they would get two major groups. Both groups are very long. One is called "The history of formal deduction" and it goes all the way back to Aristotle and Euclid and other people who lived at that time. The other is "the history of mathematical analysis" which goes back to the times of Archimedes‚ who was in the same era as Aristotle and Euclid. These to groups or streams were separate for a long time until Newton invented Calculus‚ which brought Math and logic together. Somebody who studies mathematical
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Elliptic geometry‚ on the other hand‚ involves the new topological notion of "nonorientability‚" since all the points of the elliptic plane not on a given line lie on the same side of that line. This geometry cannot easily be approached in the spirit of Euclid. I have therefore made only brief comments about elliptic geometry in the body of the text‚ with further indications in Appendix A. (Do not be misled by this‚ however; elliptic geometry is no less important than hyperbolic.) Riemannian geometry requires
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Ancient Greek Contributions Many of the roots in the Western civilization can be traced back to ancient Greece. They created long lasting contributions in the making of the Western development with their literature‚ drama‚ mathematics‚ philosophy‚ politics‚ and science. The ancient Greek contributions started from 1900 B.C. to 300 B.C.‚ but still have an impact on Western society today. As the Greeks expanded‚ they spread their ideas to other countries‚ while also receiving ideas from them
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One person who has been very influential in my life is Ms. Toni Gallow. Ms. Gallow is my former physical science teacher. She has inspired me so much. Not only did she teach me regularly in class‚ she taught me a lot about life. Ms. Gallow was very caring‚ unlike most teachers at Buckeye Trail. Ms. Gallow always encouraged her students to be the best they could be. One reason Ms. Gallow has been so influential in my life is because she taught me to never underestimate myself. She would always help
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A and B are equivalent to side C. 5. 400-355 BC- Eudoxus of Cnidus was the one who discovered the Theory of Proportions. Where in there are methods to find the area and volumes of figures with curves and many other things. 6. 382-283 BC- Euclid of Alexandra who is also known as “The father of Geometry” created a book called “The elements”. This book was the main textbook to teach math (mainly geometry). 7. 287-212 BC- Archimedes of Syracuse was the inventor of many mechanical devices
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Detroit: Gale‚ 2003. Student Resource Center - Gold. Gale. LNOCA EUCLID HIGH SCHOOL. 29 Apr. 2010 . "Berlin Wall Is Built‚ August 13‚ 1961." DISCovering World History. Online ed. Detroit: Gale‚ 2003. Student Resource Center - Gold. Gale. LNOCA EUCLID HIGH SCHOOL. 29 Apr. 2010 . "Berlin Wall." Gale Encyclopedia of U.S. History: War. Ed. Anne Marie Hacht and Dwayne D. Hayes. Detroit: Gale‚ 2008. Student Resource Center - Gold. Gale. LNOCA EUCLID HIGH SCHOOL. 29 Apr. 2010 . “Berlin Wall History.” Ushouldvisit
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architecture‚ and math and science. The Greeks were a remarkable civilization and contributed things people use in every day life then‚ and currently. Some very important people of Ancient Greece include Socrates‚ Aristotle‚ Pericles’‚ Hippocrates‚ Euclid‚ Sophocles‚ Plato and Galen. All of these people shaped western civilizations‚ while Greece was in two wars at the time. They pushed through hardships and still created innovations that contributed to the western civilization. In the area of Philosophy
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position of figures‚ and the properties of space. Geometry is one of the oldest mathematical sciences. Initially a body of practical knowledge concerning lengths‚ areas‚ and volumes‚ in the 3rd century BC geometry was put into an axiomatic form by Euclid‚ whose treatment—Euclidean geometry—set a standard for many centuries to follow. Archimedes developed ingenious techniques for calculating areas and volumes‚ in many ways anticipating modern integral calculus. The field of astronomy‚ especially mapping
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first beginning to be interested in mathematics‚ this is when Pythagoras first came up with is the theorem. During the classical period a man by the name of Euclid‚ wrote a book titled The Elements‚ this book was a textbook to help people understand the basics of geometry‚ and it included geometric methods for the solution of quadratics (Euclid). During the helenistic period ancient algebra began to resurface. But none of these mathematical discoveries would have been possible without
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There were many contributions to western civilization from the Ancient Greeks. Many roots of the civilization we have today can be traced back to the Ancient Greeks. They made long lasting contributions in the areas of art‚ architecture‚ philosophy‚ math‚ drama‚ and science. If the intelligent thinkers of the Ancient Greeks such as‚ Socrates‚ Aristotle‚and Hippocrates never challenged the way Greeks lived many of the ideas we have today would have never been established. The Greeks made contributions
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