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Name: _________________________ | Period: ___________________ |

This test consists of 15 multiple choice questions and 5 short answer questions.

## Multiple Choice Questions

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

**2. Which shapes as described by Euclid, inspired the Greek philosopher Plato?**
**(a)** Regular polyhedrons. **(b)** Triangles. **(c)** Spheres and cones. **(d)** Manifolds.

**3. After Hippocrates, what shape did the Greeks attempt to square without success?**
**(a)** Parallelogram. **(b)** Pentagon. **(c)** Circle. **(d)** Hemisphere.

**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 determine the area of a circle by measuring a right triangle inside the circle. **(c)** It was to solve equations were only two varibles are known. **(d)** It was to find the area of a triangle when only the length of the sides are known.

**5. Who asked Tartaglia for his solution to cubic equations?**
**(a)** Fior, **(b)** Cardano. **(c)** Pacioli. **(d)** Fontana.

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

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

**8. Heron devised which of the following methods?**
**(a)** A way to apply mathematics to public health. **(b)** A way to solve binomial equations. **(c)** A way to determine the volume in a sphere. **(d)** A way to determine the area of a triangle.

**9. What were the proofs in Elements based on?**
**(a)** Ancient greek geometry. **(b)** Novel notions. **(c)** Basic definitions. **(d)** Lindeman's method.

**10. After working on pi, what did Archimedes continue with in his study of mathematics?**
**(a)** He studied the volume and surface area of spheres, cones, and cylinders. **(b)** He studied the volume to surface area ratios of cubes. **(c)** He studied the relationship of sine to cosine. **(d)** He studied the relationship between ratios in triangles.

**11. Who challenged Tartaglia to a contest to solve cubic equations?**
**(a)** Cardano. **(b)** Pacioli. **(c)** Fior. **(d)** del Ferro.

**12. When was the work of these early thinkers rediscovered again in history?**
**(a)** In the 18th century. **(b)** In the Elizabethian age. **(c)** In the Renaissance. **(d)** In the 20th century.

**13. What was Hippocrates famous for?**
**(a)** His proof on right triangles. **(b)** His theorem on the quadrature of the lune. **(c)** His proof defining gravity. **(d)** His ability to construct circles without a compass.

**14. Exactly what limit is reached at a quartic equation?**
**(a)** The limit of the decompressed cubic method. **(b)** The limit of algebra. **(c)** The limit of logical geometric proofs. **(d)** The limit of the Pythagorean Theorem.

**15. Who acted as the gate keepers of knowledge?**
**(a)** Greek philosophers. **(b)** Roman emporers. **(c)** Arabian scholars. **(d)** Greek tradesman.

## Short Answer Questions

**1.** What does the Pythagorean Theorem state?

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

**3.** Which of the following can not be solved using algebra?

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

**5.** What did Dunham discuss for many pages in this chapter?

This section contains 591 words(approx. 2 pages at 300 words per page) |