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Free research essays on topics related to: theorem

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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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  • Thales Of Miletus A Brief History
    851 words
    The first thing I would like to say before I start this paper on Thales is that when dealing with ancient Greek mathemetitions, any "facts" you may uncover are really just educated guesses. The reason for this is, because all records back then were kept on cuneiform tablets. These tablets just did not hold up well over time, and were destroyed before anyone could really make a lasting, permanent record of his life and studies. (2) With this being said, let me share with you some of my findings o...
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  • Differential Equations Johann Bernoulli
    2,228 words
    ... see the general scheme of the works with them, and they developed his ideas, calculating tables, and sometimes compiled examples. For example Euler credits Albrecht, Krafft and Lexell for their help with his 775 page work on the motion of the moon, published in 1772. Fuss helped Euler prepare over 250 articles for publication over a period on about seven years in which he acted as Euler's assistant, including an important work on insurance which was published in 1776. Yushkevich describes th...
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  • Presidential Candidate Vice Presidential
    1,115 words
    A Unavoidable Reality Leaving No One Truly Satisfied On the spectrum of politics (or any other ideologically-based matter), personal opinions will inevitably vary from one extreme on the left to the opposite on the right. In a governing system such as that of the United States, where the population directly elects representatives to govern, the position a candidate holds on the spectrum pertaining to certain issues in relation to other candidates becomes increasingly important. Theoretically, tw...
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  • Anti Social Behavior Formal System Of Arithmetic Good
    684 words
    Virtue Ethics by Aristotle can be truly considered as a true family of views. The virtue theory itself deals with the ideals supported by the ethical theorists of the ancient Greece who where ethical egoists. The main idea was that one should try to do the right things because it lies in his own interest. It has several reasons. First, they believed in afterlife and thought that there a person should have much better life than on the earth. Second, they believed that being good is good, meaning ...
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  • 000 Per Year Allocation Of Resources
    1,600 words
    Running head: THE COASE THEOREM WITHIN THE CONTEXT OF TRANSACTION COSTS AND EXTERNALITIES The Coase Theorem within the Context of Transaction Costs and Externalities April 01, 2009 The Coase Theorem within the Context of Transaction Costs and Externalities Introduction The Coase Theorem first emerged from an argument in The Problem of Social Cost, written by Ronald Coase. Nowadays, this theorem has become a subject of heated debates, becoming a centerpiece of economic movement and modern law. Th...
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  • 000 Per Year Transaction Costs
    1,618 words
    ... the lowest cost avoider will be the part able to reduce damages or the risks of damages at a lowest cost (Brealey & Myers, 1996). As the assumption is that both parties involved in situation can undertake specific actions to prevent damages, it becomes obvious that a Pigou tax could result in significantly worse outcome. For example, it can be assumed that the steel maker is taxed $ 250, 000 per year for the use of his current inefficient steel production methods. In this case, if the steel ...
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  • Straight Lines Great Impact
    2,004 words
    Euclid'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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  • Chinese Remainder Theorem 70 3 21 2 15 Mod
    551 words
    CHINESE REMAINDER THEOREM WHAT IS IT? Mathematics plays an important role in our world, as we know it. It is used everyday to solve all kinds of complex problems enabling us to create a better place for everyone to live in. One particular aspect of Mathematics known as the Chinese Remainder Theorem has a very interesting background. The Chinese Remainder Theorem was believed to have been created around 3 rd Century AD by Sun Tzu Suan Ching and is the earliest recorded congruence problems in Chin...
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  • Honor Of His Discovery Trigonometry Trigonometry Theorem
    540 words
    Trigonometry uses the Trigonometry Trigonometry Trigonometry uses the fact that ratios of pairs of sides of triangles are functions of the angles. The basis for mensuration of triangles is the right- angled triangle. The term trigonometry means literally the measurement of triangles. Trigonometry is a branch of mathematics that developed from simple measurements. A theorem is the most important result in all of elementary mathematics. It was the motivation for a wealth of advanced mathematics, s...
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  • Sir Isaac Newton F X
    1,937 words
    Calculus is a powerful field of mathematics. Through the years, Calculus has been used to figure out extremely complicated and time-consuming problems in the fields of Physics and Engineering. The field of Calculus is divided into two major groups. The two groups are Differential Calculus and Integral Calculus. In Differential Calculus, the function is presented and the derivative or rate of change must be computed, while in Integral Calculus the derivative is given and the function must be comp...
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  • Number Theory Pierre De
    2,128 words
    While Descartes was laying the foundations of analytical geometry, the same subject was occupying the attention of another and not less distinguished Frenchman. This was Pierre de Fermat, who was born near Montauban in 1601, and died at Castres on January 12, 1665. Fermat was the son of a leather-merchant, growing up being educated at home. He earned himself a name later in his life by making contacts with some of the most important people in mathematics during that time period. In this paper I ...
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  • 19 Th Century 17 Th Century
    4,866 words
    Mathematics, study of relationships among quantities, magnitudes, and properties and of logical operations by which unknown quantities, magnitudes, and properties may be deduced. In the past, mathematics was regarded as the science of quantity, whether of magnitudes, as in geometry, or of numbers, as in arithmetic, or of the generalization of these two fields, as in algebra. Toward the middle of the 19 th century, however, mathematics came to be regarded increasingly as the science of relations,...
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  • Pythagorean Theorem World Book
    269 words
    In 580 B. C. there lived a man who is know for creating one the best known theorems ever. His name was Pythagoras and the theorem, the Pythagorean Theorem. This Theorem states that the sum of the squares of the two legs of a right triangle equals the hypotenuse squared. This theorem as you can see can be very useful for finding the lengths of a right triangle. Now over the last two millennium there have been many proofs for this theorem, in fact hundreds. One of the most the famous proofs of the...
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  • Southern Italy 20 Years
    3,095 words
    Pythagoras of Samos is often described as the first pure mathematician. He is an extremely important figure in the development of mathematics yet we know relatively little about his mathematical achievements. Unlike many later Greek mathematicians, where at least we have some of the books which they wrote, we have nothing of Pythagoras writings. The society which he led, half religious and half scientific, followed a code of secrecy which certainly means that today Pythagoras is a mysterious fig...
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  • Three Years B C
    458 words
    Pythagoras was a Greek philosopher that was responsible for some developments in mathematics. He was born around 560 B. C. and died around 480 B. C. He was originally from the city of Samos, Ionia (Later day Italy), but moved away from his home to escape the tyranny of Polycrates. Ionia was an area around the Mediterranean Sea and Samos was an island inside that area. From Samos he moved to the city of Croton. In Croton he established a school. The school was a philosophical and religious school...
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  • Units Posses Magnitude Things Were Composed Pythagoras
    532 words
    Pythagorean Theorem The Greek philosopher Pythagoras of Samos is responsible of great advances in the study of astronomy, mathematics and the theory of music. A tyrant ruled Samos at the time and Pythagoras fled to southern Italy at about 532 BC. In Croton, Pythagoras founded a religious school that also specialized in philosophy. Pythagoras school made outstanding advances and contributions to the study of mathematics. His school was very private and secretive which made it hard for researchers...
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