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Opposite Sides One Side
1,501 words... triangle, then the triangles are congruent. A line and a plane are perpendicular if and only if they intersect and the line is perpendicular to all lines in the plane that pass through the point of intersection. CPCTC - Corresponding parts of congruent triangles are congruent. Recall that an isosceles triangle has two congruent sides. These congruent sides are called are called legs and the third side is called the base. The angles at the base are called base angles and the angle opposite th...
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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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Miles Per Hour Speed Of Light
1,938 wordsThe Rise of Einsteinian Special Relativity In 1905, Einsteins Theory of Special Relativity was proposed. The reason that it is so special is because it was part of the more complex and extensive Theory of General Relativity, which was published in 1915. His theory reshaped the world of physics when it contradicted all previous laws of motion erected by Galileo and Newton. By mathematically manipulating these previous laws of motion, physicists in the nineteenth century were able to explain such ...
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Straight Lines Great Impact
2,004 wordsEuclid's Elements Introduction to the works of Euclid and Euclid's Life Euclid's name is often associated with geometry. Euclid's Elements is one of the most influential and important scientific works in the history of mathematics. This work had served as the fundamental basics for the vast majority of geometrical teachings for the past 20 centuries. Euclid has made great impact on mathematics and set the standard for logical structure for works in the field of geometry. Unfortunately, there is ...
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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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Miles Per Hour Speed Of Light
1,955 wordsThe Rise of Einsteinian Special Relativity In 1905, Einstein? s Theory of Special Relativity was proposed. The reason that it is so? special? is because it was part of the more complex and extensive Theory of General Relativity, which was published in 1915. His theory reshaped the world of physics when it contradicted all previous laws of motion erected by Galileo and Newton. By mathematically manipulating these previous laws of motion, physicists in the nineteenth century were able to explain s...
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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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Division Of Labor Mans Nature
509 wordsMans Place in a Labor-Driven Society In his book The Wealth of Nations, Adam Smith introduces a theory which attempts to figure out the definition of labor and its place in society. His concept of labor is divided into three main postulates. His first postulate states that basically, mans wants are unlimited. His second postulate states that mans goal is to make his labor more efficient. Finally, his third postulate states that this efficiency / division of labor results in a wealthy society. It...
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Quantum Mechanics Truth Value
1,497 wordsThe debate between realism and anti-realism is, at least, a century old. Does Science describe the real world? or are its theories true only within a certain conceptual framework? Is science only instrumental or empirically adequate or is there more to it than that? Jose Ortega y Glasses said (in an unrelated exchange) that all ideas stem from pre-rational beliefs. William James concurred by saying that accepting a truth often requires an act of will which goes beyond facts and into the realm of...
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