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Postulate States Postulates Line
404 wordsEuclid's most famous work is his treatise on mathematics The Elements. The book was a compilation of knowledge that became the centre of mathematical teaching for 2000 years. Probably no results in The Elements were first proved by Euclid but the organisation of the material and its exposition are certainly due to him. In fact there is ample evidence that Euclid is using earlier textbooks as he writes the Elements since he introduces quite a number of definitions which are never used such as tha...
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Back In Time Second Law Of Thermodynamics
1,746 wordsThroughout the ages, outstanding physicists, to the movies, to some of the greatest science fiction novels of all time, have pondered the idea of time-travel. The thought of actually being able to travel to another time or universe has long since enthralled, enveloped, and overwhelmed some of the greatest minds in the history of physics. No one person can actually prove any of their theories, but a few actually make sense. Meaning that they do not violate the laws of physics. One of the main the...
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A Critical Analysis Of Hobbes Law Justice
1,328 words... A Critical Analysis of Hobbes' Law of Justice Shawn Olson 2509748 10 / 10 / 2004 Introduction to Political Philosophy SW Holman Of Thomas Hobbes' 19 laws of nature, the first three, which add consecutively up to his concept of justice, are by far the most influential and important, with the ultimate goal being an escape from the state of nature. The first law states that we should seek peace, and if we cannot attain it, to use the full force of war. Directly building off of the first law's m...
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Euclidean Geometry Number Theory
704 wordsCarl Friedrich Gauss Carl Friedrich Gauss was a German mathematician and scientist who dominated the mathematical community during and after his lifetime. His outstanding work includes the discovery of the method of least squares, the discovery of non-Euclidean geometry, and important contributions to the theory of numbers. Born in Brunswick, Germany, on April 30, 1777, Johann Friedrich Carl Gauss showed early and unmistakable signs of being an extraordinary youth. As a child prodigy, he was sel...
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Euclidean Geometry Great Deal
1,530 wordsCarl Gauss was a man who is known for making a great deal breakthroughs in the wide variety of his work in both mathematics and physics. He is responsible for immeasurable contributions to the fields of number theory, analysis, differential geometry, geodesy, magnetism, astronomy, and optics, as well as many more. The concepts that he himself created have had an immense influence in many areas of the mathematic and scientific world. Carl Gauss was born Johann Carl Friedrich Gauss, on the thirtie...
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Natural Fractal Or Fractal Dimension Fractal Or Fractal Dimension Fractals
430 wordsJustin Cook Fractals Cook 1 Fractals are a modern mathematical theory that radically departs from traditionally Euclidean geometry, fractal geometry describes objects that are self-similar, or scale symmetric. This means that when such objects are magnified, their parts are seen to bear an exact resemblance to the whole, the likeness continuing with the parts of the parts and so on and so on to infinity. Fractals, as these shapes are called, must also be devoid of translational symmetry. Instead...
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Fractal Geometry Fractal Geometry Fractal Geometry Fractal Fractals
583 wordsFractal Fractal Geometry Fractal Geometry Fractal geometry is a branch of mathematics having to do with fractals. Fractals are geometric figures, just like rectangles, circles and squares, but fractals have special properties that those figures do not have. In geometry two figures are similar if their corresponding angles are congruent in measure. Fractals are self-similar meaning that at every level the fractal image repeats itself. An example of self-similarity would be a triangle made up of t...
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Funk 038 Wagnalls Euclidean Geometry
1,790 wordsGeometry Geometry Differences in Geometry Geometry is the branch of mathematics that deals with the properties of space. Geometry is classified between two separate branches, Euclidean and Non-Euclidean Geometry. Being based off different postulates, theorems, and proofs, Euclidean Geometry deals mostly with two-dimensional figures, while Demonstrative, Analytic, Descriptive, Conic, Spherical, Hyperbolic, are Non-Euclidean, dealing with figures containing more than two-dimensions. The main diffe...
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J Nos Bolyai Royal Engineering College Work
582 wordsJ nos Bolyai Back in 19 th century, two extremely intelligent mathematicians, the Hungarian J nos Bolyai and the Russian Nicolai Lobechevsky, showed that one could throw out Euclid s parallel postulate and come up with a weird yet consistent form of geometry. J nos Bolyai was a great man that helped further the exploration of geometry and math. J nos was born on December 15, 1802 in Kolozsv r, Hungary. This place is now referred to as Cluj, Romania. His father was known as Farkas Bolyai. J nos w...
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Washington D C Major Part
1,092 wordsMath and many of its aspects are a major part of everyday life. We spend the majority of our school years studying and learning the concepts of it. Many times, the question of? why do we need to know these things? ? has been asked. The following report will explain the history and purpose of geometry in our lives. ? Geometry? means? measure of the earth? . In ancient Egypt, the Nile would flood its banks each year, flooding the land and destroying the farm areas. When the waters receded and the ...
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Number Of Times Euclidean Geometry
2,376 wordsChaos Theory and Fractal Phenomena Chaos theory is the qualitative study of unstable aperiodic behavior in deterministic nonlinear systems. To understand the definition of chaos can be understood if broken down: A dynamical system may be defined to be a simplified model of the time-varying behavior of an actual system and an aperiodic behavior is the behavior that occurs when no variable describing the state of the system undergoes a regular repetition of values. An aperiodic behavior will never...
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