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Journey Through Genius: The Great Theorems of Mathematics Quiz | Eight Week Quiz D

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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.

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?

(see the answer key)

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