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This quiz consists of 5 multiple choice and 5 short answer questions through Heron's Formula for Triangular Area.

## Multiple Choice Questions

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

**2. What did Dunham discuss for many pages in this chapter?**
**(a)** Heron's origins of the universe. **(b)** Heron's religious beliefs- **(c)** Heron's complicated proof. **(d)** Heron's political tendancy.

**3. Which of Euclid's postulates troubled many of the following generations of mathematicians?**
**(a)** Euclid's postulate on parallel lines. **(b)** Euclid's postulate on creating an arc. **(c)** Euclid's proof on right triangles. **(d)** Euclid's postulate on right triangles.

**4. Which of the following is an example of a postulate that must be accepted in Elements?**
**(a)** It is possible to draw a circle that contains no lines. **(b)** It is possible to draw a straight line between an infinite number of points. **(c)** It is possible to draw an arc with any three points. **(d)** It is possible to connect any two points with a line and make a circle.

**5. What did Euclid state about pi in Elements?**
**(a)** The proportion of diameter to area is never equal. **(b)** The proportion of area to circumference is never equal. **(c)** There is a constant relationship between the area of a circle and the square of its diameter. **(d)** There is no relationship between the area of a circle and its circumference.

## Short Answer Questions

**1.** After working on pi, what did Archimedes continue with in his study of mathematics?

**2.** What was the same about Apollonius and Erosthanes?

**3.** What do we know in modern times about Heron?

**4.** What did Heron's advances put into historical perspective for Dunham?

**5.** Which shapes as described by Euclid, inspired the Greek philosopher Plato?

This section contains 427 words(approx. 2 pages at 300 words per page) |