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

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

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

**4. In what century did Archimedes live?**
**(a)** Twelthf century A.D. **(b)** Third century B.C. **(c)** First century A.D, **(d)** Nineteeth century A.D.

**5. What allowed Cardano to justify publishing his book?**
**(a)** He found del Ferro's orgininal solution to the cubic. **(b)** He was dead, and the book was really published by his student. **(c)** He was punished as a heretic, **(d)** He found Fior's documents which spoke against Tartaglia.

## Short Answer Questions

**1.** Who asked Tartaglia for his solution to cubic equations?

**2.** What was the same about Apollonius and Erosthanes?

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

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

**5.** What was true about Heron's theorem as described by Dunham?

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