סידרת פיבונאצ'י

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סידרת פיבונאצ'י. חלק א' - המתמטי. האם אלהים למד מתמטיקה אצל פיבונאצ'י ??. ( C ). אין לשנות, להוסיף או למחוק כל פרט במצגת זו. מעשה כזה ייחשב כעבירה על חוק זכויות יוצרים. ניתוח. [email protected]. www.geology-israel.co.il. לפני כ 15 שנים ערכתי תערוכה בשם: "האם אלהים למד מתמטיקה - PowerPoint PPT Presentation

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  • www.geology-israel.co.il [email protected]

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    : , ............ 1.6180339887498 , ...........0.6180339887498

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  • 1/1=1, 2/1=2, 3/2=1.5, 5/3=1.6666, 8/5=1.6, 13/8=1.625

    21/13=1.6153, 34/21=1.6190, 55/34=1.61764, 89/55=1.61818

    144/89=1.617977, 233/144=1.618055, ..........1.618033988 : :

    1/1=1, 1/2=0.5, 2/3=0.6666, 3/5=0.6, 5/8=0.625, 8/13=0.6153

    13/21=0.61904, 21/34=0.61764, 34/55=0.61818, 55/89=0.61797

    89/144=0.61805, 144/233=0.618025, ..........0.618033988 '

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    32, 67, 99, 166, 265, 431 ,696, 1127, 1823, 2950, 4773, 7723 7723 4773 .......... 1.6180599 2 :17, 87, 104, 191, 295, 486, 781, 1267, 2048, 3315, 5363 5363 3315 ........... 1.6177978

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    = 1= 1.618033989= 2.618033989= 4.236067977= 6.854101966= 11.09016994= 17.94427191= 29.03444185= 46.97871376= 76.01315562= 122.9918694 ===0

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    ) 3:1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597,2584,4181,6765,10946,17711,28657,63684,75025,121393

    ) 5:1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597,2584,41816765,10946,17711,28657,46368,75025,121393,196418

    ) 8:1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597,2584,41816765,10946,17711,28657,46368,75025,121393,196418

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  • ' 2 . . - 2 (A)2 - 3 (B)3 - 5 (C)4 8 (D) 13 ABCD' '....

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    Fi=1.6180339887498948482. ' =Fi , ' '.Fi =AB/AH = AH/HJ = HJ/HP = HP/PL

  • ( ) 1 = 2XB(A+B) 2 =A(A+2B) : A = 2 , B = 3 1 = 2X3(2+3) = 6X5 = 30 2 = 2(2+(2X3)) = 2X8 = 16 = 1 + 2 = 900+256 = 1156 , = 34

  • ' " , ' = (13) ' . (: 13X21) := 34X55

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  • ???5X13= 65=64 . !!! ??

  • ?? .125X13 = 658X8 = 64 ' ??

  • . , 36 . 72 .. (AB) = 1, BC " " BC (X) = 0.61803398.
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