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Thread: Pai, History remind this!!

  1. #1 Pai, History remind this!! 
    Forum Freshman Silex7's Avatar
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    hi all,..
    well it's a little bet exciting to know maths history (some think it's boring)
    i actully found this Introduction in my Geometry course book before getting into the main subject" the circle"
    well here is the intro of counting Pai which reflects the high knowledgable Muslims old age scientist were! but dunnt be bored (considered it as a before-sleeping story )
    *****
    ...Maths scientists in the old ages of maths , started to study carefully in order to get the extreme value of Pai for an unlimited interests in counting the astronomical, mathmaticals and geometrical equations. As example we know from one of the Papyrus (old paper) of Ahmos(one of the old ancient Egyptians) , that Ancient Egyptians considered the area of a Circle its radius equal (d) merely equal the area of a square its side length equal (8/9d) which gives an significant value of Pai = 3.1605 .For the
    Papelions (old Iraqian nation) they considered the area of a circle its rad, equal r is equal to the area of 3 identical squars the length of each side = r
    which gave an significant no. of pai about 3 .
    Then Archmides(not sure of spelling) came and reached to what faces the following relation:
    3 10/71 d < circumference of a circle (radius=r) <3 1/7 d
    which gives limited region for Pai as
    223/71< pai < 22/7
    Then the golden Islamic Arabian Civilization came and Astronomy science has developed and science of counting triangulars has discovered and it been a MUST to know the most accurate value of Pai, till we reach to ~* Al Kashi*~ the muslim arabian maths scientist who gave the best accurate value of pai progressed and excellented those who were in the past and also progressed and exceled who came after him for two century!!, and developing new methods in the numberical submission(counting) reflects a highly an extreme excel mathematicalyl skills of him
    , we found him in his writes which called " the circumferenc's Message" reached that;

    2 pai = 6; 16,59,28;1,34,51,46,14,50
    then he convert the divideds to numbers as;

    pai= 3.14159265358979325
    then he became the first one to give the most accurate significant value of the pai to a 16 significant true numbers!!!!!
    *******
    the end,..
    deep sorry for any grammer error , because the article wrote in arabic and i translated to english , so am not very professional in translating..
    hope u enjoy it


    "Nothing can be accepted in this world, if it did not pass the mathematical proof."

    Leonardo Da Vinci
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  3. #2  
    Forum Sophomore NimaRahnemoon's Avatar
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    Good Stuff!

    There is also this other way I learned of deriving pi, kind of old way too...

    (2/pi) = sqrt(.5) * sqrt[.5+(.5sqrt(.5))]* sqrt[.5+.5sqrt[.5+.5sqrt(.5)]]....

    complicated, but if you write it down in terms of fractions it might be a little easier to comprehend.


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  4. #3  
    Forum Freshman Silex7's Avatar
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    nice way Nima , i will write ithat down when i go home,.coz am n cyber cafe now,..
    thanks for this eq, ill show it to my prof,..
    thx heavely,
    silex7
    "Nothing can be accepted in this world, if it did not pass the mathematical proof."

    Leonardo Da Vinci
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