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

**2. What was true about Hippocrates's proof?**
**(a)** The proof was easy if their was advanced technology available. **(b)** It was useful for circles. **(c)** The proof was exceedingly difficult and not understood at the time. **(d)** It was fairly easy and simple.

**3. In what century did Archimedes live?**
**(a)** First century A.D, **(b)** Nineteeth century A.D. **(c)** Twelthf century A.D. **(d)** Third century B.C.

**4. In Elements, how many postulates must be accepted as given?**
**(a)** Five. **(b)** Twenty-two. **(c)** Twelve, **(d)** Eighteen.

**5. That properties of specific shapes were early Egyptians aware of?**
**(a)** Pi and the diameter of a circle. **(b)** Parallelograms. **(c)** Right triangles. **(d)** Irregular solids.

## Short Answer Questions

**1.** "Straight lines in the same plane that will never meet if extended forever" is a definition of what?

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

**3.** Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?

**4.** What was true about Heron's theorem as described by Dunham?

**5.** What did Hippocrates do that advanced mathematical methods?

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