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

**2. Which of Euclid's postulates troubled many of the following generations of mathematicians?**
**(a)** Euclid's postulate on right triangles. **(b)** Euclid's proof on right triangles. **(c)** Euclid's postulate on parallel lines. **(d)** Euclid's postulate on creating an arc.

**3. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?**
**(a)** Euclid constructed squares on the sides of right triangles. **(b)** Euclid used his own axioms and propositions to show relationships, **(c)** Euclid used propositions about similar angles and parallel lines. **(d)** Euclid stated that the diagonal hypotenuse of a right triangle is equal to the sums of the squares of the two legs.

**4. What was the title of Cardano's book which contained the solution to the cubic?**
**(a)** Elements. **(b)** Tarsisia. **(c)** La Magnifica. **(d)** Ars Magna.

**5. What is true about prime numbers?**
**(a)** Prime numbers can never be an odd number. **(b)** Prime numbers can not exist in a finite series. **(c)** Prime numbers are not divisible by other numbers. **(d)** That for every group of prime numbers, there exists at least one more prime.

## Short Answer Questions

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

**2.** After Hippocrates, what shape did the Greeks attempt to square without success?

**3.** Which of the following best describes Archimedes as discussed by Dunham?

**4.** As described by Dunham, what did Archimedes demonstrate first in his proof on pi?

**5.** Who was Heron?

This section contains 438 words(approx. 2 pages at 300 words per page) |