2000-1800 BC) and the Moscow Mathematical Papyrus (Egyptian mathematics c. 1890 BC). All of these texts concern the so-called Pythagorean theorem‚ which seems to be the most ancient and widespread mathematical development after basic arithmetic and geometry. The study of mathematics as a subject in its own right begins in the 6th century BC with the Pythagoreans‚ who coined the term "mathematics" from the ancient Greek μάθημα (mathema)‚ meaning "subject of instruction". Greek mathematics
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moral principles. While both these studies are so readily used today‚ when comparing them it is essential in understanding at the same time the disparity between the two subjects. The principles of mathematics are built from a mélange of axioms‚ theorems and conjectures‚ where there is always a systematic method of arriving at any answer. Ethical problems are subject more to the individualistic way in which one proceeds to analyze the problem. In both however‚ there is the underlying similarity of
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Running Head: History of Trigonometry History of Trigonometry Rome Fiedler History of Mathematics 501 University of Akron April 29‚ 2012 History of Trigonometry: An Introduction Trigonometry is useful in our world. By exploring where these concepts come from provides an understanding in putting this mathematics to use. The term Trigonometry comes from the Greek word trigon‚ meaning triangle and the Greek word meatria meaning measurement. However it
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Mesopotamia‚ we introduce the concept of reciprocal‚ plus solutions to different logarithmic problems‚ progress was such that it created algorithms for calculating sums of progressions. In geometry‚ it is believed that they knew the Pythagorean Theorem‚ though not as a general theorem. With no doubt‚ China played a big role in mathematical progress. However‚ it was in Greece‚
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1.INTRODUCTION: The mathematician Diophantus of Alexandria around 250A.D. started some kind of research on some equations involving more than one variables which would take only integer values.These equations are famously known as “DIOPHANTINE EQUATION”‚named due to Diophantus.The simplest type of Diophantine equations that we shall consider is the Linear Diophantine equations in two variables: ax+by=c‚ where a‚b‚c are integers and a‚b are not both zero. We also have many kinds of Diophantine
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Introduction The gummy bear project was to provide us with a chance to practice the statistics experimental design‚ through measuring how far the gummy bears fly from a catapult in centimeters. This catapult contains 3 different stages from which to launch gummy bears at different angles: front‚ middle‚ and back‚ as well as two different positions upon the catapult at either the front or back. Then‚ based upon each configuration‚ we launched the gummy bears 5 times‚ for a total of 2x3x5‚ 30 treatments
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Time Frame | Objectives | Topics/ Content | Concept/s | Competencies | Teaching Strategy | Values | List of Activities | Materials | Evaluation | References | First Quarter | -Define functions and give examples that depict functions-Differentiate a function and a relation-Express functional relationship in terms of symbols y=f(x)-Evaluate a function using the value of x. | Chapter 1Functions and GraphsFunctions and Function Notations | The equation y=f(x) is commonly used to denote functional relationship
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religion known as Pythagoreanism. His beliefs were structured on the complex ideas of esoteric faith and metaphysics. Although Pythagoras did not keep written documentation of his teachings‚ his followers recorded lessons and work in his name. The Pythagorean ideas were introduced to Western philosophy by Plato as he was greatly motivated by the work of the first‚ self- proclaimed philosopher. According to "The Basics of Philosophy" (2008)‚ Pythagoras was the first “pure mathematician” and known as
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drawing. It is a simple and direct way of getting the resultant force but is limited in precision. Component method can obtain the resultant force by getting two directions at right angles to each other and getting their summations using the Pythagorean Theorem. In getting the equilibrant of the given forces‚ a force table can be used (see Fig. 1.1). The equilibrant of a set of forces is the single force that must be obtained with the set of forces to maintain in the system in equilibrium. Figure
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other areas Hippasus Hippasus is credited with the discovery of irrational numbers. The Pythagoreans were a strict society and all discoveries that happened had to be directly credited to them‚ not the individual responsible for the discovery. The Pythagoreans were very secretive and did not want their discoveries to get out. They all took oaths to ensure that their discoveries remained with the Pythagorean society. They considered whole numbers to be their rulers and that all quantities could be
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