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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. Who was Neil's Abel?**
**(a)** He proved that quintic equations cannot be solved using algebra. **(b)** He demonstrated that Cardano's solution to the cubic was incorrect, **(c)** He proved that to solve a quartic equation, one must use more than algebra. **(d)** He demonstrated the modern version of the Pythagorean Theorem.

**2. As described by Archimedes, what is always true about he diameter of the circle?**
**(a)** It's equal to pi. **(b)** It's equal to the square of the radius. **(c)** It's always proportional to its circumference. **(d)** It's never proportional to its circumference.

**3. What is the name for determining the area of an enclosed space by constructing a square of equivalent area?**
**(a)** Square root. **(b)** Cubation. **(c)** Quadrature. **(d)** Triangulation.

**4. Who was the first of ancient philosophers to consider why geometric properties existed?**
**(a)** Thales. **(b)** Pythagoras. **(c)** Hippocrates. **(d)** Aristotle.

**5. How many sides did the pentadecagon have, as presented by Euclid?**
**(a)** Fifteen. **(b)** Five. **(c)** Ten. **(d)** Twenty.

## Short Answer Questions

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

**2.** What did Euclid state about pi in Elements?

**3.** Which mathematician was first to take the challenge to solve cubic equations?

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

**5.** Where was Archimedes born?

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