????????????(Herodotus, ????485~425?)???,??????????????????????,????,???????????????Geometry???????Geometrein??????,???geo?????,?metrein??????????????????? (rope-stretchers),??????????????? - PowerPoint PPT Presentation

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????????????(Herodotus, ????485~425?)???,??????????????????????,????,???????????????Geometry???????Geometrein??????,???geo?????,?metrein??????????????????? (rope-stretchers),???????????????

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Title: ????????????(Herodotus, ????485~425?)???,??????????????????????,????,???????????????Geometry???????Geometrein??????,???geo?????,?metrein??????????????????? (rope-stretchers),???????????????


1
??????
  • ?????

2
???????
  • ????????????(Herodotus, ????485425?)???,???????
    ???????????????,????,???????????????Geometry??????
    ?Geometrein??????,???geo?????,?metrein????????????
    ??????? (rope-stretchers),???????????????

3
  • ????????????????????????
  • ???????????,???????????????????????,??????????
  • ????????????????????????????????????????????,???
    ????????

4
?????????
  • ????????,?????????????????????????,???????????
    ??????????????,??????????,?????????????,?????????
    ????????,???????365275?????,????????,???????90??

5
???????????????????????,?????????
  • ?.??????????? ABC,?????? ???????????????????,???
    ????????????,???????????????????????

6
  • ?.?????????? 180,????(radian) ???,??????????????
    p

??A
??B
??C
7
  • ??????????,?????????,???????????????????????????
    ?--??,?????????????????????????????,??????????????
    ????????????????,????????180,?????????????,?????
    ??

8
  • ???????????????????,???????????????????????????
    ??,??????????

9
  • ???????????????????,????????????????????????????
    ?????????????,??????????,????????????,????????????
    ????????????????????????????????

10
  • ????????????????,????,??????????,??????????????
    ???,?????,???????,????????????????????????????,???
    ???,??????????????????,???????????????? 180
    ??,?????????????

11
????????
  • ??????(Proclus, 410485)???,????????,???????????
    ???????,????????????????,?????????,???????
    (Allman) ???,??????????????????,???????????,??????
    ????????????????

12
  • ??????????,?????????????(?180?)????,????????,???
    ??????(?360?),?????????????????????,??????????????

13
  • ?????????,?????????,??????????????????????,?????
    ?????????,?????????????????????????????,???????,??
    ??????????????????(?????),????????????????

14
  • ???????????(??),?????????,???????(??),???????????(
    Pascal, 16231662)??????????????????

15
  • ????????????,?????????? DE?DG?EF ?????????
    DEFG,?? ??? A' ?,??????

16
  • ?????????,????????

17
????
  • ?????????????????????????????? c2 a2 b2

18
  • ?????????????????????,????? ABC ?? AB
    ???????,?????????????????????????

19
  • ????????? (geoboard),??????????????????????

20
  • ????,??????????????????????????????????,????? 3,
    4, 5 ????,???? 32 42 52 ???????????(????????)?
  • ?????????,??????????????????????????(??????!)?????
    ????,??? ab ?????????????????,????????,????? a2
    b2???????????????,????????????
    c2??????,??????? a2 b2 c2?
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