Bibliography: Hall‚ Mandy. Johann Gregor Mendel. Muskingum University‚ Dec. 1999. Web. 25 Feb. 2014. . Morris‚ Stephanie J. "The Pythagorean Theorem." The Pythagorean Theorem. The University of Georgia Department of Mathematics Education‚ n.d. Web. 02 Feb. 2014.
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Euclid organized the known geometrical ideas‚ starting with simple definitions‚ axioms; formed statements called theorems‚ and set forth methods for logical proofs. He began with accepted mathematical truths‚ axioms and postulates‚ and demonstrated logically 467 propositions in plane and solid geometry. One of the proofs was for the theorem of Pythagoras or now known as Pythagorean Theorem‚ proving that the equation is always true for every right triangle. The Elements was the most widely used textbook
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Historical/Cultural Report Famous Mathematician: Pythagoras Introduction: Pythagoras’ Theorem is actively used and is a crucial part of trigonometry in present-day mathematics. Pythagoras‚ living approximately from 570 – 495BC‚ in Greece‚ is believed to have founded the Pythagoras’ Theorem among a cult‚ which Aristotle believed to be the beginning of an advance in Mathematics. In fact‚ there is evidence that the theorem had been discovered and used perhaps a thousand years earlier than Pythagoras by the
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OBJECTIVE The objectives of this experiment are to investigate and verify the Thevenin’s theorem and to investigate and verify the Norton’s theorem. EQUIPMENT Resistor 100Ω‚ 1kΩ and 4.7kΩ‚ digital multimeter(DVM)‚ bread board. INTRODUCTION Some circuits require more than one voltage source. Superposition theorem is a way to determine currents and voltages in a linear circuit that has multiple sources by taking one source at a time. the current in any given branch of a multiple-source linear
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to Algebra Instructor Yvette Gonzalez-Smith August 04‚ 2013 Pythagorean Quadratic The Pythagorean Theorem is an equation that allows a person to find the length of a side of a right triangle‚ as long as the length of the other two sides is known. The theorem basically relates the lengths of three sides of any right triangle. The theorem states that the square of the hypotenuse is the sum of the squares of the legs. It also can help a person to figure out whether or
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25 Network Theorems UNIT 2 NETWORK THEOREMS Structure 2.1 Introduction Objectives 2.2 Networks 2.2.1 Sign Convention 2.2.2 Active and Passive Elements 2.2.3 Unilateral/Bilateral Elements 2.2.4 Lumped and Distributed Networks 2.2.5 Linear and Non-Linear Elements 2.3 Superposition Theorem 2.3.1 Statement 2.3.2 Explanation of the Theorem 2.4 Thevenin’s Theorem 2.5 Norton’s Theorem 2.5.1 Statement 2.5.2 Explanation of the Theorem 2.6 Reciprocity Theorem 2.6.1 Statement and Explanation
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Pythagorean Theorem was termed after Pythagoras‚ who was a well-known Greek philosopher and mathematician‚ and the Pythagorean Theorem is one of the first theorems identified in ancient civilizations. “The Pythagorean theorem says that in any right triangle the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse” (Dugopolski‚ 2012‚ p. 366 para. 8). For this reason‚ many builders from various times throughout history have used this theorem to assure
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1 Gauss’ theorem Chapter 14 Gauss’ theorem We now present the third great theorem of integral vector calculus. It is interesting that Green’s theorem is again the basic starting point. In Chapter 13 we saw how Green’s theorem directly translates to the case of surfaces in R3 and produces Stokes’ theorem. Now we are going to see how a reinterpretation of Green’s theorem leads to Gauss’ theorem for R2 ‚ and then we shall learn from that how to use the proof of Green’s theorem to extend it
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Decision of Uncertainty Paper All decision-making has some level of uncertainly. “Competent researchers and astute managers alike practice thinking habits that reflect sound reasoning—finding correct premises‚ testing the connections between their facts and assumptions‚ making claims based on adequate evidence” (Cooper & Schindler‚ 2006). Data from appropriate investigations can lead to high quality decisions with a lesser amount of uncertainty. Risks in everyday life can be reduced. Our
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MATHS-SA1-TEST1 Q1) Use the following information to answer the next question. The steps for finding the H.C.F. of 2940 and 12348 by Euclid’s division lemma are as follows. 12348 = a × 4 + b a = b × 5 + 0 What are the respective values of a and b? A. 2352 and 588 B. 2940 and 588 C. 2352 and 468 D. 2940 and 468 Answer The steps to find the H.C.F. of 12348 and 2940 are as follows. 12348 = 2940 × 4 + 588 2940 = 588 × 5 + 0 Comparing with the given steps‚ we obtain a =
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