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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 nonEuclidean 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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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 selfsimilar meaning that at every level the fractal image repeats itself. An example of selfsimilarity 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 NonEuclidean Geometry. Being based off different postulates, theorems, and proofs, Euclidean Geometry deals mostly with twodimensional figures, while Demonstrative, Analytic, Descriptive, Conic, Spherical, Hyperbolic, are NonEuclidean, dealing with figures containing more than twodimensions. 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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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 timevarying 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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