THE WIZARD OF OZ 2 The Wizard of Oz Scarecrow’s Speech on Pythagorean Theorem The Pythagorean theorem is one of the earliest theorems known to ancient civilization. The well-known theorem is named after the Greek mathematician and philosopher‚ Pythagoras. In the Wizard of Oz‚ after the Scarecrow gets a brain‚ he states the Pythagorean theorem. However‚ he mistakenly says it applies to an isosceles triangle when it applies to a right triangle. He not only says the wrong triangle
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Fermat’s last theorem Currently holding the world record for longest standing math problem ever‚ Fermat’s last theorem went unsolved for 365 years. Fermat’s last theorem was one of the largest white whales in the study of math. Over the centuries‚ thousands were puzzled by the impossible problem. From its conception to its solution‚ Fermat’s last theorem was one of the most difficult to solve yet easy to understand problems in mathematics. First‚ I will discuss the theorem and how it was introduced
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Bernoulli’s theorem i Bernoulli’s theorem‚ in fluid dynamics‚ relation among the pressure‚ velocity‚ and elevation in a moving fluid (liquid or gas)‚ the compressibility and viscosity (internal friction) of which are negligible and the flow of which is steady‚ or laminar. First derived (1738) by the Swiss mathematicianDaniel Bernoulli‚ the theorem states‚ in effect‚ that the total mechanical energy of the flowing fluid‚ comprising the energy associated with fluid pressure‚ the gravitational potential
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diagonally or from one tip to the opposite tip‚ we create two surfaces in the shape of triangles. Mathematicians’ related origami to a theorem called the Kawasaki theorem. The Kawasaki theorem states that if we add up the angle measurements of every angle around a point‚ the sum will be 180. It is a theorem giving a decision for an origami construction to be flat. Kawasaki theorem also states that a given crease pattern can be folded to a flat origami if all the sequences of angles ‚ ...‚ are surrounding
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The Pythagorean theorem (A^2 + B^2 = C^2) has been impacting all types of people and careers since it was first realized during Ancient Greece times. It is one of the most widely recognized theorems in the mathematics community‚ and used much more than the average person knows: whether you need need to know the dimensions of a bag or you need find the distance from location to another‚ the Pythagorean theorem can be used. Everyone who was taught this theorem in their first year of algebra continues
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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‚ such as Fermat’s Last Theorem and the theory of Hilbert space. The Pythagorean Theorem asserts that for a right triangle‚ the square of the hypotenuse is equal to the sum of the squares of the other two sides. There are many ways to prove the Pythagorean Theorem. A particularly simple one is the scaling relationship
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CENTRAL LIMIT THEOREM There are many situations in business where populations are distributed normally; however‚ this is not always the case. Some examples of distributions that aren’t normal are incomes in a region that are skewed to one side and if you need to are looking at people’s ages but need to break them down to for men and women. We need a way to look at the frequency distributions of these examples. We can find them by using the Central Limit Theorem. The Central Limit Theorem states that
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In mathematics‚ the Pythagorean Theorem — or Pythagoras’ theorem — is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle). In terms of areas‚ it states: In any right-angled triangle‚ the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle). The theorem can be written as an equation relating the lengths
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4.14 TRIANGLES Triangles are three-sided shapes that lie in one plane. Triangles are a type of polygons. The sum of all the angles in any triangle is 180º. Triangles can be classified according to the size of its angles. Some examples are : Acute Triangles An acute triangle is a triangle whose angles are all acute (i.e. less than 90°). In the acute triangle shown below‚ a‚ b and c are all acute angles. Sample Problem 1: A triangle has angles 46º‚ 63º and 71º. What type of triangle is this? Answer:
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Pythagorean Theorem: Some False Proofs Even smart people make mistakes. Some mistakes are getting published and thus live for posterity to learn from. I ’ll list below some fallacious proofs of the Pythagorean theorem that I came across. Some times the errors are subtle and involve circular reasoning or fact misinterpretation. On occasion‚ a glaring error is committed in logic and leaves one wondering how it could have avoided being noticed by the authors and editors. Proof 1 One such error appears
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