Choose one question and write your answer in the text book…
Choose one question and write your answer in the text book provided Please note; A “yes or no” for some of the sub-questions is not enough, of course. You need to provide examples and context in order to earn full credit 1. Where and when did Ptolemy live? Did he believe that the sun was at the center of the universe? Was his work on the orbits of the planets well regarded and studied after his death? How did Ptolemy measure the chords and the angles on a circle? State Ptolemy’s theorem using a picture to illustrate it. 2. Zeno and Pythagoras were both philosophers in ancient Greece. Where and when did they live? What are the most important points of their philosophical belief, and how do they compare? In your opinion, what it the main contribution that Pythagoras and his followers gave to mathematics? Use examples to explain why Zeno’s paradox created a “fear of infinity” that permeated mathematics for centuries? 3. What is a “non-Euclidean model” of geometry? How are “parallel lines’’ defined or behave in such a model? When were non-Euclidean models introduced, and by whom? Do these models contradict Euclidean geometry?Explain the difference between a Euclidean model and a non-Euclidean one, using pictures to illustrate your explanation.