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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 did Hippocrates do that advanced mathematical methods?**
**(a)** He proved that mathematics can be applied in a unlogical order. **(b)** He created a new ways to disprove theories. **(c)** He demonstrated that geometry does not have to be based on previous knowledge. **(d)** He built theorems based on sequencially more complex proofs.

**2. What provided most of the content in the book Elements?**
**(a)** Hypotheses. **(b)** Propositions. **(c)** Postulates. **(d)** Notions.

**3. As described by Dunham, what did Archimedes demonstrate first in his proof on pi?**
**(a)** Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's diameter. **(b)** Area of a circle is equal to that of a right triangle that has one leg equal to the circle's hypotenuse and the other leg equal to the circle's circumference. **(c)** Area of a circle is equal to that of a right triangle that has one leg equal to the circle's diameter and the other leg equal to the circle's circumference. **(d)** Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's circumference.

**4. What was Hippocrates's great advance to mathematics?**
**(a)** He showed how to square a figure with curved sides. **(b)** He showed how to find the angles in a right triangle. **(c)** He showed how to simplify the area of a triangle. **(d)** He showed how to square a circle.

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

## Short Answer Questions

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

**2.** Who was Heron?

**3.** What allowed Cardano to justify publishing his book?

**4.** Who's method did Tartaglia's challenger use in the contest to solve cubic equations?

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

This section contains 419 words(approx. 2 pages at 300 words per page) |