• Nie Znaleziono Wyników

Spanningen in waterdichte dijkbekledingen t.g.v. het eigen gewicht en de waterdrukken

N/A
N/A
Protected

Academic year: 2021

Share "Spanningen in waterdichte dijkbekledingen t.g.v. het eigen gewicht en de waterdrukken"

Copied!
24
0
0

Pełen tekst

(1)

CENTRUM VOOR'^HDERZÖEK

W A T E R K E R I N G E N

LABORATORIUM VOOR GRO^sfDMRCHANICA

S T I C i n i N C i W A ' l l i R H O l I W K U N D l c ; LABORA'LORlUM

.^r.'li.ririGEN i n V/ATERDICHTE üIJKBEKLEDINGEN

t e n g e v o l g e v a n h e t

EIGEN GE'.VICHT EN DE WATERDRUKKEN.

•^«^'t, (VoWw^

(2)

L A B O R A T O R I U M V O O R G R O N D M E C H A N I C A

S t i c h t i n g W a t e r l o o p k u n d i g L a b o r a t o r i i i m

SPANNINGEN in WATERDICHTE DIJKBEKLEDINGEN

tengevolge van het

EIGEN GEWICHT en de WATERDRUKKEN

- ^ j *..

1^

'i^f •'••• ï>

Rapport (C)0 10771

• • < *

; Delft, maart I960

:,•'•':" '

. . .

Stieltjesweg 2

Het rapport mag slechts woordelijk en in zijn zin geheel worden

gepu-bliceerd; voor reclame alleen na schriftelijke toestemming. Aanvragen

om advies worden alleen behandeld op voorwaarde, dat de aanvrager

af-stand doet van ieder recht op aansprakelijkstelling terzake van de

Inhoud van het te geven of gegeven advies.

(3)

^ , - • ' • . ; '^ . : • '

nCtclót} /fff f 4l^A/CCH,iy ,^<> MtyCvuz/M^'M^n^y A^thru

4/ftfiy Jie^^ AMA,(yC(Ul '<h^j?éct%éH^Jii^H?Aaymynt4Xy ^ d^^iu^U yciiA^tcy ^teyc H/XA//A^

4t>VitouO^ /uiA y<A,Ky y£eüfoCi/utyl. ir 4<^n'c/^^^ /iïx,uyf,a£^,crnf^4,^. l/i^uy c^ Z^y^

'jf/A^MJLol. „ . - . • - • • " - : ' • .

—j^

'^

: :j f^ /

Q-l/i^^^C/ny ^ /yCify /tQyl<AyCl, olaX'^^A^uy A/.c^-*<^ ^ yU..teAt~. y^^ 44/aA/y(yCCAM,^

{i/AA/L Cku^hu (T^ /pj. i/&^ X >• o 44/tncCL siJz^puo:j',i<y9n<.e.uy oa^ êit /Wtc/eAAXAy^^J: .-^•ortcxHiAy aypyu./,y,i^'^ OCt A^UtACouU. /(M4^y' MA Al/Tt/ÜA^ y^TZijfliyo ace. yU^KAeycCüio

I /1 1. n / ' t I 1$ < <yj. m/c d'tM/du/Aii-u. CTil^i /^A?^IX, au. A'^vAxA^.fi' .44/Tnyt:^ c>ót^y

(4)

AlMMiMA/L)

H /

yUv Ot

- (Uu occ ,, rutyiiu>pie*^ yji/m^dA ouM^y y/tyC ^eiHfiyu/veyiCyr^

yi/CUO JzA^ A^u!ciA>i , AVCCOXJSUUI'I^ yi^tfyt^ .eeAlA AAAyT 0^ ^ÜOUAZ^CCK OAX^tAOt'l:

(A^ y^^^i^U'Xw'*^ Al'^tlAiA -//A y4-Ct,Ci^^cn4Myf^ y(HyU;l£iAd ZuyJ^y. A/i AyC^AAAJy$AAlAtA1Ay^iyff^4^^ ^i^y OU. yii/t^lc/Miy' My^^UAy y{^^\AtHlaA.^my^ '^H/ J ^ J^Cty^A^.A>l. -/IHny^^Ci'UiU. y%yUyOUi^y dg. AA<y OCt^ nAAyHytMyHeyn/ (U,a£AMyi^ ZkyVlyHtyAeA y(A(yH.*A - ^ ^ '

tZAyioClyte. yi^HyQ /U/iTuÓiMy aA-^6C£yóo£, (^tto , oCcuUAy AAiy yU<f.<Atoe^yi/tiy^^ O^UUyO^^^ /i/<y%muJM4AÏyl<AAaL^t^ yty1/V^^>l/C AyC<A^JMA>UU^ ^ y^r^ y/jlyCLe/llA yte€uS^OcayÓ' y^i'^o-t/A. /{AC^m.exMA)C /U^t^ .eAuywo cCete. <iAyU'<Ailck^ /Cc ^i-tAhey&ny ^,0{A&u.y ^

CylAOOAiy yiAf ^ t ^ - É ^ Oioiyt^ /id^ J ^ OC^ A^I^^AyC .CAiy ^/M^ Ay^y^yUW^gyUytnyoo 'KX:V^UX4U£.-ly J/iy CnAAyóo^fyU^yCi XCcyC //ÜVC'A'.

i: lyAiAy luU A/^AyC/HHn AH^ynA Ctt yiA'TX/UytAJtitAtyf^A^iM&i^y AWnyclyCAyU^.fy<Z.a£lU<y ,A/lZyky O) • ^^-^^M^^lU^lé AVthA>{yt HyU. yklA •ei^€HyUACciAf^ ytH(yiu cMA CtteZ /HiAV o^ /C^ykJeAÜi^ OzAlAjUyuy /Uot<u*r^ OtC O^^hHA^fcAyi/e. ^

^AyO ACnA?C&, /t/UAL/ OU. yÓ^-UyCtaUAtf.

.CAyi/

''e, yCiieAt oówu ^/^ 4^4'€'ÜH4AtMli, Otts/ ^ oéz Anu>{jtyi.MAniA>C AMA^ly^^ n^ jcAyOyC'U/y ' ^ , oAi Ott AtMyiytAyllM/xA*A C4t' Oltt^^UAUyCU X. yH/l4ihxAXyiyV&MA>(- yHnruM' •'

l\l = r(/-i-X,)o{ ccn\l' - (' all Y = /IflfU^iyPHmAl^yicA^yi^<^^i^ Olt y^Z,LaAti^i</7.

•LeyiA. yfCiacJAj Ai^yt>(.i A/ihru AUyu ffA/jet£^ i^ro/puymxy^ty cKA-tru yü-tC -^t^f/ttytëyo ^ , ^ i -^iCiyQyiei^l. (KcxyluA^- oCoiny o{yt A^l'U'UhliJl.^XuX^^e, a'.^A>^tvC^uALAeyU.

(5)

I I

N^- O-JoJlAzJ-i^^Z^c^f/j^-jl^) , ...^ .[A\0

M^ Oum/ dl jL^(nytA>iJi>^^^ yCÜ^OMt/Uy^ yK'UCykyf/^ (yLaArA

t^J^N-N,-

ƒ - / / / 7^} dcAif - r^{o)[/^ )c]-h i ^ r ' < ^ / / ^ /-1^^)

rUxAiyUO /^(/inAiA yC'lf^yUj^.OjAUlAy^ 4^^ '^tyC-&t/~CftA{XCM',€*,ly CCt yidA^^tf yUx^ta.,^ JM' Za^oooi. rAAWtffv ymAyiAi^ /V-Uc^M^yi<H^ y4(^<r^dey^^y olc yH<^^yfn.AAiyOliuvcy^ /X

y(y}v QCoHAl^lde. ^ [ j}i>ytyUley/ OUUA.a^£ftAnneuy MA /ÓUyiyZAJtAM Jj OU- tniMU7t^^^.ftAL (y^iy^ yJ^/At^OyUi/yfyd x<o.&t^ '?.eyiï^'(Ay^yr A/iZyyiy oct A/OKA£.i:u^ yi-tc-' oéc yi<A^X'^^*<f /i^Oyi^yM /OAMM .euy (Kt óó^ny oCl OAAn^A/ ylM.ó^ty (Ac .^^pt.e'^yViiÜA^ yl/^x^tt^ 0{j:

yf^yKAtcU^ A<^yVÓ.occyuule. A'M-^HHyy'A^ytAAlAiAM 1/1/^ ytA/^(.aylyC/-P-eny yPi/tnAy^tC Qt^y^Ac

(Ui t = yMl^iMAiA>AAA>^ypAAZiJ7 (jllyC AA^€A(yi(/t4X€ yi'^teAyS^ (d^^ •

1<^ ^ y-(/{/-^ Xy)/Vuy ^ - W (^, AJyCiAMyCÖluyUe yt/^^y*^ (HJ AitL, (^) yUAHnt'/va^/uiyt'iA^y^Ui^i^^ -• _ . .. , '

"^ 'o, ^'=^^^AA^Ai^/1/ü<eAAi^ihnyou aAiAa4<j>ó7^ /U^ZAAA^

Kyud yMAlAlAfHU^n/ A/Hn, '~T~ " 0 , -''^^^AXAA^té A/^^^^^Ai^lhny OU

c/w w > rU<A(4^ijAt^,^^A yty</cvdt .ec*ty eAH/Huzuu /I yCtiJtAA^ty^yi^j <Jlzy{liip^*<A:,tyiA>é

yMyf^yhA .

/ ydoco I//

/i/t Lf€Zdutti<)/l^ÜMA djlAZ, OhMOi^^

- ^ A-^ / . dcu<y .iy> cr. ^ y - rdao iP. ^ iyiyHt.dMAlA.eyCy) y(mA>ÓiAytACyUde^^A Cdi aAy^yy^y HH'il^yOOadèAAXA:^^'£^,vy de. /l^AAfi^ytva IdA^} d^^ AUyC. /y.cA yHyUyUlySriAA OCOyO oct AKAyCicJiA iL ^^mAlyJCCfyuoxdAT> ^yyiy leyütd' ixa^ty dt A^TAAhnud^^ce. /i^<Xypt.y

yCtty Oct AAAAiyu^ /i/a4^A dAA/CayUcd.

(6)

AndldinuOUAlA. /AAtyiyfA yCld AÜVZA,^ (XAAiALOUy^ yCd (de. y^AA^udlttf ApOyt^ yd^^ yzódeyyd^

y{zuUA.t>^ y<-*'dAHyAdd' dad J:f'C>. ..• Ai{iyiuil<Aylc6 /l/^ly^(p • ^ (S) f^^f^ ' •

-.•'i^.v

{^0

ylA/~d£t jMyyuyudt (dlAiAyCdc/^ yiy, (id> MyHtAytde' (f.) yCrv duA aAt^t<y£du.aA.eyC yi^lZ^ty

(M, ^^ hAyCAl.'C(d-H..^1iy . •

AfA4A0^UdA<dcc yttx/i^ (a) lyny(l/J Hv [^J fA^^^Aff o<^ pA^Htu. /fiUtCUvdt oLt' /<^ y^ d^d yfucdduyU^dt dccd yV^tytV (dt yndd^-d^ yKn.-*^ . _

^"^A ; / / - . ./ 7 ydrJ)Mf-'n^-')r

^ayy ""w" H / f ^-^ -^ '^^/t Z^/-^/^ •

"idUndd (dj^ Ayddcd/uddconj A/iKny r-^^^^^y^ j/Auieedd o'Ccnny ou oddté^ (d A/izuy <AA.

y^-eykyUdi*^ ^ doyiyty ylWudC cduc .Ae^^y UuduyCt /iAl4AKA£A^.eyUiA Al/O-tHy de. /HO^ZA^KA^ •. (leA>U-d</£^CC yV'l^At'iyAlmynAM.9 (dec A*ty (d& -{dyüdcdc-ua /^^(/piy ^d,Lod&*^ ' ^

d/dlA, A/Hi'PU /l^fTtd^tnAAygJA^y/ned (^J /y}^ (de ^/(d>^^ . ,., „

ï <:^AiAyl^' AKI>^/U(d y''^^y<Aacdd A(/^ud,i^ doAA*^

(/5j AyUAddo y^yOAlykZAv A/tU^ de. /U^ /i^^yUiAücduy*^ O/AHyCyi/deddl /iMykA-ZAZ-nA^tyPt/f. yjdc &/A>ldcdi AMAAUudt /ttltiA Cd yC*ty AAuJy y/nAytdy^A^i^yi^ dt ylddA>d<H^yiAA(de..

(d^tdinad. xad OUAA oAcdeAy zif^ d^XAt/ y^ne^ f/ij yv^e/ud^fud -^ ^ yA^ ^ AyudACvu CA yUyyiAOAA ^pitd de. ayyiyta.t^ y/fft o/t A^^-xn^^^tJUiApCl^ A/^^tyliy dt

/iy^-Cn^AiMd, dt (iM-otcyCz. ypUoAiywCt >2. X OÓA /tA(d^pUiA (/ij y^eAAAtOiyiy . d^ ded ddiAyyiJlyt/^f^Ci^Adt i/Ad Cc£cto /UOKI /KeyC [A /tA/tfudtAyiA /^Zltde*^, cAutoycy

y^^A/C /(MyU7£d<AkjeyiA.dA. yl^t4cdoi^ylyt/U<JU%,^ yUCteZ/T

cd yf/ad. OU ^AA^u-udA /n<^€dï^dt tPXA-udé. /fa^tuteAK&*xy ilHn> CA^UU yfdxyCtAdc^ yM/<iaAyt/irtny K = /. //e^XA. Ac^lzoyiAAE. y!dd^CiA^ypl'd/u^y :

>H-*.n^ ^^ ^ n i d z(}C(^d'^/J

t„

(7)

toi ei»A i>»L/eJ:nj^-f

dA

dt-„ /CcCü/LuAH.e,*yy yUAOvdl (dt /d^-lAdé^ //AUAi.' dt AMdlUtU^ y/U/>--a/idd Aud (ü) ^ AUy^AlA^yl-idt oÜ<A At^OyHy oCê A^ddnAd AP^n, ^<0. d/A/U. (dcy^yti/^n/dd fyedAt,t<Ady^AL&^

/[yV-iW/LA/tnAy ' ' "

^ ^ .

^^y

=

/ t r

r = r ,

t/Z=o >

yH'A^iAytydd /Pf^ ydtd yt/tfVtdeyC^^f^^ oCaA /dt

AAyiiy yOUy^AfrtXy^'nAtff /troCf^t^ [/f) AJAA/td yKAAynyn&ucy (^^rfiAy^n^^^ . duyO d/Ph/ AH^d. yt(A<ldiA. (dt (idtncytedcuuy /d<AUcd'AudyoAi^^Alt A^tU^y ^/fjAVfOgA'AC^ A^yMAAI^y.

M^nl} y/ytyid hü. H A^tndl yHCA'ftZii.y (dé. i^<2yri^tiyH/z£*^ AtAttru TC A TCi, y/yu^t^ oid. A^de A/UAUff ^ityeA ouu^ yOtrK. yUt /U^c/dt AI/ILAAA^

al AUHyC AkAofUnA^ oClAuy. ^^OJA^ y/A^C^d olt .^;^<2-#«^<>W^^^^^^^?^^'i^^ y<y^ yMdjudtif At ..eCi^ yin^.tC^^.dca AAAd(Z^cd\y^d ALOyUyu/HACyQA^A^Al'^

AiAd"-Ad. A^y^ttyd oCt AH^lA>i^A>Coiyly^duM.f (dad' oCCoAudY ^.teyuy yid/tiAAAyLy'tzynyf-uyt<^i£<y^ AlfAydcljZi^ . //CALA. ACtdytleHATi^ A/wrid^ydiy AM y4ddaAialt yd^7rf(dy^<y£ y&a.£A/^i^ .

iddAnne*^ ^nyiuy^ An>^A. yOy ^t^^

/f-lyf^ 44A/hA/t4^ y}^AUjfyCCfyaAlAylA X^ AU^^AZI ymAidl A^yt^ At/H^iAylAaAAlyi.ü' AÏ^ityity (ACt ylolAduA/ (T, MmAHAtdt. Wjud/i AmnA^t (MtAu (T^ yi^:iAyd^t</id.

AAyyy

^/

/i'

^AtAyK

UyC} yU<Ay^^ Al'iAiruTtA^A/(/C/iAn^Adt<4^^ / ^ - ' / > ^ ' T' /^ ^ d At^ ^'^J • yUAyld AkA(ndd OCAH^AlyCPtAnnAl^ cdad olt a^cdyO, AMta^ (dt AACyKyUAAt^

yiy? (leJuAceA^A (?éad /t - /. 'd'.e ydttty/^ y(/yrddAde^iAXd M^yXAfnAidc ddt A^wliyr^tyKAuAt^ At^^^A^yCi^ 0^) ^Any y^A^^

d^ cdt dyidiAJ AU^yyOAddt ytA^tUlAiAdt y^ ^^AM>d, (diAty yynAhtd'oCA. Akdcdtoü*^ /V^^l^lAi/AKMAd yU/pi/dtyv^, Adtc/td h. > / ^Ay^A-Zeny AytVuCd^ ( ydcAAd^' A ^ -^^J^wé^

yvd{A;doUAyiAU<.f Ogdd^Tuy (doA Aud (t.fudl/IA. A^^^^^^HA^A.^OAAU^eyt^ yOÜ. ACAA (»y&. Actid /2 > / ykAU Zd*^ J.

AfltAAvx.

(8)

•ifÖp,'

4l/^ld^ (VCQ

^j lAjyuyOfC At/'(ddt (dadA*ty -did CtdoAAHAAyHA (lA^yWud yKjSKypiy Ai^indfi^ .

/z- / + lo — ^ - — o^ lo ^ I ': . \. (/<>)

^ ^-^/f . . 'A ;

{.!-(^rdyl y/'l/ndo A..i^//(^(>AylAt dt oditdaytUA X^ ytyUHOAlyKl^tf-^ ^ l^j ~ '^ • ddiddfj Al/mdC yUU/iA/(nrLy .: • , . : .

^' dd—: .••'dr • :• (A

f C - Óa Uy K

Afd

, . :

^...' 'd^fi^^d^l^} •''' '• ^- (^

• nui.f t^yuiy)'

;if /

-//

• ^p/ndctyK, —. ^ ' ^, /lyü Mxyioyyneuy^y/] y/AAffid'

/J ' '^•'•^ • ^ /}

A4<y(ttv/>A'iAl, 'KOAOAVüxhy (A A^y^y OAAXyUAd (jU^^<-^iy<i^y^ y^^^XTudtyny. -dddyt^ A/i)-tny '//^W^dcdoyu^Adt- AylKcOAA^^-i^ /tAeiyt^ A OAyVAAOvd AAi., dcA/ J AlT» fui.. 7.

kduAAdyijL y/yf/ndd A^f>yQA*HAydc€ ou/Au (T^ (j/AAfAU/OyCyP} yiAi. dïy<^-^^ oÜyC&*^ •

fi/yC^AAA/ITL deed, (dad'AÜy O^ t-^X^UAc/^ JU^'I^^AXA dt y^A^AAAxy^-HyCadt ^ A^)

AAdbyO^ud, A^Q (;>y7xA7t^Ayiij' AAOyli/ AAi l^ytdtAodt y^cdyCtACAujf X < O. /uAA yypd^AAAt (?UL'^j (?UlyCAl^ (dl j/^atAUeAiy yfAAl4(Al^ y&C^tytcdeynyyto AAydó.tAud', yi^

/lyfnAr?nAAi<A AtMyhA dd^ (pcdtedTl yUCKy&AuAiy^ yC^/OLOA^yViHn. X ?> O . yCA^t^ Cd Alt y6-^-f}^:deywy yntAhdy oluo y/c<yVA-6i~y AV'-CAOCA AKyUrynymAyuty pAy;-nAycè<,^ y^i/trwCAyt-yy. lAwx. L - O y(y} (T"" = <?~ , ^i^i^^ACTU. yiyi/t^^AyuTt ^i<nxdo

(9)

tyfou,^ -j^ C

(10)

A-i/iif dt ftyCUCU^ yKAtyl^ yfUy^ TC/AC ///^/ffyi^t/t yvr€A€fjtdd

'^/iruyctyi^.

duAduyiAy A ^ ~T , /[^AAdd ,^^»t^ AioduóyUt AoTt ^0 /•> yiAUty QZ- ^ y^Hin. lp~o^fa. A/da/i' Yd(A(i(A^ '^'dn^'^) > dd'dA/Pxny oüd O/A/iid y d c<() d

ytdlAAyiAj (fy^io) APO /dj %/l^J • IMCV L - 0, t» ^AS /l = / -f- d^fJ K J ^

/JfJ-'. dAyptAJidciAf/t AH^Ai'^AizAcAta yv-cdyi(Xyct.o4 (duo Co. / ^ L A//tZAty (dt AH^.AAAyaAüc^ (dct ^yptAHAAJl^,yy) ^y^m^ fT7 A^d f^cd. d^A/^ A(^ yvAA4cff.ey^. ^AJ7 Ay) .^m^ U, A^l, fWA. AleAA/^

/ ' ^^"^ /

d^AA/Ayhy A^ / A^ Atanrv olettyodd AtcuACyice /^ = 4 fd^ d{As K = /^yHd. //'aoAiy ylyOirV d^d aAVid Yd on lA ^tAA-p&i/^^to y^UytylAA^ ^(0/ •^*^ '^^Cj A^ dA.

f -7 " . - '^/^

^

.HyioAA/AAy A/~i/UlAUilAAyH.a / ^ U .

^'^ J yl^ /P(my cCc ^ ^ yiAAA^Cltd/e L - /',J?^fj yodpt/^d /^ = /J^'5'. /id. y^ yd(Xn iJy y^AAe4^4d yU/yiA.&iyiy (7^ fojA^p^y J, 6 7CJ^/()J • /te /ityud/AA^y A/tAAA'(/aAA*U} /Hd''kKy(ly(fd oU(A AACCAKy X Z /L.

>l ^..

/lAAAA/WtA ywjzyfv (TtAS OAdyiêdd yK/tTudey*^ (doyCAj, jZg^.

/H'i^iAM^tyU^ (?^ AAjudd^ (UL ZS ^ ^yHd/iAiUiixtO A(^ay*tA o6t yiAtA.^AHXAA*<jf OCcZ . y7AyUA>AdA;/d^4y3 Amv oCt /OLAy/U/r-itynyruhy^ ATCV tud, df/iAC^ ACt y^A.'ft.^AylyiA ^ cde. /nOy.

^yrLayic itva^

d^t7d7AXynAt.<y*UJ /ie.dn'Ctt/i'

•! dt (?(t AAyUU(£4^ty yfAAiA^,(^CCAAiyi.O JCAd A/D-^ / ^ ' T ; (UudtAOAy)y/^ed MAA /Te. (ldiAU<y& diAcyldy/Hlyt^

d/-yd , è

'^(iA>nyf9ftyiA /VüTJiy ^ ~ J .A> Jyl =' /, /fj

^ J n=

/,}jf .

dtrtny AAyvty y^xA QAAiAyiyiAï /MAtttd/Ju, /dddl {/vd aA.q.fyV-C^iy P~, /ol J Avl^.f dA<K> A

^ / / . / / . / / //f / Ü ^/ 7 ) 7 ).

/Zo yKAAAyf^ /yAHf.AyC</y{C atyKUXAiyk^ AAACnAAU^J y&7A<>AA AMJ (jfyCftAAt^^ ^^ f A ^

A. //.I / ^ ê If è '

//AlATvi y1UAf-&tAA(ylC . ... J,-d'O/d Ol»1^ A/AtOAA77t^y7 A/Afyny 7 A>ff^ (^

yfcTeAfieyfy y'Unridd, yiy} y^HAtd JlATttTeyi, /mzAAy AAAy^ (dc atyf/A^AvrA A(^,4^^.uyCr-9 £yt-r.y (J/lAldced. dt ("/nytAdyUyd/Atyi^. T/Cd A^^^y'^'Ze. A ^ A ^ et/AyQUtydd yiidrxAdtyiyty' AartTXy C^t

^ J A . / 7 /A^ ^ 7 §- / A , ±

AytrU/AAyute /tAA^fntn<y^e. A(A(nriy(H:/AAUyury^ AtAtxtiAUPiy AAAtAAy^ l ^ y f

-1/ f-odzS,. //= J jo=0,ZJ.

//Uddfyiyude A^tlyhy [/jj AU^iTudd (dclAfy d^^/lAdtyt^ Ü, ^An^^^^L- = 0^/(1/+ 0,0 z// r^

(11)

Z7 -f-0,5' " ^= I 7 = ó,zd

'cTlAAAlAOyiAB. Al/t)7od .i^d (/7-J :

dd^J/L + Ó^OZJZ K,

Y- (AO dy

Jj f= /}^y //= J L- 0,ZZS yjjyitdpyind. AlyV-^ridd i'loi.

rr

\y

= OJt/fd -h /^.OJ"// ?c, .

<CJUAAiAUyC yvdTdyC (d^yTAd At/'OyPiA (dt A/tAL -y7y0AA.d.MUt /ÜcylAAyi^y d A.4ty >?T, /idTAUta^d, yUAyÓK. (»JA/^ d!.Ay7 aAyCyt^Adtay.Ayf 4^7 •

y-^^^ ynd/A^iA. ytA^Afylydty^^y AlAOuA d'. X^ .4^ A - J~ dtyC ^..ocyHAyCc^^A j

At/IAAy (fAyCtXAA. AlyiAcojyiAdtyHA / / - J . / ^ (fAyeAiAl y*^ (ledjA/Ai^ yCi(j d : 2^ ^ C ^ZS".

^ Ayi. OCt yVtyKA/AlU^ A/fyj Xty*^ AtTtAyCyPtAdcO' AAAA^.tATALfdyC' ZlAAI^^dAyiy AP(AQyl£Al4yAryHynAyiiy^&'*^.

Ouuty^AAt'imtei^ yfA^mdd d/nC d.e. dedauTyi'Uf yb^rvAytAA dAMy(iiA/iid7Ay /yo atdtAlAyiy^ / dl^ (^ttAty /td/oyCeyiA/U^yyTyéfyuy AtA^^^l^•

CCA.-•{htdty^A/de' ' tt^y dAtd dÓ7yl/AAAte/V aAXyi^y yyciyïvAH..oC</yt. dAlMA7dé7. /K/AAyKZlAOaf*^

-éV.^ lAWld^yU/<ndyV yt/^AAiyiACtAytTedyC c7^ 770"yC7yC<y.d Am-^^AtATi/Kt <td>*iAAA*^.ai^^

7f.

/ / ^

i.7/. X' OA Ayt/^rudyC yteutAfA yTyfy/T yTiddd (/A<Ay(^d. Ad (ilt AAAy/diilf AUHyU/ OU a,AAr(AUyi7 ydtddAuQ' j /7t y-iAJ AyC^f-^TT yCdni/llAdd A>)i AAd AOdouud Ayfyxy OCA A ' ^ yUyOyV yUAAyiy AU- A^TA yCÖ(yU<.<d, /O^tndAAAACd A/u oCt X- AM- V-ayO f'XAt UaAAO^y ^J. 4d(iAiyiy AyAAA dyaycdcC

Ah^tAyt^ATuy AAAdAtAATdiOC d , y^tyfdxAtd AAIfTTh' OU A- ^.AAlUiM^ AJ'..yiy yfdTT. - deyyfH^tUUfA /A>-i<dAtyi^yd . dü^y oCt /C' AyiAyddido' yvt^^yKAynyl (d<d y/AVtrdy /doid', -(Tfi^y (rxAAynAAca

OAAU. AyCtyaynyVA.7yztyHA .A^rt/ y^ACyiAAtA)t.adiA/*iyaAALy /U' ACA(>^tAkA>me^y^ Oct. (lAcrAdeAAdA^^ yHAAAiAy y. yiAcd Al1Ay(£yUu Zyulyy. id7(A, A^ djd CiAAndtAyHyiA A/mnykAAnvtpiAdt.

(iAy<rodd.t.c7eyv,y A7.^ dyiy:) AJ7 CAH^dAL^yr yffd yiuy*fy(dAgg yt/iZyny oddtAt^ V. '

^

/ ^

dd d-^ ^A - / y d y

OA^y ^yi-a.t4yuAy f Z<(yiy^ 0/^ /(/' AfAAAty^-^y^^

(12)

Cyciny 77CAtdjAyCtmyK/de. OfAyt/nd A.eA7uttAt-t^/ (dt

AA/tAtyK/tAAUylTt^yiAllAdydA-hAfA^y ,^t

.J/

(Zoj

y£/t ^^d'f^y^'eytuAAiy'A y/Ut^lyty>iU^y ^ cTct OoOy^y dt ACCAtydt^iHAAyiAOcAXyiye^'yK.y

Ay^^di/Co^fA ^ ;iAf-t

t =

-pf ddy)

/tyf^

y

0^ = -yo yd-yj c^y

^z/j

(j^J

(Z5J

UA 'C - fOZ , oCa^^ (duA f= éa y . AUed ddc .^AAtymoyiAdyC' /dud ^AAiAUyCXATm/jf.d ZAfyny j (7a*A yhu^tA dt AiAUAAH/ti^AAAy7ddt,(Ae'tAA

y^TUyeAlAjrA

y/AlAyLtiA

A^<Atdy (?Ct ydeddcCi^P ^ /KyUAyKfALy Z^^My (do.*^ /y>t^ AA^t^ aAyO£A^tyhA yi<^d^>yu7t AACVH.. 7 Cy^Ai^Zo-fAmAdetAdr,

d*^ (d. yVA7AtAy7.a AA, AyHAdcAuy (de. y/h.AC(yKyüA/yo

ATAAA. /tHKytiy /7CA7AIJ .y7AAAy(A(Hny QAyCdcaAtAud y^cAud £4ty Atud(Ai^ (d7yi <7.iyy (yAAtyt.y

AY 7 . " " ' " ^ ^ ^

X<i^ yniA. y&.l/. y = ^'' .£.ty,y CA^ "A-/•">' . ol'Any

t

f

AyO

(13)

/dyCC T^ÜdinyC (TAiyd,yt/iwi/ did aAAA<>d de- //y77A/d.^AyA. V C^At. 7^ cy ,Ani^^ df. yyyJAiAC-. ynAMl/ATi/Aiey A' AAry yfnAy^A /Z<AuC yfHycHA adlAuA^t*^A AA/ (TeAiA. AyfAlfiyft.c^^

' / ^ / / /r. / , 7 ^ / ^ ^ - J ^

0AA7-(-CAAyt-xA)Cjt yCAiyl^At Ay./d y^Z^M-xAAeAy A/A-01^Ayi£ynAAty /f-eAA{A(AiAmyHy(> A/yOAyH-iryHAi.^

Dc ) 1 If •

/ ^ ^ .

.ICOAA ylyl/~(nAA£yiry. . . . . . .

* • , ' ..V"

^di^y JTC ,yt/HA't4^^ ylAAtrudd dt y{dkJ£^d(Ai^ d/4A7o-(/Al/d ad'f yie- df-eyCaAlyi^ Cccd .ZCt.^. ,ey(AiAlyl7t-AAC', TTtnO-OAAi^y -<5*t^

AAATdyrtr/o fTwddiyiAx/id, AntAb AytoAAUaA-Tj'. /!^nt<!yCaytde7y )P A:y^^. Gr. TTvxy oCc f 7

y/d/iyk'. - deyMy>^yx-7<77<hC^yCo.tid (fAyudAy^^A dt A.^'^.Ai^ydt y^7Alyityrty(yv<.^A' A^^^iyC'^o^ArwyiAtl• AAAadcf) :

d)

4

d/OAl/ly J^ -Ap-lMl

C

Ö y{A)

^^1=

^v;^-^^Ty' -^^.^

dh^^L r

L óy ^ />fj^ ^

^." /d7

^y

^ ^ - / . / / ^ ^ - / ^ . ^ :;,

d^)(7f A.A.

(^ ^

H

(^v

y (2^J

• •••••'• • „ ' '

^

Ae-KyicAAAnMy Ao (d<AQ dcd (tAiyWAmAd O-tOAyl/^yi-ry A>t ^ Ayf-ty -77^ ^AA(AAA(.e. yyAnAAcTtyCuAc. (j/AAyltdA7.l AMAAAIO ddC AAAdy^t WiXOyu/t (A i ^ ^ -AA/yHyfU^y oTcdéyi-^ . H/A dd^dd (dod (T Tyiy AAyi-^ (yAAAAiAAAt*L*t.c*<y9 d/xytiy (TTyviyCeuUry yCeA

O'^ATDAyé-PoAiAy (T = ^f(^l-^y)AO '•''•'•

o; = - ^dll^dlf^\}^ • '• ^

AkiddddAy/üif, (4iy (Z^J aucdi

^ ^ ^ = _ d:dd-^jDo\i[zd'y)(^cr)^ + A (fo)

yfrvc^Aidi Alr/yColoAu^ yuvudeyi^ cuJyiA^ ydj^ /lAAOAt/iA/iycn. /'. A. tri, [zd -A-I^ cTaOAy

-— = (^ (lAAAd/iAy(Hyi\A yfia^A AAVude^-^ •'

^^ s , • . '•

(14)

^(pj/l/Cta/vodc yTycAwa^i^ pttdd ' Z (ACC = -yov^jd-yj j(^y -t-^ 7. \ ....'• . C^7

yfdh^y 7 Ay^y 3 /CC^ y^tAAdAu^ APUfA/xTiAy OU. -^AtyUud' Al/l^ovUAOcayuTtyiA A/^^tn. U-O y^AAcdCchuyuAoC/tvriAdeyi-ry. d^O(Aiyu (dt (ly7(>£de^A>^eyi^ Acta/,

''HAC iTAty > "y^yy*^ A, Ap>y IA ytAWv y=o (XAtyiAyutnd- 777 y7d-tyU)d'A*<- (d»yC

/ / / / . / /- A ^ • . . A/: / A A.

71 yidU

/?Cc yu^7d7d<Ctiy9 .Ati^ /Oi-CAvtyCayUe (yk- }c - A^.- y - ^ylcyyCl*^ AyndtylOAXAldj OCct /pet éTttyt^ynTt-^.pi't^eyideyUyi-ijy y/i^ /de /uedyUAdcynj^ ^fited yiAeAytiAAiA<d7 • . dinudMy OAZyfA cTt OyiApAi-HA/ynddid OyycC^AACyK. y^ /d^>-ty^^ yKyCC-HynA^^ O/Ca-i^/ yOlTK. ^dd A(ZyyxAdtAtHAdi/OLaAV(yA.viA y{A^AAAAAt>Ayu7 Ai/iTxAÓA^ ' -A^^. ... - . .

y = 0 (A^o „ - 7 V ; . , , ; . •. • '-... (Jij

ludi l^j M^ ^jzj /tdr^yl aóu^ /t = 3 = Oy /U^OUQAAPH^^J^ O&^AO ::

Z (dcc = - (?^ ^^ (Zjd-y)J<7t^ dy •> '•• ' (ii

idA&[fA} yi/oTad /dad Z éf(-C AAOOt^ yftAcd

/AAOUA oCt O^lACt^Ayide, /tHl^^ oCe- 'yMcTtycCcT^ ZyO^lAidHTyacTC doAyptAtyf*vA yUi'^C Pi d i/7l-^ y CUUiy' oCt yf<ruiyKy/iAtdz- '^C(AAU'<yd 7io(yPA dtpAAUn^ y/i/ITude^^ OU>d\ AAiyidceyUj cdl. yMcTTcCuxyy Aiyiyu76(j(z- (lAAf^udiAtAfA^^A yot/xAC -<r*ty aAy(yn.y de yU-(n>tAtAl<7dc. AtAlytA y^y AtaduAd yti/truTè' AtA(7ly7Q^.AdAnAA7e-tiA^ /tAtykAyytt*tyf1A*UU^-^.y .AAv OCt

yHdAeAdü^yY APtAlAylAilAdyd yyyiA^<[Ayt^ At-t^iruTeyt-^. d/A^Atyyiy oOyCUL dtTdddM-a (lAtAAy AAAduMAfATAtt 7C\4lcddtuy ydtAAC /té- AH^e/A^dócOyiyxy .A*^ (dL^ityU^AAAcd^A. AHAnA1-H.aAt.

<l77Mydu/AA^^ A/d yU<AAytc7tfy y/A/d ddC (/AyO^^^ud yOi>A. O/A. AyOyytynATAAj

-^ //-

/ / / / ^ / /Ar

V-yt'tyUCAyU/yuf Ayfu Ajeyt\y yMCyCtCCoiyt.^ At/üyl^ AAHAyCcjrA. itAl.ntAAAii/3/^e4A..y HAL .it yoM^

Aytv dt yOCy^dtdAt^A/ AlA(AyiA AAAiy Atducd A/tAyuu

A/^TUTtyiy AAty{yli^-6nAd<ygA. dyUACdy/Cyiy.

yjLZA}fyd^>^iytyd /HAindd AAHA y^^dyudTnya /Kt, (Tddt (7 Cny 7ei-u)yUy (t [ OA-yyieATt^y ytayK.p^ TCeA daduA/j, 0:£dty^t^ ^ .A&t .£A^-lyLy

(15)

/yad<yU>l ym/d y^Ayl^OiAA y . ydlt ytAiAydoAly^AftO A/OA^ (d y/fed^dc^ At^ (dt

AiAyid/yKyO AAOyi-A JjA üdocd y/-(A(ru7d (?UA*iA ^/tAAdt yC-odldtiAde^^ ytAuddH.cy/7ttd, y{.U. OU^ AAMy AnH/U OCJL yiAAOiTycy (d^WidcyttxAC oCetd^ ol<tcn. .£AA^ AuAAUyUAAtAA-yty.

d>\/ y/d/At^'^^ ^ /^ y ' ^ - ^ ///iAAyHAMAlAO , A^^^tA^yAfu) At IroAATAAA/A 'ÏCCyCtCt^ A/iZ-pLy /dt

/ iO / /A

A-fyty

(de.

y(/AytAdC(XAiyC<Uyt<y(AA-sy>y

&UAy^aAAjUA>t-p^y. ^ ^ ^ AAdcdtdAK-a AjylAtridy /*t. il' UóddTy AmAAC^^AA/i:» A-tCd' (U4A\tJd OcaynAyyytAAkyU^^,, /undad y/^AUA, AAud tAyiw /l/doyk. /deA7(Hyn^A3idie. -/U^t^ddl^ JAAAyMtyU^ yyiAAAj/yp(/triy<dei-,y. . - .-.

•aö>.(

1

ld.

f.

15.

dx. t /CA. AyiAe^'t^lvCy(ALüyt^<yU2AyCudi^ po AtyPly y ; ' dt- £0 eyc9y

0?J

^^

^.-^t'T)t. ^ r%

diy(ny o/e. y^Ai^OXAH^Cl A/lOyÜ.- (dd(AlAyyuUcc/Atlda^ y» AotylAtATHUuA dAiAMyny ^A7^tny?^^7AU4<A .tt^ yi*tAA^1Ai-f•^ yi-(^ttAiA

AtA(nd7 CUlA^ZmAfrt&t^ oUy oCt yMoSuTcTya de-pC^cad AiU .CAt^ ydA-ut^o:.e£>t^_. yy^iAduirp A7lyidf:^td yff^Adt^lAAAAld:

(m

ado

y- ¥ ^ t^'y) r~

y

èz ' / / ^y

^A

'^= Z [ ^y "^

óic-^AAAt^. -Xftu ^AHyAC A A L ^ ^ ^ (^^my:AU.i<yUf^y yHhlAAAAi.yt<rmAyU^ dCdnU, it^/^ " ^ AiA.y V ty^^.- (d Ay(/daAA7A.ud(d y£A<yrtynAy<A /^i/tnA/e^^ ••

(16)

&o

AUcTldc/tdct y</ayiytA [^Sj, [}^J€4^[^J yüo [Sé) A>^y{sy.) f^Ctd^ . . / ' . . . '.' ..

A ] dn ^ J du. , /j{ i_ / y _ . , • . ' . ,

^vf'' -' ^' 7iydd'/rf " •• •."• • ^^"

A/yU.^yytAynAtAÏt' /ÏACCyHy 'tAyi.ccT' C^ZJA*W [^ijyTtA/AyidC '• ...

i CATdcyteyiyty} AoFu OCe AyddjA^^^ ///ciytAy oTeZct

A<.-ddVmAyn^yiAdA. /PAAAfAyCTkAT/y A/VAAy ylt QAl^AlyiyLA, ytA/Xfudti^ AAl4d (dt ALA:cyt^Ai/" yViy(y\AAAAyayldeytAy yiAAAjUAiAUiyiAy ytylACCAHy^yCCO*-^ /dt (ydA-iyiAPAÏ tnAhtCy/ZitCOAlAvxy .

AA^ttTyj y^AAcOy ifA^ttodyt^ yiA^Xhy ^

^ = 0 /C=o .

... , (^^J

X = a. /A^o C-.. . 7 C^^j

l/CAird^T} (dt yU^rvtiAuyAtt yZ/fCypu (dt. y^tykyCtAuyi-rya yéyAty>tynA7AyiyC<r(yJ, //^(xiyC (ky/o AAMiy/difiyo^yKAOAAyiATt oyCiyv-tyd •

ydy (Ty.o .

fiy)

\y =d

T = 0

.

(laj

l/y<f^ OU. y^yiAUn/Ttdt AAOylA/ OCt /VAyKAeATl*^ yU^t^cld ()(AZ^^AyAftAyhtAyy^.y o/AXyC ddC yO^TyOyt^ yinAAAvu 0Ct AAuTüTcyAXyfVftoi^ T .^tty (dt AMyiyyToudAA^iyO //C

^ytyhfAA7iy2AAyiA7 yTyiAK-a y/A/tru/Ctyv^y /Uu TuAy AT, lt,aA.<A4Ai- h ^AOAA/^e-u/ oTTcxyyA/Ut^y-.

1 iydd TC^^^AT^TV oTad A/AtAO-xtAAAA AU/vudd

/kAlyUAhe^tAfttAyhA /dod OU AAttAyCoUldiAtxAr

^ JudTi y (d^^cTy o/ad yyuA. odTcmp /^^a;*y OCt

CAAi.

r,

^;. C, yQ^AldoAtdhA' -'HOAttyUUUty Arv(htd' AA^tAiATeytA •' • . oud' oCt AyuTiAAdtyuAyt -^CACcudyiAyCiyyvi-vcTa

yCAfttdeyt-xA o^ dAAytceAct y/AAccAxyi-ott /- ^ A<> l/AAATuy yUAtndd A/^^'lAyiyiy'o/lAAldeycd (Ttid oCt A*^ OCt A^JyuAAAlyCyZAyi^Ay /t y-f/tAyUKAdTciiAyAy*^ .A<y Cyt'>A7yO Ayny , OCoyC'yfyUyC ^AttTt .iy-tl-Uljdui

(17)

cr = ^ /JA- yAyidtdd fyxAity yti/crAdtty^y. ^dtcAAAnAA. y/iM/uXTiyLy cTcu^ oCt yi/üdfAruAt. AAfytyA/lA/IAATAACCAXAAdeyi^ ^l/AydMArtn^ : .„ ..

T ^ /> , A

..-,... 7 " ^ - Uy= ^^ ^ _.^. -_ ••.-. (dy)

, • • " • " • - * * " .

Jd/lAXAy /Uiytny ddh yCtycuu-d iCyü^ yl/Xiyh/ /dt Oyd7i-i-(^yL-a _ y(AC(yi-KA C^y /ocdd Zioytudi/iHyiAtAtiaAAdtyvxy //AA/AA/A-n/ yA-i'-^ATi^ Xyy7 ^ -^177 CyO U*^

[f^O) yiiAy -HiTC ytAoTcioty^Adt . LAA(ny /Te /ïtiTtAltixATt ytl'fAA. A/^^ytiAOUXyudtyA, (dce. At/ft/i- 7C'='o Atiy yc-^CL y^ytyyAiy/dud yyty«Aii^^j UAcncCt-'^, 4(/-(nddads At/tdpd

/tfU/dAAUAALAC . —

-doov )i=0 Ayt^ TC =' O. dy /t. =0 yt/tr^y nddt U/CUlyiAT^l^., A/CCt^ \J . TdoiAXAy (yjdCAld (/CuA J = y ~ t ~ O . ' C^Ü

-a>*^ 77^yCdZlA1^Adt-ty A> o/cvayiy cTcco T = r J ^ . dCt^-AO OtAXyp^ OÓ. y(y(AyCtC*uAtt^.y

yl/iAyl^ (Tt AUtTdtdcyKy /lAAAty}^ C = O y(/^Vh \J = d ^ //Cu-y yOlAK ÓA- " ' ^

4dy^^^dy>u>{j^di'^Zi7Cd 4(d^^ OUXACyi^üt/i )C'='0 ^.c^i^ )c = ^

yliACAOAAyHy ï> HihO Att^.y yiAAyOitAy yO- yC-tyadt-tA C^AytA/LO-tydt 7)

Wyt ^Slj ey^ ^6^zj AiA(nAd7 [^ZJinAft.

K^'V/UAÜ.AI

;

f(i , //

1,/AAh, {1=0 Ty /t'Oj oCuy] TZl ^"^ • <dl^A/UuyCAP^dyd oCcid ^ ~ 1 yAAyu^A

C^AiyiAyCóiytdl ^ cu yXAtyfA ky/T- . /du-i (doyC • yCJ Atytcd yCO A/t^<fly OyCAt. UAaAiylA7tyh.y . AlAOyhy U yod .AAi^y luyirycdct A/ay>^ y dcA AiAd/o AtACnfV y= O .

/T/ ——., =• o , oCcouy ym^Dtd / l/.m. yTA-l yt/iyxnyHAAnttixy AAoyn.- \J (yt^ / 5 " v ^ ^ ^ ^ - O A/Ay>-^ . ddd y^lA^, A4tyd<yUA/e^^ /doTd OU AA7iy0ddCa.£iMy^ At/CCuiy oCt y^7dec/A7y dAdtAytdyyfyO(ynyn7uuyAyi7(yi Aytyy^ , ddCoAAi^ ttAtA /lAAOuTt OutuAyA^cci-yLAriy.

/7d(y(y) ynuthtd —-^ AAAu luncTCA i/Oy]^ y AUy^t^y ^ -<5*t^ yp(/^ j yAAiA^^^^ C'^yj --^^*<-^ yCc-HJtay<7ty CufAAUA A*iiv ƒ . Td^AiyU /dsAu. yCAt^AACu. C7d€^<Al /ylACA fmyCA ^l-A*^ UmTu

\J-o AAAxnAtd /yAAdtdd .

. 7 ^ - Jj/ - . ^

/iyiycuviAyyi- 5 AA-*'^ /pUyy HAACCAA. yQ, dAy(lyCey*\.y (U>-7yuyCa.*(yCt ^ .

dny/y/ycAAyiA yMtyWu-nA i-t^ y^d) 7^-eyy7. , .

(18)

/d/y.

^AAtt '/yyUy Ai ndo yivCpi de- ATTcyÜAlyyy

ycyysy

iic SS - i^MZlu = o

'•H

(7

dr)

CAYJd

(6t)

(^1)

(6-8)

dAUyl/a/ddyKAiA^/ /U/truTtyi^ o/dt (de. AC/e/l/lAHytHAKoy A'tlyyu OU. yUediyUxTtixAi y^-T/eAAA-rthrryiAAwr oCt ^dt-Tï yyCy-i^-uA- ^J 'fiMA Z^yyfü . A(At

. ydcA/ddf y(rh oCe. AdTzt/ytAde*^ /Cut^iy dt

Uyfyudt Jód.i D U __l^ A

-TyAl/nAIAytyAte*^ ^Zd*^ yCySy(A€-tU) A*^ ^ /yUJAAUA, OUlyHyy:AyyAAfe-i^ , / i W ' ' ziAï^ /AtdytAM (dt dé^AyAAypytAcxAtA.

AiytAAitey>Uld7}nyfU.t^ y^md APVOyf . y/(/tyid-. idt (jrAfPiAUtddh yi/tyiyAtyUdeytAd£Acu^.y ^ OCctA)

l/UddóaAdCy yysAA^^ftdy&y AAU OyCA y\AtynAd(A(H>ytA</iUlyu7eyt^ yU^CTiAdeyy^A /du-} yiAA- yt^^dédd

7C-=o ITA -• fJ'^^y yc'd-y)

/f^Acuud^ dJeAA-fi/)

j^y<'

Ai

d_MJd/Ad-.

X-y^Z //yddt-iTyJI y/^ZyUA dtd dAAydex-fyi/ •dAX-^U /lAA^ ApAAduy(lty*^ Ayi/XnAityu/ yntAA //ftduCyub //MyhA (dt ^tA/lyadh^*^ - yUde'HctiyO. yTd^.

Alddi7m>xdt yWyUAtAicAypyAy y%od TATV yuAA yt</-CMAj/MA-VAu.y ytlyVlACeny' ^ yiyldiy&ayt^ AyV-truTC yyH.td ydtd ^Adéytyiy' AlAOyt^ (7t ^ci7td^-(d7tUv^A^^ /(^^"('^ OU Ay(2AU-tA7a:A*^ . XyfyiA o A /{^AtydcUi7tytA7A^ • ^*xy OU. ydtAyUyUKAAn^AnATt d^iAH^.CyUA ''X-^ dTt^/Stt/}

A -i^ jU A/C/AAtl^t-yAAA (dcW\y dCiAyHy AAAACducyU-XA^XyOAny ^OA.- )/AiAy ÜT. i/AymddA^ yCtAty .iAyA(/^e^lA7 : . • '•

h.^- /.z,J ^ y

^yTaddnAf Ai

oi

n rr

(19)

A = /-f-(3-'/^}^-f- z[j-'/)/)(A>UZAd -h / « ^ V V C?{/-)^)~'. o(.d("d^Zcü7-Z^d) . / ^

.,.;,,: Ayd^ /y/^yHiodeAAymy o(t A{/uydAutdd{4-vartA.^ x7^A " ..

A~ /'Z^ / / I r ^ A l yCd-yd^-id

^ '^^ - Jy7yd;yd^-yJ'^f-T7 //"^ "^f ^ ^"^ V / ^ d -^f ^

,-^77 a.

rd7,

o^'cc

A

AÏA^t^(XAC*V

ArL yzddddf^\[7^^}K(d-y)(ur^(<(d-^yj-(5'^yp(:drAylc/(dy]'(^/AxfdAfdy)^

''^"^ L-^-^I/-/)(^J-'^>^)-^'>^(d^y)-z(/7J(i-'/i^Jji^c((dy)-z^dfii^Zt7l^(dy)j

- ^ - ^ \(5-H\)]ö/(d-y)j<^.u(d-i-y)-

[f-f)))udjTiJA{dy)•/•f/'Z)}Ys-'/t))iAdy>^(di-y}-"^ l-[/-^)(i-^)fy^c^(d-y) /• o(u/<7lcAC'dy)-2ocdu'yrArd.ci^d~y) J

+ \ldA+ iOd^^ocd\\iid(3-</l/y](^uy + C5-<ri))c((zdy]/7j^-l- _.

. / " " ^ '-^"^ '"^ \l+Z^d4d-y)/tUc(^/-/3-'//)/Adc(fz7-y]^o/^7Ji>i(zdy:

^ '^f/d)(/-i^^d] yi^^ccl'^l'^y) -^(^fdty) -h u(d-hy)j<-*J,^/fdy) -h I ^

'-^^ l«=^ / / z(/- ^)

/ATPI

^yd-fy) / zy )^) /AryicAfd-y) J

- yO--d[z-i))~ / '<^o^-y) />ff>^<^(^d^y) -f- A('d+yJ(A(d.<A(d-y]-f-\ (C9]

^<^[ -t (/-Z^)j<^c/{d^y) /- y-ZAjc/Tdc/ddy) J

(20)

a. =

/ /-i/+/' {3 -H^)o((d-y),y,J-u(d^y) -h (3 -^)oidjCfc£c/Cd- A •/(((-ZA'}(3-Hi)A^ o(Cd^y)-i ( - Z/ y

y-2y^3-'d) (Any/t It (d-y) - o6u j<id.ci(d-y)-Zocday (AndiAfd-y)

.f. Az^..lu-'{t)ct('d-y)/Aodfi(di-y)-(3-w)cAd(A>diAyd-y)-z('/-i^J(j-W^

L +z{/-f)(3-'//)j<*^ix(d-y)'~ AAy (AAd-AXd-y) -hZoidA^/u.d^(d-y)

- 7dd ^ idddl^ \,JhA.dct(d-y)j<J.^-^ - ^('/-1>Y/-Z7)j7d ci^ - L

I ~ J[ -(3-'^Jc/y /Aodtiy - coy otryZ cA (id-y) j

+ ïlcdllTdY/dl^ ate/ ' o/fdy)(ArdA(d+y) -f A(d^y)A^o( dd-y)

^ " ^ ^'^ I 4 (/-zd)jt^A(di-y)- /f/^Z^).uUc/{d-y)

+ ' +

•h ^(t-'/](l-9)S^ \ pi(d--^)vf<7lA:(d^y) 'oi(di-y)<dd^(d-y)- ƒ . ((fs'j

^d [ _^y/.^J ^^ ^ ^ y ^ z{/-/)(AndiACd-y) J

yTdt /yO^lfyLt^yCM AVmn/ (de /kAyUlylA^/lyC7yily>t-*veyi^y^-t-U y

ZlAM^ ; _ • • • -/

^ l^d+f/-:7)yi{y:~U) .

/tA/CUtAUMy

/_ /-/)/+ ]/ V-(3-'/if)ci(d-^)j<MX«(d+y)-hci(jd-yjjdJ-c((d-y) •t(3'i/)(Adyo/{dty) - ^

^ l-i{(i~''^)^-A<^^'>^f'^-y)''^'>^d<Ay/Andoi{d-y) j

^ led I d- ^)f<(d-y)eAd^(d^y) - A(3d+y)cc/dA(d-y)-zyj- w)/c>J-0//(d^y) -f-d.

'^ / + i_^ [S-^)^-i-i\ <^dj.'^{d-y) + ZAdoiu ,A<7lu/o/--y) j

+ ' l'-^ 4 ^iédl. <T ^^1 zfz-J/JMd^ •/ Wz(dy)(Urd<,(^ +30^ (AfJ.Ay - .

/ ^ ^ '-^ '"'^ i[-Zctdu(dy)7U^-zdyU.^cid-y)fc^CAylci(zdyy

i/y/_y(i-yyi.y) ^ c^d r^^d) '^"((di^/J ^

ACdi^yJ(»d^(d-y)-/-z^ Ac/ **/ ^ ^;,^^yy.,y).j^^7d-y]

(21)

^ ify^d<(__,^\^\o/{d-y)Ut^oi(di-y)-'ct((d+y)chtU.cA{d'y)-I . _.. ' ->f7(}

^^l -Z(/Ar>7.ci{d-(-y) + Z(ArA^ci(d-y) .

\ ' U(-/)d-yz^)(tA)y)f?c-ia-) '••-'

^ = -//(^yj^y ^yyr// ~ ^- ^ Z ' ^

^ (T ' -/• —' y- />%d -^ cHyt^ y Z _ . ~ 7 yiOCXAlyUA^

ff 7 y±d7(^\-[3-'t^)'ifdy)^ci(dry)~ct{di-y)y»J't(k-yj-y-'fi>)(^(t('d-(y)-\ ^

^ ' ^'-^^ l-il{3/-'^y-^i\(^c^{dy)-2Adocyy(^cifd'y)

y yd \ (7 W)K7dy) (Ard^C'di-y) + A (d-y) (Hxd A^d-y) t

^'^[ -t i/(/-/)(/-zd) ^u(d-yj +ZocdAy J^u(d-y)^

-/ \idXi èldl^^cAdir^f'^^)'^'^ ' ^(i-f)oid(Afd>^ -Zctdoifd'y)^^^^^^ I

(i-^)^ tAfdiAAy +zy/-/)MdA(2dy) •/oiyCAdA(zd-y)j oLoC 1-2.^ I«Z ,

/ ^(id)(/-37-hd) ^ ^ ^ -A(d~y)(U^A/di-y)4ct('d^y)(>iry£>cC'd'y)-^^

''^"^ ^"^ . L -,/<Uoi(di-y) ^cH-U^fd-y) J .. ._

/ ^(/y)/i - )ji - ^ / A' {d-y)jcU Afdi-y) - ACdty),/cU^(d-y) \ (//

(d. " ^ ^ ' ^ "-^y) .. :... -* . (dt9y

dcdytytAy/

(22)

r= {/zy)y^ J ^ ^ ^ Ozdc^^^ 5 ^ ^yy

-,, •• • : /

- lldM.o.d^^ ^ . y y L ^ ^M^AJC^

AptHUiAlOlyfJ

'- 7iC?-i-d\-('3-'^)c/(d-y)(A^Ayd-^-y) - ^yd-y)

(^o/fd-y)-i-I / Y^d)(/-Z/)c/c*dei(d-y) -f- ZA.dA<y 7-*^ A(d-y) J

^yd (i''^)c^(d-y) y(Aj ,t('d+y)-/Afd^y)</cUc/{d-y) -('3-^)/A!ditydty) •

""^ / - i/^'Vy HJ/Ad A (d-y) -ZcAdAy (^^{d-y)

/ Idd^ + "^A'^^ - ^ cAd jc'^y^^'^ -z//-Zy/)Ad,hidAy -ZAdA(d-y) (udzy -f- /

1^ ^d (-M^ kd Jl^(i.,^)^^^^y.^)^^y;Uy)-Aj/^c/yzd'y)\

_ ff/-^)(/-h}^d) ^^c/JAAd-y)7Uu{d4y)^ufd^y)^A(d~yy ^ ''

/-2A/ kd

i^d^ .-ju^cifd-zy)-c7*J ^Cd-y) ' ^ ..

0^ ^LeA-<4yCCci.cd/ yi/a-uy Oct yCudïvtAiltiry A^iUu

/dt (/AAA^J^^ -Wyiyi/udei /twn/ A£ypA -CirHyC/LAAd OAA^ /tod Ai/1X/i4A'iA/<yM.^d- jtAAyiryAp/e^^

yiy(Aff''iA/eyi^y (dwC /yCt, dt. yi^f-yvoAtHyyiyf A/tZny K ^ OL yCAAAcAyrayn-*u.-tttAi^.y (jyA^^AAye'*^^ • / • ^ ^ / / • /O ^ A AftA Aiy(/ O/z. ATnArSiH-n^ At/OAyly /ÏT - C />CUcyiAyaynyno*tAA*^^. /AOAtAy At/trvi- } : - o o/t

yOAAed yiAVuTd A<J -deyC yiAAA AAÖtyfJiAAdA^ odayCyf/mny oXeAte.

• CU{/V-PtAyt*\A

yfutt-iAACU^ y^^ad OiAiyUAdltcdd yZH^cdétty ytAmATt^^ yvTidétd /ZCUiA ^777 y7*tAd7ce^\.y

yt/tCyPA cd. yOeyxdtAdcA^ TyUA yPeUyCyUyyytAed yToyhA yHOy yU-VlAdey}y^y' //Tt-tnydtylAd

cdoiA/ de A^/AlAyttduyOAAlU Toay^AAy AAOylA o/z AMAcdio-ude- (dtyi- AHyt^yUOtddtaAydyteuy yCn- AAMy (?u>MA*ttdt j y{A/ii-a/Adiii/iy AA*tA y^yCHAytAtUtAd }Hycn>teyxyC yf't^V^A/d yfe/iAAyU/MA dyAK. JAA ICAA o^oyTAUddtHyi de AciyüvAAAAy/ jLZAUAiffA. /ryctdyTcKTtAdei-iy /TAA -^y-*^ AlC A/iy(nyKAyptAyuA .t*ty ydtyl ycTc CKdAAio yXdt (UOA^i^AAyiyiy Ayf-viAp yu/tiAoitCCyCt.

(23)

y(AAdotXd pti/tUiyi, A-ylydAAu7tUld JTAA oCttoTottcdta^U> ^ /)-Czty<A ?lClA.y /y^^^AAy/trOA^uy^ JUcynynzyiyAytyiAtnA7eyi^ o/t yUt^Ci7e.dA^^Af A£.t.xy ykAdoL AAi^AfyA 77 jtt</-c*iy.

Ltuy /Cuyttdt ymyoytedyTTcddiAd y^T^ tde*^ Ayyuy ^itT- TlAAyf-TynAy^ yfoiyudeAuA d<A AAu^ y^tTyOtouTf (dec yA-ud^yiyy/di. 77)v~<yiAA (dt, ydo^e^A^ '//^/(iyCé^iyiy^€c*ud A<i (yACeA/A*^, cdctACy y/ArZAudd; A*^ AACTityKA- d^~(yiyCo(yi-vdtuA AA^<7e. ytAyayiTlAd/uoyCc dtTz*^ o^e AytiATly^Ziydt TcAtt^ yH/TuAce^^. ddAt^AUnny ytAHndy (7t Al<AUuUoa d£ii.*ty).A ATedyXcuyuTttyx-idt-

ytcXetdu-A'-fy'^yfnAAAATcyld, yUHA-OAiCUHyLy yiUnAAA OU /ddaAy dTtAy^Ai-uTe- /dliidty-aynyn.c-t^.a.e'1-i.y //AA OU. AH/ 777 yy^nyti^AAlt ^AATzeTli (ZAXyHyH/AAZAAlA yC^UAC4AAty1yUMy(y*r.^Ai-^ y^taTXiy AAAiAyAHA-lA/ A'/l/(yiAdeyiy\y. }(/yü 77 Z/A/uTyyt ^dnttyUkyOA^yLy y{/ilyt^ OCt y7iyd!A7iyU.y j2>t^

.Aiu AJti-^y OCtyuygAyyi- iZAiAOA ACAtAyd^ yOH^ OU. diudZ/AttA., Cdt^yiA yU/td y!dAAAL{/i}AAH.4-t^

A*V o/t /l^AAcAUniA ^^7^7 AAA/CÓA4y/!7cèlyiy yKCAflyflAHA yJi^AyiA^ . . . .

WjeTCiCAd y/Auy AfVt/udotde. ^ ' Ai'Vvdï

yAA(HM4^y Ay, Tdl yO-AAuToAUA /(l^(l4^ 7£.ftiAAAAxdilMAA-tAya4i.-tyty(yytyAt^ doctATiy' ii/mdd AkTTb d/Tte^^^ ffAAiaAdd OUC-UA oCt /LyTJcctTT» /tAOyUy £Ayi^ &AdetyCdo^7AeAdc-yi..0 ypiAL^

-7t7 /XAy(yHyC-\A*^.4Ayiiy .AAAi'iAynAj yfPtAlOAU yOlAK CtAXyny c7t fiCctOAyCYd-fAy --«SH^ /At .

A/AAZl.fftyyi4 dyCACAAUcadctA /t/OyKA OU de^nyeAAiyUAAAy. ddoiAuxy -TCtC ,,ftAi<yAiay*^ A^tUt^' /dtA^m. 7AAXyt^'7u-u\A/A-pA yttt^ oAALmtyiTeyidyZ- y&ru7tAZiA)AyK. yUtyiA/d^ /toyc yTTzAAfyo ttded

yiftyiATtAï^ Aii'^ydTeyiAA yCtytyCAAyyAAOytu. . *

/•eAvtoyuii ^ ^*^ ftAiM/LeiAA y^ au- .

Afyiy(HUyUyidAya7 y&n^ yntzd yUcdtCUi At/OyK/ o7t HAtynuyACyj ^ O/Te- A^yL- -TAA AUrrcrLffAiAltiA/. ÜA-OAA/ti^ y^At,^ ^ A£yt-\A A-fyudAAAdi yit yiAeAA[AALa£i^.y /tAili^ oCt /tdmAA/^t^g^^tt-^

oCcA-(dzyl^ jeClyiA /vdytét-nyTtAlAny OUAAteyhA /Uy ACHAuTeyi^ (?AAyAyiAeyV^ . duTtdffty -KAUyi^y yiHy- yUAUiAXAdtAyCyUty odyf AlAodpyO ^tAtykA^tAC /tAACr\Ad7iA.y . /fTtd yUyO

' y ^

S - r(dy y't^tvh X = OAMyX-^, (yzj

\\UACy^^AHAW htt '/^'V'.gtACftyUrtAtyUy^/U<UA olt AÜ<yi<iAHyHAATyt.y(:dc >4p<^<^ (^). y7(hy -dtd dAAU/iAftiCoyCt -Ci^^nyadcdd

(24)

'' f>o 4^

F^K /

l/yOny TAA '{/•t'l/UyC<iAe. AAAHf^tMAdd AH^Ayi

Cr^^^vdy^f^r/^^- 'V

(l/A ld= f ld, AAv ado AAtTCAtyduAd^dayUAe o7t TtAAy^ [ 77^ t / ? ^ y ,/7^ y. AlyeAyiAj-oAUyTi^ytd /lAAmAdt, odcuiy At^pC/Aydd &3j A*^ (ycy o7t AtAiy7yA*iAdt.

^ ^ -iWAOAuydC yd' ytAytcOyCd yyAC-ytA AVCTAdt^ :

•fy^^Z =^ [fd^/-k^t)<^y

Cy^j

{;^J

/ ^

l/Oypi/ (dt Alf^iyU</tiaiy\Adt dod- dt fct*^ A/ocyt-ty (dt tnAAi'fU-tiycéyyxy cTcAy ydyiAHAidTAiiy yOrty.y Aynd-iy huud tud, Mi>~tyt -^/^ yCi OAc^-fy* yr.eTucid' fAi-i^.y>-ay/cd. yide/tt yf/iHAiAiAOocuicTt AKAUy^ Ayny Jttyi^y ylAtytAlyKAAl'myyud tAAA^ AAAylj/Ayyeud WiruTt^^A Ayr^lA oét yty/ToAA AACCyftf

]/ yCty yiytjrtuM^y. 7LytHAygaAuit'A A^Ai^-i/ (ddi-iy' yPt/^ude^-xy Ayy ydtt/i-i^iftny t-tt-i^ Af7tyr)iAyüAACdtytAyd y/i/ddd 9AytA»ytA^*iy . /CddfA^yiAl-Xy/^OUAtd'yt.&<( AL7 //<A(y>A/Cei^

oOldC (dt yH7ictd(AAy AAiU-t/ Ztd dfidtAAd /idi^AAd^u/ Att^ youyidt«y7eAAny

AAUmd-ybCtyWCd yKOAA/ y%<y*^ (AOAyt/ yPtAtXyU^AyiAtn-^UytiAlAny. AAHAyU} A.££AC<^ d) OUt^tAAO^Ai/iC-nA AUU, (dcm^ f^X,/- Jd^^^dTyiy yyKAAAt-HAy^^y' ytAvdTe^^ doy^A yOOCA (y/J/VtV^. d^tAb AAIAAiAyte*^ AAO(yi^ 77,^ yC7 (y^J OÜAtU (ddny (Avd: 4Md oCi JUAcdcTt Ai^^'t'-^A/Aeydyuydta: Alt yyAy<yadeAd£yi^. u/l/fdLtdyAtAAdit^iAé yytddd y/dudyoCt AHW ; é ^ ^ A*udciu^ irrdc ^ ' yTeA yUirV-t^^y cdt .TaAyiAityftiAtty ifAyUJUyi-^y oCezX ytAO-yA oCt dTKyUAdiTff yCiAOy^Ayi-ya'ft.HAHAC. ytV-fAA(AoClaAnA -dci-nytUuAZld-hy. . . .

Kn D e l f t , m a a r t 19^0

LABORATO^imi vqoi7a.^4RON-DMECHANICA

jKiUM voor

ir W.C. van Mierlo, directeur,

ir H.L. Koning, verantwoordelijk

ingenieuro

Cytaty

Powiązane dokumenty

Firma Fastcom Systemy Laserowe powstała w 2011 roku w Warszawie i zajmuje się sprzedażą systemów laserowych do znakowania, grawerowania i cięcia.. W naszej firmie zawsze

 Walizka transportowa, która przeznaczona jest do ochrony spakowanej komory oraz akceso- riów podczas transportu oraz do ich magazyno- wania, gdy nie są używane, a także jako

Posiada wbudowany oświetlacz - wizualny wskaźnik aktywności pola magnetycznego oraz wbudowaną poduszkę w miejscu aplikacji zwiększającą komfort pacjenta w trakcie zabiegu

Wielofunkcyjny aparat typu Combo Etius ULM posiada dwa niezależne kanały i umożliwia wykonywanie za- biegów z zakresu elektroterapii, terapii ultradźwiękowej, terapii

o konstrukcja mechaniczna na kółkach pozwala na szeroki zakres regulacji poprzez ruch ra- mienia i obrót głowicy w dwóch osiach.. Opakowanie zawiera komplet

A Dermonutrient Containing Special Collagen Peptides Improves Skin Structure and Function: A Randomized, Placebo-Controlled, Triple-Blind Trial Using Confocal Laser Scanning

Terapeuta O-P5 jest to pięcioczęściowy, wąski (59 cm) stół do osteopatii i terapii manualnej z elektryczną regulacją wysokości za pomocą ramki wokół podstawy stołu..

Aparat do elektroterapii, sonoterapii i terapii skojarzonej Etius U z dwoma niezależnymi kanałami zabiego- wymi, obsługuje głowice jednoczęstotliwościowe 1 MHz.. Umożliwia