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This quiz consists of 5 multiple choice and 5 short answer questions through Cardano and the Solution of the Cubic.

## Multiple Choice Questions

**1. Where did Hippocrates come from?**
**(a)** Athens. **(b)** Chios. **(c)** Constinople. **(d)** Rome.

**2. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?**
**(a)** Triangle. **(b)** Hexagon. **(c)** Hyperbola. **(d)** Pentagon.

**3. What was most useful about finding the square of a shape, before Hippocrates?**
**(a)** It was useful in finding the area of oddly shaped pieces of land. **(b)** It was useful in determining the distance between two points. **(c)** It was useful in creating simple elevation maps, **(d)** It was useful in finding the area of circles.

**4. What did Dunham consider as Archimedes's "masterpiece"?**
**(a)** Archimedes' work on determining a number value for pi. **(b)** Archimedes' work on shperes, cones, and cylinders. **(c)** Archimedes' work on volume to surface area ratios. **(d)** Archimedes' work on determining angular measurements.

**5. What was known about pi, during Archimedes' time?**
**(a)** That is was the relationship between the diameter and circumference of a circle. **(b)** That it was never the same number value for a given circle. **(c)** That it could not be assigned a relationship between measurements in a circle. **(d)** Nothing, the concept of pi was unknown.

## Short Answer Questions

**1.** Exactly what limit is reached at a quartic equation?

**2.** What were the proofs in Elements based on?

**3.** What did Ferdinand Lindeman prove in 1882?

**4.** How did Archimedes demonstrate his theory of pi?

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

This section contains 380 words(approx. 2 pages at 300 words per page) |