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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 Gauss set out to prove?**
**(a)** That Euclid's postulate on straight lines was incorrect. **(b)** That the sum of the angles in a triangle is 180 degrees. **(c)** That a right angle is always equal to 90 degrees. **(d)** That a circle can have less than 360 degrees.

**2. 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 propositions about similar angles and parallel lines. **(c)** Euclid used his own axioms and propositions to show relationships, **(d)** Euclid stated that the diagonal hypotenuse of a right triangle is equal to the sums of the squares of the two legs.

**3. Which of the following was an important proposition given by Euclid's number theory?**
**(a)** Any perfect number is divisible by some composite number. **(b)** Any composite number is divisible by some prime number. **(c)** Numbers from one to ten are only divisible by composite numbers. **(d)** Any even number is divisible by 3.

**4. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?**
**(a)** Pentagon. **(b)** Triangle. **(c)** Hexagon. **(d)** Hyperbola.

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

## Short Answer Questions

**1.** Which of Euclid's postulates troubled many of the following generations of mathematicians?

**2.** What do we know in modern times about Heron?

**3.** Which of the following is an example of a postulate that must be accepted in Elements?

**4.** Who was the author of the book Elements?

**5.** According to Dunham, who was most able to collect knowledge from around the globe?

This section contains 386 words(approx. 2 pages at 300 words per page) |