|Name: _________________________||Period: ___________________|
This quiz consists of 5 multiple choice and 5 short answer questions through Euclid's Proof of the Pythagorean Theorem.
Multiple Choice Questions
1. What was Hippocrates famous for?
(a) His proof on right triangles.
(b) His theorem on the quadrature of the lune.
(c) His ability to construct circles without a compass.
(d) His proof defining gravity.
2. What was Hippocrates's great advance to mathematics?
(a) He showed how to square a figure with curved sides.
(b) He showed how to square a circle.
(c) He showed how to find the angles in a right triangle.
(d) He showed how to simplify the area of a triangle.
3. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?
(a) Parallel lines.
(b) 180 degree angle.
4. What did Hippocrates do that advanced mathematical methods?
(a) He proved that mathematics can be applied in a unlogical order.
(b) He built theorems based on sequencially more complex proofs.
(c) He created a new ways to disprove theories.
(d) He demonstrated that geometry does not have to be based on previous knowledge.
5. What did Dunham consider extraordinary about the Elements?
(a) How geometric proofs were presented.
(b) The content was totally unique.
(c) The content was not based on previous authors' work.
(d) How Hippocrates ordered the book.
Short Answer Questions
1. After Hippocrates, what shape did the Greeks attempt to square without success?
2. What did Euclid do in his 48th proposition?
3. Where did Hippocrates come from?
4. Which of the following was NOT one of Gauss' discoveries?
5. Which words best describe how solid proofs were developed in Elements?
This section contains 316 words
(approx. 2 pages at 300 words per page)