Nombre d’OR Rectangles d’Or Divine proportion …. Avertissement. - PowerPoint PPT Presentation
Le Nombre dOR
Nombre dOR
Rectangles dOr
Divine proportion AvertissementOn na pas toujours pu dterminer
de faon certaine si les proportions observes dans les uvres
architecturales et les ouvrages dart rvlaient une intention plus ou
moins consciente de l'artiste, ou si ce ntait qu'une grille de
lecture place a posteriori sur une uvre ( Il faut dans ce domaine
rester modeste et ne pas vouloir tout prix faire apparatre le
nombre d'or partout )Ces limites tant poses, on peut nanmoins
prsenter quelques exemples d'oeuvres o le nombre d'or semble jouer
un rle important
Partons donc la dcouverte du Nombre dOr
Un petit test : Regardez simplement chacun des rectangles de la
diapositive suivante et retenez celui que vous jugez le plus
harmonieux Retenez bien le n choisi
145362Refaisons le mme test 51326 4Les rectangles d'or sont
respectivement les nos .
Il parat (*) que ces rectangles sont le plus souvent choisis...
Leurs proportions donnent une belle impression d'harmonie .
(*)
Les rectangles d'or sont respectivement les nos 3 et 4 !
Daprs une tude du Philosophe allemand Gustav Feshner en 1876
longueur Le rapport ------------- largeur
vaut peu prs 1,62
On dsigne gnralement le nombre dor par la lettre grecque en
hommage au sculpteur grec Phidias ( 490 430 avant J.C. ) qui dcora
le Parthnon Athnes.La Section dore est une appellation qui remonte
1830 .
Elle tait appele par les Grecs partage dun segment en moyenne et
extrme raison Principe :Ce principe est sens raliser en
architecture , en peinture, en sculpture, les proportions les plus
quilibres , les plus harmonieuses
Dans un ensemble compos de 2 parties, le tout est la plus grande
comme celle-ci est la plus petite .m partage le segment [ a , b ]
selon ce principe si abmm partage le segment [ a , b ] selon ce
principe si
abmLe toutm partage le segment [ a , b ] selon ce principe
si
abmLe toutLa plus grandeLa plus grandem partage le segment [ a ,
b ] selon ce principe si
abmLe toutLa plus grandeLa plus grandeLa plus petite Un peu de
math
abmLe toutLa plus grandeLa plus grandeLa plus petite =
abmLe toutLa plus grandeLa plus grandeLa plus petiteor
=
abm
On a donc =
abm
=
abm
=
Rduisons au mme dnominateur
= 1 +
= 1 +
2 - - 1 = 0 Une simple quation du 2eme degr
Lquation 2 - - 1 = 0
possde deux solutions car
Lquation 2 - - 1 = 0
possde deux solutions car
Lquation 2 - - 1 = 0
possde deux solutions car
1 = 2 = Lquation 2 - - 1 = 0
possde deux solutions car
1 = 2 = Seule la 1re solution correspond un point m
Constructions du Nombre dOrUne construction simple
c12ab
Thormede PythagoreTraons la parallle [ab] par le milieu de [ bc]
c12ab
c12ab
prenons notre compas c12ab
c12ab
c12ab
Et voil le Nombre dOR !c12ab
Et voil le Nombre dOR !c12ab
Variante
A nouveauPythagore
+
Rectangles dOr
b aConsidrons un rectangle dOr
Rectangles dOr
b aInscrivons-y le plus grand carr possible
Rectangles dOr
b a b a - bCarr
b a b a - b
CarrExaminons le rapport des dimensions du rectangle obtenu
b a b a - b
Le nouveau rectangle obtenu est donc un rectangle dOrCarr
En inscrivant successivement le plus grand carr aux rectangles
obtenus Rectangle dorOn obtient une succession de rectangles dOr
CarrRectangle dorOn obtient une succession de rectangles dOr
CarrRectangle dorOn obtient une succession de rectangles dOr
CarrRectangle dorOn obtient une succession de rectangles dOr
CarrRectangle dorOn obtient une succession de rectangles dOr On
obtient une succession de rectangles dOr On obtient une succession
de rectangles dOr
Spirale des rectangles dOr La spirale des rectangles d'or est
une fausse spirale parce qu'elle est constitue d'arcs de cercles au
lieu d'avoir une variation continue du rayon. Cependant les
raccordements des arcs sont parfaits car les centres des arcs sont
chaque fois situs sur la mme droite et il y a une unique tangente
chaque point de raccordement .Elle tend rapidement vers un centre Z
. Le segment de droite qui joint le centre Z un point de la courbe
crot en progression gomtrique. La longueur du rayon vecteur est
multiplie par le nombre d'or chaque fois que sa direction tourne
d'un quart de tour.
Cette spirale se rencontre beaucoup dans la nature Nautile
Nautile
Nautile
Nautile
Nautile
Nautile
Nautile
Nautile
Nautile
Nautile
Nautile
Nautile
modle mathmatiqueQuelques repres HistoriquesIl y a 10 000
ansPremiers signes de la connaissance par lhomme ( Temple dANDROS
dcouvert sous la mer des Bahamas )2800 Avant J C : Pyramide de
Kheops
Selon la lgende , les prtres gyptiens disaient que le carr
construit sur la hauteur verticale galait exactement la surface de
chacune des faces triangulaires
ahEncore un peu de mathH = a.h HahDaprs HerodoteHahH = a.h HahH
= a.h HahH = a.h HahH = a.h HahH = a.h HahH = a.h HahH = a.h HahH =
a.h HahH = a.h HahH = a.h HahH = a.h HahH = a.h HahH = a.h HahH =
a.h HahH = a.h HahH = a.h HahH = a.h HahH = a.h HahH = a.h h - a =
a.h
En utilisant nouveau le thorme de PythagoreHahH = a.h h - a =
a.hDivisons les deux membres par ah :
Hah
H = a.h h - a = a.hDivisons les deux membres par ah :
Hah
H = a.h h - a = a.hDivisons les deux membres par ah :Posons
Hah
Posons
On retrouve lquation qui nous a permis de trouver le nombre
dOrdonc la proportion entre la hauteur ( h) d'une face triangulaire
et la moiti (a) du ct de la base est gale au nombre dor
ah
Pythagore (-580;-500)
mathmaticien et philosophe grec tait passionn par l'harmonie et
les proportions. Son trait sur la musique est clbre. On lui doit la
dcouverte de l'irrationalit de certains nombres : et que l'on
trouve dans le nombre d'or et le pentagone rgulier Pythagore
(-580;-500)
Les Pythagoriciens voyaient dans les nombres les principes de
toute chose
Le pentagramme tait le symbole des pythagoriciens.
Pentagones et dcagones rguliersC572Pentagone
rgulierC572Pentagone rgulierC572Pentagone rgulierC572Pentagone
rgulierC572Pentagone rgulierC5Pentagone toil ( Pentagramme
)E5C5Pentagone toil ( Pentagramme )E5C5Pentagone toil ( Pentagramme
)E5C5Pentagone toil ( Pentagramme )E5C5Pentagone toil ( Pentagramme
)E5abC10367272ordcDcagone rgulierabC10367272orcDcagone
rgulierabC10367272ordcDcagone rgulierabC10367272ordcDcagone
rgulierabC10367272ordcDcagone rgulierabC10367272ordcDcagone
rgulierabC10367272ordcDcagone rgulierabC10367272ordcDcagone
rgulierabC10367272ordcDcagone rgulierabC10367272ordcDcagone
rgulierabC10367272ojrdcabC10367236oConstruisons la bissectrice aj
de obj36rdcabC10367236o j3672rdcabC10367236o j3672rdcabC10367236o
j3672S aob ajbrdcabC10367236o j3672S aob ajb
oaajabjbrdcabC10367236o j3672
oaajabjbrr
dcabC10odcR
Le nombre dOr est donc prsent dans le dcagone rgulierC5E5
On montre aussi par les triangles semblables que447-432 av.JCLe
sculpteur grec Phidias utilise le nombre dOr pour dcorer le
Parthnon Athnes, en particulier pour sculpter la statue dAthna
Partnos .
Le Parthnon sinscrit dans un rectangle dor
=
ABFGCDE
=
Sur la toiture , on a aussi
anbentre autre
Statue dAphroditeLe thatre dEpidaure ( IVme sicle av.J-C )
les rapports et sont
Retenons bien les nombres 21 , 34 et 55 On y reviendra dans
quelques instants !III me sicle av. J-C. Premires traces crites
:Dans ses Elments , Euclide explique le partage dun segment en
extrme et moyenne raison
Une droite est dite coupe en extrme et moyenne raison quand,
comme elle est toute entire relativement au plus grand segment,
ainsi est le plus grand relativement au plus petit (Euclide ,
Elments, livre IV , 3eme dfinition )Lonard de Pise, plus connu sous
le nom de Fibonacci, est l'origine du premier modle mathmatique de
la croissance des populations. Il tudia du point de vue numrique la
reproduction des lapins. L'unit de base est un couple de lapins, il
considre qu'un couple de jeunes lapins met une saison devenir
adulte, attend une deuxime saison de gestation, puis met au monde
un couple de jeunes lapins chaque saison suivante
En supposant que les lapins ne meurent jamais , on obtient donc
le schma suivant :
Lorsque l'on compte le nombre de couples de lapins chaque
saison, cela donne... la suite de Fibonacci 1, 1, 2, 3, 5, 8, 13,
21, 34, 55, 89, 144, 233, 377, 610............ pour laquelle on
a
un = un-1 + un-25 + 8 = 138 + 13 = 2113 + 21 = 3421 + 34 =
55Etc
Et revoici le Nombre dOr on remarque que le rapport entre un
nombre de la suite et son prcdent s'approche de plus en plus du
nombre d'or: ~ 1,61803398 21/13 ~ 1,615
34/21 ~ 1,619
144/89 ~ 1,617
610/377 ~ 1,618
La pomme de pin montre clairement les spirales de Fibonacci : 8
vertes dans un sens, 13 rouges dans l'autre sens.Fibonacci dans la
natureLa fleur de tournesol forme deux sries de spirales tournant
en sens contraire: 13 spirales partent de son centre dans une
direction, 21 dans l'autre
Ananas :13 spirales droite et 8 spirales gauche
Escargot : la spirale de baseLes btisseurs de cathdrales Aux XIe
et XIIe sicles ,hritire des traditions anciennes, lorganisation
ouvrire du compagnonnage o les savoirs se transmettaient oralement
de matre compagnon , a fait des rgles du nombre dor le principe du
savoir-faire des btisseurs
Notre-Dame de Paris
Notre-Dame de Paris
Cathdrale de Strasbourg
abcdpyo
Le clbre Taj Mahl, immense monument funraire construit en Inde
par un architecte persan assist de nombreux compagnons de
nationalits diffrentes, a t construit galement selon les
proportions du nombre dor
Les coupoles de plusieurs basiliques et mosques clbres furent
proportionnes selon la Section d'Or et elles reposent sur une base
cubique, comme, par exemple, celles de la Basilique Sainte Sophie
Istanbul, de la Basilique Saint Pierre RomeLes btisseurs de
cathdrales Les btisseurs de cathdrales utilisaient une pige
constitue de cinq tiges articules, correspondant chacune une unit
de mesure de lpoque, relatives au corps humain : la paume, la palme
, lempan, le pied et la coude Les btisseurs de cathdrales Les
btisseurs de cathdrales utilisaient une pige constitue de cinq
tiges articules, correspondant chacune une unit de mesure de
lpoque, relatives au corps humain : la paume, la palme , lempan, le
pied et la coude Coude
PaumeempanpalmeCoudePiedempan
palmePaumeLes longueurs taient donnes en lignes ( une ligne
mesurant 2,247 mm
)Paume347,64palme5512,63empan8920Pied14432,36Coude23352,36Lignes
cmCoudePiedempan
palmePaumePaume347,64palme5512,63empan8920Pied14432,36Coude23352,36Lignes
cmOn retrouve les termes de la suite de Fibonacci !! Fra Luca
Pacioli, un moine professeur de mathmatique , crit
De divina proportionne Fra Luca Pacioli, un moine professeur de
mathmatique , crit
De divina proportionne Lonard de Vinci (1452-1519) a dessin les
polydres pleins ou creux qui illustrent le trait de Luca Pacioli,
son matre de gomtrie .
DECDans ce tableau de Jicopo de Barbari, o Fra Luca Pacioli
explique un thorme , on a
= 1,62
icosadredodcadre
Pour Platon , le Dodcadre ne symbolise rien moins que
lUniversLonard de Vinci , philosophe humaniste de la renaissance,
comme plusieurs autres peintres clbres a utilis la proportion dOr
dans ses toiles
Le visage de sa clbre Joconde est inscrit dans un rectangle
dor
Le Saint Jrome de Leonard de Vinci est aussi parfaitement intgr
dans un rectangle dor
LAnnonciation ( Leonard de Vinci )abmc x y
Leonardo de Vinci est aussi clbre par ses observations du corps
humainL'Homme est inscrit dans un cercle. Quand il lve les bras et
a les jambes cartes, le centre du cercle correspond au nombril.
S'il se tient jambes serres et bras l'horizontale, il s'inscrit
dans un carr.
Le nombril divise la hauteur de l'homme en deux segments qui
sont dans le rapport d'Or
Le rapport entre la distance comprise entre l'extrmit de la main
droite et l'paule gauche et celle comprise entre l'paule gauche et
l'extrmit de la main gauche correspond au Nombre d'Or.
Dessin de Leonard de Vinci ( sans doute autoportrait ) certains
des rectangles de la grille sont des rectangles dOr
Lhomme parfait dAggripa Von Nettesheim ( 1553) (Mdecin,
philosophe et alchimiste allemand )
Bien que les peintres aient souvent travaill en se laissant
guider par un sens inn de lharmonie des volumes et des formes , la
construction gomtrique de la peinture dans certaines uvres nest pas
le fruit dune spculation, mais bien une ralit.
L'tude de lillustration des Grandes Chroniques de France peintes
par Jean Fouquet a t loccasion de vrifier lexistence dun trou de
compas dans une scne mettant en uvre le pentagone rgulier
Souvent, le peintre, place llment, le personnage ou lvnement
dans la section dore du tableau pour que le regard du spectateur y
soit naturellement attirVoici quelques autres exemples
La Naissance de Venus ( Boticelli )
La Naissance de Venus ( Boticelli )
La Naissance de Venus ( Boticelli )
LAdoration des Mages ( Velasquez )
Le format du tableau correspond un rectangle dOr Le tableau
s'organise autour de la diagonale. Les visages de Marie et du
personnage qui est ses cts s'inscrivent galement dans un Rectangle
d'or. Plus contemporains
Pablo Picasso
La Parade ( Seurat )
g f e ahi
Le Sacrement du Dernier Repas de Salvator Dali (1904-1989) est
peint lintrieur dun rectangle dor et des proportions dores auraient
t utilises pour positionner les personnagesAB
AB
une partie dun gigantesque dodcadre symbolisant lUnivers
surplombe la table
Autres exemples dutilisation de la proportion dOr en
architecture
Santa Maria Novella ( Florence )Renaissance Italienne
Tempietto de Bramante ( Rome )
Villa Farnese ( Rome )
La Villa Farnese est btie suivant un plan pentagonalUn dessin de
Francesco Giorgio Martini associe la forme du corps humain et le
plan d'une glise
le rapport des dimensions est analogue celui de San Spirito
Florence conue par Brunelleschi (1377-1446)
Rectangle
Rectangle dOrSan Spirito (Florence )
Chteau de ThoiryLarchitecture de Philibert de LOrme dans ce
chteau est entirement rgle par les nombres. Les proportions des
ailes, fentres, chemines sont toujours bases sur la longueur du
chteau selon des sous-multiples des entiers fondamentaux 1 , 2 , 3
et 5
le nombre dor y joue un grand rle ; le vestibule a les
proportions de la chambre funraire de la pyramide de CheopsChteau
de Thoiry ( Philibert de LOrme )
Un plan de porteRectangle dorRectangle 2 Cette proportion fut
tudie l' poque moderne puisque Le Corbusier, architecte franais
dorigine suisse (1887;1965) l'a immortalise dans Le Modulor.
Prsent en avril 1947 par le Corbusier, Le Modulor est un systme
de mesure bas sur les proportions du corps humain
Dessin et photo de la maison dAmde Ozenfant par Le
CorbusierChapelle de Ronchamps ( Le Corbusier )
Faut-il voir le nombre dOr partout ???
Collection "Pratique du dessin et de la peinture", Bordas,
1973.
Tir du semestriel des "Amis de Herg" n 6du mois de dcembre
1987
Recherches ralises par les lves de 5LM-SA au cours de Math
complmentaires de Mr Colin
BilalFatimaSoufiane
ChanthimLaetitiaYouness
FarahIkram
Nadir RaniSuleyman AyoubImadSources :
http://trucsmaths.free.fr/nombre_d_or.htm
http://www.bib.ulb.ac.be/coursmath/rectangl.htm
http://www.sciences-en-ligne.com/momo/chronomath/chrono1/Fibonacci.html
http://www.rtsq.qc.ca/aiguillart/projet/rech/artmath/no_or/intropas.htm
http://pedagogie.ac-aix-marseille.fr/etablis/lycees/craponne/or/partheno.htm
http://users.hol.gr/~helen/index.files/LE%20NOMBRE%20DOR%202.htm
http://www.ac-nice.fr/artsap/fichedocumen/nombredor.html
http://www.thoiry.tm.fr/thfhchno.htm
http://www.tintin.be/fr/doss_fr/regl1_fr.html
Ville de Bruxelles - Athne Lon Lepage rue des Riches Claires 30
1000 Bruxelles 02 /548 .27 .10 Courriel:
[email protected]
http://www.brunette.brucity.be/lepage/index.html
Enseignement gnral - humanits compltes1e,2e,3e latines, modernes
( orientation sciences ou conomie )4e,5e,6e latin-mathmatique,
latin-sciences4e,5e,6e Modernes, scientifiques A et B , sciences
humaines, sciences conomiques et langues modernesCours de
rattrapage-Prt du livre - Sports dans le cadre scolaire. Sjours
ltranger. Ecole des devoirs , tutorat interne et tutorat ULB ,
programme Cl pour lAdolescence , Agora des Libertsquatuor flte r
majeur K285: adagioMozart Wolfgang (1756-1791)Le Soir1, track 4
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MBD0007604D.unknown
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Graph400.32425017250.64716405680.9346547121.15291617561.27200628931.26938521591.13303312430.86377672810.47650013680-0.5246367791-1.0471114439-1.512271324-1.8654183722-2.0581061761-2.0538652793-1.8332475951-1.3975907461-0.7709772213-00.84886230861.69422631622.44685500223.01824692613.33001579293.32315402182.96619460892.26130182731.24744114410-1.3734592153-2.7412581796-3.9590113935-4.8835235265-5.3879655529-5.3768632073-4.7993028772-3.6587863565-2.0183597711-02.22225701044.43535573476.40568043477.90154106598.71772826468.69976466947.76527205535.91991632483.2657061096
yYX
Feuil1
(2)trxy01100.314161.049300.997940.324250.628321.101020.890740.647160.942481.155300.679070.934651.256641.212250.374611.152921.570801.272010.000001.272011.884961.33471-0.412451.269392.199111.40051-0.823201.133032.513271.46954-1.188890.863782.827431.54199-1.466520.476503.141591.61800-1.618000.000003.455751.69776-1.61467-0.524643.769911.78145-1.44123-1.047114.084071.86927-1.09873-1.512274.398231.96142-0.60611-1.865424.712392.05811-0.00000-2.058115.026552.159560.66734-2.053875.340712.266021.33193-1.833255.654872.377721.92362-1.397595.969032.494932.37282-0.770986.283192.617922.61792-0.000006.597342.746982.612530.848866.911502.882392.331901.694237.225663.024481.777742.446867.539823.173570.980693.018257.853983.330020.000003.330028.168143.49417-1.079763.323158.482303.66642-2.155072.966198.796463.84716-3.112412.261309.110624.03680-3.839231.247449.424784.23580-4.235800.000009.738944.44461-4.22707-1.3734610.053104.66371-3.77302-2.7412610.367264.89361-2.87639-3.9590110.681425.13484-1.58675-4.8835210.995575.38797-0.00000-5.3879711.309735.653571.74705-5.3768611.623895.932263.48690-4.7993011.938056.224705.03589-3.6587912.252216.531556.21187-2.0183612.566376.853536.85353-0.0000012.880537.191376.839402.2222613.194697.545886.104744.4353613.508857.917864.654006.4056813.823018.308172.567377.9015414.137178.717730.000008.7177314.451339.14747-2.826728.6997614.765499.59840-5.641807.7652715.0796410.07156-8.148075.9199215.3938010.56805-10.050813.26571
Feuil1 (2)
yYX
Feuil1trxy01100.314161.049300.997940.324250.628321.101020.890740.647160.942481.155300.679070.934651.256641.212250.374611.152921.570801.272010.000001.272011.884961.33471-0.412451.269392.199111.40051-0.823201.133032.513271.46954-1.188890.863782.827431.54199-1.466520.476503.141591.61800-1.618000.000003.455751.69776-1.61467-0.524643.769911.78145-1.44123-1.047114.084071.86927-1.09873-1.512274.398231.96142-0.60611-1.865424.712392.05811-0.00000-2.058115.026552.159560.66734-2.053875.340712.266021.33193-1.833255.654872.377721.92362-1.397595.969032.494932.37282-0.770986.283192.617922.61792-0.000006.597342.746982.612530.848866.911502.882392.331901.694237.225663.024481.777742.446867.539823.173570.980693.018257.853983.330020.000003.330028.168143.49417-1.079763.323158.482303.66642-2.155072.966198.796463.84716-3.112412.261309.110624.03680-3.839231.247449.424784.23580-4.235800.000009.738944.44461-4.22707-1.3734610.053104.66371-3.77302-2.7412610.367264.89361-2.87639-3.9590110.681425.13484-1.58675-4.8835210.995575.38797-0.00000-5.3879711.309735.653571.74705-5.3768611.623895.932263.48690-4.7993011.938056.224705.03589-3.6587912.252216.531556.21187-2.0183612.566376.853536.85353-0.0000012.880537.191376.839402.2222613.194697.545886.104744.4353613.508857.917864.654006.4056813.823018.308172.567377.9015414.137178.717730.000008.7177314.451339.14747-2.826728.6997614.765499.59840-5.641807.7652715.0796410.07156-8.148075.9199215.3938010.56805-10.050813.26571
Feuil1
yYX
Feuil2
Feuil3
MBD0007604D.unknown
MBD0005B89E.unknown
Graph400.32425017250.64716405680.9346547121.15291617561.27200628931.26938521591.13303312430.86377672810.47650013680-0.5246367791-1.0471114439-1.512271324-1.8654183722-2.0581061761-2.0538652793-1.8332475951-1.3975907461-0.7709772213-00.84886230861.69422631622.44685500223.01824692613.33001579293.32315402182.96619460892.26130182731.24744114410-1.3734592153-2.7412581796-3.9590113935-4.8835235265-5.3879655529-5.3768632073-4.7993028772-3.6587863565-2.0183597711-02.22225701044.43535573476.40568043477.90154106598.71772826468.69976466947.76527205535.91991632483.2657061096
yYX
Feuil1
(2)trxy01100.314161.049300.997940.324250.628321.101020.890740.647160.942481.155300.679070.934651.256641.212250.374611.152921.570801.272010.000001.272011.884961.33471-0.412451.269392.199111.40051-0.823201.133032.513271.46954-1.188890.863782.827431.54199-1.466520.476503.141591.61800-1.618000.000003.455751.69776-1.61467-0.524643.769911.78145-1.44123-1.047114.084071.86927-1.09873-1.512274.398231.96142-0.60611-1.865424.712392.05811-0.00000-2.058115.026552.159560.66734-2.053875.340712.266021.33193-1.833255.654872.377721.92362-1.397595.969032.494932.37282-0.770986.283192.617922.61792-0.000006.597342.746982.612530.848866.911502.882392.331901.694237.225663.024481.777742.446867.539823.173570.980693.018257.853983.330020.000003.330028.168143.49417-1.079763.323158.482303.66642-2.155072.966198.796463.84716-3.112412.261309.110624.03680-3.839231.247449.424784.23580-4.235800.000009.738944.44461-4.22707-1.3734610.053104.66371-3.77302-2.7412610.367264.89361-2.87639-3.9590110.681425.13484-1.58675-4.8835210.995575.38797-0.00000-5.3879711.309735.653571.74705-5.3768611.623895.932263.48690-4.7993011.938056.224705.03589-3.6587912.252216.531556.21187-2.0183612.566376.853536.85353-0.0000012.880537.191376.839402.2222613.194697.545886.104744.4353613.508857.917864.654006.4056813.823018.308172.567377.9015414.137178.717730.000008.7177314.451339.14747-2.826728.6997614.765499.59840-5.641807.7652715.0796410.07156-8.148075.9199215.3938010.56805-10.050813.26571
Feuil1 (2)
yYX
Feuil1trxy01100.314161.049300.997940.324250.628321.101020.890740.647160.942481.155300.679070.934651.256641.212250.374611.152921.570801.272010.000001.272011.884961.33471-0.412451.269392.199111.40051-0.823201.133032.513271.46954-1.188890.863782.827431.54199-1.466520.476503.141591.61800-1.618000.000003.455751.69776-1.61467-0.524643.769911.78145-1.44123-1.047114.084071.86927-1.09873-1.512274.398231.96142-0.60611-1.865424.712392.05811-0.00000-2.058115.026552.159560.66734-2.053875.340712.266021.33193-1.833255.654872.377721.92362-1.397595.969032.494932.37282-0.770986.283192.617922.61792-0.000006.597342.746982.612530.848866.911502.882392.331901.694237.225663.024481.777742.446867.539823.173570.980693.018257.853983.330020.000003.330028.168143.49417-1.079763.323158.482303.66642-2.155072.966198.796463.84716-3.112412.261309.110624.03680-3.839231.247449.424784.23580-4.235800.000009.738944.44461-4.22707-1.3734610.053104.66371-3.77302-2.7412610.367264.89361-2.87639-3.9590110.681425.13484-1.58675-4.8835210.995575.38797-0.00000-5.3879711.309735.653571.74705-5.3768611.623895.932263.48690-4.7993011.938056.224705.03589-3.6587912.252216.531556.21187-2.0183612.566376.853536.85353-0.0000012.880537.191376.839402.2222613.194697.545886.104744.4353613.508857.917864.654006.4056813.823018.308172.567377.9015414.137178.717730.000008.7177314.451339.14747-2.826728.6997614.765499.59840-5.641807.7652715.0796410.07156-8.148075.9199215.3938010.56805-10.050813.26571
Feuil1
yYX
Feuil2
Feuil3
MBD0007604D.unknown
MBD0005B89E.unknown
Graph400.32425017250.64716405680.9346547121.15291617561.27200628931.26938521591.13303312430.86377672810.47650013680-0.5246367791-1.0471114439-1.512271324-1.8654183722-2.0581061761-2.0538652793-1.8332475951-1.3975907461-0.7709772213-00.84886230861.69422631622.44685500223.01824692613.33001579293.32315402182.96619460892.26130182731.24744114410-1.3734592153-2.7412581796-3.9590113935-4.8835235265-5.3879655529-5.3768632073-4.7993028772-3.6587863565-2.0183597711-02.22225701044.43535573476.40568043477.90154106598.71772826468.69976466947.76527205535.91991632483.2657061096
yYX
Feuil1
(2)trxy01100.314161.049300.997940.324250.628321.101020.890740.647160.942481.155300.679070.934651.256641.212250.374611.152921.570801.272010.000001.272011.884961.33471-0.412451.269392.199111.40051-0.823201.133032.513271.46954-1.188890.863782.827431.54199-1.466520.476503.141591.61800-1.618000.000003.455751.69776-1.61467-0.524643.769911.78145-1.44123-1.047114.084071.86927-1.09873-1.512274.398231.96142-0.60611-1.865424.712392.05811-0.00000-2.058115.026552.159560.66734-2.053875.340712.266021.33193-1.833255.654872.377721.92362-1.397595.969032.494932.37282-0.770986.283192.617922.61792-0.000006.597342.746982.612530.848866.911502.882392.331901.694237.225663.024481.777742.446867.539823.173570.980693.018257.853983.330020.000003.330028.168143.49417-1.079763.323158.482303.66642-2.155072.966198.796463.84716-3.112412.261309.110624.03680-3.839231.247449.424784.23580-4.235800.000009.738944.44461-4.22707-1.3734610.053104.66371-3.77302-2.7412610.367264.89361-2.87639-3.9590110.681425.13484-1.58675-4.8835210.995575.38797-0.00000-5.3879711.309735.653571.74705-5.3768611.623895.932263.48690-4.7993011.938056.224705.03589-3.6587912.252216.531556.21187-2.0183612.566376.853536.85353-0.0000012.880537.191376.839402.2222613.194697.545886.104744.4353613.508857.917864.654006.4056813.823018.308172.567377.9015414.137178.717730.000008.7177314.451339.14747-2.826728.6997614.765499.59840-5.641807.7652715.0796410.07156-8.148075.9199215.3938010.56805-10.050813.26571
Feuil1 (2)
yYX
Feuil1trxy01100.314161.049300.997940.324250.628321.101020.890740.647160.942481.155300.679070.934651.256641.212250.374611.152921.570801.272010.000001.272011.884961.33471-0.412451.269392.199111.40051-0.823201.133032.513271.46954-1.188890.863782.827431.54199-1.466520.476503.141591.61800-1.618000.000003.455751.69776-1.61467-0.524643.769911.78145-1.44123-1.047114.084071.86927-1.09873-1.512274.398231.96142-0.60611-1.865424.712392.05811-0.00000-2.058115.026552.159560.66734-2.053875.340712.266021.33193-1.833255.654872.377721.92362-1.397595.969032.494932.37282-0.770986.283192.617922.61792-0.000006.597342.746982.612530.848866.911502.882392.331901.694237.225663.024481.777742.446867.539823.173570.980693.018257.853983.330020.000003.330028.168143.49417-1.079763.323158.482303.66642-2.155072.966198.796463.84716-3.112412.261309.110624.03680-3.839231.247449.424784.23580-4.235800.000009.738944.44461-4.22707-1.3734610.053104.66371-3.77302-2.7412610.367264.89361-2.87639-3.9590110.681425.13484-1.58675-4.8835210.995575.38797-0.00000-5.3879711.309735.653571.74705-5.3768611.623895.932263.48690-4.7993011.938056.224705.03589-3.6587912.252216.531556.21187-2.0183612.566376.853536.85353-0.0000012.880537.191376.839402.2222613.194697.545886.104744.4353613.508857.917864.654006.4056813.823018.308172.567377.9015414.137178.717730.000008.7177314.451339.14747-2.826728.6997614.765499.59840-5.641807.7652715.0796410.07156-8.148075.9199215.3938010.56805-10.050813.26571
Feuil1
yYX
Feuil2
Feuil3
MBD0007604D.unknown
MBD0005B89E.unknown
Graph400.32425017250.64716405680.9346547121.15291617561.27200628931.26938521591.13303312430.86377672810.47650013680-0.5246367791-1.0471114439-1.512271324-1.8654183722-2.0581061761-2.0538652793-1.8332475951-1.3975907461-0.7709772213-00.84886230861.69422631622.44685500223.01824692613.33001579293.32315402182.96619460892.26130182731.24744114410-1.3734592153-2.7412581796-3.9590113935-4.8835235265-5.3879655529-5.3768632073-4.7993028772-3.6587863565-2.0183597711-02.22225701044.43535573476.40568043477.90154106598.71772826468.69976466947.76527205535.91991632483.2657061096
yYX
Feuil1
(2)trxy01100.314161.049300.997940.324250.628321.101020.890740.647160.942481.155300.679070.934651.256641.212250.374611.152921.570801.272010.000001.272011.884961.33471-0.412451.269392.199111.40051-0.823201.133032.513271.46954-1.188890.863782.827431.54199-1.466520.476503.141591.61800-1.618000.000003.455751.69776-1.61467-0.524643.769911.78145-1.44123-1.047114.084071.86927-1.09873-1.512274.398231.96142-0.60611-1.865424.712392.05811-0.00000-2.058115.026552.159560.66734-2.053875.340712.266021.33193-1.833255.654872.377721.92362-1.397595.969032.494932.37282-0.770986.283192.617922.61792-0.000006.597342.746982.612530.848866.911502.882392.331901.694237.225663.024481.777742.446867.539823.173570.980693.018257.853983.330020.000003.330028.168143.49417-1.079763.323158.482303.66642-2.155072.966198.796463.84716-3.112412.261309.110624.03680-3.839231.247449.424784.23580-4.235800.000009.738944.44461-4.22707-1.3734610.053104.66371-3.77302-2.7412610.367264.89361-2.87639-3.9590110.681425.13484-1.58675-4.8835210.995575.38797-0.00000-5.3879711.309735.653571.74705-5.3768611.623895.932263.48690-4.7993011.938056.224705.03589-3.6587912.252216.531556.21187-2.0183612.566376.853536.85353-0.0000012.880537.191376.839402.2222613.194697.545886.104744.4353613.508857.917864.654006.4056813.823018.308172.567377.9015414.137178.717730.000008.7177314.451339.14747-2.826728.6997614.765499.59840-5.641807.7652715.0796410.07156-8.148075.9199215.3938010.56805-10.050813.26571
Feuil1 (2)
yYX
Feuil1trxy01100.314161.049300.997940.324250.628321.101020.890740.647160.942481.155300.679070.934651.256641.212250.374611.152921.570801.272010.000001.272011.884961.33471-0.412451.269392.199111.40051-0.823201.133032.513271.46954-1.188890.863782.827431.54199-1.466520.476503.141591.61800-1.618000.000003.455751.69776-1.61467-0.524643.769911.78145-1.44123-1.047114.084071.86927-1.09873-1.512274.398231.96142-0.60611-1.865424.712392.05811-0.00000-2.058115.026552.159560.66734-2.053875.340712.266021.33193-1.833255.654872.377721.92362-1.397595.969032.494932.37282-0.770986.283192.617922.61792-0.000006.597342.746982.612530.848866.911502.882392.331901.694237.225663.024481.777742.446867.539823.173570.980693.018257.853983.330020.000003.330028.168143.49417-1.079763.323158.482303.66642-2.155072.966198.796463.84716-3.112412.261309.110624.03680-3.839231.247449.424784.23580-4.235800.000009.738944.44461-4.22707-1.3734610.053104.66371-3.77302-2.7412610.367264.89361-2.87639-3.9590110.681425.13484-1.58675-4.8835210.995575.38797-0.00000-5.3879711.309735.653571.74705-5.3768611.623895.932263.48690-4.7993011.938056.224705.03589-3.6587912.252216.531556.21187-2.0183612.566376.853536.85353-0.0000012.880537.191376.839402.2222613.194697.545886.104744.4353613.508857.917864.654006.4056813.823018.308172.567377.9015414.137178.717730.000008.7177314.451339.14747-2.826728.6997614.765499.59840-5.641807.7652715.0796410.07156-8.148075.9199215.3938010.56805-10.050813.26571
Feuil1
yYX
Feuil2
Feuil3
MBD0007604D.unknown
MBD0005B89E.unknown
Graph400.32425017250.64716405680.9346547121.15291617561.27200628931.26938521591.13303312430.86377672810.47650013680-0.5246367791-1.0471114439-1.512271324-1.8654183722-2.0581061761-2.0538652793-1.8332475951-1.3975907461-0.7709772213-00.84886230861.69422631622.44685500223.01824692613.33001579293.32315402182.96619460892.26130182731.24744114410-1.3734592153-2.7412581796-3.9590113935-4.8835235265-5.3879655529-5.3768632073-4.7993028772-3.6587863565-2.0183597711-02.22225701044.43535573476.40568043477.90154106598.71772826468.69976466947.76527205535.91991632483.2657061096
yYX
Feuil1
(2)trxy01100.314161.049300.997940.324250.628321.101020.890740.647160.942481.155300.679070.934651.256641.212250.374611.152921.570801.272010.000001.272011.884961.33471-0.412451.269392.199111.40051-0.823201.133032.513271.46954-1.188890.863782.827431.54199-1.466520.476503.141591.61800-1.618000.000003.455751.69776-1.61467-0.524643.769911.78145-1.44123-1.047114.084071.86927-1.09873-1.512274.398231.96142-0.60611-1.865424.712392.05811-0.00000-2.058115.026552.159560.66734-2.053875.340712.266021.33193-1.833255.654872.377721.92362-1.397595.969032.494932.37282-0.770986.283192.617922.61792-0.000006.597342.746982.612530.848866.911502.882392.331901.694237.225663.024481.777742.446867.539823.173570.980693.018257.853983.330020.000003.330028.168143.49417-1.079763.323158.482303.66642-2.155072.966198.796463.84716-3.112412.261309.110624.03680-3.839231.247449.424784.23580-4.235800.000009.738944.44461-4.22707-1.3734610.053104.66371-3.77302-2.7412610.367264.89361-2.87639-3.9590110.681425.13484-1.58675-4.8835210.995575.38797-0.00000-5.3879711.309735.653571.74705-5.3768611.623895.932263.48690-4.7993011.938056.224705.03589-3.6587912.252216.531556.21187-2.0183612.566376.853536.85353-0.0000012.880537.191376.839402.2222613.194697.545886.104744.4353613.508857.917864.654006.4056813.823018.308172.567377.9015414.137178.717730.000008.7177314.451339.14747-2.826728.6997614.765499.59840-5.641807.7652715.0796410.07156-8.148075.9199215.3938010.56805-10.050813.26571
Feuil1 (2)
yYX
Feuil1trxy01100.314161.049300.997940.324250.628321.101020.890740.647160.942481.155300.679070.934651.256641.212250.374611.152921.570801.272010.000001.272011.884961.33471-0.412451.269392.199111.40051-0.823201.133032.513271.46954-1.188890.863782.827431.54199-1.466520.476503.141591.61800-1.618000.000003.455751.69776-1.61467-0.524643.769911.78145-1.44123-1.047114.084071.86927-1.09873-1.512274.398231.96142-0.60611-1.865424.712392.05811-0.00000-2.058115.026552.159560.66734-2.053875.340712.266021.33193-1.833255.654872.377721.92362-1.397595.969032.494932.37282-0.770986.283192.617922.61792-0.000006.597342.746982.612530.848866.911502.882392.331901.694237.225663.024481.777742.446867.539823.173570.980693.018257.853983.330020.000003.330028.168143.49417-1.079763.323158.482303.66642-2.155072.966198.796463.84716-3.112412.261309.110624.03680-3.839231.247449.424784.23580-4.235800.000009.738944.44461-4.22707-1.3734610.053104.66371-3.77302-2.7412610.367264.89361-2.87639-3.9590110.681425.13484-1.58675-4.8835210.995575.38797-0.00000-5.3879711.309735.653571.74705-5.3768611.623895.932263.48690-4.7993011.938056.224705.03589-3.6587912.252216.531556.21187-2.0183612.566376.853536.85353-0.0000012.880537.191376.839402.2222613.194697.545886.104744.4353613.508857.917864.654006.4056813.823018.308172.567377.9015414.137178.717730.000008.7177314.451339.14747-2.826728.6997614.765499.59840-5.641807.7652715.0796410.07156-8.148075.9199215.3938010.56805-10.050813.26571
Feuil1
yYX
Feuil2
Feuil3
MBD0007604D.unknown
MBD0005B89E.unknown
Graph400.32425017250.64716405680.9346547121.15291617561.27200628931.26938521591.13303312430.86377672810.47650013680-0.5246367791-1.0471114439-1.512271324-1.8654183722-2.0581061761-2.0538652793-1.8332475951-1.3975907461-0.7709772213-00.84886230861.69422631622.44685500223.01824692613.33001579293.32315402182.96619460892.26130182731.24744114410-1.3734592153-2.7412581796-3.9590113935-4.8835235265-5.3879655529-5.3768632073-4.7993028772-3.6587863565-2.0183597711-02.22225701044.43535573476.40568043477.90154106598.71772826468.69976466947.76527205535.91991632483.2657061096
yYX
Feuil1
(2)trxy01100.314161.049300.997940.324250.628321.101020.890740.647160.942481.155300.679070.934651.256641.212250.374611.152921.570801.272010.000001.272011.884961.33471-0.412451.269392.199111.40051-0.823201.133032.513271.46954-1.188890.863782.827431.54199-1.466520.476503.141591.61800-1.618000.000003.455751.69776-1.61467-0.524643.769911.78145-1.44123-1.047114.084071.86927-1.09873-1.512274.398231.96142-0.60611-1.865424.712392.05811-0.00000-2.058115.026552.159560.66734-2.053875.340712.266021.33193-1.833255.654872.377721.92362-1.397595.969032.494932.37282-0.770986.283192.617922.61792-0.000006.597342.746982.612530.848866.911502.882392.331901.694237.225663.024481.777742.446867.539823.173570.980693.018257.853983.330020.000003.330028.168143.49417-1.079763.323158.482303.66642-2.155072.966198.796463.84716-3.112412.261309.110624.03680-3.839231.247449.424784.23580-4.235800.000009.738944.44461-4.22707-1.3734610.053104.66371-3.77302-2.7412610.367264.89361-2.87639-3.9590110.681425.13484-1.58675-4.8835210.995575.38797-0.00000-5.3879711.309735.653571.74705-5.3768611.623895.932263.48690-4.7993011.938056.224705.03589-3.6587912.252216.531556.21187-2.0183612.566376.853536.85353-0.0000012.880537.191376.839402.2222613.194697.545886.104744.4353613.508857.917864.654006.4056813.823018.308172.567377.9015414.137178.717730.000008.7177314.451339.14747-2.826728.6997614.765499.59840-5.641807.7652715.0796410.07156-8.148075.9199215.3938010.56805-10.050813.26571
Feuil1 (2)
yYX
Feuil1trxy01100.314161.049300.997940.324250.628321.101020.890740.647160.942481.155300.679070.934651.256641.212250.374611.152921.570801.272010.000001.272011.884961.33471-0.412451.269392.199111.40051-0.823201.133032.513271.46954-1.188890.863782.827431.54199-1.466520.476503.141591.61800-1.618000.000003.455751.69776-1.61467-0.524643.769911.78145-1.44123-1.047114.084071.86927-1.09873-1.512274.398231.96142-0.60611-1.865424.712392.05811-0.00000-2.058115.026552.159560.66734-2.053875.340712.266021.33193-1.833255.654872.377721.92362-1.397595.969032.494932.37282-0.770986.283192.617922.61792-0.000006.597342.746982.612530.848866.911502.882392.331901.694237.225663.024481.777742.446867.539823.173570.980693.018257.853983.330020.000003.330028.168143.49417-1.079763.323158.482303.66642-2.155072.966198.796463.84716-3.112412.261309.110624.03680-3.839231.247449.424784.23580-4.235800.000009.738944.44461-4.22707-1.3734610.053104.66371-3.77302-2.7412610.367264.89361-2.87639-3.9590110.681425.13484-1.58675-4.8835210.995575.38797-0.00000-5.3879711.309735.653571.74705-5.3768611.623895.932263.48690-4.7993011.938056.224705.03589-3.6587912.252216.531556.21187-2.0183612.566376.853536.85353-0.0000012.880537.191376.839402.2222613.194697.545886.104744.4353613.508857.917864.654006.4056813.823018.308172.567377.9015414.137178.717730.000008.7177314.451339.14747-2.826728.6997614.765499.59840-5.641807.7652715.0796410.07156-8.148075.9199215.3938010.56805-10.050813.26571
Feuil1
yYX
Feuil2
Feuil3
MBD0007604D.unknown
MBD0005B89E.unknown
Graph400.32425017250.64716405680.9346547121.15291617561.27200628931.26938521591.13303312430.86377672810.47650013680-0.5246367791-1.0471114439-1.512271324-1.8654183722-2.0581061761-2.0538652793-1.8332475951-1.3975907461-0.7709772213-00.84886230861.69422631622.44685500223.01824692613.33001579293.32315402182.96619460892.26130182731.24744114410-1.3734592153-2.7412581796-3.9590113935-4.8835235265-5.3879655529-5.3768632073-4.7993028772-3.6587863565-2.0183597711-02.22225701044.43535573476.40568043477.90154106598.71772826468.69976466947.76527205535.91991632483.2657061096
yYX
Feuil1
(2)trxy01100.314161.049300.997940.324250.628321.101020.890740.647160.942481.155300.679070.934651.256641.212250.374611.152921.570801.272010.000001.272011.884961.33471-0.412451.269392.199111.40051-0.823201.133032.513271.46954-1.188890.863782.827431.54199-1.466520.476503.141591.61800-1.618000.000003.455751.69776-1.61467-0.524643.769911.78145-1.44123-1.047114.084071.86927-1.09873-1.512274.398231.96142-0.60611-1.865424.712392.05811-0.00000-2.058115.026552.159560.66734-2.053875.340712.266021.33193-1.833255.654872.377721.92362-1.397595.969032.494932.37282-0.770986.283192.617922.61792-0.000006.597342.746982.612530.848866.911502.882392.331901.694237.225663.024481.777742.446867.539823.173570.980693.018257.853983.330020.000003.330028.168143.49417-1.079763.323158.482303.66642-2.155072.966198.796463.84716-3.112412.261309.110624.03680-3.839231.247449.424784.23580-4.235800.000009.738944.44461-4.22707-1.3734610.053104.66371-3.77302-2.7412610.367264.89361-2.87639-3.9590110.681425.13484-1.58675-4.8835210.995575.38797-0.00000-5.3879711.309735.653571.74705-5.3768611.623895.932263.48690-4.7993011.938056.224705.03589-3.6587912.252216.531556.21187-2.0183612.566376.853536.85353-0.0000012.880537.191376.839402.2222613.194697.545886.104744.4353613.508857.917864.654006.4056813.823018.308172.567377.9015414.137178.717730.000008.7177314.451339.14747-2.826728.6997614.765499.59840-5.641807.7652715.0796410.07156-8.148075.9199215.3938010.56805-10.050813.26571
Feuil1 (2)
yYX
Feuil1trxy01100.314161.049300.997940.324250.628321.101020.890740.647160.942481.155300.679070.934651.256641.212250.374611.152921.570801.272010.000001.272011.884961.33471-0.412451.269392.199111.40051-0.823201.133032.513271.46954-1.188890.863782.827431.54199-1.466520.476503.141591.61800-1.618000.000003.455751.69776-1.61467-0.524643.769911.78145-1.44123-1.047114.084071.86927-1.09873-1.512274.398231.96142-0.60611-1.865424.712392.05811-0.00000-2.058115.026552.159560.66734-2.053875.340712.266021.33193-1.833255.654872.377721.92362-1.397595.969032.494932.37282-0.770986.283192.617922.61792-0.000006.597342.746982.612530.848866.911502.882392.331901.694237.225663.024481.777742.446867.539823.173570.980693.018257.853983.330020.000003.330028.168143.49417-1.079763.323158.482303.66642-2.155072.966198.796463.84716-3.112412.261309.110624.03680-3.839231.247449.424784.23580-4.235800.000009.738944.44461-4.22707-1.3734610.053104.66371-3.77302-2.7412610.367264.89361-2.87639-3.9590110.681425.13484-1.58675-4.8835210.995575.38797-0.00000-5.3879711.309735.653571.74705-5.3768611.623895.932263.48690-4.7993011.938056.224705.03589-3.6587912.252216.531556.21187-2.0183612.566376.853536.85353-0.0000012.880537.191376.839402.2222613.194697.545886.104744.4353613.508857.917864.654006.4056813.823018.308172.567377.9015414.137178.717730.000008.7177314.451339.14747-2.826728.6997614.765499.59840-5.641807.7652715.0796410.07156-8.148075.9199215.3938010.56805-10.050813.26571
Feuil1
yYX
Feuil2
Feuil3
MBD0007604D.unknown
MBD0005B89E.unknown
Graph400.32425017250.64716405680.9346547121.15291617561.27200628931.26938521591.13303312430.86377672810.47650013680-0.5246367791-1.0471114439-1.512271324-1.8654183722-2.0581061761-2.0538652793-1.8332475951-1.3975907461-0.7709772213-00.84886230861.69422631622.44685500223.01824692613.33001579293.32315402182.96619460892.26130182731.24744114410-1.3734592153-2.7412581796-3.9590113935-4.8835235265-5.3879655529-5.3768632073-4.7993028772-3.6587863565-2.0183597711-02.22225701044.43535573476.40568043477.90154106598.71772826468.69976466947.76527205535.91991632483.2657061096
yYX
Feuil1
(2)trxy01100.314161.049300.997940.324250.628321.101020.890740.647160.942481.155300.679070.934651.256641.212250.374611.152921.570801.272010.000001.272011.884961.33471-0.412451.269392.199111.40051-0.823201.133032.513271.46954-1.188890.863782.827431.54199-1.466520.476503.141591.61800-1.618000.000003.455751.69776-1.61467-0.524643.769911.78145-1.44123-1.047114.084071.86927-1.09873-1.512274.398231.96142-0.60611-1.865424.712392.05811-0.00000-2.058115.026552.159560.66734-2.053875.340712.266021.33193-1.833255.654872.377721.92362-1.397595.969032.494932.37282-0.770986.283192.617922.61792-0.000006.597342.746982.612530.848866.911502.882392.331901.694237.225663.024481.777742.446867.539823.173570.980693.018257.853983.330020.000003.330028.168143.49417-1.079763.323158.482303.66642-2.155072.966198.796463.84716-3.112412.261309.110624.03680-3.839231.247449.424784.23580-4.235800.000009.738944.44461-4.22707-1.3734610.053104.66371-3.77302-2.7412610.367264.89361-2.87639-3.9590110.681425.13484-1.58675-4.8835210.995575.38797-0.00000-5.3879711.309735.653571.74705-5.3768611.623895.932263.48690-4.7993011.938056.224705.03589-3.6587912.252216.531556.21187-2.0183612.566376.853536.85353-0.0000012.880537.191376.839402.2222613.194697.545886.104744.4353613.508857.917864.654006.4056813.823018.308172.567377.9015414.137178.717730.000008.7177314.451339.14747-2.826728.6997614.765499.59840-5.641807.7652715.0796410.07156-8.148075.9199215.3938010.56805-10.050813.26571
Feuil1 (2)
yYX
Feuil1trxy01100.314161.049300.997940.324250.628321.101020.890740.647160.942481.155300.679070.934651.256641.212250.374611.152921.570801.272010.000001.272011.884961.33471-0.412451.269392.199111.40051-0.823201.133032.513271.46954-1.188890.863782.827431.54199-1.466520.476503.141591.61800-1.618000.000003.455751.69776-1.61467-0.524643.769911.78145-1.44123-1.047114.084071.86927-1.09873-1.512274.398231.96142-0.60611-1.865424.712392.05811-0.00000-2.058115.026552.159560.66734-2.053875.340712.266021.33193-1.833255.654872.377721.92362-1.397595.969032.494932.37282-0.770986.283192.617922.61792-0.000006.597342.746982.612530.848866.911502.882392.331901.694237.225663.024481.777742.446867.539823.173570.980693.018257.853983.330020.000003.330028.168143.49417-1.079763.323158.482303.66642-2.155072.966198.796463.84716-3.112412.261309.110624.03680-3.839231.247449.424784.23580-4.235800.000009.738944.44461-4.22707-1.3734610.053104.66371-3.77302-2.7412610.367264.89361-2.87639-3.9590110.681425.13484-1.58675-4.8835210.995575.38797-0.00000-5.3879711.309735.653571.74705-5.3768611.623895.932263.48690-4.7993011.938056.224705.03589-3.6587912.252216.531556.21187-2.0183612.566376.853536.85353-0.0000012.880537.191376.839402.2222613.194697.545886.104744.4353613.508857.917864.654006.4056813.823018.308172.567377.9015414.137178.717730.000008.7177314.451339.14747-2.826728.6997614.765499.59840-5.641807.7652715.0796410.07156-8.148075.9199215.3938010.56805-10.050813.26571
Feuil1
yYX
Feuil2
Feuil3
MBD0007604D.unknown
MBD0005B89E.unknown
Graph400.32425017250.64716405680.9346547121.15291617561.27200628931.26938521591.13303312430.86377672810.47650013680-0.5246367791-1.0471114439-1.512271324-1.8654183722-2.0581061761-2.0538652793-1.8332475951-1.3975907461-0.7709772213-00.84886230861.69422631622.44685500223.01824692613.33001579293.32315402182.96619460892.26130182731.24744114410-1.3734592153-2.7412581796-3.9590113935-4.8835235265-5.3879655529-5.3768632073-4.7993028772-3.6587863565-2.0183597711-02.22225701044.43535573476.40568043477.90154106598.71772826468.69976466947.76527205535.91991632483.2657061096
yYX
Feuil1
(2)trxy01100.314161.049300.997940.324250.628321.101020.890740.647160.942481.155300.679070.934651.256641.212250.374611.152921.570801.272010.000001.272011.884961.33471-0.412451.269392.199111.40051-0.823201.133032.513271.46954-1.188890.863782.827431.54199-1.466520.476503.141591.61800-1.618000.000003.455751.69776-1.61467-0.524643.769911.78145-1.44123-1.047114.084071.86927-1.09873-1.512274.398231.96142-0.60611-1.865424.712392.05811-0.00000-2.058115.026552.159560.66734-2.053875.340712.266021.33193-1.833255.654872.377721.92362-1.397595.969032.494932.37282-0.770986.283192.617922.61792-0.000006.597342.746982.612530.848866.911502.882392.331901.694237.225663.024481.777742.446867.539823.173570.980693.018257.853983.330020.000003.330028.168143.49417-1.079763.323158.482303.66642-2.155072.966198.796463.84716-3.112412.261309.110624.03680-3.839231.247449.424784.23580-4.235800.000009.738944.44461-4.22707-1.3734610.053104.66371-3.77302-2.7412610.367264.89361-2.87639-3.9590110.681425.13484-1.58675-4.8835210.995575.38797-0.00000-5.3879711.309735.653571.74705-5.3768611.623895.932263.48690-4.7993011.938056.224705.03589-3.6587912.252216.531556.21187-2.0183612.566376.853536.85353-0.0000012.880537.191376.839402.2222613.194697.545886.104744.4353613.508857.917864.654006.4056813.823018.308172.567377.9015414.137178.717730.000008.7177314.451339.14747-2.826728.6997614.765499.59840-5.641807.7652715.0796410.07156-8.148075.9199215.3938010.56805-10.050813.26571
Feuil1 (2)
yYX
Feuil1trxy01100.314161.049300.997940.324250.628321.101020.890740.647160.942481.155300.679070.934651.256641.212250.374611.152921.570801.272010.000001.272011.884961.33471-0.412451.269392.199111.40051-0.823201.133032.513271.46954-1.188890.863782.827431.54199-1.466520.476503.141591.61800-1.618000.000003.455751.69776-1.61467-0.524643.769911.78145-1.44123-1.047114.084071.86927-1.09873-1.512274.398231.96142-0.60611-1.865424.712392.05811-0.00000-2.058115.026552.159560.66734-2.053875.340712.266021.33193-1.833255.654872.377721.92362-1.397595.969032.494932.37282-0.770986.283192.617922.61792-0.000006.597342.746982.612530.848866.911502.882392.331901.694237.225663.024481.777742.446867.539823.173570.980693.018257.853983.330020.000003.330028.168143.49417-1.079763.323158.482303.66642-2.155072.966198.796463.84716-3.112412.261309.110624.03680-3.839231.247449.424784.23580-4.235800.000009.738944.44461-4.22707-1.3734610.053104.66371-3.77302-2.7412610.367264.89361-2.87639-3.9590110.681425.13484-1.58675-4.8835210.995575.38797-0.00000-5.3879711.309735.653571.74705-5.3768611.623895.932263.48690-4.7993011.938056.224705.03589-3.6587912.252216.531556.21187-2.0183612.566376.853536.85353-0.0000012.880537.191376.839402.2222613.194697.545886.104744.4353613.508857.917864.654006.4056813.823018.308172.567377.9015414.137178.717730.000008.7177314.451339.14747-2.826728.6997614.765499.59840-5.641807.7652715.0796410.07156-8.148075.9199215.3938010.56805-10.050813.26571
Feuil1
yYX
Feuil2
Feuil3
MBD0007604D.unknown
MBD0005B89E.unknown
Graph400.32425017250.64716405680.9346547121.15291617561.27200628931.26938521591.13303312430.86377672810.47650013680-0.5246367791-1.0471114439-1.512271324-1.8654183722-2.0581061761-2.0538652793-1.8332475951-1.3975907461-0.7709772213-00.84886230861.69422631622.44685500223.01824692613.33001579293.32315402182.96619460892.26130182731.24744114410-1.3734592153-2.7412581796-3.9590113935-4.8835235265-5.3879655529-5.3768632073-4.7993028772-3.6587863565-2.0183597711-02.22225701044.43535573476.40568043477.90154106598.71772826468.69976466947.76527205535.91991632483.2657061096
yYX
Feuil1
(2)trxy01100.314161.049300.997940.324250.628321.101020.890740.647160.942481.155300.679070.934651.256641.212250.374611.152921.570801.272010.000001.272011.884961.33471-0.412451.269392.199111.40051-0.823201.133032.513271.46954-1.188890.863782.827431.54199-1.466520.476503.141591.61800-1.618000.000003.455751.69776-1.61467-0.524643.769911.78145-1.44123-1.047114.084071.86927-1.09873-1.512274.398231.96142-0.60611-1.865424.712392.05811-0.00000-2.058115.026552.159560.66734-2.053875.340712.266021.33193-1.833255.654872.377721.92362-1.397595.969032.494932.37282-0.770986.283192.617922.61792-0.000006.597342.746982.612530.848866.911502.882392.331901.694237.225663.024481.777742.446867.539823.173570.980693.018257.853983.330020.000003.330028.168143.49417-1.079763.323158.482303.66642-2.155072.966198.796463.84716-3.112412.261309.110624.03680-3.839231.247449.424784.23580-4.235800.000009.738944.44461-4.22707-1.3734610.053104.66371-3.77302-2.7412610.367264.89361-2.87639-3.9590110.681425.13484-1.58675-4.8835210.995575.38797-0.00000-5.3879711.309735.653571.74705-5.3768611.623895.932263.48690-4.7993011.938056.224705.03589-3.6587912.252216.531556.21187-2.0183612.566376.853536.85353-0.0000012.880537.191376.839402.2222613.194697.545886.104744.4353613.508857.917864.654006.4056813.823018.308172.567377.9015414.137178.717730.000008.7177314.451339.14747-2.826728.6997614.765499.59840-5.641807.7652715.0796410.07156-8.148075.9199215.3938010.56805-10.050813.26571
Feuil1 (2)
yYX
Feuil1trxy01100.314161.049300.997940.324250.628321.101020.890740.647160.942481.155300.679070.934651.256641.212250.374611.152921.570801.272010.000001.272011.884961.33471-0.412451.269392.199111.40051-0.823201.133032.513271.46954-1.188890.863782.827431.54199-1.466520.476503.141591.61800-1.618000.000003.455751.69776-1.61467-0.524643.769911.78145-1.44123-1.047114.084071.86927-1.09873-1.512274.398231.96142-0.60611-1.865424.712392.05811-0.00000-2.058115.026552.159560.66734-2.053875.340712.266021.33193-1.833255.654872.377721.92362-1.397595.969032.494932.37282-0.770986.283192.617922.61792-0.000006.597342.746982.612530.848866.911502.882392.331901.694237.225663.024481.777742.446867.539823.173570.980693.018257.853983.330020.000003.330028.168143.49417-1.079763.323158.482303.66642-2.155072.966198.796463.84716-3.112412.261309.110624.03680-3.839231.247449.424784.23580-4.235800.000009.738944.44461-4.22707-1.3734610.053104.66371-3.77302-2.7412610.367264.89361-2.87639-3.9590110.681425.13484-1.58675-4.8835210.995575.38797-0.00000-5.3879711.309735.653571.74705-5.3768611.623895.932263.48690-4.7993011.938056.224705.03589-3.6587912.252216.531556.21187-2.0183612.566376.853536.85353-0.0000012.880537.191376.839402.2222613.194697.545886.104744.4353613.508857.917864.654006.4056813.823018.308172.567377.9015414.137178.717730.000008.7177314.451339.14747-2.826728.6997614.765499.59840-5.641807.7652715.0796410.07156-8.148075.9199215.3938010.56805-10.050813.26571
Feuil1
yYX
Feuil2
Feuil3
MBD0007604D.unknown
MBD0005B89E.unknown
Graph400.32425017250.64716405680.9346547121.15291617561.27200628931.26938521591.13303312430.86377672810.47650013680-0.5246367791-1.0471114439-1.512271324-1.8654183722-2.0581061761-2.0538652793-1.8332475951-1.3975907461-0.7709772213-00.84886230861.69422631622.44685500223.01824692613.33001579293.32315402182.96619460892.26130182731.24744114410-1.3734592153-2.7412581796-3.9590113935-4.8835235265-5.3879655529-5.3768632073-4.7993028772-3.6587863565-2.0183597711-02.22225701044.43535573476.40568043477.90154106598.71772826468.69976466947.76527205535.91991632483.2657061096
yYX
Feuil1
(2)trxy01100.314161.049300.997940.324250.628321.101020.890740.647160.942481.155300.679070.934651.256641.212250.374611.152921.570801.272010.000001.272011.884961.33471-0.412451.269392.199111.40051-0.823201.133032.513271.46954-1.188890.863782.827431.54199-1.466520.476503.141591.61800-1.618000.000003.455751.69776-1.61467-0.524643.769911.78145-1.44123-1.047114.084071.86927-1.09873-1.512274.398231.96142-0.60611-1.865424.712392.05811-0.00000-2.058115.026552.159560.66734-2.053875.340712.266021.33193-1.833255.654872.377721.92362-1.397595.969032.494932.37282-0.770986.283192.617922.61792-0.000006.597342.746982.612530.848866.911502.882392.331901.694237.225663.024481.777742.446867.539823.173570.980693.018257.853983.330020.000003.330028.168143.49417-1.079763.323158.482303.66642-2.155072.966198.796463.84716-3.112412.261309.110624.03680-3.839231.247449.424784.23580-4.235800.000009.738944.44461-4.22707-1.3734610.053104.66371-3.77302-2.7412610.367264.89361-2.87639-3.9590110.681425.13484-1.58675-4.8835210.995575.38797-0.00000-5.3879711.309735.653571.74705-5.3768611.623895.932263.48690-4.7993011.938056.224705.03589-3.6587912.252216.531556.21187-2.0183612.566376.853536.85353-0.0000012.880537.191376.839402.2222613.194697.545886.104744.4353613.508857.917864.654006.4056813.823018.308172.567377.9015414.137178.717730.000008.7177314.451339.14747-2.826728.6997614.765499.59840-5.641807.7652715.0796410.07156-8.148075.9199215.3938010.56805-10.050813.26571
Feuil1 (2)
yYX
Feuil1trxy01100.314161.049300.997940.324250.628321.101020.890740.647160.942481.155300.679070.934651.256641.212250.374611.152921.570801.272010.000001.272011.884961.33471-0.412451.269392.199111.40051-0.823201.133032.513271.46954-1.188890.863782.827431.54199-1.466520.476503.141591.61800-1.618000.000003.455751.69776-1.61467-0.524643.769911.78145-1.44123-1.047114.084071.86927-1.09873-1.512274.398231.96142-0.60611-1.865424.712392.05811-0.00000-2.058115.026552.159560.66734-2.053875.340712.266021.33193-1.833255.654872.377721.92362-1.397595.969032.494932.37282-0.770986.283192.617922.61792-0.000006.597342.746982.612530.848866.911502.882392.331901.694237.225663.024481.777742.446867.539823.173570.980693.018257.853983.330020.000003.330028.168143.49417-1.079763.323158.482303.66642-2.155072.966198.796463.84716-3.112412.261309.110624.03680-3.839231.247449.424784.23580-4.235800.000009.738944.44461-4.22707-1.3734610.053104.66371-3.77302-2.7412610.367264.89361-2.87639-3.9590110.681425.13484-1.58675-4.8835210.995575.38797-0.00000-5.3879711.309735.653571.74705-5.3768611.623895.932263.48690-4.7993011.938056.224705.03589-3.6587912.252216.531556.21187-2.0183612.566376.853536.85353-0.0000012.880537.191376.839402.2222613.194697.545886.104744.4353613.508857.917864.654006.4056813.823018.308172.567377.9015414.137178.717730.000008.7177314.451339.14747-2.826728.6997614.765499.59840-5.641807.7652715.0796410.07156-8.148075.9199215.3938010.56805-10.050813.26571
Feuil1
yYX
Feuil2
Feuil3
MBD0007604D.unknown
MBD0005B89E.unknown
