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7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
1/27
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Dgv pujpu`}v gv}n}`swgv mw
kjheug mju vwu dg |`vcbg nwhc`k 1h}ng jw ucd`} :
5? jf}jeug 5?33 ]uc|c`d mg Hc}wu`} K`kc Mhcvj
Ckcdvg mw pujl`d mwk |`vcbg pcu Djkcum mg \`kf`
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
2/27
5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
5
]cedg mgv hc}`ugv
3+ @k}ujmwf}`jk ++++++++++++++++ ++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ +++++++++++++=
5+ Dgv ju`b`kgv mw kjheug mju ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++7
6+ Cppcu`}`jkv vwppjvgv ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++2
Gk cu} g} gk cufn`}gf}wug 1 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++2
Gk vf`gkfgv 1 ++++++++++++++++ ++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ +++++++++++++>
=+ Dgv ugf}ckbdgv puluv mgv njhhgv ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 3?
7+ _ujpu`}v hc}nhc}`swgv +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 33
_ujpu`}v cdbeu`swgv ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 33
c) Dc vgf}`jk mjug1 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 33
e) L`ejkcff`1 ++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ ++++++++++++++++ +++++ 35
f) Dgv pw`vvckfgv mw kjheug mju1+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 35
_ujpu`}v bjh}u`swgv +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 35
c) Fjkv}uwf}`jk c|gf dc ubdg g} dg fjhpcv1 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 35
e) Dg ugf}ckbdg mju1 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 36
f) Dg }u`ckbdg mju1+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 36
m) Dg pgk}cbuchhg1 +++++++++++++++++ ++++++++++++++++ ++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ ++++++++++++++++ +++++ 3=
g) Dg pgk}cbjkg1 ++++++++++++++++ ++++++++++++++++ ++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ +++++++++++++++++ +++++++++++++++ +++++++++++++++++ +++++++++++++ 3=
l) Dg mjmfcmug1 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 3=
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
3/27
5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
6
Uvwd}c}v ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 32
\`vcbgv ckcdvv ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 3>
Fjkfdwv`jkv ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 3>
>+ Ckcdvg vgdjk mg \`kf` +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 30
_ujfm ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 30
Fjkfdwv`jk ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 30
\`vcbgv ckcdvv ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 30
0+ Fjkfdwv`jk l`kcdg +++++++++++++++++ ++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ +++++++++++++++++ +++++++++++++++ 55
3?+ Vjwufgv +++++++++++++++ ++++++++++++++++ ++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ +++++++++++++++++ +++++++++++++++ +++++++++++++++++ ++ 56
D`|ug 1 ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ ++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ ++++++++++++++++ ++++++++++++++++ ++++++++ 56
Cu}`fdgv 1 ++++++++++++++++ ++++++++++++++++ ++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ +++++++++++++++++ +++++++++++++++ +++++++++++++++++ ++ 56
V`}gv 1 ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ ++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ ++++++++++++++++ ++++++++++++++++ ++++++++ 56
\`mjv 1 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 5=
33+ Ulugkfgv pnj}jbucpn`swgv ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 5=
35+ Ckkg~gv 1 ++++++++++++++++ ++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ +++++++++++++++++ ++++++++++++++++ ++++++++++++++++ +++++++++++++ 57
@k}gu|`gr mw Mu+ _lwdb +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 57
Kj}gv fjkv}`}wck} dc hjgkkg mg egcw} +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 5
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
4/27
5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
=
3+ @k}ujmwf}`jk
Gk`bhc}`swg g} hv}u`gwvg$ dc egcw} gv} wk vgfug} `hpk}ucedg+ Vjw|gk} fjkv`mug fjhhg
`kml`k`vvcedg$ gddg kgv} ub`g pcu cwfwkg kjuhg k` fu`}ug wkck`hghgk} m}guh`k+ Jk m`}
vjw|gk} swg dc egcw} gv} mckv d`d mg fgdw` sw` dc fjk}ghpdg9 vc vweagf}`|`} gv} mjkf vjwv(gk}gkmwg+ G} pjwu}ck}$ Mgdcfuj`~$ pg`k}ug luckc`v mw ^\@@@hg v+$ cll`uhg swg dncuhjk`g gv}
dg~pugvv`jk dc pdwv |cv}g mw egcw+ Wkg jp`k`jk pcu}cbg pcu dg pj}g _njffd`mg sw` c|ckc`}
ma v`~ v`fdgv c|+ A+(F+ sw gk }jw}g fnjvg$ dg egcw uvwd}g mg dc awv}gvvg mgv pujpju}`jkv +
Cu`v}j}g ml`k`} swck} dw` dc egcw} gk }uj`v hj}v1 puf`v`jk$ vh}u`g g} fjjum`kc}`jk+
_cu c`ddgwuv$ pdwv`gwuv }wmgv jk} mhjk}u swg fgu}c`kgv fjkv}ck}gv$ pculj`v fn`llugv$ kjwv
}jwfnc`gk} pcu}`fwd`ughgk}+ Fgv} dg fcv mwkg |cv}g }wmg eu`}ckk`swg j$ dc`mg mwk
pujbuchhg `kljuhc}`swg$ mgv |`vcbgv mnjhhgv jk} } hjm`l`v mcpuv mgv c|`v lh`k`kv cl`kmcppujfngu dc pgulgf}`jk hcvfwd`kg$ g} |`fg |guvc+ @d uvwd}c swg dg hdg `uuv`v}`edg vguc`}
fcucf}u`v pcu wkg hfnj`ug g} wk hgk}jk pw`vvck}$ mgv vjwuf`dv hcuswv$ wk }juvg hwvfd$ mgv
pj`bkg}v vh}u`swgv$ g} wk }jwu mg }c`ddg 3?' `klu`gwu cw }jwu mg nckfngv+ Swck} dc lghhg
`mcdg$ gddg vguc`} mj}g mg buckmv gw~$ mwk pg}`} kgq$ mg d|ugv pwdpgwvgv$ mwkg hfnj`ug g}
mwk hgk}jk md`fc}v$ mwkg pj`}u`kg lguhg g} vh}u`swg$ mwkg pgcw d`vvg vckv `hpgulgf}`jkv$ g}
mwk }jwu mg }c`ddg ugpuvgk}ck} 2?' mw }jwu mg nckfngv+ Dc vgfjkmg gksw}g vgv} fjkfgk}ug vwu
dg ucppju} }c`ddg*nckfngv mgv lghhgv+ Dg _u+ Mg|gkmuc V`kbn c `k}guujb pdwv mwk h`dd`gu
mnjhhgv bv mg 3> >< ckv$ `vvwv mg fwd}wug g} mg h`d`gw~ vjf`jpujlgvv`jkkgdv m`llugk}v cw~
swc}ug fj`kv mw hjkmg+ Dc fjkfdwv`jk lw} vckv cppgd$ dg awu hcvfwd`k cck} wkck`hghgk} dw dgv
lghhgv mjk} dg ucppju} }c`ddg*nckfngv vg v`}wc`} gk}ug
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
5/27
5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
7
5+ Dgv ju`b`kgv mw kjheug mju
Mgpw`v mgv v`fdgv$ dg kjheug mju$ sw` gv} dc fjkv}ck}g 8 .37)*583$?6 lc`} pcudgu mg dw`+
@d `k}gu|`gk} mckv dc pujpju}`jk m`|`kg$ cwvv` cppgdg vgf}`jk mjug$ sw` djk pu}g mgv
pujpu`}v gv}n}`swgv g} hc}nhc}`swgv fjkv`mugv fjhhg hv}`swgv+
Dg pugh`gu sw` v `k}ugvvc lw} Gwfd`mg$ sw`$ }uj`v v`fdgv c|ck} kj}ug ug$ }wm`c dg pcu}cbg mwk
vgbhgk} CE pcu wk pj`k} F dg fjwpck} gk g~}uhg g} hjgkkg uc`vjk$ dg pj`k} F }ck} ml`k`
pcu dswc}`jk CE*CF8CF*FE .fl+ p+33 c)vgf}`jk mjug)+ @d vgk vgu|c`} mckv dc fjkv}uwf}`jk mgv
pgk}cbjkgv g} dgv ljuhwdgv ml`k`vvck} dgv pujpu`}v mw mjmfcmug .fl+ p+3=) g} mg d`fjvcmug+
C dc l`k mw 37hg v`fdg$ wk hj`kg luckf`vfc`k$
Dwfc _cf`jd`$ pwed`c H`dck gk 3=0> wk jw|ucbg
kjhhMg m`|`kc pujpju}`jkg }uc`}ck} mw
lchgw~ pcu}cbg gk g~}uhg g} hjgkkg
uc`vjk + Dgv pugh`guv vjwpjkv swck} cw~
pujpu`}v gv}n}`swgv pujecedgv mw kjheug
mju kcsw`ugk} mw lc`} swg dg }njdjb`gk vjwdg|c
dc puvgkfg mg mckv dg mjmfcmug sw`$ vgdjk
_dc}jk$ ugpuvgk}c`} dwk`|guv+ Fg lw} Djkcum
mg \`kf` swg ug|`k} dc }fng mg mgvv`kgu wkgvj`~ck}c`kg mg pjdmugv pjwu dg pugh`gu
|jdwhg$ Fjhpgkm`j mg M`|`kc _ujpju}`jkg$ mg
Dwfc _cf`jd`$ sw`d fjhpd}c pcu dc vw`}g pcu mgw~
ckkg~gv$ dwk fjkfgukck} dcufn`}gf}wug g} dcw}ug
dgv pujpju}`jkv mw fjupv nwhc`k$ mckv dgvswgdv
`d kg lw} cwfwkghgk} swgv}`jk mwkg gv}n}`swg
nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnk`pcu}`fwd`ug mwg dc m`|`kg pujpju}`jk+
_dwv }cum$ cw ^@^hgv`fdg$ Cmjdl Qg`v`kb.3>3?(3>2
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
6/27
5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
7/27
5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
2
_ uch mg mg Ingj v
vcfughgk} mg dc mguk`ug fkg mg Mcd`
6+ Cppcu`}`jkv vwppjvgv
Gk cu} g} gk cufn`}gf}wug 1
Cl`k mg pujw|gu dgv pjw|j`uv gv}n}`swgv mw kjheug mju$ fgu}c`kv vf`gk}`l`swgv vg vjk} pgkfnv
vwu vc puvgkfg gk cu}$ gk cufn`}gf}wug g} gk vf`gkfgv+ C`kv`$ `dv jk} mfjw|gu} sw`d c } w}`d`v
pjwu dc pugh`ug lj`v pcu dgv bp}`gkv |guv 57
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
8/27
5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
>
Vp`ucdg djbcu`}nh`swg
Dg Fjuewv`gu$ cufn`}gf}g vw`vvg mw ^^hg$ gw
bcdghgk} ugfjwuv cw kjheug mju mckv vgv
fjkv}uwf}`jkv+ @d v`kvp`uc mgv `mgv mg \`}uw|g$
cufn`}gf}g ujhc`k cck} |fw wk v`fdg c|+ A+F+$
sw` mjkkc`} cw~ e}`hgk}v dgv m`hgkv`jkv mw
fjupv nwhc`k+ Gk 307?$ Dg Fjuewv`gu pwed`c dg
Hjmwdju$ jw|ucbg mckv dgswgd `d g~pd`swg mg
swgddg hck`ug `d fngufng kjuhcd`vgu
dwueck`vhg dc`mg mw kjheug mju mckv wk ew}
mncuhjk`g g} mgv}n}`swg+ Fg vv}hg gv}
puvgk} mckv dc f`} ucm`gwvg Hcuvg`ddg$ g}
dc fncpgddg Kj}ug(Mchg(mw(Ncw} mg
Ujkfnchpv+
Gk vf`gkfgv 1
@d vgv} c|u swg dg kjheug mju gv} puvgk} mckv dc kc}wug+ _cu g~ghpdg$ jk ug}ujw|g dc vp`ucdg
djbcu`}nh`swg mckv dgv chhjk`}gv g} dgv fjsw`ddgv mgvfcubj}v+ Dg kjheug mg p}cdgv mgv ldgwuv
vguc`} dw` }uv }uj`}ghgk} d` c|gf dc vw`}g mg L`ejkcff`+ Gk gllg}$ ucugv vjk} dgv gvpfgv kcck}
cwfwk ucppju} c|gf gddg+ @d vg pjwuuc`} mc`ddgwuv swg fgf` g~pd`swg dc ucug} mgv }uldgv swc}ug+
Kcw}`dg
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
9/27
5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
0
Fjkfgukck} dc _nddj}c~`g$ mjhc`kg }uc`}ck}
mg dc m`vpjv`}`jk mgv lgw`ddgv vwu wkg }`bg$ jk
fjkv}c}g swg fngq dgv }jwukgvjdv jw gkfjug
dgv pswgug}}gv$ dgv pcucv`}`swgv
vgk}ugfuj`vgk}$ }ugk}g(swc}ug }jwukgk} mckv dg
vgkv mgv c`bw`ddgv mwkg hjk}ug$ g} |`kb}(g}(
wkg mckv dg vgkv `k|guvg+ Ju$ 6=*538
3+
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
10/27
5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
3?
Ugf}ckbdg mju
=+ Dgv ugf}ckbdgv puluv mgv njhhgv
Mgv }wmgv jk} } gllgf}wgv mckv dg ew} mg pujw|gu dgv pujpu`}v gv}n}`swgv mg dc vgf}`jk
mjug+ Fgpgkmck}$ dgv uvwd}c}v mg Bgjubg Hcuijrvi`
pcu g~ghpdg$ pujlgvvgwu mg hc}nhc}`swgv mckv dgvckkgv 302? mckv dgv pugv}`b`gwvgv wk`|guv`}v
chu`fc`kgv mg Ncu|cum g} Fjdwhe`c$ vg vjk} hjk}uv
mfg|ck}v$ `d c puvgk} wk awu swcuck}g(nw`}
ugf}ckbdgv g} dw` c mghckm mg dgv fdcvv`l`gu mw pdwv
egcw cw pdwv hjfng vgdjk dgwu c|`v+ @d gv} cuu`| dc fjkfdwv`jk swg dg pulu }c`} fgdw` mg 3+>6*3+
Kckhj`kv$ gk 3>26
Fcu}g mg fum`}
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
11/27
5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
33
7+ _ujpu`}v hc}nhc}`swgv
Fg kgv} pcv wk ncvcum v` fg kjheug vwvf`}g wk }gd gkbjwghgk} g} sw`d gv} dc f`edg mg }ck}
m`k}guujbc}`jkv+ Gk gllg}$ v` dgv |gu}wv gv}n}`swgv g} hv}`swgv swjk dw` c}}u`ewg vjk} vjw|gk}
swcd`l`gv m`hcb`kc`ugv$ vgv pujpu`}v cdbeu`swgv g} bjh}u`swgv vjk} swck} gddgv ugddgv+ Gk|j`f` swgdswgv wkgv+
_ujpu`}v cdbeu`swgv
c) Dc vgf}`jk mjug1 Wk vgbhgk} gv} fjkv`mu fjwp gk g~}uhg g} hjgkkg uc`vjk djuvswg
CE*CF 8 CF*FE8 ^
C ^ 3 F 3 E
Mjkf 1
t ~
``
Ljuhwdg mg \`}g 1
C|gf 1 3 8 hh
V` $ cdjuv mg|`gk} t 1 k
Jk ughcuswg swg v` djk cmm`}`jkkg 3 $ jk je}`gk} vjk fcuu$ g} v` djk vjwv}uc`} 3$ dg uvwd}c}
kgv} cw}ug swg vjk `k|guvg+
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
12/27
5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
35
e) L`ejkcff`1 Dc vw`}g mg L`ejkcff` vg ljuhg gk cajw}ck} fncswg lj`v dg uvwd}c} mg dcmm`}`jk mgv
mgw~ mguk`guv kjheugv+
3 93 95 96 97 9> 936 953 96= 977 9>0 93== 9
Vc pcu}`fwdcu`} gv} swg v` djk m`|`vg dg mguk`gu kjheug pcu dc|ck} mguk`gu$ dg uvwd}c} je}gkw vg
ucppujfng mg pdwv gk pdwv mw kjheug mju cw lwu g} hgvwug swg dgv kjheugv cwbhgk}gk}+ C`kv`$
djuvswg }gkm |guv d`kl`k`$ dc d`h`}g mg dc vw`}g mgv swj}`gk}v gv} dg kjheug mju+
f) Dgv pw`vvckfgv mw kjheug mju1
8
Jk fjkv}c}g swg dgv fjgll`f`gk}v kg vjk} cw}ugv swg dgv kjheugv mg L`ejkcff`+
_ujpu`}v bjh}u`swgv
c) Fjkv}uwf}`jk c|gf dc ubdg g} dg fjhpcv1
3
F8 8 8 8
3*5
F
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
13/27
5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
36
e) Dg ugf}ckbdg mju1 fncswg lj`v swjk dw` gkd|g wk fcuu$ jk je}`gk} wk kjw|gcw ugf}ckbdg mju+
Dc d`h`}g }ck} dg ugf}ckbdg pj`k}+
^(3
M F
3 (~ 8 3
^
C ^ L E
f) Dg }u`ckbdg mju1Fgv} wk }u`ckbdg sw`dc}ucd mjk} wk ckbdg |cw} 6
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
14/27
5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
3=
m) Dg pgk}cbuchhg1
g) Dg pgk}cbjkg1
C
l) Dg mjmfcmug1 `d lc`} pcu}` mgv f`ks vjd`mgv mg _dc}jk g} ugpuvgk}g mcpuv fgdw`(f` dwk`|guv+
Vgv mjwqg lcfgv vjk} }jw}gv mgv pgk}cbjkgv ubwd`guv$ fg sw`g~pd`swg vjk ucppju} c|gf dg kjheug mju+
Dg ucppju} gk}ug dgv vgbhgk}v cefm mckv wk
jumug mg djkbwgwuv mfuj`vvck}gv fjuugvpjkm cw
kjheug mju+
E
FM
G
6
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
15/27
5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
37
_ujl`d mg Ic}g Hjvv ckcdv pcu dg Mu+ _lwdb pjwu dg hcbcv`kg \jbwg
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
16/27
5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
3
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
17/27
5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
32
V` fgdw`(f` gv} bcd 3+
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
18/27
5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
3>
\`vcbgv ckcdvv
\`vcbg k3 \`vcbg k5 \`vcbg k6
\`vcbg k= \`vcbg k7
Fjkfdwv`jkv
V` djk pcu} mw pu`kf`pg swg hc h}njmg mckcdvg gv} fjuugf}g g} kg fjhpju}g pcv mg lc`ddgv$ dc
fjkfdwv`jk gv} vckv cppgdv$ dg kjheug mju kc v}u`f}ghgk} cwfwkgv pujpu`}v gv}n}`swgv cw
k`|gcw mw |`vcbg nwhc`k+ @d hgv} `hpjvv`edg mg }ujw|gu wk d`gk gk}ug vc puvgkfg g} dc|`v mw awu+
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
19/27
5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
30
>+ Ckcdvg vgdjk mg \`kf`
_ujfm
C dc vw`}g mgv fjkfdwv`jkv }`ugv mg hc pugh`ug h}njmg mckcdvg$ ac` mf`m mcppd`swgu dc
hhg }gfnk`swg swg dg Mu+ _lwdb$ sw` gv} fgddg mg mg \`kf`+ Mckv wk pugh`gu }ghpv$ ac|c`v fnj`v`
mg kg pcv dw}`d`vgu fcu ag kg vw`v pcv gk hgvwug mg~pd`swgu vjk d`gk c|gf dc vgf}`jk mjug+
_jwu}ck}$ fgv} pcu}`u mgv uvwd}c}v je}gkwv dc vw`}g mg fg}}g }gfnk`swg mckcdvg swg dg kjheug
mju vgv} |w c}}u`ewgu dc fcpcf`} mghegdd`u wk |`vcbg+ G} v` hjk vjwnc`} gv} mg dc fjkl`uhgu$ `d hg
vghedg db`}`hg mg pujfmgu mg dc hhg hck`ug swg hgv pumfgvvgwuv+
Ac` mjkf }gkw fjhp}g$ }jw} fjhhg mg \`kf`$ mgv }uj`v fu`}ugv
vw`|ck}v 1 v` dg |`vcbg gv} m`|`v gk }uj`v pcu}`gv bcdgv$ dwkg cddck}
mw vjhhg} mw lujk} cw~ vjwuf`dv$ dc vgfjkmg mgv vjwuf`dv dc ecvg
mw kgq$ g} dc mguk`ug mg dc ecvg mw kgq dc pj`k}g mw hgk}jk 9 v`
dc m`v}ckfg vpcuck} dg hgk}jk mg dc lgk}g dce`cdg gv} mgw~ lj`v
bcdg dc m`v}ckfg gk}ug dc ecvg mw kgq g} dc lgk}g dce`cdg 9 g} v` dgv
gw~ vjk} `kfd`kv |guv dg ncw}
Fjkfdwv`jk
kjw|gcw$ ag kg kj}g cwfwkv ucppju}v pcu}`fwd`guv gk}ug dc|`v mw awu g} dgv pujpju}`jkv m`|`kgv mg
mg \`kf`+
\`vcbgv ckcdvv
\`vcbg k3
c8e8f kjk
58 kjkPgw~ mg v}cu jw`
Ckcdvg lc`}g pcu mg \`kf`
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
20/27
5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
5?
\`vcbg k5
\`vcbg k6
c8e8f kjk
58 jw`Pgw~ mg v}cu kjk
c8e8f kjk
58 jw`Pgw~ mg v}cu kjk
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
21/27
5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
53
\`vcbg k=
\`vcbg k 7
c8e8f kjk
58 jw`Pgw~ mg v}cu kjk
c8e8f jw`
58 jw`Pgw~ mg v}cu jw`
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
22/27
5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
55
0+ Fjkfdwv`jk l`kcdg
\uc`vghedcedghgk}$ dg kjheug mju kc pcv m`kldwgkfg vwu dc egcw} mwk |`vcbg+ Gk gllg}$ ag kc`
kj} djuv mg dc fjhpcuc`vjk mgv c|`v g} mg dc puvgkfg mg dc vgf}`jk mjug vwu dgv |`vcbgv cwfwkgv
ugdc}`jkv gk}ug dgv mgw~+ G} fg cw}ck} pjwu dc h}njmg mckcdvg mg mg \`kf` swg pjwu dc h`gkkg+Ac` bcdghgk} pw ughcuswgu swg dgv uvwd}c}v mgv mgw~ ckcdvgv m`|gubgc`gk} }j}cdghgk}$ fg sw`
`hpd`swg sw`d c ljufhgk} mgv guugwuv g} mgv lc`ddgv mckv dwkg mgk}ug gddgv jw mckv dgv mgw~+ Mg
lc`}$ cwfwkgv mgv mgw~ kg }`gkkgk} fjhp}g k` mg dc vh}u`g$ k` mw pujl`d+ Jk pjwuuc`} mjkf dgv
swcd`l`gu m`kfjhpd}gv+ Kckhj`kv$ ljufg gv} mg fjkv}c}gu sw`d gv} g~}uhghgk} m`ll`f`dg m}ced`u
wkg ljuhwdg gkbdjeck} d`k}bucd`} mg dc lcfg$ fcu fgddg(f` fjhpju}g mgv `uubwdcu`}v$ mgv
cvh}u`gv$ jw gkfjug mw ugd`gl dc ugkmck} ugdc}`|ghgk} fjhpdg~g+ C`kv`$ mg pcu} dwk`f`} mg fncswg
|`vcbg$ pgw}(}ug gv}(fg v`hpdghgk} `hpjvv`edg mg dgwu cppd`swgu wkg ljuhwdg wk`|guvgddg$ g} mjkf
mg fjkl`uhgu jw kjk g} mg swck}`l`gu dc puvgkfg mw kjheug mju+
Dc hjgkkg mg egcw} pgw} swck} gddg cwvv` }ug ugh`vg gk fcwvg$ fcu ac` vjwdg| swgdswgv
m}c`dv sw` ugkmc`gk} dc hck`ug m|cdwc}`jk mg fncswg `km`|`mw m`llugk}g+ _ugh`ughgk}$ `d c
fgw~ sw` vjk} c}}gk}`lv dc vh}u`g mw |`vcbg$ vc ubwdcu`}$ vjk ncuhjk`g$ cdjuv swg mcw}ugv
kj}gk} mg lcjk egcwfjwp pdwv vpjk}ckg$ `dv |cdwgk} dc pugh`ug `hpugvv`jk+ Mgw~`hghgk}$ ac`
dg vgk}`hgk} swg dc v}ce`d`} pvfnjdjb`swg ajwg wk udg mf`v`l+ C`kv`$ pdwv wkg pguvjkkg c dc`u
e`gk mckv vc pgcw vgdjk hj`$ pdwv dc pcdg}}g mg kj}gv w}`d`vgv gv} dcubg+ V` e`gk swg dgv agwkgv jk}
}gkmckfg vg d`h`}gu cw~ kj}gv mg 6 2$ cdjuv swg dgv bgkv pdwv hc}wugv vg vgu|gk} mgv m`~ kj}gv+
Vcajw}g fgdc swg dg fcucf}ug c bcdghgk} vjk `hpju}ckfg$ fgu}c`kv `km`|`mwv fwdpce`d`vgk} gk
hg}}ck} mgv cppuf`c}`jkv ecvvgv$ }ckm`v swg mcw}ugv kjk} cwfwkv vfuwpwdgv c}}u`ewgu mgv 3+
Hc`v h`v pcu} dc pguvjkkcd`} mgv hgheugv mw awu$ dgv kjuhgv mg egcw} `hpjvgv pcu dc
vjf`} k`kldwgkfgk}(gddgv pcu dgwuv bj}v: G} dgv uvwd}c}v vguc`gk}(`dv v`h`dc`ugv v` agllgf}wc`v
dg~pu`gkfg mckv fgk}$ mgw~(fgk}v ckv: Fgv} cvvgq kc}wugddghgk} swg dgv pulugkfgv vg }jwukgk}
|guv dgv pdwv agwkgv$ vcfnck} swg dgv u`mgv vjk} fjkv`mugv fjhhg wk mlcw}+ Cwvv`$ v` dg awu
mg|`kg wk vwupj`mv gk jevgu|ck} dg |`vcbg$ fgdw`(f` gv} cw}jhc}`swghgk} pkcd`v+ Dc vhpc}n`gg~pu`hg gv} bcdghgk} wk lcf}gwu pu`hjum`cd$ fgv} wk v`bkg mjw|gu}wug dcubghgk} ufjhpgkv
djuv mgv cppuf`c}`jkv+ Jk pgw} mjkf v`k}guujbgu vwu d `hpcf} mg kj}ug gk|`ujkkghgk} g} mg kj}ug
pjswg vwu kjv bj}v$ fcu `d gv} |`mgk} swg dg fcucf}ug kgv} pcv dg vgwd dhgk} `kldwgk}+ V` e`gk
swg$ hcdbu }jw} hgv gllju}v$ ag mjw}g swg dc hjgkkg mg egcw} pw`vvg }ug ml`k`g fjhhg
fjuugf}g+
_cu fjkvswgk}$ v` dg~cf}`}wmg mgv mgw~ lcf}gwuv mg fjhpcuc`vjk gv} mjw}gwvg$ `d gk gv} mg hhg
pjwu dc fjkfdwv`jk l`kcdg+ Hc`v l`kcdghgk}$ fjhhg dg m`} Ng`kq _cbgdv$ Dc egcw} gv} `km`vvjf`cedg
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
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Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
56
mw ugbcum mg fgdw` sw` |j`}$ gddg gv} mjkf }jw} fg sw`d c mg pdwv v weagf}`l$ g} dc |cu`c}`jk mgv
awbghgk}v mgv | vcbgv hg dg mhjk}ug fdc`ughgk}+
Swck} dc puvgkfg mg dc vgf}`jk mjug mckv dc puch`mg mg Ingjpv pcu g~ghpdg$ jk pgw} fgu}gv
dc pujw|gu$ hc`v u`gk kg kjwv pguhg} mcll`uhgu swg vjk w}`d`vc}`jk c } lc`}g mgv l`kv
gv}n}`swgv+ _cu c`ddgwuv$ ucppgdjkv swg dg~`v}gkfg mg fgv pujecedgv |gu}wv kcsw`} mw lc`} swg Dwfc
_cf`jd` c|c`} fjkv}c} swg dg mjmfcmug$ sw` pjwu _dc}jk ugpuvgk}c`} dwk`|guv$ fjhpju}c`} dg
pcu}cbg gk g~}uhg g} hjgkkg uc`vjk+ @d gk c|c`} mjkf fjkfdw swg fg}}g fjkf`mgkfg c|c`} wk
ucppju} c|gf M`gw$ fg sw` dc ugkmc`} egddg+ Fg}}g mfdcuc}`jk mfjwdc`} mjkf mg fujckfgv m`| kgv+
G} hhg v` dgv cppcu`}`jkv mw kjheug mju vwu dg fjupv nwhc`k g} mg dc vw`}g mg L`ejkcff` mckv dc
kc}wug vjk} pjwu dc pdwpcu} `uulw}cedgv$ cwfwkgv g~pu`gkfgv vf`gk}`l`swgv kgv} cf}wgddghgk} gk
hgvwug mg fgu}`l`gu swgdfjkswgv pujpu`}v gv}n}`swgv c}}u`ewcedgv cw kjheug mju+ Hc`v gv} (fg
ugddghgk} vgkv mg }gk}gu mg~pd`swgu d`uuc}`jkkgd$ dgv hj}`jkv$ pcu dg uc}`jkkgd$ dgv kjheugv :
_gw}(}ug vguc`}(fg pdwv uc`vjkkcedg mcffgp}gu swg dgv}n}`swg kgv} pcv swck}`l`cedg$ hc`v egd g}
e`gk ugdc}`|g+
3?+ Vjwufgv
D`|ug 1
Dg kjheug mju H+ Kg|gw*N+ G+ Nwk}dg @VEK 1 5+?5+?5073
Dg fjmg vgfug} _u`c Nghgkrc @VEK 1 02>+6+>6
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
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5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
5=
rrr+p`pjw(ncpp(njwu+edjbvpj}+fjh
rrr+fu`v}cdckbg+j|gu(edjb+fjh
\`mjv 1
n}}p1**rrr+jw}weg+fjh*rc}fn:|8?>7IVS\e(W
n}}p1**rrr+jw}weg+fjh*rc}fn:|8lhc\siU?Q^b,lgc}wug8ugdc}gm
n}}p1**rrr+jw}weg+fjh*rc}fn:|83CQg0b5Nwq?,lgc}wug8ugdc}gm
n}}p1**rrr+jw}weg+fjh*rc}fn:|86vGUfH0j57b,lgc}wug8ugdc}gm
n}}p1**rrr+jw}weg+fjh*rc}fn:|8i}DfVN=WipG,lgc}wug8ugdc}gm
n}}p1**rrr+jw}weg+fjh*rc}fn:|8aF5GKJIDjbi,lgc}wug8ugdc}gm
n}}p1**rrr+jw}weg+fjh*rc}fn:|8VM(Q`sM|kIj,lgc}wug8ugdc}gm
33+ Ulugkfgv pnj}jbucpn`swgv
Fjw|gu}wug1ckcdvg mw pujl`d mwk |`vcbg pcu mg \`kf` 1
n}}p1**pujlcu}vpdcv}`s+fckcdedjb+fjh*cufn`|gv*6ghgZZZ}uj`v`ghg*`kmg~+n}hd .fjkvwd} dg 30+3?+33)
_cbg 71 njhhg mg \`}uw|g 1
n}}p1**cqgdcu`wv+lugg+lu*Fjwuv*Fjwuv'5?vhejd`vhg'5?5'5?Kjheug'5?Ju*fjwuv'5?vhejd`vhg'
5?5'5?kjheug'5?m'52ju+n}h .fjkvwd} dg 30+3?+33)
_cbg 2 1 puch`mg mg Ingjpv 1 n}}p1**rrr+luckfc vlcf`dg+fjh*g~guf`fgv*g~guf`fg(
luckfc`v5*g~guf`fg(luckfc`v(3==>0+pnp .fjkvwd} dg 30+3?+33)
_cu}nkjk 1 n}}p1**}uwfvhc}nv+lugg+lu*kjheugZmZju+n}h .fjkvwd} dg 30+3?+33)
Dc Ajfjkmg mg mg \`kf` 1 n}}p1**ajfjkmg+|`kf +lugg+lu*.fjkvwd} dg 30+3?+33)
Vcfughgk} mg dc mguk`ug fkg mg Mcd` 1 n}}p1**rrr+cppugkmug(gk(
d`bkg+kg}*edjb*`kmg~+pnp*5??0*?7*55*363=(dc(fgkg(mg(mcd` .fjkvwd} dg 30+3?+33)
_cbg > 1 hjmwdju 1 n}}p1**rrr+dfgg(hc}n`cv+lu*cu}`fdg+pnp6:`mZcu}`fdg8532 .fjkvwd} dg 30+3?+33)
vp`ucdg djbcu`}nh`swg 1
n}}p1**rrr+fhjk}hjugkf+sf+fc*{gbcwd*gvqZv }gvZg}wm`ck}vZC?2*V`}gZrgeZbuZ?>*?26>?02*_cbg'5?
rge*Dg'5?kjheug'5?m'52ju+n}hd .fjkvwd} dg 30+3?+33)
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
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Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
57
kcw}`dg 1 n}}p1**vgubg+hgnd+lugg+lu*.fjkvwd} dg 30+3?+33)
_cbg 0 1 pcucv`}`swgv mwkg pswgug}}g 1
n}}p1**dg|gk}}jwukg+lugg+lu*d`|ugjw|gu}*KjheugJu*pnddj}c~`g+n}hd .fjkvwd} dg 30+3?+33)
_cbg 3? 1 fcu}g mg fum`} 1 n}}p1**rrr+ckkjkfg(vw+fjh*(
3?ZVw`vvg*ckkjkfgvZbuc}w`}gv*2ZCkkjkfgvZGhpdj *23ZFjhp}ce`d`}Zgcfw}gZeckswgZl`kckfg*
.fjkvwd} dg 30+3?+33)
_cbg 3=1 mjmfcmug1 n}}p1**|`ddgh`k+bgucum+lugg+lu*Bgjhg}u`*Ljj}vpng+n}h .fjkvwd} dg 30+3?+33)
_cbg 371 Ic}g Hjvv ckcdvg pcu Mu+ _lwdb pjwu dg hcbcv`kg ]C]DGU 1 rn Ic}g Hjvv `vk} cv
egcw}`lwd cv rg }jwbn}
pujl`d mg Ic}g Hjvv ckcdv pcu dg Mu+ _lwdb pjwu dg hcbcv`kg \jbwg 1
n}}p1**cdc`kejwcq`q+edjbvpj}+fjh*5?33*?
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
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5? jf}jeug 5?33 Dgv pujpu`}v gv}n}`swgv mw kjheug mju1 h}ng jw ucd`} : K`kc Mhcvj
Bhkcvg luckc`v mg E`gkkg ]uc|c`d mg hc}wu`}
5 < < 7 2 = 6 < < < 2 >
< > < 7 > > < 7 < = = 7
= 7 6 7 < < 2 > 7 = > 67 = < < 2 7 < < = < 7 7 < > = = 7 < 7 < 7
6 7 < 2 < > 2 < = < 2
2 < 7+
5 7 6 = 5 7 = 5 7 < 2 7 =
7 7 2 5 7 2 < 5 7 < = 7
7 6 6 6 7 2 7 6 = 5 = 5
= 7 < > 7 < 7 = 7 < 6 57 = 5 = 5 3 = 7 > 7 < =
> = 5 6 2 = 5 = 5 6 7 5
= 5 = 2 = > 5 < 5 =+==
6 6 6 5 = 5 5 5 = 7 5 = 6
< 6 3 3 2 = 5 6 5 5 6 6
= 5 6 5 7 7 < 3 3 3 6 7
5 6 5 3 = 3 5 6 5 5 3 5
6 7 5 6 = = = 5 3 = 3 =
6 5 7 3 5 = < 3 5 5 = 5
6 6 < 6 = 7 6 7 5 = 6 =
3 7 7 7 6 6+?=
= 7 7 0 > 2 < 3? > 2 > 5 >
= = > > > 2 2 > 7 7 < 2
= > > 2 5 < < 7 = < < 7
= < < < 2 2 2 > > < 7 7
< < > > = 7 7 < 2 0 < 3?
< > < < > 3? > 6 > > > 2
7 > > 2 3? < 3? 7 < = > >
7 >
7 6 3? 2 2 3? 7 < 2 6 2 2 >
= 6 2 7 = = < 7 = = = 6
5 3 7 5 7 < < > 0 > 2 0
0 2 7 2 7 > 2 > < > > 0
= > 2 2 2 < > < > < = 2
2 2 > < 7 = > 0 0 7 > 2
7 < 7 = > = > > 6 7+07
7/31/2019 Le nombre d'or : Les proprits esthtiques du nombre d'or sur le visage humain Mythe ou ralit?
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36+ Ughguf`ghgk}v
Wk buckm hguf` cw Mu+ H`fngd _lwdb pjwu hc|j`u fjkvcfu mg vjk }ghpv g} ljwuk` mg puf`gwvgv
`kljuhc}`jkv fjkfgukck} dc h}njmg mccdvg mw |`vcbg nwhc`k mcpuv dg kjheug mju+