Week 6 Discussion Question Version 8 Week 6 DQ 2 1. Other than those listed in the text‚ how might the Pythagorean theorem be used in everyday life? 2. Provide examples of each. RESPONSE 1. Other than those listed in the text‚ how might the Pythagorean theorem be used in everyday life? Well other than the way its listed in the text the way that the pythagorean theorem can be used any time is when we have a right triangle‚ we know the length of two sides‚ and we want to find
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Amongst the lay public of non-mathematicians and non-scientists‚ trigonometry is known chiefly for its application to measurement problems‚ yet is also often used in ways that are far more subtle‚ such as its place in the theory of music; still other uses are more technical‚ such as in number theory. The mathematical topics of Fourier series and Fourier transforms rely heavily on knowledge of trigonometric functions and find application in a number of areas‚ including statistics. There is an enormous
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2000-1800 BC)[3] 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".[4] Greek mathematics
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There are various arguments on the philosophical position‚ substance dualism. Substance dualism is the postulation that there are two kinds of substances: physical and mental. However‚ in this paper I will be presenting Descartes’ argument from separability‚ derived from the argument essential extension for substance dualism. In addition‚ I will be addressing Arnauld’s triangle objection to Descartes’ “clear and distinct” aspect of the conceivability premise with an example case for clarification
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The most key factor of this theorem is the principle that the when the sum of the two legs of a triangle added up‚ they are equal to the hypotenuse‚ longest side‚ of the right angled triangle. Meaning that whatever the numbers are on the legs of a triangle the sum will always give you the length of the third side of a triangle. In addition‚ to this theorem Pythagoras also discovered that a square is made of two triangles in which lead him to
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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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mathematical. He also believed that geometry is the highest form of mathematics and that the physical world could always be understood through the science of mathematics. Pythagoreans have and will continue to give recognition to Pythagoras for 1) the angles of a triangle equaling to two right angles. 2) The Pythagoras theorem‚ which is a right-angled triangle‚ and the square on the hypotenuse equaling to the sum of the squares on the other two sides. This theory was created and understood years
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Chidambaram Ramanujam | | | Top of FormBottom of Form | | | | | Before we look at the life and work of Chidambaram Padmanabhan Ramanujam we must warn the reader that this article is on Ramanujam‚ NOT Ramanujan the number theorist who worked with G H Hardy (there is only a difference of one letter in their names!). Ramanujam’s father was C S Padmanabhan who was an advocate working in Madras‚ India‚ at the High Court. C P Ramanujam was educated in Madras‚ first at Ewart’s School‚ where
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Equations and their Applications A right triangle is a triangle with a 90 degree angle. These types of triangle can be found all around us and we have a handy formula that describes the relationship between all three sides of right triangles‚ The Pythagorean theorem. This says that for any right triangle that has sides of length a and b‚ and hypotenuse of length c‚ the following equation holds: a2+b2=c2. For your initial response: Complete both parts. a) You’re locked out of your house and the
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compass-and-straightedge construction. Several fundamental theorems about triangles are attributed to Thales‚ including the law of similar triangles (which Thales used famously to calculate the height of the Great Pyramid) and "Thales’ Theorem" itself: the fact that any angle inscribed in a semicircle is a right angle. (The other "theorems" were probably more like well-known "axioms"‚ but Thales proved Thales’ Theorem using two of his other theorems; it is said that Thales then sacrificed an ox to celebrate
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