's great advance to mathematics?

This section contains 391 words(approx. 2 pages at 300 words per page) |