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This quiz consists of 5 multiple choice and 5 short answer questions through A Sampler of Euler's Number Theory.

## Multiple Choice Questions

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

**2. What hindered Euler's work as he grew older?**
**(a)** His increasing blindness. **(b)** His hearing was getting worse. **(c)** He had very bad arthritis. **(d)** He had a stroke.

**3. In his later life, what position did Isaac Newton hold?**
**(a)** Angelican father. **(b)** Warden of the Mint. **(c)** Principle science advisor to Charles II. **(d)** Professor of philosophy in Paris.

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

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

## Short Answer Questions

**1.** Which words best describe how solid proofs were developed in Elements?

**2.** Which of the following was NOT true about Archimedes, according to Dunham?

**3.** Which of the following becomes an important definition in mathematics that was first presented in Elements?

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

**5.** Who encourages Newton during his studies at Cambridge?

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