------------------------------------------------- [edit]The Pythagorean Theorem Pythagoras‚ depicted on a 3rd-century coin In a right triangle: The square of the hypotenuse is equal to the sum of the squares of the other two sides. The Pythagorean theorem is named after the Greek mathematician Pythagoras‚ who by tradition is credited with its discovery and proof‚[1][2] although it is often argued that knowledge of the theorem predates him. There is much evidence that Babylonian mathematicians understood
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triangle‚ however there is no tangible evidence. 3. 624-547 BC- The Thales of Miletus was said to be the person to bring the science of geometry from Egypt to Greece. He created the Thales’ Theorem. 4. 569-475 BC- The next great geometer was Pythagoras. He had created the Pythagorean Theorem that states in a right triangle the sum of sides A and B are equivalent to side C. 5. 400-355 BC- Eudoxus of Cnidus was the one who discovered the Theory of Proportions. Where in there are methods
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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 only
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all the mathematicians of his time‚ his work was the most discussed and argued about. Ptolemy gave the name to the Ptolemy’s Planetary theory. The book is mostly devoted to astronomy and astronomy. Ptolemy’s theorem was a powerful result. With its help we established the Pythagorean Theorem. Combined with the
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Treasure Hunt: Finding the Values of Right Angle Triangles This final weeks course asks us to find a treasure with two pieces of a map. Now this may not be a common use of the Pythagorean Theorem to solve the distances for a right angled triangle but it is a fun exercise to find the values of the right angle triangle. Buried treasure: Ahmed has half of a treasure map‚which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map
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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’s 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 figure
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Bayesian Theory: An Introduction Bayesian theory is increasingly being adopted by the data scientists and analysts across the world. Most of the times the data set available or the information is incomplete. To deal with this realm of inductive logic‚ usage of probability theory becomes essential. As per the new perceptions‚ probability theory today is recognized as a valid principle of logic that is used for drawing inferences related to hypothesis of interest. E.T. Jaynes in the late 20th century
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JTG- Ch.2 Euclid’s Proof of the Pythagorean Theorem Century and a half between Hippocrates and Euclid. Plato esteemed geometry to be the entrance to his Academy. Let no man ignorant of geometry enter here. “Logical scandal” Theorems were believed to be correct as stated but they lacked the material to prove them. Euclid’s Elements was said to become the staple of mathematics or the standard. 13 books‚ 465 propositions (not all Euclid but rather a collection of great mathematicians
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Thevenin’s Theorem 1. What is Thevenin’s theorem? What purpose does it serve? Thevenin’s theorem states that any resistive circuit or network‚ no matter how complex‚ can be represented as a voltage source in series with a source resistance. It is used to simplify the load analysis of series-parallel circuits. 2. What is VTH ? How is it measured? Thevenin voltage. In a series-parallel circuit is the voltage present at the output terminals of the circuit when the load is removed. Even though it
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prior state probabilities‚ we use Bayes’ Theorem. So the posterior probability of the high performance state is P(H│GN) = P(H)P(GN│H) / P(H)P(GN│H) + P(L)P(GN│L) where P(H│GN) is posterior probability of high state given good news F/S P(H) is prior probability of high state P(GN│H) is probability F/S shows good news in high state P(L) is prior probability of low state P(GN│L) is probability F/S shows good news in low state Thus‚ from Bayes’ Theorem‚ we get P(H│GN) = (0.5 x 0.6) / [(0
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