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

**2. What else, besides a solution to cubic equations, was in Cardano's book?**
**(a)** A proof of the Pythagorean Theorem. **(b)** A suggested method to depress all complex geometry. **(c)** An alegrabic solution to quintic equations, **(d)** A solution to quartic equations.

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

**4. What was true about Heron's theorem as described by Dunham?**
**(a)** It was to determine the volume of a sphere without measuring the circumference. **(b)** It was to find the area of a triangle when only the length of the sides are known. **(c)** It was to determine the area of a circle by measuring a right triangle inside the circle. **(d)** It was to solve equations were only two varibles are known.

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

## Short Answer Questions

**1.** Which of the following were an example of twin primes?

**2.** What did Plato use his inspiration from Euclid for?

**3.** How do we know about Hippocrates proofs and theorems?

**4.** What did the Pythagorean Theorem accomplish for mathematics?

**5.** Which is a geometric concept that humans have been aware of since the dawn of agriculture?

This section contains 355 words(approx. 2 pages at 300 words per page) |