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OK, let us see Pythagores in Action..
__________________________________________________ ____ Pythagores Theorem: In a right angled triangle, the square of hypotenuse is equal to the sum of the squares of the other two sides. c^2 = a^2 + b^2 __________________________________________________ ____ Now draw X, Y axis on paper. We refer origin as "B" instead of conventional "O". Line AC of length c is on X axis and initially point C of line AC coincides with origin B. Let us move or slide line AC along X axis by distance d(where dc) in such a way that point C of this line AC slides along Y axis in vertical direction. Now, we have a right angle traingle ABC. In this triangle AC = c, AB = a = c-d, BC = b According to Pyathagores theorem, in this right angle triangle c^2 = a^2 + b^2 We replace "a" by "c-d" as AB = a = c-d Hence c^2 = (c-d)^2 + b^2 c^2 = c^2-2cd+d^2 + b^2 We get, b^2 = 2cd-d^2 ****************** b = sqrt[d(2c-d)] ****************** This is the basic equation which controls this action device. Please note that when, initially, we move line AC along X axis by very small distance d, point C slides along Y axis and BC = b d Please tell me whether you have understood this or not. Thanks. -Abhi. |
#2
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Abhi wrote:
OK, let us see Pythagores in Action.. __________________________________________________ ____ Pythagores Theorem: In a right angled triangle, the square of hypotenuse is equal to the sum of the squares of the other two sides. c^2 = a^2 + b^2 __________________________________________________ ____ [snip] You would be more credible if you started by spelling his name correctly. The Pythagoran theorem is trivial special case of the general triangle theorem. Look it up to learn why the right angle is so convenient. -- Uncle Al http://www.mazepath.com/uncleal/ (Toxic URL! Unsafe for children and most mammals) "Quis custodiet ipsos custodes?" The Net! |
#3
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Abhi wrote:
OK, let us see Pythagores in Action.. __________________________________________________ ____ Pythagores Theorem: In a right angled triangle, the square of hypotenuse is equal to the sum of the squares of the other two sides. c^2 = a^2 + b^2 __________________________________________________ ____ Now draw X, Y axis on paper. We refer origin as "B" instead of conventional "O". Line AC of length c is on X axis and initially point C of line AC coincides with origin B. Let us move or slide line AC along X axis by distance d(where dc) in such a way that point C of this line AC slides along Y axis in vertical direction. Now, we have a right angle traingle ABC. In this triangle AC = c, AB = a = c-d, BC = b According to Pyathagores theorem, in this right angle triangle c^2 = a^2 + b^2 We replace "a" by "c-d" as AB = a = c-d Hence c^2 = (c-d)^2 + b^2 c^2 = c^2-2cd+d^2 + b^2 We get, b^2 = 2cd-d^2 ****************** b = sqrt[d(2c-d)] ****************** This is the basic equation which controls this action device. Please note that when, initially, we move line AC along X axis by very small distance d, point C slides along Y axis and BC = b d Please tell me whether you have understood this or not. Thanks. -Abhi. Understood, yes. What's the point? This tells us nothing about the mysterious Action Device. -- Will Twentyman email: wtwentyman at copper dot net |
#4
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![]() "Abhi" wrote in message m... OK, let us see Pythagores in Action.. __________________________________________________ ____ Pythagores Theorem: In a right angled triangle, the square of hypotenuse is equal to the sum of the squares of the other two sides. c^2 = a^2 + b^2 __________________________________________________ ____ I understood it. I'm just not sure what it's good for. And by the way, Al, did you ever think that perhaps Abhi's language might be French, for instance? As in "biographie de Pythagore - tout est nombre, philosophie, mathématique, musique, conception du monde |
#5
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Francis Harrington wrote:
And by the way, Al, did you ever think that perhaps Abhi's language might be French, for instance? Abhi speaks fluent crackpot. -- Pyriform |
#6
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![]() "Pyriform" wrote in message .. . Francis Harrington wrote: And by the way, Al, did you ever think that perhaps Abhi's language might be French, for instance? Abhi speaks fluent crackpot. Then where should you be placed on a list if you admit to understanding Crackpoteze..... For if you did not understand it you could not realize he was fluent in it..... -- Pyriform Paul R. Mays ---------------------------------------------------------------------------- - Some where within the Quantum State Http://Paul.Mays.Com/story.html http://paul.mays.com/mayday.html http://paul.mays.com/rainy.html "Science is facts. Just as houses are made of stones, so is science made of facts. But a pile of stones is not a house and a collection of facts is not necessarily science." - Jules Henri Poincare (1854~1912) |
#7
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Paul R. Mays wrote:
"Pyriform" wrote in message Abhi speaks fluent crackpot. Then where should you be placed on a list if you admit to understanding Crackpoteze..... For if you did not understand it you could not realize he was fluent in it..... Not so. I know enough French and German to recognise fluency in others, even though I am not fluent myself. Same with Crackpot. -- Pyriform |
#9
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Uncle Al wrote in message ...
Abhi wrote: OK, let us see Pythagores in Action.. __________________________________________________ ____ Pythagores Theorem: In a right angled triangle, the square of hypotenuse is equal to the sum of the squares of the other two sides. c^2 = a^2 + b^2 __________________________________________________ ____ [snip] You would be more credible if you started by spelling his name correctly. The Pythagoran theorem is trivial special case of the general triangle theorem. Look it up to learn why the right angle is so convenient. If I spell your name as Yncal Al, will it change your persona, actions, understanding of Geometry and Physics... I am trying to explain step by step Geometry, Newtonian Mechanics of this action device. Please, Uncle Al, concentrate on "meaning", not on words. I don't have much time left. -Abhi. |
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