The Golden Ratio - PowerPoint PPT Presentation

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Title:

The Golden Ratio

Description:

Title: The Golden Ratio a Masonic Number Author: Michael Yule Last modified by: d Created Date: 5/28/2001 10:46:05 PM Document presentation format – PowerPoint PPT presentation

Number of Views:193
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Slides: 26
Provided by: Michael3103
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Tags: golden | number | ratio

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Transcript and Presenter's Notes

Title: The Golden Ratio


1
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2
?? ?? ?????? ??????? ?? ?????? ????????
  • ?????? ??????? ?? ?????? ??????? ???? ??? ??????
    ???????? F (???)? ??? ????? ?? ??? ???????
    ??????? ?? ????????.
  • F ???? ????? ?? ??????? ???? ???? ?????? ??????
    ????? ?????? ??? ???????? ????? ?????? ???? ??
    ???? ??????? ?????.

3
????? ???? ??????? ??????? ?? ?????? ???????
  • ?????????? ?????? ??? ????????? ????? ?? ??????
    ?? ?????? ????? ???? ?? ????????? ?????? ????????
    ?? ??? ?????? ???? ???? ???????? ???? ??????
    ??????? ??? ??? ????? ????? ?????? ??????? ?????
    ???? ?????.

4
?????? ???????
  • ?????? ??????? ??? ?????? ?????? ??? ?????
    ??????? ?????? ???????? ??????? ??????? ??????
    ???????.
  • ?? ??? ???? ??? ?????? ????? ??????? ????? 21
    ???? ????? ????? ????? ??? ????? ?????.
  • ????? ?????? ????? ????? ?? 3/1 ??? ?????
    ????? ????? ?????? ????? ????? ?? 3/2 ?? ???
    ?????.
  • ?????? ??? ????? ?????? ????? ?????? ?? 12?
    ??????? ??? ????? ?????? ???? ????? ??? ?? 23

5
???? ?? ??? ??? ?? ?????? ????????
  • ?????? ??????? ?? ???? ???? ???? ??? ?????? ???
    ????? ?????? ????? ?????? ?? ??? ?????? ??? ?????
    ?????? ????? ?????.

ab bc
6
?????? ??????? ?? ??? ???????
7
(No Transcript)
8
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9
(No Transcript)
10
??? ?? ?? ??? ???????
  • ?????? ??????? ?? ??? ?? ????? ??????.
  • F 1.618033 or (1?5)/2
  • ?????? ??????? ?? ??? ??? ????.

11
???????? ?????? ???????? ?????? ?? ???????? ????
???? ?? ?????? ??? ???? ????? ????? ??????
???????.
12
?????? ??????? ?? ??????
  • ?????? ??????? ???????? ?????????? ?????? ??
    ??????? ???? ????? ?????? ???????? ????????? ??
    ?????? ???????? ???? ??? ?????? ??????? ????
    ?????? ?????.
  • ???? ???????? ???????? ??? ???? ????????? ?????
    ???? ??? ?? ??? ???? ??? ???? ??????? ???? ??
    ?????? ??????? ?? ????? ?????.

13
???? ?? ???? ????????? ?????????
14
???? ?? ????????
  • ??????? ???? ????? ???????? ?????? ???????.

15
???? ???????
  • ?????? ??????? ?? ???? ?????? ?? ??? ?????? ??
    ??? ?????? ???????? ????????? ??????? ????????
    ?????.

16
????????? ??????? ???????
17
?????? ??????? ???????? ?????????
  • ??????? ????????? ??.......,1,1,3,5,8,13,21,34
  • ?????? ??? ?? ???? ????? ?????? ??????? ????
    ???????
  • 21 2.000, 85 1.600,
  • 138 1.625, 2113 1.615
  • F 1.618033 or (1?5)/2
  • ?? ??? ?? ??????? ????????? ???? ??? ?????????.

18
?????? ??????? ?? ????
19
(No Transcript)
20
(No Transcript)
21
????? ?????????
  • ???? ???? ???? ???? ???????.
  • ?? ??? ?????? ????? ??? ????? ????? ?? ??? (
    ????? ???? ????? ???? ???????).

22
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  • ???? ??????? ??? ??? ?? ???? ?? 1? ?????? ????
    ???.
  • ??? ??? ???? ???? ??? ???? 2? 3 ????? 5... (????
    ?????).
  • ???? ????? ????? ?? ?? ???? ??? ?????.

23
???? ??????? ??????? (????? ?????????)
24
?????? ??????? ?? ???????? ???? ??? ??????
???????? ?? ??? ????? ???????
25
?? ???? ???????? ( ???????) ?? ?? ???? ????
??????? ..... 1?1?2?3?5?8?12?21 ?? ??? ???
???????? ?? ??? ??????? ????? ????? ??? ????
??????? ??????????
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