hamilton - on quaternions

7/30/2019 Hamilton - On Quaternions

1/92

ML RSBXCPLOMLW$ MP ML B LCQ W_WXCF MI

OFBAOLBPOCW OL BDAC@PB

@y

Qoddobf Pmqbl Nbfodxml

.Unodmwmunogbd Fbab{olc$ .2>882>35//

Choxch ` Hbyoh P, Qodjolw

0555


2/92

LMXC ML XNC XC^X

Xnc ubucp Ml Rsbxcplomlw: mp ml b lcq Wwxcf mi Ofbaolbpocw ol Bdac`pb$ ` WopQoddobf Pmqbl Nbfodxml$ buucbpch ol 2> olwxbdfclxw ol ymdsfcw ~~y~~~yo mi Xnc Dmlhml$Chol`span blh Hs`dol Unodmwmunogbd Fbab{olc blh Kmsplbd mi Wgoclgc .7ph Wcpocw/$ imp xnccbpw 2>882>35, Cbgn olwxbdfclx .olgdshola xnc dbwx/ clhch qoxn xnc qmphw Xm `c gmlxolsch,

Xnc bpxogdcw mi xnow ubucp buucbpch bw imddmqw;

bpxogdcw 23 Ksd 2>88 ymd, ~~y .2>88/$ uu, 2527$bpxogdcw 922 Mgxm`cp 2>88 ymd, ~~y .2>88/$ uu, 082089$bpxogdcw 2021 Fbpgn 2>83 ymd, ~~yo .2>83/$ uu, 005008$bpxogdcw 2>02 Ksd 2>89 ymd, ~~o~ .2>89/$ uu, 0972$bpxogdcw 0001 Bsaswx 2>89 ymd, ~~o~ .2>89/$ uu, 227200$bpxogdc 0> Mgxm`cp 2>89 ymd, ~~o~ .2>89/$ uu, 70970>$bpxogdcw 0?70 Kslc 2>81 ymd, ~~~ .2>81/$ uu, 83>892$

bpxogdcw 7779 Wcuxcf`cp 2>81 ymd, ~~~o .2>81/$ uu, 02802?$bpxogdcw 7135 Mgxm`cp 2>81 ymd, ~~~o .2>81/$ uu, 01>0>7$bpxogdcw 3233 Wsuudcfclxbp 2>81 ymd, ~~~o .2>81/$ uu, 32232?$bpxogdcw 3992 Fb 2>8> ymd, ~~~oo .2>8>/$ uu, 791718$bpxogdcw 9098 Ksd 2>8> ymd, ~~~ooo .2>8>/$ uu, 3>95$bpxogdcw 9391 Bupod 2>8? ymd, ~~~oy .2>8?/$ uu, 0?30?1$bpxogdcw 9>15 Fb 2>8? ymd, ~~~oy .2>8?/$ uu, 785787$bpxogdcw 12>2 Kslc 2>8? ymd, ~~~oy .2>8?/$ uu, 80387?$bpxogdcw >0>3 Bsaswx 2>8? ymd, ~~~y .2>8?/$ uu, 277271$bpxogdcw >9>1 Wcuxcf`cp 2>8? ymd, ~~~y .2>8?/$ uu, 055058$bpxogdcw >>?5 Bupod 2>35 ymd, ~~~yo .2>35/$ uu, 753759,

.Bpxogdcw 3233 buucbpch ol xnc wsuudcfclxbp lsf`cp mi xnc Unodmwmunogbd Fbab{olcqnogn buucbpch bx xnc clh mi 2>81,/

Ybpomsw cppbxb lmxch ` Nbfodxml nbyc `ccl gmppcgxch, Ol bhhoxoml$ xnc imddmqola gmp&pcgxomlw nbyc `ccl fbhc;

ol xnc immxlmxc xm bpxogdc 2?$ xnc xoxdc mi xnc ubucp ` Gbdc ol xnc Unodmwmunogbd Fbab{olcol Ic`psbp 2>83 qbw qpmlad aoycl bw Ml Gcpxbol Pcwsdxw pcwucgxola Rsbxcplomlw$ `sxnbw `ccl gmppcgxch xm Ml Gcpxbol Pcwsdxw pcdbxch xm Rsbxcplomlw .wcc xnc UnodmwmunogbdFbab{olc .7ph wcpocw/ ymd, ~~yo .2>83/$ uu, 282283/:

b wclxclgc nbw `ccl bhhch xm xnc immxlmxc xm bpxogdc 15$ aoyola xnc hbxc mi xnc fccxolami xnc Pmbd Opown Bgbhcf bx qnogn xnc pcdcyblx gmffslogbxoml ol ibgx xmmj udbgc .wccxnc Upmgccholaw mi xnc Pmbd Opown Bgbhcf$ ymd, oy .2>35/$ uu, 708703/,

Ol xnow choxoml$ wfbdd gbuoxbdw .b$ `$ g$ cxg,/ nbyc `ccl swch xnpmsanmsx xm hclmxc umolxwmi wubgc, .Xnow ow xnc upbgxogc ol fmwx mi xnc mpoaolbd xc~x ol xnc Unodmwmunogbd Fbab{olc$ `sx

o


3/92

wmfc mi xnc cbpd bpxogdcw mi xnow ubucp swch lmpfbd&wo{c pmfbl gbuoxbdw xm hclmxc umolxw miwubgc,/

Xnc wucddola gm&mpholbxcw nbw `ccl swch xnpmsanmsx, .Xnc nuncl qbw upcwclx ol fmwxolwxblgcw mi xnow qmph ol xnc mpoaolbd xc~x$ `sx qbw b`wclx ol bpxogdcw 20$ 23 blh 29,/

Xnc ubucp Ml Rsbxcplomlw: mp ml b lcq Wwxcf mi Ofbaolbpocw ol Bdac`pb$ ow olgdshch

ol Xnc Fbxncfbxogbd Ubucpw mi Wop Qoddobf Pmqbl Nbfodxml$ ymd, ooo .Bdac`pb/$ choxch impxnc Pmbd Opown Bgbhcf ` N, Nbd`cpwxbf blh P, C, Olapbf .Gbf`pohac Sloycpwox Upcww$Gbf`pohac$ 2?91/,

Hbyoh P, Qodjolw

Hs`dol$ Fbpgn 0555

oo


4/92

Ml Rsbxcplomlw: mp ml b lcq Wwxcf mi Ofbaolbpocw ol Bdac`pb+, @ WopQoddobf Pmqbl Nbfodxml$ DD,H,$ U,P,O,B,$ I,P,B,W,$ Nml, F, P, Wmg,

Ch, blh Hs`,$ Nml, mp Gmpp, F, mi xnc Pmbd mp Ofucpobd Bgbhcfocw mi Wx, Uc&xcpw`span$ @cpdol$ Xspol$ blh Ubpow$ Fcf`cp mi xnc Bfcpogbl Bgbhcf mi Bpxwblh Wgoclgcw$ blh mi mxncp Wgoclxoflg Wmgocxocw bx Nmfc blh B`pmbh$ BlhpcqwUpmi, mi Bwxpmlmf ol xnc Sloycpwox mi Hs`dol$ blh Pmbd Bwxpmlmfcp mi Opc&dblh,

ZXnc Dmlhml$ Chol`span blh Hs`dol Unodmwmunogbd Fbab{olc blh

Kmsplbd mi Wgoclgc$ 2>882>35,V

2, Dcx bl c~upcwwoml mi xnc impf

R 6 q * o~ * k * j{

`c gbddch b rsbxcploml$ qncl q$ ~$ $ {$ qnogn qc wnbdd gbdd xnc imsp gmlwxoxsclxw mi xncrsbxcploml R$ hclmxc bl pcbd rsblxoxocw$ umwoxoyc mp lcabxoyc mp lsdd$ `sx o$ k$ j bpc wf`mdwmi xnpcc ofbaolbp rsblxoxocw$ qnogn qc wnbdd gbdd ofbaolbp sloxw$ blh wnbdd wsuumwc xm `cslgmllcgxch ` bl dolcbp pcdbxoml qoxn cbgn mxncp: ol wsgn b fbllcp xnbx oi xncpc `c blmxncpc~upcwwoml mi xnc wbfc impf$

R 6 q * o~ * k * j{ $

xnc wsuumwoxoml mi bl crsbdox `cxqccl xncwc xqm rsbxcplomlw$

R 6 R$

wnbdd `c slhcpwxmmh xm olymdyc imsp wcubpbxc crsbxomlw `cxqccl xncop pcwucgxoyc gmlwxoxsclxw$lbfcd$ xnc imsp imddmqola$

q 6 q$ ~ 6 ~$ 6 $ { 6 {,

Ox qodd xncl `c lbxspbd xm hcfllc xnbx xnc bhhoxoml mp ws`xpbgxoml mi rsbxcplomlw ow cstcgxch `xnc impfsdb

R R 6 q q * o.~ ~/ * k. / * j.{ {/:mp$ ol qmphw$ ` xnc psdc$ xnbx xnc wsfw mp hostcpclgcw mi xnc gmlwxoxsclxw mi bl xqm rsbxcp&lomlw$ bpc xnc gmlwxoxsclxw mi xnc wsf mp hostcpclgc mi xnmwc xqm rsbxcplomlw xncfwcdycw, Ox

+ B gmffslogbxoml$ ws`wxblxobdd xnc wbfc qoxn xnbx ncpc us`downch$ qbw fbhc ` xnc

upcwclx qpoxcp xm xnc Pmbd Opown Bgbhcf$ bx xnc flpwx fccxola mi xnbx `mh bixcp xnc dbwxwsffcp pcgcww$ ol Lmycf`cp 2>87,

2


5/92

qodd bdwm `c lbxspbd xm hcfllc xnbx xnc upmhsgx RR $ mi xnc fsdxoudogbxoml mi R bw b fsdxoudocpolxm R bw b fsdxoudogblh$ ow gbub`dc mi `cola xnsw c~upcwwch;

RR 6 qq * oq~ * kq * jq{

* o~q * o0~~ * ok~ * oj~{

* kq

* ko~

* k0

* kj{

* j{q * jo{~ * jk{ * j0{{ :

`sx `cimpc qc gbl pchsgc xnow upmhsgx xm bl c~upcwwoml mi xnc rsbxcploml impf$ wsgn bw

RR 6 R 6 q * o~ * k * j{ $

ox ow lcgcwwbp xm fl~ ml rsbxcploml&c~upcwwomlw .mp ml pcbd ybdscw/ imp xnc lolc wrsbpcw mpupmhsgxw$

o0$ ok$ oj$ ko$ k0$ kj$ jo$ jk$ j0,

0, Gmlwohcpbxomlw$ qnogn ox foanx mggsu xmm fsgn wubgc xm aoyc bl bggmslx mi ml xnc

upcwclx mggbwoml$ nbyc dch xnc qpoxcp xm bhmux xnc imddmqola wwxcf mi ybdscw mp c~upcwwomlwimp xncwc lolc wrsbpcw mp upmhsgxw;

o0 6 k0 6 j0 6 2: .B,/

ok 6 j$ kj 6 o$ jo 6 k: .@,/

ko 6 j$ jk 6 o$ oj 6 k: .G,/xnmsan ox fswx$ bx flpwx woanx$ wccf wxpblac blh bdfmwx slbddmqb`dc$ xm hcfllc xnbx xnc upmhsgxmi xqm ofbaolbp ibgxmpw ol mlc mphcp hostcpw .ol woal/ ipmf xnc upmhsgx mi xnc wbfc ibgxmpwol xnc muumwoxc mphcp .ko 6 ok/, Ox qodd$ nmqcycp$ ox ow nmuch$ `c bddmqch$ xnbx ol clxcpolaml xnc howgswwoml mi b lcq wwxcf mi ofbaolbpocw$ ox fb `c imslh lcgcwwbp mp gmlycloclxxm wsppclhcp wmfc mi xnc c~ucgxbxomlw wsaacwxch ` xnc upcyomsw wxsh mi upmhsgxw mi pcbdrsblxoxocw$ mp cycl mi c~upcwwomlw mi xnc impf ~ * o$ ol qnogn o0 6 2, Blh qncxncp xncgnmogc mi xnc wwxcf mi hcflloxomlbd crsbxomlw$ .B,/$ .@,/$ .G,/$ nbw `ccl b kshogomsw$ mp bxdcbwx b nbuu mlc$ qodd upm`b`d `c kshach ` xnc cyclx$ xnbx ow$ ` xpola qncxncp xnmwccrsbxomlw gmlhsgx xm pcwsdxw mi wsgoclx gmlwowxclg blh cdcablgc,

7, Qoxn xnc bwwsfch pcdbxomlw .B,/$ .@,/$ .G,/$ qc nbyc xnc imsp imddmqola c~upcwwomlwimp xnc imsp gmlwxoxsclxw mi xnc upmhsgx mi xqm rsbxcplomlw$ bw islgxomlw mi xnc gmlwxoxsclxwmi xnc fsdxoudocp blh fsdxoudogblh;

q 6 qq ~~ {{ $~ 6 q~ * ~q * { { $

6 q

* q

* {~

~{

${ 6 q{ * {q * ~ ~,

.H,/

0


6/92

Xncwc crsbxomlw aoyc

q0 * ~0 * 0 * {0 6 .q0 * ~0 * 0 * {0/.q0 * ~0 * 0 * {0/:

blh xncpcimpc

6 $ .C,/

oi qc olxpmhsgc b wwxcf mi c~upcwwomlw imp xnc gmlwxoxsclxw$ mi xnc impfw

q 6 gmw $

~ 6 wol gmw $

6 wol wol gmw $

{ 6 wol wol wol $

.I,/

blh wsuumwc cbgn xm `c umwoxoyc, Gbddola$ xncpcimpc$ xnc fmhsdsw mi xnc rsbxcploml R$ qcnbyc xnow xncmpcf; xnbx xnc fmhsdsw mi xnc upmhsgx R mi bl xqm rsbxcplomlw R blh R$ owcrsbd xm xnc upmhsgx mi xncop fmhsdo,

8, Xnc crsbxomlw .H,/ aoyc bdwm

qq * ~~ * * {{ 6 q.q0 * ~0 * 0 * {0/$

qq * ~~ * * {{ 6 q.q0 * ~0 * 0 * {0/:

gmf`olola$ xncpcimpc$ xncwc pcwsdxw qoxn xnc flpwx mi xnmwc crsbxomlw .H,/$ blh qoxn xnc xpoamlm&fcxpogbd c~upcwwomlw .I,/$ blh xnc pcdbxoml .C,/ `cxqccl xnc fmhsdo$ qc m`xbol xnc xnpcc imd&dmqola pcdbxomlw `cxqccl xnc blasdbp gm&mpholbxcw $ $ mi xnc xqm ibgxmpwblh xnc upmhsgx;

gmw 6 gmw gmw wol wol .gmw gmw * wol wol gmw. //$gmw 6 gmw

gmw

* wol

wol

.gmw

gmw

* wol

wol

gmw.

//$gmw 6 gmw gmw * wol wol .gmw gmw * wol wol gmw. //,

.A,/Xncwc crsbxomlw .A,/ bhfox mi b wofudc acmfcxpogbd gmlwxpsgxoml, Dcx ~ { `c gmlwohcpch bwxnc xnpcc pcgxblasdbp gm&mpholbxcw mi b umolx ol wubgc$ mi qnogn xnc pbhosw ycgxmp ow 6 wol $xnc dmlaoxshc 6 $ blh xnc gm&dbxoxshc 6 : blh dcx xncwc xnpcc dbxxcp rsblxoxocw `c gbddchbdwm xnc pbhosw ycgxmp$ xnc dmlaoxshc blh xnc gm&dbxoxshc mi xnc rsbxcploml R: qnodc wnbdd `cgbddch xnc bfudoxshc mi xnbx rsbxcploml, Dcx p `c xnc umolx qncpc xnc pbhosw ycgxmp$ upmdmlachoi lcgcwwbp$ olxcpwcgxw xnc wuncpog wspibgc hcwgpo`ch b`msx xnc mpoaol mi gm&mpholbxcw qoxn bpbhosw 6 slox$ wm xnbx ow xnc gm&dbxoxshc blh ow xnc dmlaoxshc mi p: blh dcx xnow umolx p`c gbddch xnc pcupcwclxbxoyc umolx mi xnc rsbxcploml R, Dcx p blh p `c$ ol dojc fbllcp$xnc pcupcwclxbxoyc umolxw mi R blh R: xncl xnc crsbxomlw .A,/ c~upcww xnbx ol xnc wuncpogbd

xpobladc p p

p

$ impfch ` xnc pcupcwclxbxoyc umolxw mi xnc xqm ibgxmpw blh xnc upmhsgx .olbl fsdxoudogbxoml mi xqm rsbxcplomlw/$ xnc bladcw bpc pcwucgxoycd crsbd xm xnc bfudoxshcw mi

7


7/92


8/92

ok 6 j$ kj 6 o$ jo 6 k: .@,/

ko 6 j$ jk 6 o$ oj 6 k, .G,/Hcycdmuola blh hcgmfumwola xnc ofbaolbp impfsdb .O,/ ` xncwc gmlhoxomlw$ ox pcwmdycw oxwcdiolxm xnc imsp imddmqola pcbd crsbxomlw mi wuncpogbd xpoamlmfcxp;

gmw p

6 gmw p gmw p

.

*

*

/wol p wol p

$ wol p 6 wol p gmw p * wol p gmw p * . /wol p wol p$ wol p 6 wol p gmw p * wol p gmw p * . /wol p wol p$ wol p 6 wol p gmw p * wol p gmw p * . /wol p wol p:

.J,/mi qnogn olhcch xnc flpwx blwqcpw xm xnc qcdd&jlmql pcdbxoml .bdpcbh cfudmch ol xnow ub&ucp/$ gmllcgxola b wohc qoxn xnc xnpcc bladcw mi b wuncpogbd xpobladc, Xnc xnpcc mxncp crsb&xomlw .J,/ gmppcwumlh xm blh gmlxbol b xncmpcf .ucpnbuw lcq/$ qnogn fb `c clslgobxchxnsw; xnbx oi xnpcc impgcw `c buudoch bx xnc gclxpc mi xnc wuncpc$ mlc crsbd xm wol p gmw p blhhopcgxch xm xnc umolx p$ blmxncp crsbd xm wol p gmw p blh hopcgxch xm p$ blh xnc xnoph crsbdxm wol p wol p wol p p blh hopcgxch xm xnbx umdc mi xnc bpg p p qnogn docw xmqbphw xnc wbfcwohc mi xnow bpg bw xnc umolx p$ xnc pcwsdxblx mi xncwc xnpcc impgcw qodd `c hopcgxch xm p$

blh qodd `c crsbd xm wol p

, Ox ow lmx hogsdx xm upmyc xnow xncmpcf mxncpqowc$ `sx ox fb`c pcabphch bw olxcpcwxola xm wcc xnbx xnc imsp pcbd crsbxomlw .J,/ bpc bdd olgdshch wm wofudol xnc woladc ofbaolbp impfsdb .O,/$ blh gbl wm cbwod `c hchsgch ipmf xnbx impfsdb ` xncpsdcw mi xnc fsdxoudogbxoml mi rsbxcplomlw: ol xnc wbfc fbllcp bw xnc islhbfclxbd xncmpcfwmi udblc xpoamlmfcxp$ imp xnc gmwolc blh wolc mi xnc wsf mi bl xqm bpgw$ bpc olgdshch ol xncqcdd&jlmql impfsdb imp xnc fsdxoudogbxoml mi gmsudcw$ xnbx ow$ c~upcwwomlw mi xnc impf ~ * o$mp fmpc ubpxogsdbpd gmw * o wol $ ol qnogn o0 6 2, B lcq wmpx mi bdampoxnf$ mp gbdgsdsw impwuncpogbd xpoamlmfcxp$ qmsdh wccf xm `c xnsw aoycl mp olhogbxch,

Blh oi qc wsuumwc xnc wuncpogbd xpobladc p p p xm `cgmfc olhcflloxcd wfbdd$ ` cbgnmi oxw gmplcpw xclhola xm gmolgohc qoxn xnc umolx mi qnogn xnc gm&mpholbxcw bpc 2$ 5$ 5$ xnclcbgn gm&mpholbxc qodd xclh xm `cgmfc 6 2$ qnodc cbgn blh qodd sdxofbxcd yblown$ blhxnc wsf mi xnc xnpcc bladcw qodd buupmbgn olhcflloxcd xm xnc ybdsc : xnc impfsdb .O,/ qoddxncpcimpc nbyc imp oxw dofox xnc imddmqola$

.gmw p * o wol p/.gmw p * o wol p/ 6 gmw.p * p/ * o wol.p * p/$

qnogn nbw wm fbl ofumpxblx buudogbxomlw ol xnc swsbd xncmp mi ofbaolbpocw,

1, Ol xnbx xncmp xncpc bpc mld xqm hostcpclx wrsbpc pmmxw mi lcabxoyc slox$ blh xnchostcp mld ol xncop woalw, Ol xnc xncmp mi rsbxcplomlw$ ol mphcp xnbx xnc wrsbpc mi q * o~ *k * j{ wnmsdh `c crsbd xm 2$ ox ow lcgcwwbp blh wsgoclx xnbx qc wnmsdh nbyc

q 6 5$ ~0 * 0 * {0 6 2:

imp$ ol aclcpbd$ ` xnc c~upcwwomlw .H,/ mi xnow ubucp imp xnc gmlwxoxsclxw mi b upmhsgx$ mp `xnc hcflloxomlw .B,/$ .@,/$ .G,/$ qc nbyc

.q * o~ * k * j{/0 6 q0 ~0 0 {0 * 0q.o~ * k * j{/,

3


9/92

Xncpc bpc$ xncpcimpc$ ol xnow xncmp$ olflloxcd fbl hostcpclx wrsbpc pmmxw mi lcabxoyc mlc$

qnogn nbyc bdd mlc gmffml fmhsdsw 6 2$ blh mlc gmffml bfudoxshc 6

0$ `cola bdd mi xnc

impf 2 6 o gmw * k wol gmw * j wol wol $ .D,/`sx qnogn bhfox mi bdd ybpocxocw mi hopcgxomlbd gm&mpholbxcw$ xnbx ow xm wb$ gm&dbxoxshc blh

dmlaoxshc$ wolgc blh bpc bp`oxpbp: blh qc fb gbdd xncf bdd ofbaolbp sloxw$ bw qcdd bwxnc xnpcc mpoaolbd ofbaolbpocw$ o$ k$ j$ ipmf qnogn xnc bpc hcpoych, Xm howxolasown mlc wsgnpmmx mp slox ipmf blmxncp$ qc fb hclmxc xnc wcgmlh fcf`cp mi xnc impfsdb .D,/ ` o$$mp fmpc gmlgowcd ` op$ oi p hclmxc .bw `cimpc/ xnbx ubpxogsdbp umolx mi xnc wuncpog wspibgc.hcwgpo`ch b`msx xnc mpoaol bw gclxpc qoxn b pbhosw crsbd xm slox/ qnogn nbw oxw gm&dbxoxshc6 $ blh oxw dmlaoxshc 6 , Qc wnbdd xncl nbyc

op 6 o * k * j$ o0p 6 2$ .D,/

ol qnogn 6 gmw $ 6 wol gmw $ 6 wol wol $

$ $ `cola wxodd xnc pcgxblasdbp gm&mpholbxcw mi p$ pcicppch xm xnc gclxpc bw xncop mpoaol,

Xnc impfsdb .O,/ qodd xnsw `cgmfc$ imp bl wuncpogbd xpobladc$

.gmw p * op wol p/.gmw p * op wol p

/ 6 gmw p * op wol p, .O,/

>, Xm wcubpbxc xnc pcbd blh ofbaolbp ubpxw mi xnow dbwx impfsdb$ ox ow mld lcgcwwbp xmcstcgx b wofodbp wcubpbxoml imp xnc upmhsgx mi xnc xqm ofbaolbp sloxw qnogn clxcp olxm xncflpwx fcf`cp, @ gnblaola xnc bladcw p blh p xm poanx bladcw$ qoxnmsx gnblaola xnc umolxw pblh p suml xnc wuncpc$ xnc ofbaolbp sloxw op blh op slhcpam lm gnblac$ `sx xnc bladc p

`cgmfcw crsbd xm xnc bpg p p$ blh xnc umolx p gmfcw xm gmolgohc qoxn xnc umwoxoyc umdcmi xnbx bpg$ xnbx ow$ qoxn xnc umdc xm qnogn xnc dcbwx pmxbxoml ipmf p pmslh p ow umwoxoyc,Hclmxola xncl xnow umdc ` u$ qc nbyc xnc crsbxoml

opop 6

gmw p p * ou wol p p

$ .F,/

qnogn ow olgdshch ol xnc impfsdb .O,/$ blh pcgoupmgbdd wcpycw xm xpblwimpf ox: imp ox wnmqwxnbx qnodc xnc gmfubpowml mi xnc pcbd ubpxw pcupmhsgcw xnc jlmql crsbxoml

gmw p gmw p wol p wol p gmw p p 6 gmw p$ .J,/

xnc gmfubpowml mi xnc ofbaolbp ubpxw gmlhsgxw xm xnc imddmqola wf`mdog c~upcwwoml imp xncxncmpcf mi xnc 9xn bpxogdc;

op wol p gmw p * op wol p

gmw p * ou wol p wol p wol p p 6 op wol p

, .J,/

Bw b ycpoflgbxoml qc fb pcfbpj$ xnbx qncl xnc xpobladc .blh qoxn ox xnc bpg p p/ xclhwxm yblown$ xnc xqm dbwx crsbxomlw xclh xm gmlgsp ol aoyola xnc upmucpx mi xnc udblc xpobladc$

p * p * p 6 ,

9


10/92

?, Xnc c~upcwwoml .F,/ imp xnc upmhsgx mi bl xqm ofbaolbp sloxw$ qnogn bhfoxw mi fblbuudogbxomlw$ fb `c offchobxcd hchsgch ipmf xnc islhbfclxbd hcflloxomlw .B,/$ .@,/$ .G,/$pcwucgxola xnc wrsbpcw blh upmhsgxw mi xnc xnpcc mpoaolbd ofbaolbp sloxw$ o$ k$ j$ ` usxxolaox slhcp xnc impf

.o * k * j/.o * k * j/

6 . * * / * o. / * k. / * j. /: .F,/

blh ox ow cyohclx$ coxncp ipmf xnow dbwx impf mp ipmf gmlwohcpbxomlw mi pmxbxoml wsgn bw xnmwcbdpcbh c~udbolch$ xnbx oi xnc mphcp mi bl xqm uspc ofbaolbp ibgxmpw `c gnblach$ xnc pcbdubpx mi xnc upmhsgx pcfbolw slbdxcpch$ `sx xnc ofbaolbp ubpx gnblacw woal$ ol wsgn b fbllcpxnbx xnc crsbxoml .F,/ fb `c gmf`olch qoxn xnow mxncp blbdmamsw crsbxoml$

op op 6 gmw p p ou wol p p, .L,/

Ol ibgx$ qc fb gmlwohcp ou bw 6 ou

$ oi u

`c xnc umolx hobfcxpogbdd muumwoxc xm u$blh gmlwcrsclxd xnc umwoxoyc umdc mi xnc pcycpwch bpg pp .ol xnc wclwc bdpcbh hcxcpfolch/$xnmsan ox ow xnc lcabxoyc umdc mi xnc bpg p p xbjcl ol oxw impfcp hopcgxoml,

Blh wolgc ol aclcpbd xnc upmhsgx mi bl xqm rsbxcplomlw$ qnogn hostcp mld ol xnc woalwmi xncop ofbaolbp ubpxw$ ow pcbd blh crsbd xm xnc wrsbpc mi xnc fmhsdsw$ mp ol wf`mdw$

.gmw * op wol / .gmw op wol / 6 0$ .M,/

qc wcc xnbx xnc upmhsgx mi xnc xqm hostcpclx upmhsgxw$ .F,/ blh .L,/$ m`xbolch ` fsdxoudolabl xqm ofbaolbp sloxw xmacxncp ol hostcpclx mphcpw$ ow pcbd blh crsbd xm slox$ ol wsgn bfbllcp xnbx qc fb qpoxc

opop , opop 6 2: .U,/

blh xnc xqm rsbxcplomlw$ pcupcwclxch ` xnc xqm upmhsgxw opop blh opop$ fb `c wboh xm`c pcgoupmgbdw mi cbgn mxncp, Imp c~bfudc$ ox imddmqw offchobxcd ipmf xnc islhbfclxbdhcflloxomlw .B,/$ .@,/$ .G,/$ xnbx

ok , ko 6 j j 6 j0 6 2:

xnc upmhsgxw ok blh ko bpc xncpcimpc pcgoupmgbdw$ ol xnc wclwc kswx lmq c~udbolch, @ wsuumwolaxnc xqm ofbaolbp ibgxmpw$ op blh op $ xm `c fsxsbdd pcgxblasdbp$ xnbx ow$ xnc bpg p p

6 brsbhpblx$ xnc xqm upmhsgxw .F,/ blh .L,/ `cgmfc ou : blh xnsw$ mp ` b upmgcww fmpc hopcgx$qc foanx wnmq xnbx oi xqm ofbaolbp sloxw `c fsxsbdd muumwoxc .mlc `cola xnc lcabxoyc mixnc mxncp/$ xnc bpc bdwm fsxsbdd pcgoupmgbd,

25, Xnc crsbxoml .U,/$ qnogn qc wnbdd fllh xm `c mi swc ol xnc hoyowoml mi rsbxcplomlw$fb `c upmych ol b fmpc uspcd bdac`pbogbd qb$ mp bx dcbwx ol mlc fmpc b`wxpbgxch ipmfgmlwohcpbxomlw mi hopcgxomlw ol wubgc$ bw imddmqw, Ox qodd `c imslh xnbx$ ol yopxsc mi xnchcflloxomlw .B,/$ .@,/$ .G,/$ cycp crsbxoml mi xnc impf

, 6 ,

1


11/92

ow xpsc$ oi xnc xnpcc ibgxmpw $ $ $ qncxncp crsbd mp slcrsbd bfmla xncfwcdycw$ `c crsbd$cbgn$ xm mlc mp mxncp mi xnc xnpcc ofbaolbp sloxw o$ k$ j: xnsw$ imp c~bfudc$

o , kj 6 . o , o 6 2 6 j , j 6 / ok , j$

k , ko 6 .k , j 6 o 6 2 , o 6 /kk , o,Nclgc$ qnbxcycp xnpcc rsbxcplomlw fb `c hclmxch ` R$ R$ R$ qc nbyc xnc crsbxoml

R , RR 6 RR , R: .R,/

blh ol dojc fbllcp$ imp bl imsp rsbxcplomlw$

R , RRR 6 RR , RR 6 RRR , R$ .R,/

blh wm ml imp bl lsf`cp mi ibgxmpw: xnc lmxbxoml RR R `cola cfudmch$ ol xnc impfsdb.R,/$ xm hclmxc xnbx mlc hcxcpfolch rsbxcploml qnogn$ ol yopxsc mi xnc xncmpcf .R,/$ owm`xbolch$ qncxncp qc flpwx fsdxoud R bw b fsdxoudogblh ` R bw b fsdxoudocp$ blh xnclfsdxoud xnc upmhsgx RR bw b fsdxoudogblh ` R bw b fsdxoudocp: mp fsdxoud flpwx R ` R$blh xncl R ` RR, Qoxn xnc ncdu mi xnow upolgoudc qc fb cbwod upmyc xnc crsbxoml .U,/$

` m`wcpyola xnbxopop , opop 6 op , o

0p , op 6 o0p 6 *2,

22, Xnc xncmpcf c~upcwwch ` xnc impfsd .R,/$ .R/$ )g,$ ow mi apcbx ofumpxblgc ol xncgbdgsdsw mi rsbxcplomlw$ bw xclhola .wm ibp bw ox amcw/ xm bwwofodbxc xnow wwxcf mi gbdgsdbxomlwxm xnbx cfudmch ol mpholbp bdac`pb, Ol mpholbp fsdxoudogbxoml qc fb howxpo`sxc bl ibgxmpolxm bl lsf`cp mi ubpxw$ pcbd mp ofbaolbp$ blh gmddcgx xnc ubpxobd upmhsgxw: blh xnc wbfcupmgcww ow bddmqch ol mucpbxola ml rsbxcplomlw; rsbxcploml&fsdxoudogbxomlumwwcwwcw xncpcimpcxnc howxpo`sxoyc gnbpbgxcp mi fsdxoudogbxoml gmffmld wm gbddch$ mp ol wf`mdw$

R.R * R/ 6 RR * RR$ .R * R/R 6 RR * RR$ )g,

@sx ol mpholbp bdac`pb qc nbyc bdwm

RR 6 RR:

qnogn crsbdox mi upmhsgxw mi ibgxmpw$ xbjcl ol muumwoxc mphcpw$ hmcw lmx ol aclcpbd nmdh ammhimp rsbxcplomlw .ko 6 ok/: xnc gmffsxbxoyc gnbpbgxcp mi mpholbp fsdxoudogbxoml ow xncpcimpcol aclcpbd dmwx ol ubwwola xm xnc lcq mucpbxoml$ blh RR RR$ olwxcbh mi `cola b wf`mdmi {cpm$ gmfcw xm pcupcwclx b uspc ofbaolbp$ `sx lmx .ol aclcpbd/ bl cyblcwgclx rsblxox,Ml xnc mxncp nblh$ imp rsbxcplomlw bw imp mpholbp ibgxmpw$ qc fb ol aclcpbd bwwmgobxc xncibgxmpw bfmla xncfwcdycw$ ` apmsuw$ ol bl fbllcp qnogn hmcw lmx bdxcp xncop mphcp: impc~bfudc$

R , RR , RROY 6 RR , RRROY:

xnow$ xncpcimpc$ qnogn fb `c gbddch xnc bwwmgobxoyc gnbpbgxcp mi xnc mucpbxoml$ ow .dojc xnc

howxpo`sxoyc gnbpbgxcp/ gmffml xm xnc fsdxoudogbxoml mi rsbxcplomlw$ blh xm xnbx mi mpholbprsblxoxocw$ pcbd mp ofbaolbp,

>


12/92

20, B rsbxcploml$ R$ hoyohch ` oxw fmhsdsw$ $ fb ol aclcpbd .` qnbx nbw `cclwnmql/ `c usx slhcp xnc impf$

2R 6 gmw * op wol :

ol qnogn ow b pcbd rsblxox$ lbfcd xnc bfudoxshc mi xnc rsbxcploml: blh op ow bl ofbaolbpslox$ mp wrsbpc pmmx mi b lcabxoyc mlc$ lbfcd xnbx ubpxogsdbp pmmx$ mp slox$ qnogn ow howxol&asownch ipmf bdd mxncpw ` oxw xqm hopcgxomlbd gm&mpholbxcw$ blh ow gmlwxpsgxch ` b wxpboanxdolc hpbql ipmf xnc mpoaol mi gm&mpholbxcw xm xnc pcupcwclxbxoyc umolx p: xnow umolx p `colaml xnc wuncpog wspibgc qnogn ow hcwgpo`ch b`msx xnc mpoaol bw gclxpc$ qoxn b pbhosw crsbd xmslox, Gmfubpola xnow c~upcwwoml imp 2R qoxn xnc impfsdb .F,/ imp xnc upmhsgx mi bl xqmofbaolbp sloxw$ qc wcc xnbx oi qoxn xnc umolx p bw b umwoxoyc umdc$ qc hcwgpo`c ml xnc wbfcwuncpog wspibgc bl bpg uu mi b apcbx gopgdc$ blh xbjc xnow bpg 6 6 xnc wsuudcfclx mixnc bfudoxshc mi R: blh xncl gmlwohcp xnc umolxw u blh u bw xnc pcupcwclxbxoyc umolxw mixqm lcq ofbaolbp sloxw ou blh ou $ qc wnbdd nbyc xnc imddmqola aclcpbd xpblwimpfbxoml impbl aoycl rsbxcploml$

R 6 ouou :

xnc bpg uu `cola aoycl ol dclaxn blh ol hopcgxoml$ c~gcux xnbx ox fb xspl pmslh ol oxw mqludblc .mp ml xnc apcbx gopgdc xm qnogn ox `cdmlaw/$ blh fb `c olgpcbwch mp hofolownch ` blqnmdc lsf`cp mi gopgsficpclgcw$ qoxnmsx bdxcpola xnc ybdsc mi R,

27, Gmlwohcp lmq xnc upmhsgx mi wcycpbd wsggcwwoyc rsbxcploml ibgxmpw R2$ R0$ , , , slhcpxnc gmlhoxoml xnbx xncop bfudoxshcw 2$ 0$ , , , wnbdd `c pcwucgxoycd crsbd xm xnc bladcw mixnc wuncpogbd umdaml qnogn ow impfch ` xncop pcupcwclxbxoyc umolxw p2$ p0$ , , , xbjcl ol xncopmphcp, Xm fl~ fmpc upcgowcd qnbx ow xm `c slhcpwxmmh ol wucbjola ncpc mi xncwc bladcw$ wsuumwcxnbx pf ow xnc pcupcwclxbxoyc umolx mi xnc fxn rsbxcploml ibgxmp$ mp xnc fxn gmplcp mi xncumdaml$ xnc lc~x upcgchola gmplcp `cola pf2$ blh xnc lc~x imddmqola `cola pf*2: blh dcxxnc bladc$ mp .fmpc isdd/ xnc olxcplbd bladc$ mi xnc umdaml$ bx xnc umolx pf$ `c hclmxch` xnc wbfc wf`md pf$ blh `c hcfllch xm `c xnc dcbwx bladc mi pmxbxoml xnpmsan qnogn xncbpg pfpf*2 fswx pcymdyc ol xnc umwoxoyc hopcgxoml pmslh xnc umolx pf$ ol mphcp xm gmfcolxm xnc hopcgxoml mi xnc bpg pfpf2, Xncl$ xnc pmxbxoml 0 pf qmsdh `pola pfpf2 xmgmolgohc ol hopcgxoml qoxn pfpf*2: blh xncpcimpc xnc pmxbxoml pf$ ucpimpfch ol xnc wbfcwclwc mp ol xnc muumwoxc$ bggmphola bw ox ow umwoxoyc mp lcabxoyc$ qmsdh `pola xnc upmdmlabxomlmi xnc upcgchola bpg pf2 pf xm gmolgohc ol hopcgxoml qoxn xnc imddmqola bpg pfpf*2: mlqnogn bggmslx qc wnbdd gbdd xnow bladc pf$ xbjcl qoxn oxw upmucp woal$ xnc c~xcplbd bladcmi xnc umdaml bx xnc umolx pf, Xnc wbfc pmxbxoml pf qmsdh `pola xnc umwoxoyc umdc$qnogn qc wnbdd gbdd uf*2$ mi xnc upcgchola wohc pf2 pf mi xnc umdaml$ xm gmolgohc qoxn xncumwoxoyc umdc uf*0 mi xnc imddmqola wohc pfpf*2 xncpcmi$ ` xsplola pmslh xnc gmplcp pf bwb umdc$ ol bl bpg mi b apcbx gopgdc$ blh ol b umwoxoyc mp lcabxoyc hopcgxoml mi pmxbxoml bggmpholabw xnc c~xcplbd bladc pf mi xnc umdaml ow oxwcdi umwoxoyc mp lcabxoyc: gmlwcrsclxd$ ` xncdbwx bpxogdc$ qc wnbdd nbyc xnc impfsdb

2f Rf 6 gmw pf * opf wol pf 6 ouf*2ouf*0,

Fsdxoudola xmacxncp ol xncop mphcp xnc l impfsd mi xnow wmpx imp xnc l gmplcpw mi xnc umdaml$blh bxxclhola xm xnc bwwmgobxoyc gnbpbgxcp mi rsbxcploml fsdxoudogbxoml$ qnogn aoycw$ bw bl

?


13/92

c~xclwoml mi xnc impfsdb .U,/$ xnc imddmqola$

ou2ou0 , ou0ou7 , , , , oulou2 6 .2/l$ .U,/

qc wcc xnbx slhcp xnc wsuumwch gmlhoxomlw bw xm xnc bfudoxshcw qc nbyc xnow c~upcwwoml impxnc upmhsgx mi xnc l rsbxcploml ibgxmpw$

R2R0R7 , , , Rl 6 .2/l207 , , , l:

ipmf qnogn ox imddmqw$ xnbx imp bl wuncpogbd umdaml p2p0 , , , pl$ .cycl qoxn wbdoclx blhpc&clxpblx bladcw/$ xnow aclcpbd crsbxoml nmdhw ammh;

.gmw p2 * op2 wol p2/.gmw p0 * op0 wol p0/ , , , .gmw pl * opl wol pl/ 6 .2/l, .P,/

28, Imp xnc gbwc mi b wuncpogbd xpobladc p p p$ xnow pcdbxoml `cgmfcw

.gmw p * op wol p/.gmw p * op wol p

/.gmw p * op wol p/ 6 2: .O,/

blh pcupmhsgcw xnc impfsdb .O

,/$ qncl qc fsdxoud cbgn fcf`cp$ bw fsdxoudocp$ olxm gmw p

op wol p

bw fsdxoudogblh, Xnc pcwxpogxoml$ fclxomlch ol b impfcp bpxogdc$ ml xnc hopcgxoml mixnc umwoxoyc wcfob~ow mi mlc gm&mpholbxc bixcp xnmwc mi xnc xqm mxncp gm&mpholbxcw nbh `cclgnmwcl$ qbw hcwoalch fcpcd xm clb`dc sw xm gmlwohcp xnc xnpcc bladcw mi xnc xpobladc bw `colacbgn umwoxoyc blh dcww xnbl xqm poanx bladcw$ bggmphola xm xnc swbac gmffmld bhmuxch `qpoxcpw ml wuncpogbd xpoamlmfcxp, Ox qmsdh lmx nbyc `ccl hogsdx xm hchsgc pcgoupmgbdd xncxncmpcf .P,/ imp bl wuncpogbd umdaml$ ipmf xnc dcww aclcpbd pcdbxoml .O ,/ mp .O,/ imp xnc gbwcmi b wuncpogbd xpobladc$ ` bwwsfola bl umolx u suml xnc wuncpogbd wspibgc bw xnc gmffmlycpxc~ mi l xpobladcw qnogn nbyc xnc wohcw mi xnc umdaml imp xncop l `bwcw$ blh ` cfudmolaxnc bwwmgobxoyc gnbpbgxcp mi fsdxoudogbxoml$ xmacxncp qoxn xnc upolgoudc xnbx gmhopcgxomlbdrsbxcplomlw$ qncl xncop fmhsdo bpc wsuumwch cbgn crsbd xm slox$ bpc fsdxoudoch ` bhholaxncop bfudoxshcw, Xnow dbwx upolgoudc aoycw bdwm$ bw b ycpoflgbxoml mi xnc impfsdb .P,/$ imp xncgbwc mi bl olflloxcd wfbdd$ mp ol mxncp qmphw$ b udblc umdaml$ xnc jlmql crsbxomlw$

gmwp 6 .2/l$ wolp 6 5,

23, Xnc bwwmgobxoyc gnbpbgxcp mi fsdxoudogbxoml$ mp xnc impfsdb .R,/$ wnmqw xnbx oi qcbwwsfc bl xnpcc rsbxcplomlw R$ R$ R$ blh hcpoyc xqm mxncpw R$ R ipmf xncf$ ` xnccrsbxomlw

RR 6 R$ RR 6 R$

qc wnbdd nbyc bdwm xnc crsbxomlw

RR 6 RR 6 R

$

R

`cola b xnoph hcpoych rsbxcploml$ lbfcd xnc xcplbp upmhsgx RR

R

, Dcx p p

p

p p p `c xnc wo~ pcupcwclxbxoyc umolxw mi xncwc wo~ rsbxcplomlw$ ml xnc wbfc wuncpog wspibgc

25


14/92

bw `cimpc: xncl$ ` xnc aclcpbd gmlwxpsgxoml mi b upmhsgx bwwoalch ol b impfcp bpxogdc+$ qcwnbdd nbyc xnc imddmqola c~upcwwomlw imp xnc wo~ bfudoxshcw mi xnc wbfc wo~ rsbxcplomlw;

6 ppp 6 p p p: 6 p

pp 6 p pp:

6 ppp 6 ppp: 6 p

p p 6 pp p: 6 p p

p 6 ppp: 6

pp

p 6

p pp:

p p p `cola xnc wuncpogbd bladc bx p$ fcbwspch ipmf p p xm p p$ blh wofodbpd ol mxncp gbwcw,

@sx xncwc crsbxomlw `cxqccl xnc wuncpogbd bladcw mi xnc flaspc bpc upcgowcd xnmwc qnogn bpcpcrsowoxc ol mphcp xnbx xnc xqm umolxw p blh p wnmsdh `c xnc xqm imgo mi b wuncpogbd gmlogolwgpo`ch ol xnc wuncpogbd rsbhpodbxcpbd p p p p$ mp xmsgnch ` xnc imsp apcbx gopgdcw miqnogn xnc bpgw p p$ p p$ pp$ pp bpc ubpxw: xnow acmfcxpogbd pcdbxoml `cxqccl xnc wo~pcupcwclxbxoyc umolxw p p p p p p

mi xnc wo~ rsbxcplomlw R$ R$ R$ RR$ RR$ RRR$qnogn fb gmlycloclxd `c xnsw hclmxch$

pp., ,/pppp$ .R,/

ow xncpcimpc b gmlwcrsclgc$ blh fb `c gmlwohcpch bw bl olxcpupcxbxoml$ mi xnc ycp wofudc

bdac`pbogbd xncmpcf imp xnpcc rsbxcploml ibgxmpw$

RR , R 6 R , RR, .R,/

Ox imddmqw bx xnc wbfc xofc$ ipmf xnc xncmp mi wuncpogbd gmlogw$ xnbx xnc xqm wxpboanx dolcw$mp pbhoo ycgxmpcw$ qnogn bpc hpbql ipmf xnc mpoaol mi gm&mpholbxcw xm xnc umolxw p$ p$ blhqnogn gmlwxpsgx xnc ofbaolbp ubpxw mi xnc xqm `olbp rsbxcploml upmhsgxw RR$ RR$ bpcxnc xqm imgbd dolcw mi b gmlc mi xnc wcgmlh hcapcc$ olwgpo`ch ol xnc upbfoh qnogn nbw imp oxwimsp chacw xnc imsp pbhoo qnogn gmlwxpsgx xnc ofbaolbp ubpxw mi xnc xnpcc rsbxcploml ibgxmpwR$ R$ R$ blh mi xncop gmlxolsch .mp xcplbp/ upmhsgx RRR,

29, Qc nbh bdwm$ ` xnc wbfc bwwmgobxoyc gnbpbgxcp mi fsdxoudogbxoml$ blbdmamsw impfsdimp bl imsp olhcuclhclx ibgxmpw$

R , RRR 6 RR , RR 6 )g,: .R,/

oi xncl qc hclmxc xnow gmlxolsch upmhsgx ` ROY$ blh fbjc

RR 6 R$ RR 6 R

$ RR 6 R

$

RRR 6 R

$ RRR 6 ROY

$

blh m`wcpyc xnbx qnclcycp c blh i bpc imgo mi b wuncpogbd gmlog olwgpo`ch ol b wuncpogbdrsbhpodbxcpbd b`gh$ wm xnbx$ ol xnc lmxbxoml pcgclxd upmumwch$

ci., ,/b`gh$

+ Ol xnc Lsf`cp mi xnow Fbab{olc imp Ksd 2>88$ W, 7, ymd, ~~y,

22


15/92

xncl bdwm qc fb qpoxcic., ,/b`gh$ blh ci., ,/`ghb$

qc wnbdd fllh$ qoxnmsx hogsdx$ ` xnc ncdu mi xnc impfsdb .R ,/$ xnc flyc imddmqola acmfcxpogbdpcdbxomlw$ ol qnogn cbgn p ow xnc pcupcwclxbxoyc umolx mi xnc gmppcwumlhola rsbxcploml R;

pp

., ,/pp

p

p

:pp

., ,/ppppOY

:

p

p

., ,/pppOYp:

p

pOY

., ,/ppOYpp:

pOY

p., ,/pOYppp

,

.R,/

Xncwc flyc impfsd cwxb`down b pcfbpjb`dc gmllc~oml `cxqccl mlc wuncpogbd uclxbamlblh blmxncp .qncl gmlwxpsgxch bggmphola xm xnc impcamola psdcw/$ xnpmsan xnc fchosf miflyc wuncpogbd gmlogw: mi qnogn flyc gspycw cbgn xmsgncw xqm wohcw mi mlc uclxbaml blh nbw oxwimgo bx xqm gmplcpw mi xnc mxncp, Oi qc wsuumwc imp wofudogox xnbx cbgn mi xnc xcl fmhsdo ow6 2$ xnc hcuclhclgc mi wo~ rsbxcplomlw ` fsdxoudogbxoml ml imsp .bw xncop xnpcc `olbp$ xqm

xcplbp$ blh mlc rsbxcplbp upmhsgx$ bdd xbjcl qoxnmsx bdxcpola xnc mphcp mi wsggcwwoml mixnc ibgxmpw/ qodd aoyc coanxccl howxolgx crsbxomlw `cxqccl xnc xcl bfudoxshcw blh xnc xqclxumdbp gm&mpholbxcw mi xnc xcl rsbxcplomlw ncpc gmlwohcpch: ox ow xncpcimpc ol aclcpbd ucpfoxxchxm bwwsfc bx udcbwspc xqcdyc mi xncwc gm&mpholbxcw$ mp xm gnmmwc wo~ mi xnc xcl umolxw sumlxnc wuncpc, Lmx mld$ xncpcimpc$ fb qc ol aclcpbd xbjc mlc mi xnc xqm uclxbamlw bp`oxpbpod$`sx bdwm$ bx xnc wbfc xofc$ fb bwwsfc mlc gmplcp mi xnc mxncp uclxbaml .ws`kcgx mi gmspwcxm c~gcuxomlbd gbwcw/: blh$ bixcp b wsoxb`dc gnmogc mi xnc xcl bfudoxshcw$ xnc flyc pcdbxomlw.R,/$ `cxqccl xnc xqm uclxbamlw blh xnc flyc gmlogw$ qodd wxodd nmdh ammh,

21, B ycp ubpxogsdbp .mp pbxncp dofoxola/ cx lmx olcdcablx gbwc mi xnow xncmpcf owisplownch ` xnc gmlwohcpbxoml mi xnc udblc blh pcasdbp uclxbaml mi cdcfclxbp acmfcxp$ bwgmfubpch qoxn xnbx mxncp blh olxcpomp uclxbaml qnogn ow hcxcpfolch ` xnc olxcpwcgxomlw mioxw flyc hobamlbdw, Hclmxola ` p xnbx gmplcp mi xnc olxcpomp uclxbaml qnogn ow lcbpcwx xm xnc

wohc p p mi xnc c~xcpomp mlc: ` p xnbx gmplcp qnogn ow lcbpcwx xm pp$ blh wm ml xm pOY : xncpcdbxomlw .R/ bpc wbxowflch$ xnc wf`md ., ,/ lmq hclmxola xnbx xnc xqm umolxw qpoxxcl `cimpcox bpc imgo mi bl mpholbp .mp udblc/ cddouwc$ olwgpo`ch ol xnc udblc rsbhpodbxcpbd qnmwc gmplcpwbpc xnc imsp umolxw qpoxxcl bixcp ox, Qc fb bhh$ xnbx .ol xnow ubpxogsdbp gbwc/ xqm umolxw migmlxbgx imp cbgn mi xnc flyc rsbhpodbxcpbdw bpc gmplcpw mi xnc olxcpomp uclxbaml: blh xnbx xncb~ow fbkmp mi cbgn mi xnc flyc olwgpo`ch cddouwcw ow crsbd xm b wohc mi xnc c~xcpomp flaspc,

2>, Xnc wcubpbxoml mi xnc pcbd blh ofbaolbp ubpxw mi b rsbxcploml ow bl mucpbxoml miwsgn ipcrsclx mggsppclgc$ blh fb `c pcabphch bw `cola wm islhbfclxbd ol xnow xncmp$ xnbxox ow gmlycloclx xm olxpmhsgc wf`mdw qnogn wnbdd hclmxc gmlgowcd xnc xqm wcubpbxc pcwsdxw mixnow mucpbxoml, Xnc bdac`pbogbdd pcbd ubpx fb pcgcoyc$ bggmphola xm xnc rscwxoml ol qnogn oxmggspw$ bdd ybdscw gmlxbolch ml xnc mlc wgbdc mi upmapcwwoml mi lsf`cp ipmf lcabxoyc xm umwoxoyc

olfllox: qc wnbdd gbdd ox xncpcimpc xnc wgbdbp ubpx$ mp wofud xnc wgbdbp mi xnc rsbxcploml$ blhwnbdd impf oxw wf`md ` upcfl~ola$ xm xnc wf`md mi xnc rsbxcploml$ xnc gnbpbgxcpowxog Wgbd ,$ mp

20


16/92

wofud W,$ qncpc lm gmliswoml wccfw dojcd xm bpowc ipmf swola xnow dbwx b``pcyobxoml, Ml xncmxncp nblh$ xnc bdac`pbogbdd ofbaolbp ubpx$ `cola acmfcxpogbdd gmlwxpsgxch ` b wxpboanxdolc$ mp pbhosw ycgxmp$ qnogn nbw$ ol aclcpbd$ imp cbgn hcxcpfolch rsbxcploml$ b hcxcpfolchdclaxn blh hcxcpfolch hopcgxoml ol wubgc$ fb `c gbddch xnc ycgxmp ubpx$ mp wofud xnc ycgxmpmi xnc rsbxcploml: blh fb `c hclmxch ` upcfl~ola xnc gnbpbgxcpowxog Ycgx ,$ mp Y, Qc fbxncpcimpc wb xnbx b rsbxcploml ow ol aclcpbd xnc wsf mi oxw mql wgbdbp blh ycgxmp ubpxw$ blh

fb qpoxcR 6 Wgbd, R * Ycgx, R 6 W , R * Y , R$

mp wofudR 6 WR * YR,

@ hcxbgnola xnc gnbpbgxcpowxogw mi mucpbxoml ipmf xnc woalw mi xnc mucpblhw$ qc fb cwxb`down$imp xnow lmxbxoml$ xnc aclcpbd impfsd;

2 6 W * Y: 2 W 6 Y: 2 Y 6 W:

W , W 6 W: W , Y 6 5: Y , W 6 5: Y , Y 6 Y:

blh fb qpoxc.W * Y/l 6 2$

oi l `c bl umwoxoyc qnmdc lsf`cp, Xnc wgbdbp mp ycgxmp mi b wsf mp hostcpclgc mi rsbxcplomlwow xnc wsf mp hostcpclgc mi xnc wgbdbpw mp ycgxmpw mi xnmwc rsbxcplomlw$ qnogn qc fb c~upcww` qpoxola xnc impfsd;

W 6 W: W 6 W: Y 6 Y: Y 6 Y,

2?, Blmxncp aclcpbd hcgmfumwoxoml mi b rsbxcploml$ olxm ibgxmpw olwxcbh mi wsffblhw$fb `c m`xbolch ol xnc imddmqola qb;Wolgc xnc wrsbpc mi b wgbdbp ow bdqbw umwoxoyc$ qnodcxnc wrsbpc mi b ycgxmp ow bdqbw lcabxoyc$ xnc bdac`pbogbd c~gcww mi xnc impfcp mycp xnc dbxxcpwrsbpc ow bdqbw b umwoxoyc lsf`cp: oi xncl qc fbjc

.XR/0 6 .WR/0 .YR/0$

blh oi qc wsuumwc XR xm `c bdqbw b pcbd blh umwoxoyc mp b`wmdsxc lsf`cp$ qnogn qc fbgbdd xnc xclwmp mi xnc rsbxcploml R$ qc wnbdd lmx xncpc` hofolown xnc aclcpbdox mi xnbxrsbxcploml, Xnc xclwmp ow qnbx qbw gbddch ol impfcp bpxogdcw xnc fmhsdsw:+ `sx xncpc wccfxm `c wmfc gmlycloclgcw ol lmx m`doaola mspwcdycw xm pcxbol ncpc b xcpf qnogn nbw `ccl

+ Xnc qpoxcp `cdocycw xnbx qnbx mpoaolbdd dch nof xm swc xnc xcpfw fmhsdsw blh bf&udoxshc$ qbw b pcgmddcgxoml mi F, Gbsgnw lmfclgdbxspc pcwucgxola xnc swsbd ofbaolbpocw mibdac pb, Ox qbw xnc swc fbhc ` now ipoclh Kmnl X, Apbycw$ Cwr,$ mi xnc qmph gmlwxoxsclxw$ol gmllc~oml qoxn xnc mpholbp ofbaolbp c~upcwwomlw mi xnc impf ~ *

2 $ qnogn dch WopQoddobf Nbfodxml xm cfudm xnc wbfc xcpf ol gmllc~oml qoxn now mql ofbaolbpocw, Blh oi

nc nbh lmx gmfc xm upcicp xm xnc qmph fmhsdsw$ ol xnow xncmp$ xnc lbfc xclwmp$ qnognwsaacwxch xnc gnbpbgxcpowxog X$ nc qmsdh nbyc `mppmqch xnc wf`md F$ qoxn xnc wbfc woalofl&

27


17/92

swch ol wcycpbd mxncp wclwcw ` qpoxcpw ml mxncp ws`kcgxw: blh xnc qmph xclwmp nbw .ox owgmlgcoych/ wmfc pcbwmlw ol oxw ibymsp$ qnogn qodd bixcpqbphw fmpc isdd buucbp, Fcblxofc qcfb m`wcpyc$ bw wmfc kswxoflgbxoml mi xnc swc mi xnow qmph$ mp bx dcbwx bw wmfc bwwowxblgc xmxnc fcfmp$ xnbx ox clb`dcw sw xm wb xnbx xnc xclwmp mi b uspc ofbaolbp$ mp ycgxmp$ ow xnclsf`cp c~upcwwola xnc dclaxn mp dolcbp c~xclwoml mi xnc wxpboanx dolc ` qnogn xnbx bdac`pbogbdofbaolbp ow acmfcxpogbdd gmlwxpsgxch, Oi wsgn bl ofbaolbp `c hoyohch ` oxw mql xclwmp$

xnc rsmxoclx ow bl ofbaolbp mp ycgxmp slox$ qnogn fbpjw xnc hopcgxoml mi xnc gmlwxpsgxoladolc$ mp xnc pcaoml mi wubgc xmqbphw qnogn xnbx dolc ow xsplch: nclgc$ blh imp mxncp pcbwmlw$qc upmumwc xm gbdd xnow rsmxoclx xnc ycpwmp mi xnc uspc ofbaolbp; blh aclcpbdd xm wb xnbxb rsbxcploml ow xnc upmhsgx mi oxw mql xclwmp blh ycpwmp ibgxmpw$ mp xm qpoxc

R 6 XR , SR$

swola S imp xnc gnbpbgxcpowxog mi ycpwmp$ bw X imp xnbx mi xclwmp, Xnow ow xnc mxncp aclcpbdhcgmfumwoxoml mi b rsbxcploml$ pcicppch xm bx xnc `caollola mi xnc upcwclx bpxogdc: blh ol xncwbfc lmxbxoml qc nbyc

X , XR 6 XR: X , SR 6 2: S , XR 6 2: S , SR 6 SR:

wm xnbx xnc xclwmp mi b ycpwmp$ mp xnc ycpwmp mi b xclwmp$ ow slox$ bw ox qbw wccl xnbx xnc wgbdbpmi b ycgxmp$ mp xnc ycgxmp mi b wgbdbp$ ow {cpm,

Xnc xclwmp mi b umwoxoyc wgbdbp ow crsbd xm xnbx wgbdbp oxwcdi$ `sx xnc xclwmp mi b lcabxoycwgbdbp ow crsbd xm xnc umwoxoyc muumwoxc xncpcmi, Xnc ycpwmp mi b umwoxoyc mp lcabxoyc wgbdbpow crsbd xm umwoxoyc mp lcabxoyc slox: blh ol aclcpbd$ ` qnbx nbw `ccl wnmql ol xnc 20xnbpxogdc$ xnc ycpwmp mi b rsbxcploml ow xnc upmhsgx mi xqm ofbaolbp sloxw, Xnc xclwmp blhycpwmp mi b ycgxmp nbyc `ccl gmlwohcpch ol xnc upcwclx bpxogdc, B xclwmp gbllmx `cgmfc crsbdxm b ycpwmp$ c~gcux ` cbgn `cgmfola crsbd xm umwoxoyc slox: bw b wgbdbp blh b ycgxmp gbllmx`c crsbd xm cbgn mxncp$ sldcww cbgn pchsgcw oxwcdi xm {cpm,

05, Oi qc gbdd xqm rsbxcplomlw gmlksabxc qncl xnc nbyc xnc wbfc wgbdbp ubpx$ `sx nbycmuumwoxc ycgxmp ubpxw$ xncl `cgbswc$ ` xnc dbwx bpxogdc$

.XR/0 6 .WR * YR/.WR YR/$

qc fb wb xnbx xnc upmhsgx mi xqm gmlksabxc rsbxcplomlw$ WR * YR blh WR YR$ ow crsbdxm xnc wrsbpc mi xncop gmffml xclwmp$ XR: ipmf qnogn ox imddmqw xnbx gmlksabxc ycpwmpw bpc

gbxoml$ ipmf xnc ybdsb`dc ubucp ` Fp, Gbdc$ Ml Gcpxbol Pcwsdxw pcdbxola xm Rsbxcplomlw$qnogn buucbpch ol xnc Lsf`cp mi xnow Fbab{olc imp Ic`psbp 2>83, Ox qodd `c upmumwch `xnc upcwclx qpoxcp$ ol b isxspc bpxogdc$ xm gbdd xnc dmabpoxnfog fmhsdsw xnc fclwmp mi brsbxcploml$ blh xm hclmxc ox ` xnc impcamola gnbpbgxcpowxog F: wm bw xm nbyc

FR 6 dma, XR$ F , RR 6 FR * FR,

28


18/92

xnc pcgoupmgbdw mi cbgn mxncp$ mlc rsbxcploml `cola gbddch xnc pcgoupmgbd mi blmxncp qncl xncopupmhsgx ow umwoxoyc slox, Oi R blh R `c bl xqm rsbxcplomlw$ xnc xqm upmhsgxw mi xncopycgxmpw$ xbjcl ol muumwoxc mphcpw$ lbfcd YR , YR blh YR , YR$ bpc gmlksabxc rsbxcplomlw$` xnc hcflloxoml aoycl b`myc$ blh ` xnc upolgoudcw mi xnc ?xn bpxogdc: blh xnc gmlksabxc mixnc wsf mi bl lsf`cp mi rsbxcplomlw ow crsbd xm xnc wsf mi xncop gmlksabxcw: xncpcimpc xncupmhsgxw

.WR * YR/.WR

* YR

/ blh .WR YR/.WR YR/

bpc gmlksabxc: xncpcimpc X , RR$ qnogn ow xnc xclwmp mi xnc flpwx$ ow crsbd xm xnc wrsbpc pmmxmi xncop upmhsgx$ xnbx ow$ mi

.WR * YR/.XR/0.WR YR/$ mp mi .XR/0.XR/0:qc nbyc xncpcimpc xnc impfsdb

X , RR 6 XR , XR$

qnogn aoycw bdwmS , RR 6 SR , SR:

xnbx ow xm wb$ xnc xclwmp mi xnc upmhsgx mi bl xqm rsbxcplomlw ow crsbd xm xnc upmhsgx mi xncxclwmpw$ blh ol dojc fbllcp xnc ycpwmp mi xnc upmhsgx ow crsbd xm xnc upmhsgx mi xnc ycpwmpw,@mxn xncwc pcwsdxw fb cbwod `c c~xclhch xm bl lsf`cp mi ibgxmpw$ blh ` swola bw xncgnbpbgxcpowxog mi b upmhsgx$ qc fb qpoxc$ aclcpbdd$

XR 6 XR: SR 6 SR,

Ox qbw olhcch wnmql$ wm cbpd bw ol xnc 7ph bpxogdc$ xnbx xnc fmhsdsw mi b upmhsgx owcrsbd xm xnc upmhsgx mi xnc fmhsdo: `sx xnc upmgcww ` qnogn bl crsoybdclx pcwsdx nbw `cclncpc hchsgch hmcw lmx cwwclxobdd hcuclh suml xnbx cbpdocp hcfmlwxpbxoml; ox nbw bdwm xncbhyblxbac mi wnmqola xnbx xnc gmlxolsch upmhsgx mi bl lsf`cp mi rsbxcploml ibgxmpw owgmlksabxc xm xnc gmlxolsch upmhsgx mi xnc pcwucgxoyc gmlksabxcw mi xnmwc ibgxmpw$ xbjcl ol xncmuumwoxc mphcp: wm xnbx qc fb qpoxc

.W Y/ , RRR , , , 6 , , , .WR YR/.WR YR/.WR YR/$b impfsdb qnogn$ qncl gmf`olch qoxn xnow mxncp$

.W * Y/ , RRR , , , 6 .WR * YR/.WR * YR/.WR * YR/ , , , $

clb`dcw sw cbwod xm hcycdmuc WR blh YR$ xnbx ow$ xnc wgbdbp blh ycgxmp mi bl upmhsgxmi rsbxcplomlw$ ol xcpfw mi xnc wgbdbpw blh ycgxmpw mi xnc wcycpbd ibgxmpw mi xnbx upmhsgx, Impc~bfudc$ oi qc bapcc xm swc$ ol xncwc gbdgsdbxomlw$ xnc wfbdd Apccj dcxxcpw $ $ )g,$ qoxnmp qoxnmsx bggclxw$ bw wf`mdw mi ycgxmpw .qoxn xnc c~gcuxoml mi $ blh qoxn b icq mxncpc~gcuxomlw$ qnogn wnbdd `c coxncp c~upcwwd fclxomlch bw xnc mggsp$ mp gdcbpd olhogbxch `xnc gmlxc~x/$ qc fb impf xnc imddmqola xb`dc;

0W , 6 6 5: 0Y , 6 * 6 0:0W , 6 * : 0Y , 6 :

0W , 6 : 0Y , 6 * :)g, )g,

mi qnogn xnc dbq ow cyohclx,

23


19/92

02, Xnc islhbfclxbd psdcw mi fsdxoudogbxoml ol xnow gbdgsdsw aoyc$ ol xnc pcgclx lmxbxoml$imp xnc wgbdbp blh ycgxmp ubpxw mi xnc upmhsgx mi bl xqm ycgxmpw$ xnc c~upcwwomlw$

W , 6 .~~ * * {{ /:Y , 6 o.{ { / * k.{~ ~{/ * j.~ { /:

oi qc fbjc 6 o~ * k * j{$ 6 o~ * k * j{ $

~$ $ { blh ~$ $ { `cola pcbd blh pcgxblasdbp gm&mpholbxcw$ qnodc o$ k$ j bpc xnc mpoaolbdofbaolbp sloxw mi xnow xncmp, Xnc acmfcxpogbd fcblolaw mi xnc wf`mdw W , $ Y , $ bpcxncpcimpc isdd jlmql, Xnc impfcp mi xncwc xqm wf`mdw qodd `c imslh xm nbyc bl olxofbxcgmllc~oml qoxn xnc xncmp mi pcgoupmgbd umdbpw: bw fb `c c~ucgxch$ oi ox `c m`wcpych xnbx xnccrsbxoml

W , 6 b0c~upcwwcw xnbx qoxn pcicpclgc xm xnc wuncpc mi qnogn xnc crsbxoml ow

0 6 b0$xnbx ow$ qoxn pcicpclgc xm xnc wuncpc mi qnogn xnc gclxpc ow bx xnc mpoaol mi ycgxmpw$ blh mi

qnogn xnc pbhosw nbw oxw dclaxn hclmxch ` b$ xnc ycgxmp

xcpfolbxcw ol xnc umdbp udblc mi xncumolx qnogn ow xnc xcpfolbxoml mi xnc ycgxmp , Xnc dbxxcp mi xnc wbfc xqm wf`mdw$ lbfcdY , $ hclmxcw$ mp fb `c gmlwxpsgxch ` b wxpboanx dolc$ qnogn ow ol hopcgxoml ucpuclhogsdbpxm `mxn xnc dolcw hclmxch ` blh $ `cola bdwm wsgn xnbx xnc pmxbxoml pmslh ox ipmf xm ow umwoxoyc: blh `cbpola$ ol dclaxn$ xm xnc slox mi dclaxn$ xnc wbfc pbxom qnogn xnc bpcbmi xnc ubpbddcdmapbf slhcp xnc xqm ibgxmp dolcw `cbpw xm xnc slox mi bpcb, Xnc ymdsfc mi xncubpbddcdcuouchml slhcp bl xnpcc gmoloxobd dolcw$ mp xnc wc~xsudc ymdsfc mi xnc xcxpbnchpml miqnogn xnmwc dolcw bpc gmlxcpfolmsw chacw$ fb cbwod `c wnmql$ ml xnc wbfc upolgoudcw$ xm`c crsbd xm xnc wgbdbp mi xnc upmhsgx mi xnc xnpcc ycgxmpw gmppcwumlhola: xnow wgbdbp W , $qnogn ow crsbd xm W.Y , , /$ `cola umwoxoyc mp lcabxoyc bggmphola bw fbjcw bl m`xswcmp bl bgsxc bladc qoxn Y , $ xnbx ow$ bggmphola bw xnc pmxbxoml pmslh ipmf xmqbphw ow umwoxoyc mp lcabxoyc, Xm c~upcww xnbx xqm upmumwch dolcw $ bpc pcgxblasdbp$ qc fb

qpoxc xnc imddmqola crsbxoml mi ucpuclhogsdbpox$W , 6 5: mp * 6 5,

Xm c~upcww xnbx xqm dolcw bpc wofodbp mp muumwoxc ol hopcgxoml$ qc fb qpoxc xnc imddmqolacrsbxoml mi gmb~bdox$ mp mi ubpbddcdowf$

Y , 6 5: mp 6 5,Blh xm c~upcww xnbx xnpcc dolcw bpc ol mp ubpbddcd xm mlc gmffml udblc$ qc fb qpoxc xnccrsbxoml mi gmudblbpox$

W , 6 5: mp 6 5:coxncp `cgbswc xnc ymdsfc mi xnc ubpbddcdcuouchml slhcp xnc xnpcc dolcw xncl yblowncw$ mp

`cgbswc mlc mi xnc xnpcc ycgxmpw ow xncl ucpuclhogsdbp xm xnc ycgxmp ubpx mi xnc upmhsgx mixnc mxncp xqm,

29


20/92

00, Xnc acmfcxpogbd gmlwohcpbxomlw mi xnc impcamola bpxogdc fb mixcl wsaacwx bdac`pbogbdxpblwimpfbxomlwmi islgxomlw mi xnc lcq ofbaolbpocw qnogn clxcp olxm xnc upcwclx xncmp, Xnsw$oi qc fccx xnc islgxoml

W , W , $ .2,/qc fb wcc$ ol xnc flpwx udbgc$ xnbx ol xnc pcgclx lmxbxoml xnow islgxoml ow bdac`pbogbdd b

uspc ofbaolbp$ mp ycgxmp impf$ qnogn fb `c gmlwxpsgxch acmfcxpogbdd ol xnow xncmp ` bwxpboanx dolc nbyola dclaxn blh hopcgxoml ol wubgc: `cgbswc xnc xnpcc wf`mdw $ $ bpcwsuumwch xm `c xncfwcdycw wsgn ycgxmp impfw$ mp xm bhfox mi `cola gmlwxpsgxch ` xnpcc wsgndolcw: qnodc W , blh W , bpc$ ol xnc wbfc lmxbxoml$ xqm wgbdbp impfw$ blh hclmxcwmfc xqm pcbd lsf`cpw$ umwoxoyc lcabxoyc$ mp {cpm, Qc fb xncpcimpc crsbxc xnc upmumwchislgxoml .2,/ xm b lcq wfbdd Apccj dcxxcp$ bggclxch mp slbggclxch$ imp c~bfudc xm $ qpoxola

6 W , W , , .0,/

Fsdxoudola xnow crsbxoml ` $ blh xbjola xnc wgbdbp ubpxw mi xnc xqm fcf`cpw mi xncupmhsgx$ xnbx ow$ mucpbxola ml ox ` xnc gnbpbgxcpowxog W , : blh m`wcpyola xnbx$ ` xncupmucpxocw mi wgbdbpw$

W , W , 6 W , , W ,

6 W , , W , 6 W , W , $

ol qnogn xnc lmxbxoml W , W , ow bl b`pohafclx imp W. W , /$ blh xnc lmxbxomlW , , W , ow b`pohach ipmf .W , / , .W , /$ qnodc W , ow b wf`md crsoybdclx xmW./$ blh bdwm$ ` bpxogdc 05$ xm W./$ mp xm W , $ bdxnmsan blh bpc lmxxncfwcdycw crsoybdclx wf`mdw: qc bpc gmlhsgxch xm xnc crsbxoml

W , 6 5$ .7,/

qnogn wnmqw$ ` gmfubpowml qoxn xnc aclcpbd crsbxoml mi ucpuclhogsdbpox bwwoalch ol xncdbwx bpxogdc$ xnbx xnc lcq ycgxmp ow ucpuclhogsdbp xm xnc aoycl ycgxmp $ mp xnbx xncwc xqmycgxmp impfw pcupcwclx xqm pcgxblasdbp wxpboanx dolcw ol wubgc, Babol$ `cgbswc xnc wrsbpcw miycgxmpw bpc wgbdbpw .`cola pcbd$ xnmsan lcabxoyc lsf`cpw/$ qc nbyc

. W , / , 6 0 W , 6 . W , / , $

. W , / , 6 0 W , 6 . W , / , :

xncpcimpc xnc crsbxoml .0,/ aoycw bdwm

6 : .8,/

b pcwsdx qnogn$ qncl gmfubpch qoxn xnc aclcpbd crsbxoml mi gmudblbpox bwwoalch ol xncwbfc upcgchola bpxogdc$ wnmqw xnbx xnc lcq ycgxmp ow gmudblbp qoxn xnc xqm mxncp aoyclycgxmpw$ blh : ox ow xncpcimpc ucpuclhogsdbp xm xnc ycgxmp mi xncop upmhsgx$ Y , $ qnognow ucpuclhogsdbp xm `mxn xnmwc aoycl ycgxmpw, Qc nbyc xncpcimpc xqm jlmql ycgxmpw$ lbfcd

Y ,

blh

$ xm `mxn mi qnogn xnc wmsanx ycgxmp

ow ucpuclhogsdbp: ox ow xncpcimpc ubpbddcdxm$ mp gmb~bd qoxn$ xnc ycgxmp mi xnc upmhsgx mi xnc jlmql ycgxmpw dbwx fclxomlch$ mp ow crsbd

21


21/92

xm xnow ycgxmp mi xncop upmhsgx$ fsdxoudoch ` wmfc wgbdbp gmcgoclx ~: wm xnbx qc fb qpoxcxnc xpblwimpfch c~upcwwoml$

6 ~ Y.Y , , /, .3,/

Blh `cgbswc xnc islgxoml ow$ ` xnc crsbxoml .0,/$ nmfmaclcmsw mi xnc hofclwoml sloxqoxn pcwucgx xm cbgn wcubpbxcd mi xnc xnpcc ycgxmpw $ $ $ qnodc xnc islgxoml Y.Y , , /

ow dojcqowc nmfmaclcmsw mi xnc wbfc hofclwoml qoxn pcwucgx xm cbgn mi xnmwc xnpcc ycgxmpw$qc wcc xnbx xnc wgbdbp gmcgoclx ~ fswx `c coxncp bl clxopcd gmlwxblx lsf`cp$ mp cdwc bnmfmaclcmsw islgxoml mi xnc hofclwoml {cpm$ qoxn pcwucgx xm cbgn mi xnc wbfc xnpcc ycgxmpw:qc fb xncpcimpc bwwoal xm xncwc ycgxmpw bl bp`oxpbp dclaxnw qnogn fb fmwx ibgodoxbxc xnchcxcpfolbxoml mi xnow wgbdbp gmcgoclx ~, Babol$ xnc xqm c~upcwwomlw .0,/ blh .3,/ `mxnyblown oi `c ucpuclhogsdbp xm xnc udblc mi blh : ol mphcp xncpcimpc xm hcxcpfolc ~$ qcbpc ucpfoxxch xm wsuumwc xnbx $ $ bpc xnpcc gmudblbp ycgxmpw; blh$ ` qnbx qbw kswxlmq pcfbpjch$ qc fb wsuumwc xncop dclaxnw xm `c cbgn crsbd xm xnc bwwsfch slox mi dclaxn,Ol xnow fbllcp qc bpc dch xm wccj xnc ybdsc mi ~ ol xnc crsbxoml

~ Y , , 6 W , W , $ .9,/

slhcp xnc gmlhoxomlw

W ,

6 5$ .1,/

blh0 6 0 6 0 6 2: .>,/

wm xnbx $ $ bpc ncpc xnpcc gmudblbp blh ofbaolbp sloxw, Fsdxoudola cbgn fcf`cp mixnc crsbxoml .9,/$ bw b fsdxoudocp$ olxm bw b fsdxoudogblh$ blh xbjola xnc ycgxmp ubpxw mixnc xqm upmhsgxw: m`wcpyola bdwm xnbx

Y , 6 Y , $ blh Y , 6 Y , :

qc m`xbol xnow mxncp crsbxoml$

~ Y , 6 Y , , W ,

Y , , W , : .?,/

ol qnogn xnc xnpcc ycgxmpw Y , $ Y , $ Y , bpc gmb~bd$ `cola cbgn ucpuclhogsdbp xmxnc gmffml udblc mi xnc xnpcc ycgxmpw $ $ : xnc `cbp xncpcimpc wgbdbp pbxomw xm cbgnmxncp$ blh bpc upmumpxomlbd .` xnc dbwx bpxogdc/ xm xnc bpcbw mi xnc ubpbddcdmapbfw slhcp xncxnpcc ubopw mi slox&ycgxmpw$ blh $ blh $ blh blh $ pcwucgxoycd: xnbx ow$ xm xncwolcw mi xnc bladcw b$ b$ blh b b$ oi b `c xnc pmxbxoml ipmf xm $ blh b xnc pmxbxomlipmf xm $ ol xnc gmffml udblc mi xncwc xnpcc ycgxmpw, Bx xnc wbfc xofc qc nbyc .`xnc upolgoudcw mi xnc wbfc bpxogdc/ xnc c~upcwwomlw;

W , 6 gmw b: W , 6 gmw b:

wm xnbx xnc crsbxoml .?,/ pchsgcw oxwcdi xm xnc imddmqola ycp wofudc impf$

~ wol.b b/ 6 wol b gmw b wol b gmw b$ .25,/

2>


22/92

blh aoycw offchobxcd~ 6 2, .22,/

Wsgn xncl ow xnc ybdsc mi xnc gmcgoclx ~ ol xnc xpblwimpfch c~upcwwoml .3,/: blh ` gmfubpolaxnow c~upcwwoml qoxn xnc upmumwch impf .2,/$ qc fllh xnbx qc fb qpoxc$ imp bl xnpcc ycgxmpw$$ $ $ lmx lcgcwwbpod ws`kcgx xm bl gmlhoxomlw wsgn bw xnmwc mi `cola crsbd ol dclaxn blh

gmudblbp ol hopcgxoml .wolgc xnmwc gmlhoxomlw qcpc lmx swch ol howgmycpola xnc impf .3,/$ `sxmld ol hcxcpfolola xnc ybdsc .22,/$/ xnc imddmqola aclcpbd xpblwimpfbxoml;

W , W , 6 Y.Y , , /: .20,/

qnogn qodd `c imslh xm nbyc c~xclwoyc buudogbxomlw,

07, @sx bdxnmsan ox ow umwwo`dc xnsw xm cfudm acmfcxpogbd gmlwohcpbxomlw$ ol mphcp xmwsaacwx blh cycl xm hcfmlwxpbxc xnc ybdohox mi fbl aclcpbd xpblwimpfbxomlw$ cx ox ow bdqbwhcwopb`dc xm jlmq nmq xm m`xbol xnc wbfc wf`mdog pcwsdxw$ ipmf xnc dbqw mi gmf`olbxoml mixnc wf`mdw; lmp msanx xnc gbdgsdsw mi rsbxcplomlw xm `c pcabphch bw gmfudcxc$ xodd bdd wsgncrsoybdclgcw mi impf gbl `c hchsgch ipmf wsgn wf`mdog dbqw$ ` xnc icqcwx blh wofudcwxupolgoudcw, Ol xnc c~bfudc mi xnc impcamola bpxogdc$ xnc wf`mdog xpblwimpfbxoml fb `ccstcgxch ol xnc imddmqola qb,

Qncl b wgbdbp impf ow fsdxoudoch ` b ycgxmp impf$ mp b ycgxmp ` b wgbdbp$ xnc upmhsgxow b ycgxmp impf: blh xnc wsf mp hostcpclgc mi xqm wsgn ycgxmp impfw ow oxwcdi b ycgxmp impf:xncpcimpc xnc c~upcwwoml .2,/ mi xnc dbwx bpxogdc ow b ycgxmp impf$ blh fb `c crsbxch bw wsgn xmb wfbdd Apccj dcxxcp: mp ol mxncp qmphw$ xnc crsbxoml .0,/ ow bddmqch, @sx cycp ycgxmp impf owcrsbd xm oxw mql ycgxmp ubpx$ mp slhcpamcw lm gnblac mi woaloflgbxoml qncl ox ow mucpbxch ml `xnc gnbpbgxcpowxog Y: qc nbyc xncpcimpc xnow mxncp c~upcwwoml$ bixcp olxcpgnblaola$ bw ow bddmqch$xnc udbgcw mi xnc xqm ycgxmp ibgxmpw mi b `olbp upmhsgx slhcp xnc gnbpbgxcpowxog W$

6 Y. W , W , /, .2,/

Ws`wxoxsxola ncpc imp xnc gnbpbgxcpowxog W$ xnbx qnogn ow$ ` bpxogdc 2>$ wf`mdogbdd crsoybdclx

xncpcxm$ lbfcd xnc gnbpbgxcpowxog 2 Y$ blh m`wcpyola xnbx5 6 Y. /$ .0,/

`cgbswc$ ` bpxogdc 05$ ow b wgbdbp impf$ qc m`xbol xnow mxncp c~upcwwoml$

6 Y.Y , Y , /, .7,/

Xnc c~upcwwoml .2,/ fb `c qpoxxcl slhcp xnc impf

6 Y. W , W , /: .8,/

blh .7,/

slhcp xnc impf 6 Y. Y , Y , /$ .3,/

2?


23/92

m`xbolch ` olxcpgnblaola xnc udbgcw mi xqm ycgxmp&ibgxmpw ol cbgn mi xqm `olbp upmhsgxwslhcp xnc woal Y$ blh ` xncl gnblaola xnc woalw mi xnmwc xqm upmhsgxw: xbjola xncl xncwcfowsf mi xncwc xqm impfw .8,/$ .3,/$ blh swola xnc wf`mdog pcdbxoml mi bpxogdc 2>$ W*Y 6 2$qc fllh

6 20

Y.

/

6 Y 20

. / , : .9,/ol qnogn$ ` bpxogdc 05$ 2

0. / 6 Y , : qc nbyc xncpcimpc fllbdd

6 Y.Y , , / ; .1,/

xnbx ow$ qc bpc gmlhsgxch ` xnow uspcd wf`mdogbd upmgcww$ ipmf dbqw mi gmf`olbxoml upcyo&mswd cwxb`downch$ xm xnc xpblwimpfch c~upcwwoml .20,/ mi xnc dbwx bpxogdc,

08, B pcdbxoml mi xnc impf .8,/$ bpx, 00$ xnbx ow bl crsbxoml `cxqccl xnc xqm xcplbpupmhsgxw mi xnpcc ycgxmpw xbjcl ol xqm hostcpclx blh muumwoxc mphcpw$ mp bl cyblcwgclgc mixnc wgbdbp ubpx mi wsgn b xcplbp upmhsgx$ fb .blh ol ibgx hmcw/ upcwclx oxwcdi ol wcycpbd

pcwcbpgncw: blh bdxnmsan qc jlmq$ ` bpx, 02$ xnc acmfcxpogbd olxcpupcxbxoml mi wsgn b wf`mdogpcdbxoml `cxqccl xnpcc ycgxmp impfw$ lbfcd xnbx ox ow xnc gmlhoxoml mi xncop pcupcwclxola xnpccgmudblbp dolcw$ qnogn olxcpupcxbxoml fb wsaacwx b xpblwimpfbxoml mi mlc mi xncf$ bw b dolcbpislgxoml qoxn wgbdbp gmcgoclxw$ mi xnc xqm mxncp ycgxmpw$ `cgbswc bl mlc wxpboanx dolc ol blaoycl udblc fb `c xpcbxch bw xnc hobamlbd mi b ubpbddcdmapbf mi qnogn xqm bhkbgclx wohcw nbycbl xqm aoycl hopcgxomlw ol xnc wbfc aoycl udblc: cx ox ow hcwopb`dc$ imp xnc pcbwml fclxomlchbx xnc `caollola mi xnc dbwx bpxogdc$ xm jlmq nmq xm m`xbol xnc wbfc aclcpbd xpblwimpfbxomlmi xnc wbfc wf`mdog pcdbxoml$ qoxnmsx nbyola pcgmspwc xm acmfcxpogbd gmlwohcpbxomlw,

Wsuumwc xncl xnbx bl pcwcbpgn nbw gmlhsgxch xm xnc pcdbxoml$

6 5$ .2,/

qnogn ow lmx ol xnow xncmp bl ohclxox$ blh qnogn ox ow pcrsopch xm xpblwimpf, ZQc upmumwcimp gmlycloclgc xm gmffclgc ipmf xofc xm xofc b lcq lsf`cpola mi xnc impfsd$ `sx wnbddxbjc gbpc xm bymoh bdd hblacp mi gmliswoml mi pcicpclgc$ ` lbfola$ qncpc ox fb `c lcgcwwbp$xnc bpxogdc xm qnogn b impfsdb `cdmlaw: blh qncl lm wsgn pcicpclgc xm bl bpxogdc ow fbhc$ xncimpfsdb ow xm `c slhcpwxmmh xm `cdmla xm xnc gsppclx wcpocw mi impfsd$ gmllcgxch qoxn xncc~owxola olycwxoabxoml,V @ bpxogdc 05$ qc fb qpoxc xnc pcgclx pcdbxoml .2,/ slhcp xnc impf$

W , 6 5: .0,/

blh `cgbswc aclcpbdd$ imp bl xnpcc ycgxmpw$ qc nbyc xnc impfsdb .20,/ mi bpx, 00$ oi qc fbjc$ol xnbx impfsdb$ 6 Y , $ blh m`wcpyc xnbx W.Y , , / 6 W. Y , / 6 W , $ qcfllh$ imp bl imsp ycgxmpw $ xnc crsbxoml;

Y.Y , , Y , / 6 W , W , : .7,/

05


24/92

fbjola xncl$ ol xnow dbwx crsbxoml$ 6 $ 6 $ qc fllh$ imp bl xnpcc ycgxmpw$ $xnc impfsdb;

Y.Y , , Y , / 6 W , , .8,/Oi xncl xnc wgbdbp mi xnc upmhsgx `c crsbd xm {cpm$ xnbx ow$ oi xnc gmlhoxoml .0,/ mp

.2,/ mi xnc upcwclx bpxogdc `c wbxowflch$ xnc upmhsgx mi xnc xqm ycgxmpw Y , blh Y ,

ow b wgbdbp$ blh xncpcimpc xnc dbxxcp mi xncwc xqm ycgxmpw$ mp xnc muumwoxc ycgxmp Y ,

$ owol aclcpbd crsbd xm xnc impfcp ycgxmp Y , $ fsdxoudoch ` wmfc wgbdbp gmcgoclx `: qc fbxncpcimpc qpoxc$ slhcp xnow gmlhoxoml .2,/$ xnc crsbxoml

Y , 6 ` Y , $ .3,/

xnbx ow$Y , . `/ 6 5$ .9,/

wm xnbx xnc mlc ycgxmp ibgxmp ` mi xnow dbwx upmhsgx fswx `c crsbd xm xnc mxncp ycgxmpibgxmp fsdxoudoch ` wmfc lcq wgbdbp `: blh qc fb qpoxc xnc impfsdb$

6 ` * `$ .1,/

bw b xpblwimpfbxoml mi .2,/ mp mi .0,/, Qc fb bdwm qpoxc$ fmpc wffcxpogbdd$ xnc crsbxoml

b * b * b 6 5$ .>,/

olxpmhsgola xnpcc wgbdbp gmcgoclxw b$ b$ b$ qnogn nbyc nmqcycp mld xqm bpòxpbp pbxomw$ bwb wf`mdog xpblwimpfbxoml mi xnc upmumwch crsbxoml 6 5, Blh ox ow pcfbpjb`dcxnbx qnodc qc nbyc xnsw dmqcpch ` xqm sloxw xnc hofclwoml mi xnbx upmumwch crsbxoml$ gmlwoh&cpch bw olymdyola xnpcc ybpob`dc ycgxmpw$ $ $ $ qc nbyc bx xnc wbfc xofc olxpmhsgch .qnbxfb `c pcabphch bw/ xqm bpòxpbp gmlwxblxw$ lbfcd xnc xqm pbxomw mi b$ b$ b, B gmlycpwcupmgcww qmsdh nbyc wcpych xm cdofolbxc xqm bpòxpbp gmlwxblxw$ wsgn bw xncwc xqm pbxomw$ mpxnc xqm wgbdbp gmcgoclxw ` blh `$ ipmf b dolcbp crsbxoml mi xnc impf .>,/ mp .1,/$ `cxqcclxnpcc ybpob`dc ycgxmpw$ bx xnc wbfc xofc cdcybxola xnc hofclwoml mi xnc crsbxoml ` xqm sloxw$

ol xnc ubwwbac xm xnc impf .0,/ mp .2,/, Blh xnc blbdma mi xncwc xqm gmlycpwc xpblwimpfbxomlwxm olxcapbxomlw blh hostcpclxobxomlw mi crsbxomlw qodd buucbp wxodd fmpc gmfudcxc$ oi qc bxxclhxm xnc olxcpfchobxc wxbac .3,/ mi coxncp xpblwimpfbxoml$ qnogn ow mi bl olxcpfchobxc hcapcc$ mphofclwoml$ blh olymdycw mlc bpòxpbp gmlwxblx `: xnbx ow xm wb$ mlc fmpc xnbl xnc crsbxomlmi xnc noancwx hofclwoml .2,/$ blh mlc icqcp xnbl xnc crsbxoml mi dmqcwx hofclwoml .1,/,

03, Bw xnc crsbxoml W , 6 5 nbw `ccl wccl xm c~upcww xnbx xnc xnpcc ycgxmpw

pcupcwclx gmudblbp dolcw$ mp xnbx bl mlc mi xncwc xnpcc dolcw$ imp c~bfudc xnc dolc pcupcwclxch` xnc ycgxmp $ ow ol xnc udblc hcxcpfolch ` xnc mxncp xqm$ qncl xnc hoycpac ipmf bgmffml mpoaol: wm$ oi qc fbjc imp b`pohafclx

6 Y.Y , , Y , OY/$

6 Y.Y , , Y , OYY/$

6 Y.Y , , Y , Y/$ .2,/

02


25/92

xnc crsbxomlW , 6 5 .0,/

fb cbwod `c wnmql xm c~upcww xnbx xnc wo~ ycgxmpw OY Y bpc nmfmgmlog$ mppcupcwclx wo~ chacw mi mlc gmlc mi xnc wcgmlh hcapcc$ oi xnc `c wsuumwch xm `c bdd hpbql ipmfmlc gmffml mpoaol mi ycgxmpw, Imp oi qc pcabph xnc flyc ycgxmpw OY Y bw aoycl$blh xnc pcfbolola ycgxmp bw ybpob`dc$ xncl flpwx xnc crsbxoml .0,/ qodd aoyc imp xnc dmgswmi xnow ybpob`dc ycgxmp $ wmfc gmlc mi xnc wcgmlh hcapcc: `cgbswc$ ` xnc hcflloxomlw .2,/ mi$ $ $ oi qc gnblac xm b$ b `cola bl wgbdbp$ cbgn mi xnc xqm ycgxmpw blh qodd bdwm`c fsdxoudoch ` b$ qnodc qodd lmx `c bdxcpch; blh xncpcimpc xnc islgxoml W , qodd `cfsdxoudoch ` b0$ xnbx ow ` xnc wrsbpc mi xnc wgbdbp b$ ` qnogn xnc ycgxmp ow fsdxoudoch, Olxnc lc~x udbgc$ xnow gmlogbd dmgsw mi qodd gmlxbol xnc aoycl ycgxmp : `cgbswc oi qc wsuumwc 6 $ qc nbyc 6 5$ blh xnc crsbxoml .0,/ ow wbxowflch; blh ol dojc fbllcp xnc dmgsw mi gmlxbolw xnc ycgxmp Y$ `cgbswc xnc wsuumwoxoml 6 Y aoycw 6 5, Ol xnc xnoph udbgc$ xncgmlc gmlxbolw blh OY: imp oi qc wsuumwc 6 $ xncl$ ` xnc upolgoudc gmlxbolch ol xncimpfsdb .8,/ mi xnc dbwx bpxogdc$ qc nbyc

6 Y.Y , Y , Y , / 6 W , Y:blh ` xnc wbfc upolgoudc$ slhcp xnc wbfc gmlhoxoml$

Y , 6 Y.Y.Y , OY , Y , / , Y.Y , , Y , OYY//

6 Y , , W.Y , OY , Y , , Y , OYY/:`sx W.Y , , / 6 W , 6 5: xncpcimpc W , 6 W.Y , , / 6 5: blh ol dojcfbllcp xnow dbwx gmlhoxoml ow wbxowflch$ oi 6 OY$ `cgbswc blh Y , xncl hostcp mld `wgbdbp gmcgoclxw ipmf OY blh Y , OYY$ pcwucgxoycd$ wm xnbx xnc wgbdbp mi xncop upmhsgxow {cpm, Iolbdd$ xnc gmlogbd dmgsw mi gmlxbolw bdwm xnc pcfbolola ycgxmp $ `cgbswc oi qcwsuumwc 6 $ qc nbyc

6 W , OY$ 6 W , Y$

blh xncpcimpc ol xnow gbwc W , 6 5 `cgbswc xnc wgbdbp mi xnc upmhsgx mi blh

ow {cpm, Xnc dmgsw mi ow xncpcimpc b gmlc mi xnc wcgmlh hcapcc$ gmlxbolola xnc flyc ycgxmpw$ $ $ OY$ Y: blh ol c~bgxd xnc wbfc fbllcp ox fb `c wnmql qoxnmsx hogsdxxnbx qnogncycp mi xnc wo~ ycgxmpw , , , Y fb `c pcabphch bw xnc ybpob`dc ycgxmp$ oxw dmgswbwwoalch ` xnc crsbxoml .0,/$ mi xnc upcwclx bpxogdc$ ow b gmlc mi xnc wcgmlh hcapcc$ gmlxbololaxnc flyc mxncp ycgxmpw, Qc fb xncpcimpc wb xnbx xnow crsbxoml$

W , 6 5$

qncl xnc wf`mdw $ $ nbyc xnc fcblolaw bwwoalch ` xnc hcflloxomlw .2,/$ mp .ws`wxoxsxolaimp xnmwc wf`mdw xncop ybdscw/ qc fb wb xnbx xnc imddmqola crsbxoml

WzY.Y , , Y , OY/ , Y.Y , , Y , OYY/ , Y.Y , , Y , Y/v 6 5$ .7,/ow xnc crsbxoml mi nmfmgmlogowf$ mp mi slogmlbdox$ c~upcwwola xnbx$ qncl ox ow wbxowflch$ mlc

gmffml gmlc mi xnc wcgmlh hcapcc ubwwcw xnpmsan bdd xnc wo~ ycgxmpw

OY

Y

$blh clb`dola sw xm hchsgc ipmf ox bdd xnc upmucpxocw mi xnow gmffml gmlc,

00


26/92

09, Xnc gmlwohcpbxomlw cfudmch ol xnc impcamola bpxogdc foanx dcbyc b hms`x qncxncplm mxncp gmlc mi xnc wbfc hcapcc gmsdh ubww xnpmsan xnc wbfc wo~ ycgxmpw: xm pcfmyc qnognhms`x$ ` b fcxnmh gmlwowxclx qoxn xnc wuopox mi xnc upcwclx xncmp$ qc fb olxpmhsgc xncimddmqola gmlwohcpbxomlw pcwucgxola gmlogbd wspibgcw ol aclcpbd,

Qnbxcycp imsp ycgxmpw fb `c hclmxch ` $ $ $ $ qc nbyc

Y.Y ,

, Y ,

/ * Y.Y ,

, Y ,

/ 6 5: .2,/

ws`wxoxsxola xncl imp xnc flpwx mi xncwc xqm muumwoxc ycgxmp islgxomlw xnc c~upcwwoml .7,/ mibpx, 08$ blh imp xnc wcgmlh xnc c~upcwwoml impfch ipmf xnow ` olxcpgnblaola cbgn qoxn xncgmppcwumlhola $ qc fllh$ imp bl imsp ycgxmpw$

W , W , * W , W , 6 5, .0,/

Babol$ ox imddmqw cbwod ipmf upolgoudcw blh pcwsdxw bdpcbh wxbxch$ xnbx xnc wgbdbp mi xncupmhsgx mi xnpcc ycgxmpw gnblacw woal qncl bl xqm mi xnmwc xnpcc ibgxmpw gnblac udbgcwbfmla xncfwcdycw$ wm xnbx

W , 6

W 6 W 6

W 6 W 6

W, .7,/

Bwwsfola xncpcimpc bl xnpcc ycgxmpw$ $ $ $ mi qnogn xnc wgbdbp mi xnc upmhsgx hmcw lmxyblown$ qc fb c~upcww bl imspxn ycgxmp ol xcpfw mi xncwc xnpcc ycgxmpw$ blh mi xnc wgbdbpwmi xnc xnpcc upmhsgxw $ $ $ ` xnc impfsdb;

W , 6 W , * W , * W , , .8,/

Dcx `c wsuumwch xm `c b ycgxmp islgxoml mi mlc wgbdbp ybpob`dc x$ qnogn wsuumwoxoml fb `cc~upcwwch ` qpoxola xnc crsbxoml

6 .x/: .3,/

blh fbjc imp b`pohafclx

W , W ,

6 i2.x/: W , W ,

6 i0.x/: W , W ,

6 i7.x/: .9,/

xnc impfw mi xncwc xnpcc wgbdbp islgxomlw i2 i0 i7 hcuclhola ml xnc impf mi xnc ycgxmp islg&xoml $ blh ml xnc xnpcc bwwsfch ycgxmpw $ blh `cola gmllcgxch qoxn xncwc blh qoxncbgn mxncp ` xnc pcdbxoml

.x/ 6 i2.x/ * i0.x/ * i7.x/, .1,/

Gmlgcoyc x xm `c cdofolbxch `cxqccl xnc c~upcwwomlw imp xnc pbxomw mi xnc xnpcc wgbdbp islgxomlwi2 i0 i7$ blh bl crsbxoml mi xnc impf

I.i2.x/$ i0.x/$ i7.x// 6 5 .>,/

xm `c xnsw m`xbolch$ ol qnogn xnc islgxoml I ow wgbdbp .mp pcbd/$ blh nmfmaclcmsw: ox qodd xncl`c cyohclx xnbx qnodc xnc crsbxoml .3,/ fb `c pcabphch bw xnc crsbxoml mi b gspyc ol wubgc

07


27/92

.crsoybdclx xm b wwxcf mi xnpcc pcbd crsbxomlw `cxqccl xnc xnpcc gm&mpholbxcw mi b gspyc mihms`dc gspybxspc blh bl bs~odobp ybpob`dc x$ qnogn dbxxcp ybpob`dc fb pcupcwclx xnc xofc$ol b fmxoml bdmla xnow gspyc/$ xnc crsbxoml mi xnc gmlc qnogn ubwwcw xnpmsan xnow bp`oxbpgspyc$ blh nbw oxw ycpxc~ bx xnc mpoaol mi ycgxmpw$ ow

I.W , $ W , $ W , / 6 5, .?,/

Wsgn `cola b impf ol xnow xncmp imp xnc crsbxoml mi bl bp`oxpbp gmlogbd wspibgc$ qc fbqpoxc$ ol ubpxogsdbp$ bw b hcflloxoml mi xnc gmlc mi xnc lxn hcapcc$ xnc crsbxoml;

.Bu$r$p.W , /u , .W , /r , .W , /p/ 6 5: .25,/

u$ r$ p `cola bl xnpcc qnmdc lsf`cpw$ umwoxoyc mp lsdd$ mi qnogn xnc wsf ow l: Bu$r$p `cola bwgbdbp islgxoml mi xncwc xnpcc lsf`cpw: blh xnc wsffbxoml olhogbxch ` c~xclhola xm bddxncop wwxcfw mi ybdscw gmlwowxclx qoxn xnc dbwx&fclxomlch gmlhoxomlw$ qnogn fb `c qpoxxclxnsw;

wolu 6 wol r 6 wol p 6 5:

u 5$ r 5$ p 5:u * r* p 6 l,

.22,/Qncl l 6 0$ xncwc gmlhoxomlw gbl `c wbxowflch mld ` wo~ wwxcfw mi ybdscw mi u$ r$ p:

xncpcimpc$ ol xnow gbwc$ xncpc clxcp mld wo~ gmcgoclxw B olxm xnc crsbxoml .25,/: gmlwcrsclxdflyc wgbdbp pbxomw mi xncwc wo~ gmcgoclxw bpc wsgoclx xm ubpxogsdbpo{c b gmlc mi xnc wcgmlhhcapcc: blh xncwc gbl ol aclcpbd `c imslh$ ` mpholbp cdofolbxoml `cxqccl flyc crsbxomlw mixnc flpwx hcapcc$ qncl flyc ubpxogsdbp ycgxmpw bpc aoycl$ wsgn bw $ $ $ OY$ Y$ xnpmsanqnogn xnc gmlc ow xm ubww$ mp qnogn oxw wspibgc fswx gmlxbol suml ox, Nclgc$ bw olhcch owjlmql ipmf mxncp gmlwohcpbxomlw$ ox ow ol aclcpbd b hcxcpfolch upm`dcf xm fllh xnc ubpxogsdbpgmlc mi xnc wcgmlh hcapcc qnogn gmlxbolw ml oxw wspibgc flyc aoycl wxpboanx dolcw; blh xncaclcpbd wmdsxoml mi xnow upm`dcf ow gmlxbolch ol xnc crsbxoml mi nmfmgmlogowf$ bwwoalch olxnc upcgchola bpxogdc, Xnc upmmi xncpc aoycl xnbx xnc wo~ ycgxmpw , , , Y bpc nmfmgmlog$qncl xnc wbxowi xnbx crsbxoml$ hmcw lmx olymdyc bl upmucpx mi gmlog wcgxomlw$ lmp cyclbl upmucpx mi xnc gopgdc; ml xnc gmlxpbp$ xnbx crsbxoml nbyola mlgc `ccl cwxb`downch$ ` xncupmmi kswx lmq pcicppch xm$ foanx `c swch bw xnc `bwow mi b gmfudcxc xncmp mi gmlog wcgxomlw$blh mi gmlcw mi xnc wcgmlh hcapcc,

01, Xm kswxoi xnow bwwcpxoml$ qoxnmsx bx upcwclx bxxcfuxola xm cstcgx xnc bgxsbd hcycd&mufclx mi wsgn b xncmp$ ox fb `c wsgoclx xm hchsgc ipmf xnc crsbxoml mi nmfmgmlogowfbwwoalch ol bpxogdc 03$ xnbx apcbx blh icpxodc upmucpx mi xnc gopgdc$ mp mi xnc gmlc qoxn gopgsdbp`bwc$ qnogn qbw howgmycpch ` xnc aclosw mi Ubwgbd, Blh xnow hchsgxoml ow cbw: imp xnc xnpccbs~odobp ycgxmpw $ $ $ olxpmhsgch ol xnc crsbxomlw .2,/ mi xnc 03xn bpxogdc$ bpc cyohclxd$` xnc upolgoudcw wxbxch ol mxncp pcgclx bpxogdcw mi xnow ubucp$ xnc pcwucgxoyc dolcw mi olxcpwcg&xoml mi xnpcc ubopw mi udblcw$ bw imddmqw;Xnc udblcw mi blh OY olxcpwcgx ol $ xnmwcmi blh OYY ol : blh xnmwc mi blh Y ol : blh ol xnc impf .0,/$ bpxogdc 03$mi xnc crsbxoml mi nmfmgmlogowf$ c~upcwwcw xnbx xncwc xnpcc dolcw$ $ bpc gmudblbp, Oixncl b nc~bnchpbd bladc `c olwgpo`ch ol b gmlc mi xnc wcgmlh hcapcc$ blh oi cbgn mi xnc wo~ udblcibgcw `c upmdmlach .oi lcgcwwbp/ wm bw xm fccx oxw muumwoxc ol b wxpboanx dolc$ xnc xnpcc dolcw

mi fccxola mi muumwoxc ibgcw$ xnsw m`xbolch$ qodd `c woxsbxch ol mlc gmffml udblc; qnogn ow bimpf mi xnc xncmpcf mi Ubwgbd,

08


28/92

0>, Xnc jlmql blh uspcd apbunog upmucpx mi xnc gmlc mi xnc wcgmlh hcapcc qnogngmlwxoxsxcw xnc xncmpcf mi Ubwgbd$ blh qnogn c~upcwwcw xnc gmudblbpox mi xnc xnpcc dolcw mifccxola mi muumwoxc udblc ibgcw mi bl olwgpo`ch nc~bnchpbd bladc$ fb `c xpblwimpfch olxmblmxncp jlmql `sx uspcd fcxpog upmucpx mi xnc wbfc gmlc mi xnc wcgmlh hcapcc$ qnogn owb impf mi xnc xncmpcf mi F, Gnbwdcw$ pcwucgxola xnc gmlwxblg mi bl blnbpfmlog pbxom, Xnowxpblwimpfbxoml fb `c cstcgxch qoxnmsx hogsdx$ ml xnc udbl mi xnc upcwclx ubucp: imp oi qc

fsdxoud olxm Y , `mxn fcf`cpw mi xnc crsbxoml .7,/ mi xnc 08xn bpxogdc$ blh xncl mucpbxc` xnc gnbpbgxcpowxog W,$ bxxclhola xm xnc aclcpbd upmucpxocw mi wgbdbpw mi upmhsgxw$ qc fllh$imp bl wo~ ycgxmpw $ xnc impfsdb

W.Y , , Y , , Y , / 6 W , , W , W , , W , : .2,/

qnogn aoycw$ imp bl flyc ycgxmpw $ xnow mxncp;

W.Y , , Y , , Y , / 6 W , , W , , .0,/

Oi$ xncl$ qc xbjc wo~ bp`oxpbp ycgxmpw OY Y$ blh hchsgc lolc mxncp ycgxmpwipmf xncf ` xnc c~upcwwomlw

5 6 Y , $ 2 6 Y , $ 0 6 Y , $

7 6 Y , OY$ 8 6 Y ,

OYY$ 3 6 Y , Y$

6 Y , 57$ 6 Y , 28$

6 Y , 03:

.7,/qc wnbdd nbyc$ aclcpbdd$

W , 6 W , 503 , W , 728 W , 703 , W , 5286 W , 528 , W , 073 W , 782 , W , 3506 W , , W , OYY , W , OY , W , Y

W , OYY , W , OY , W , Y , W , 6 W , , W , OY , W , Y , W , YOY

W , , W , OY , W , Y , W , YOY,

.8,/

Xnsw oi$ ol ubpxogsdbp$ xnc wo~ ycgxmpw , , , Y bpc wsgn bw xm wbxowi xnc gmlhoxoml

W , 6 5$ .3,/

xnc qodd wbxowi bdwm xnow mxncp gmlhoxoml$ mp xnow mxncp impf mi xnc wbfc gmlhoxoml;

W ,

W , ,

W , OY

W , OY6

W , Y

W , Y,

W , YOY

W , YOY: .9,/

blh pcgoupmgbdd xnc impfcp mi xncwc xqm gmlhoxomlw qodd `c wbxowflch oi xnc dbxxcp `c wm,

Xncwc xqm crsbxomlw .3,/ blh .9,/$ c~upcww$ xncpcimpc$ cbgn ol oxw mql qb$ xnc c~owxclgcmi mlc blh xnc wbfc acmfcxpogbd pcdbxoml `cxqccl xnc wo~ ycgxmpw OY Y; blh b

03


29/92

wdoanx wxsh mi xnc impfw mi xncwc crsbxomlw wsgcw xm pclhcp cyohclx xnbx xnc `mxn bapcc olc~upcwwola xnbx xncwc wo~ ycgxmpw bpc nmfmgmlog$ ol xnc wclwc mi xnc 03xn bpxogdc: mp ol mxncpqmphw$ xnbx xnc wo~ ycgxmpw bpc wohcw .mp chacw/ mi mlc gmffml gmlc mi xnc wcgmlh hcapcc,Olhcch xnc crsbxoml .3,/ mi xnc upcwclx bpxogdc$ ol yopxsc mi xnc hcflloxomlw .7,/$ gmolgohcwqoxn xnc crsbxoml .0,/ mi xnc bpxogdc kswx goxch$ xnc wf`mdw $ $ pcxbolola ol xnc mlcxnc woaloflgbxomlw qnogn xnc nbh pcgcoych ol xnc mxncp, Xnc pcgclx xpblwimpfbxomlw wnmq$

xncpcimpc$ xnbx xnc crsbxoml mi nmfmgmlogowf$ bwwoalch ol bpxogdc 03$ fb `c usx slhcp xncimpf .9,/ mi xnc upcwclx bpxogdc$ qnogn ow hostcpclx$ blh ol wmfc pcwucgxw wofudcp, Xnc impfcpc~upcwwcw b apbunog upmucpx$ mp pcdbxoml `cxqccl hopcgxomlw$ lbfcd xnbx xnc xnpcc dolcw$ $ $ qnogn bpc xnc pcwucgxoyc olxcpwcgxomlw mi xnc xnpcc ubopw mi udblcw .$ OY/$.$ OYY/$ .$ Y/$ bpc bdd woxsbxch ol mlc gmffml udblc$ oi xnc wo~ nmfmgmlogycgxmpw `c wsuumwch xm hoycpac ipmf mlc gmffml mpoaol: xnc dbxxcp c~upcwwcw xnc fcxpogupmucpx$ mp pcdbxoml `cxqccl fbaloxshcw$ xnbx xnc pbxom gmfumslhch mi xnc xqm pbxomw mi xncxqm upbfohw ./ .OY/ xm xnc xqm mxncp upbfohw ./ .OY/$ mp xnbx xncupmhsgx mi xnc ymdsfcw mi xnc flpwx ubop mi upbfohw hoyohch ` xnc upmhsgx mi xnc ymdsfcw mixnc wcgmlh ubop$ hmcw lmx ybp$ qncl xnc ycgxmp $ qnogn ow xnc gmffml chac mi xncwc imspupbfohw$ ow gnblach xm xnc lcq `sx nmfmgmlog ycgxmp Y$ bw xncop lcq gmffml chac$ xncimsp pcfbolola nmfmgmlog blh gmoloxobd chacw OY mi xnc upbfohw `cola wsuumwch

xm slhcpam lm bdxcpbxoml, Xnc mlc ow xnc c~upcwwoml mi xnc upmucpx mi xnc fwxog nc~bapbfmi Ubwgbd: xnc mxncp ow bl c~upcwwoml mi xnc gmlwxblg mi xnc blnbpfmlog pbxom mi Gnbwdcw,+Xnc gbdgsdsw mi Rsbxcplomlw .mp xnc fcxnmh mi wgbdbpw blh ycgxmpw/ clb`dcw sw$ bw qc nbycwccl$ xm ubww$ ` b ycp wnmpx blh wofudc wf`mdogbd xpblwoxoml$ ipmf coxncp xm xnc mxncp mixncwc xqm apcbx blh jlmql upmucpxocw mi xnc gmlc mi xnc wcgmlh hcapcc,

0?, Oi qc hclmxc ` blh xqm gmlwxblx ycgxmpw$ blh ` b ybpob`dc ycgxmp$ bdd hpbqlipmf mlc gmffml mpoaol: oi bdwm qc hclmxc ` s blh y xqm ybpob`dc wgbdbpw$ hcuclhola ml xncimpcamola ycgxmpw $ $ ` xnc pcdbxomlw

s 6 0W , 6 * :

y0 6

8.Y , /0 6

.

/0:

.2,/

+ Bdxnmsan xnc impcamola upmgcww mi gbdgsdbxoml$ blh aclcpbdd xnc fcxnmh mi xpcbxolaacmfcxpogbd upm`dcfw ` rsbxcplomlw$ qnogn nbw `ccl c~xclhch ` xnc qpoxcp xm rscwxomlwmi hlbfogw blh xncpfmdma$ buucbpw xm nof xm `c lcq$ cx ox ow ofumwwo dc imp nof$ olfclxomlola ncpc xnc lbfc mi Gnbwdcw$ xm b`wxbol ipmf bgjlmqdchaola xnc hccu olxcddcgxsbdm`doabxomlw slhcp qnogn nc iccdw nofwcdi xm `c$ imp xnc olimpfbxoml$ blh wxodd fmpc imp xncofusdwc aoycl xm now folh ` xnc ucpswbd mi xnbx ycp olxcpcwxola blh c~gcddclx Nowxmp miAcmfcxpogbd Wgoclgc$ qnogn ow wm qohcd jlmql ` oxw mql fmhcwx xoxdc mi Bucpgs Nowxmporsc.@pswwcdw$ 2>71/, Nc nbw bdwm clhcbymspch xm upmflx ` b wxsh mi xnc Fcfmopw ` F, Gnbwdcw$ml Wuncpogbd Gmlogw blh Gmlcw mi xnc Wcgmlh Hcapcc$ qnogn nbyc `ccl xpblwdbxch$ qoxnLmxcw blh bl Buuclho~$ ` xnc Pcy, Gnbpdcw Apbycw .Hs`dol 2>82/: blh hcwopcw xm xbjcxnow muumpxslox mi bhhola$ xnbx nc gmlgcoycw nofwcdi xm nbyc hcpoych bwwowxblgc$ bw qcdd

bw clgmspbacfclx$ ol now acmfcxpogbd pcwcbpgncw aclcpbdd$ ipmf xnc ipcrsclx blh ibfodobpolxcpgmspwc qnogn nc nbw clkmch qoxn xnc dbwx&fclxomlch aclxdcfbl,

09


30/92

qc fb xncl pcupcwclx xnc gclxpbd wspibgcw mi xnc wcgmlh hcapcc ` crsbxomlw mi apcbx wof&udogox$ bw imddmqw;

Bl cddouwmoh$ qoxn xnpcc slcrsbd b~cw$ fb `c pcupcwclxch ` xnc crsbxoml

s0 * y0 6 2, .0,/

Mlc mi oxw gopgsfwgpoòla gdolhcpw mi pcymdsxoml nbw imp crsbxoml

y0 6 2: .7,/

xnc udblc mi xnc cddouwc mi gmlxbgx ow pcupcwclxch `

s 6 5: .8,/

blh xnc wwxcf mi xnc xqm xblaclx udblcw mi xnc cddouwmoh$ ubpbddcd xm xnc udblc mi xnow cddouwc$`

s

0

6 2, .3,/

B nucp`mdmoh mi mlc wnccx$ xmsgnola xnc wbfc gdolhcp ol xnc wbfc cddouwc$ ow hclmxch ` xnccrsbxoml

s0 y0 6 2: .9,/

oxw bwfuxmxog gmlc `

s0 y0 6 5: .1,/

blh b nucp`mdmoh mi xqm wnccxw$ qoxn xnc wbfc bwfuxmxog gmlc .1,/$ blh qoxn xnc xqmxblaclx udblcw .3,/$ ow pcupcwclxch ` xnow mxncp crsbxoml$

s0

y0 6 2, .>,/

@ gnblaola xm $ qncpc ow b xnoph bpòxpbp `sx gmlwxblx ycgxmp$ qc olxpmhsgc blbpòxpbp mpoaol mi ycgxmpw$ mp bl bpòxpbp umwoxoml mi xnc gclxpc mi xnc wspibgc$ bw pcicppchxm wsgn bl mpoaol, Blh xnc aclcpbd upm`dcf mi hcxcpfolola xnbx olhoyohsbd wspibgc mi xncwcgmlh hcapcc .wsuumwch xm nbyc b gclxpc$ slxod xnc gbdgsdbxoml wnbdd wnmq ol bl ubpxogsdbprscwxoml xnbx ox nbw lmlc/$ qnogn wnbdd ubww xnpmsan lolc aoycl umolxw$ fb xnsw `c pcabphchbw crsoybdclx xm xnc upm`dcf mi fllhola xnpcc gmlwxblx ycgxmpw$ $ $ qnogn wnbdd$ imp lolcaoycl ybdscw mi xnc ybpob`dc ycgxmp $ wbxowi mlc crsbxoml mi xnc impf

z. / * . /v0 z. / . /v0 6 2: .?,/

qoxn wsoxb`dc wcdcgxomlw mi xnc xqm bfòasmsw woalw$ hcuclhola ml$ blh ol xncop xspl hcxcp&folola$ xnc ubpxogsdbp wucgocw mi xnc wspibgc,

01


31/92

75, Xnc crsbxoml mi xnc cddouwmoh qoxn xnpcc slcrsbd b~cw$ pcicppch xm oxw gclxpc bw xncmpoaol mi ycgxmpw$ fb xnsw `c upcwclxch slhcp xnc imddmqola impf .qnogn qbw c~no`oxch xmxnc Pmbd Opown Bgbhcf ol Hcgcf`cp 2>83/;

. * /0 . /0 6 2: .2,/

blh qnogn hcgmfumwcw oxwcdi olxm xqm ibgxmpw$ bw imddmqw;

. * * /. * * / 6 2, .0,/

Xncwc xqm ibgxmpw bpc lmx mld wcubpbxcd dolcbp qoxn pcwucgx xm xnc ybpob`dc ycgxmp $ `sxbpc bdwm .` bpx, 05$ Unod, Fba, imp Ksd 2>89/ gmlksabxc rsbxcplomlw: xnc nbyc xncpcimpcb gmffml xclwmp$ qnogn fswx `c crsbd xm slox$ wm xnbx qc fb qpoxc xnc crsbxoml mi xnccddouwmoh slhcp xnow mxncp impf$

X. * * / 6 2: .7,/

oi qc swc$ bw ol xnc 2?xn bpxogdc$ Unod, Fba,$ Ksd 2>89$ xnc gnbpbgxcpowxog X xm hclmxc xncmucpbxoml mi xbjola xnc xclwmp mi b rsbxcploml, Dcx `c bl bs~odobp ycgxmp$ gmllcgxch qoxn

xnc ycgxmp mi xnc cddouwmoh ` xnc crsbxoml

6 . /2: .8,/

qc wnbdd xncl nbyc$ ` .7,/$ blh ` xnc aclcpbd dbq imp xnc xclwmp mi b upmhsgx$

X. * * / , X 6 2: .3,/

`sx bdwm. * / 6 . / * . /$ .9,/

qncpc xnc wcgmlh fcf`cp ow wgbdbp: xncpcimpc$ swola xnc gnbpbgxcpowxog S xm hclmxc xnc mucp&bxoml mi xbjola xnc ycpwmp mi b rsbxcploml$ bw ol xnc wbfc bpx, 2?$ qc nbyc xnc crsbxoml

S. * / , S 6 2: .1,/

blh xnc hcuclhclgc mi xnc ybpob`dc ycgxmp mi xnc cddouwmoh ml xnc bs~odobp ycgxmp owc~upcwwch ` xnc impfsdb

6 S. * /X. * * /

, .>,/

@cwohcw$ xnc dclaxn mi xnow bs~odobp ycgxmp ow gmlwxblx$ blh crsbd xm xnbx mi $ `cgbswcxnc crsbxoml .8,/ aoycw

X 6 X. /: .?,/qc fb xncpcimpc pcabph bw xnc ycgxmp mi xnc gclxpc g mi b gcpxbol bs~odobp wuncpc$mi qnogn xnc wspibgc ubwwcw xnpmsan xnc gclxpc b mi xnc cddouwmoh: blh fb pcabph xnc ycgxmp

* bw b ybpob`dc blh bs~odobp asohc&gnmph bh mi xnc wbfc asohc&wuncpc$ qnogn gnmphhcxcpfolcw xnc .c~bgxd wofodbp mp c~bgxd muumwoxc/ hopcgxoml mi xnc ybpob`dc pbhosw ycgxmp

0>


32/92

bc .mp / mi xnc cddouwmoh, Bx xnc wbfc xofc$ xnc gmlwxblx ycgxmp 0$ hpbql ipmf xnc wbfcgmlwxblx mpoaol bw `cimpc$ lbfcd xnc gclxpc b mi xnc cddouwmoh$ qodd hcxcpfolc xnc umwoxoml mi bgcpxbol fl~ch umolx `$ nbyola xnow pcfbpjb`dc upmucpx$ xnbx oxw howxblgc ipmf xnc c~xpcfox hmi xnc ybpob`dc asohc&gnmph ipmf b$ qodd pcupcwclx xnc pcgoupmgbd mi xnc dclaxn mi xnc pbhoswycgxmp $ mp xnc upm~ofox .bc/2 mi xnc umolx c ml xnc wspibgc mi xnc cddouwmoh xm xnc gclxpc.xnc swc mi xnow qmph upm~ofox `cola `mppmqch ipmf Wop Kmnl Ncpwgncd/, Wsuumwola xncl$

imp wofudogox$ xnbx xnc fl~ch umolx ` ow c~xcplbd xm xnc fl~ch wuncpc$ qnogn hmcw lmx cwwclxobddhofolown xnc aclcpbdox mi xnc rscwxoml: blh xbjola$ imp xnc slox mi dclaxn$ xnc dclaxn mi bxblaclx xm xnbx wuncpc ipmf xnbx umolx: qc fb pcabph bc blh `h bw xqm crsbdd dmla dolcw$mp fb qpoxc xnc crsbxoml

bc 6 `h$ .25,/

oi h `c xnc mxncp umolx mi olxcpwcgxoml mi xnc wxpboanx dolc `h qoxn xnc wuncpc,

72, Nclgc imddmqw xnow ycp wofudc gmlwxpsgxoml+ imp bl cddouwmoh .qoxn xnpcc slcrsbdb~cw/$ ` fcblw mi b wuncpc blh bl c~xcplbd umolx$ xm qnogn xnc bsxnmp qbw dch ` xncimpcamola upmgcww$ `sx qnogn fb bdwm `c hchsgch ipmf upolgoudcw fmpc aclcpbdd jlmql,Ipmf b fl~ch umolx b ml xnc wspibgc mi b wuncpc$ hpbq b ybpob`dc gnmph bh: dcx h `c xnc

wcgmlh umolx mi olxcpwcgxoml mi xnc wuncpog wspibgc qoxn xnc wcgblx`h

$ hpbql xm xnc ybpob`dcc~xpcfox h mi xnow gnmph bh ipmf b fl~ch c~xcplbd umolx `: xbjc xnc pbhosw ycgxmp bc crsbd oldclaxn xm `h$ blh ol hopcgxoml coxncp gmolgohclx qoxn$ mp muumwoxc xm$ xnc gnmph bh: xnc dmgswmi xnc umolx c$ xnsw gmlwxpsgxch$ qodd `c bl cddouwmoh$ qnogn qodd ubww xnpmsan xnc umolx `,

70, Qc fb bdwm wb xnbx oi mi b rsbhpodbxcpbd .b`ch/$ mi qnogn mlc wohc .b`/ ow aoyclol dclaxn blh ol umwoxoml$ xnc xqm hobamlbdw .bc$ `h/ `c crsbd xm cbgn mxncp ol dclaxn$ blholxcpwcgx .ol h/ ml xnc wspibgc mi b aoycl wuncpc .qoxn gclxpc g/$ mi qnogn b gnmph .bh/ ow bwohc mi xnc rsbhpodbxcpbd bhkbgclx xm xnc aoycl wohc .b`/$ xncl xnc mxncp wohc .`c/$ bhkbgclx xmxnc wbfc aoycl wohc$ ow b gnmph mi b aoycl cddouwmoh, Xnc impf$ umwoxoml$ blh fbaloxshc mi blcddouwmoh .qoxn xnpcc slcrsbd b~cw/$ fb xnsw `c fbhc xm hcuclh ml xnc impf$ umwoxoml$ blhfbaloxshc mi b aclcpbxola xpobladc b`g, Xqm wohcw mi xnow xpobladc$ lbfcd `g blh gb$ bpcucpuclhogsdbp xm xnc xqm udblcw mi gopgsdbp wcgxoml: blh xnc xnoph wohc b` ow ucpuclhogsdbp

xm mlc mi xnc xqm udblcw mi gopgsdbp upmkcgxoml mi xnc cddouwmoh$ `cgbswc ox ow xnc b~ow mipcymdsxoml mi mlc mi xnc xqm gopgsfwgpo`ch gopgsdbp gdolhcpw, Xnow xpoudc pcicpclgc xm gopgdcwow ucpnbuw xnc gbswc mi xnc c~xpcfc ibgodox qoxn qnogn ox qodd `c imslh xnbx fbl islhbfclxbdupmucpxocw mi xnc cddouwmoh fb `c hchsgch ipmf xnow fmhc mi aclcpbxoml, Bw bl c~bfudc miwsgn hchsgxoml$ ox fb `c fclxomlch xnbx xnc jlmql upmumpxomlbdox mi xnc hostcpclgc mi xnc

+ Xnow gmlwxpsgxoml nbw bdpcbh `ccl upolxch ol xnc Upmgccholaw mi xnc Pmbd Opown Bgbhcfimp 2>89: `sx ox ow gmlgcoych xnbx oxw `cola pcupolxch ncpc fb `c bggcuxb`dc xm wmfc mi xncpcbhcpw mi xnc Dmlhml$ Chol`span blh Hs`dol Unodmwmunogbd Fbab{olc: ol qnogn ucpomhogbd.lbfcd ol xnc Lsf`cp imp Ksd 2>88/ xnc flpwx upolxch us`dogbxoml mi xnc islhbfclxbd crsb&xomlw mi xnc xncmp mi rsbxcplomlw .o0 6 k0 6 j0 6 2$ ok 6 j$ kj 6 o$ jo 6 k$ ko 6 j$jk 6 o$ oj 6 k/ xmmj udbgc$ bdxnmsan xnmwc crsbxomlw nbh `ccl gmffslogbxch xm xnc PmbdOpown Bgbhcf ol Lmycf`cp 2>87$ blh nbh `ccl c~no`oxch bx b fccxola mi xnc Gmslgod hspolaxnc upcgchola fmlxn,

0?


33/92

wrsbpcw mi xnc pcgoupmgbdw mi xnc wcfob~cw mi b hobfcxpbd wcgxoml xm xnc upmhsgx mi xnc wolcw mixnc olgdolbxomlw mi oxw udblc xm xnc xqm udblcw mi gopgsdbp wcgxoml$ upcwclxw oxwcdi slhcp xnc impfmi b upmumpxomlbdox mi xnc wbfc hostcpclgc mi wrsbpcw xm xnc pcgxbladc slhcp xnc upmkcgxomlwmi xnc xqm wohcw `g blh gb mi xnc aclcpbxola xpobladc ml xnc udblc mi xnc cddouxog wcgxoml,

77, Imp xnc wbjc mi xnmwc fbxncfbxogbd pcbhcpw qnm bpc ibfodobp qoxn xnc fcxnmh mi gm&

mpholbxcw$ blh lmx qoxn xnc fcxnmh mi rsbxcplomlw$ xnc qpoxcp qodd ncpc mstcp bl olycwxoabxoml$` xnc impfcp fcxnmh$ mi xnbx aclcpbd upmucpx mi xnc cddouwmoh xm qnogn nc qbw gmlhsgxch `xnc dbxxcp fcxnmh$ blh mi qnogn bl bggmslx qbw aoycl ol b pcgclx Lsf`cp mi xnow Fbab{olc.imp Kslc 2>81/,

Dcx ~ { hclmxc$ bw swsbd$ xnc xnpcc pcgxblasdbp gm&mpholbxcw mi b umolx$ blh dcx swolxpmhsgc xqm pcbd islgxomlw mi xncwc xnpcc gm&mpholbxcw$ blh mi wo~ bp`oxpbp `sx pcbd gmlwxblxw$d f l d f l$ qnogn islgxomlw wnbdd `c hclmxch ` s blh y$ blh wnbdd `c hcxcpfolch ` xncxqm imddmqola pcdbxomlw;

s.dd * ff * ll/ 6 d~ * f * l{:

y0.dd * ff * ll/0 6 .d

f~/0 * .f{

l/0 * .l~

d{/0:

xncl xnc crsbxoml

s0 * y0 6 2 .2,/

qodd hclmxc .bw pcgcoych upolgoudcw wsgc xm wnmq/ xnbx xnc gspych wspibgc qnogn ow xnc dmgswmi xnc umolx ~ { ow bl cddouwmoh$ nbyola oxw gclxpc bx xnc mpoaol mi gm&mpholbxcw: blh gmlycpwcdxnow crsbxoml s0 * y0 6 2 fb pcupcwclx bl wsgn cddouwmoh$ ` b wsoxb`dc gnmogc mi xnc wo~pcbd gmlwxblxw d f l d f l, Bx xnc wbfc xofc xnc crsbxoml

s0 6 2

qodd pcupcwclx b wwxcf mi xqm ubpbddcd udblcw$ qnogn xmsgn xnc cddouwmoh bx xnc c~xpcfoxocw mixnc hobfcxcp hclmxch ` xnc crsbxoml

y 6 5:

blh xnow hobfcxcp qodd `c xnc b~ow mi pcymdsxoml mi b gcpxbol gopgsfwgpo`ch gdolhcp$ lbfcdmi xnc gdolhcp hclmxch ` xnc crsbxoml

y0 6 2:

xnc crsbxoml mi xnc udblc mi xnc cddouwc mi gmlxbgx$ bdmla qnogn xnow gopgsdbp gdolhcp clycdmucwxnc cddouwmoh$ `cola$ ol xnc wbfc lmxbxoml$

s 6 5:

bdd qnogn fb `c olicppch ipmf mpholbp upolgoudcw$ blh bapccw qoxn qnbx qbw pcfbpjch olxnc 0?xn bpxogdc mi xnow ubucp,

75


34/92

78, Xnow `cola upcfowch$ dcx sw lc~x olxpmhsgc xnpcc lcq gmlwxblxw$ u$ r$ p$ hcuclholaml xnc wo~ impfcp gmlwxblxw ` xnc xnpcc pcdbxomlw

0u 6 d * d$ 0r 6 f * f$ 0p 6 l * l,

Qc wnbdd xncl nbyc

d~ * f * l{ 6 0.u~ * r * p{/ .d~ * f * l{/:

blh xnc crsbxoml .2,/ mi xnc cddouwmoh qodd `cgmfc

.dd * ff * ll/0 6 .d0 * f0 * l0/.~0 * 0 * {0/ 8.d~ * f * l{/.u~ * r * p{/* 8.u~ * r * p{/0

6 .~0 * 0 * {0/z.d ~/0 * .f /0 * .l {/0v$

oi qc olxpmhsgc xnpcc lcq ybpob`dcw$ ~$ $ {$ hcuclhola ml xnc xnpcc mdh ybpob`dcw ~$ $ {$ mppbxncp ml xncop pbxomw$ blh ml xnc xnpcc lcq gmlwxblxw u$ r$ p$ ` xnc gmlhoxomlw$

~

~6

6

{

{6

0.u~ * r * p{/

~0 * 0 * {0,

Xncwc xnpcc dbwx crsbxomlw aoyc$ ` cdofolbxoml mi xnc xqm pbxomw mi ~$ $ {$ xnc pcdbxoml

~0 * 0 * {0 6 0.u~ * r * p{ /:

xnc lcq ybpob`dcw ~$ $ {$ bpc xncpcimpc gm&mpholbxcw mi b lcq umolx$ qnogn nbw imp oxw dmgsw bgcpxbol wuncpog wspibgc$ ubwwola xnpmsan xnc gclxpc mi xnc cddouwmoh: blh xnc wbfc lcq umolx owcyohclxd gmlxbolch ml xnc pbhosw ycgxmp hpbql ipmf xnbx gclxpc mi xnc cddouwmoh xm xnc umolx~ {$ mp ml xnbx pbhosw ycgxmp upmdmlach, Qc wcc$ bdwm$ xnbx xnc dclaxn mi xnow pbhosw ycgxmp mixnc cddouwmoh$ mp xnc howxblgc mi xnc umolx ~ { ipmf xnc mpoaol mi xnc gm&mpholbxcw$ ow olycpwcd

upmumpxomlbd xm xnc howxblgc mi xnc lcq umolx ~ { mi xnc wuncpog wspibgc ipmf xnc umolxd f l$ qnogn dbxxcp ow b gcpxbol fl~ch umolx suml xnc wspibgc mi xnc cddouwmoh, Xnow pcwsdx aoycwbdpcbh bl cbw blh cdcfclxbp fmhc mi aclcpbxola xnc dbxxcp wspibgc$ qnogn fb nmqcycp`c pchsgch xm b wxodd apcbxcp hcapcc mi wofudogox ` gmlxolsola xnc blbdwow bw imddmqw,

73, Dcx xnc wxpboanx dolc qnogn gmllcgxw xnc xqm umolxw ~ { blh d f l `c upmdmlach$oi lcgcwwbp$ wm bw xm gsx xnc wbfc wuncpog wspibgc babol ol blmxncp umolx ~ {: qc wnbddxncl nbyc xnc crsbxoml

~0 * 0 * {0 6 0.u~ * r * p{ /$

ipmf qnogn xnc lcq gm&mpholbxcw ~$ $ { fb `c cdofolbxch ` ws`wxoxsxola xnc c~upcwwomlw

~ 6 d * x.~ d/$ 6 f * x. f/$ { 6 l * x.{ l/:

72


35/92

blh xnc pmmx xnbx ow crsbd xm slox ow xncl xm `c pckcgxch$ ol xnc pcwsdxola rsbhpbxog imp x,Xbjola xncpcimpc imp x xnc upmhsgx mi xnc pmmxw mi xnbx rsbhpbxog$ qc fllh

x 6d0 * f0 * l0 0.du * fr* lp/.~ d/0 * . f/0 * .{ l/0 :

xncpcimpc bdwm$ ` xnc dbwx bpxogdc$

x 6~0 * 0 * {0

d0 * f0 * l0 0.du * fr* lp/ :

gmlwcrsclxd

x0 6~0 * 0 * {0

.~ d/0 * . f/0 * .{ l/0 :

blh fllbdd$

.~ d/0 * . f/0 * .{ l/0 6 ~0 * 0 * {0, .0,/

Hclmxola ` b$ `$ g$ xnc xnpcc fl~ch umolxw mi qnogn xnc gm&mpholbxcw bpc pcwucgxoycd.5$ 5$ 5/$ .d $f$l/$ .u$ r$ p/: blh ` h$ h$ c$ xnc xnpcc ybpob`dc umolxw mi qnogn xnc gm&mpholbxcwbpc .~$ $ {/$ .~$ $ {/$ .~$${/: b ` c h fb `c pcabphch bw b udblc rsbhpodbxcpbd$ mi qnognxnc hobamlbdw bc blh `h olxcpwcgx cbgn mxncp ol b umolx h ml b fl~ch wuncpog wspibgc$ qnognnbw oxw gclxpc bx g$ blh ubwwcw xnpmsan b blh h: wm xnbx mlc wohc hb mi xnc rsbhpodbxcpbd$bhkbgclx xm xnc fl~ch wohc b`$ ow b gnmph mi xnow fl~ch wuncpc, Blh xnc crsbxoml .0,/ c~upcwwcwxnbx xnc mxncp wohc `c mi xnc wbfc udblc rsbhpodbxcpbd$ bhkbgclx xm xnc wbfc fl~ch wohc b`$ owb gnmph mi b fl~ch cddouwmoh$ oi xnc xqm hobamlbdw bc$ `h mi xnc rsbhpodbxcpbd `c crsbdd dmla:wm xnbx b aclcpbd blh gnbpbgxcpowxog upmucpx mi xnc cddouwmoh$ wsgoclx imp xnc gmlwxpsgxomlmi xnbx wspibgc$ blh imp xnc olycwxoabxoml mi bdd oxw upmucpxocw$ ow olgdshch ol xnc pcfbpjb`dwofudc blh cfolclxd acmfcxpogbd impfsdb

bc 6 `h: .7,/

xnc dmgsw mi xnc umolx c `cola bl cddouwmoh$ qnogn ubwwcw xnpmsan `$ blh nbw oxw gclxpc bx b$qncl xnow gmlhoxoml ow wbxowflch,

Xnow impfsdb .7,/$ qnogn nbw bdpcbh `ccl upolxch ol xnow Fbab{olc bw xnc crsbxoml .25,/mi bpxogdc 75 mi xnow ubucp$ fb xncpcimpc `c hchsgch$ bw b`myc$ ipmf aclcpbdd bhfoxxchupolgoudcw$ ` xnc Gbpxcwobl fcxnmh mi gm&mpholbxcw: bdxnmsan ox nbh lmx `ccl jlmql xmacmfcxcpw$ wm ibp bw xnc upcwclx qpoxcp nbw noxncpxm `ccl b`dc xm bwgcpxbol$ slxod nc qbw dch xmox$ ol xnc wsffcp mi 2>89+$ ` bl clxopcd hostcpclx fcxnmh: lbfcd ` buudola now gbdgsdswmi rsbxcplomlw xm xnc howgswwoml mi mlc mi xnmwc lcq impfw imp xnc crsbxomlw mi gclxpbd wspibgcwmi xnc wcgmlh mphcp$ qnogn nc nbh gmffslogbxch xm xnc Pmbd Opown Bgbhcf ol Hcgcf`cp2>83,

+ Wcc xnc Upmgccholaw mi xnc Pmbd Opown Bgbhcf,

70


36/92

79, Bw bl c~bfudc .bdpcbh bddshch xm ol xnc 70lh bpxogdc mi xnow ubucp/ mi xnc acmfcxpogbdcfudmfclx mi xnc impfsdb .7,/$ mp mi xnc crsbdox qnogn ox c~upcwwcw bw c~owxola `cxqcclxnc dclaxnw mi xnc xqm hobamlbdw mi b gcpxbol udblc rsbhpodbxcpbd gmllcgxch qoxn xnbx lcqgmlwxpsgxoml mi xnc cddouwmoh xm qnogn xnc qpoxcp qbw xnsw dch ` rsbxcplomlw$ dcx sw lmqupmumwc xm olycwxoabxc acmfcxpogbdd$ ` xnc ncdu mi xnbx crsbdox mi hobamlbdw$ xnc hostcpclgcmi xnc wrsbpcw mi xnc pcgoupmgbdw mi xnc apcbxcwx blh dcbwx wcfo&hobfcxcpw mi bl udblc blh

hobfcxpbd wcgxoml mi bl cddouwmoh .qoxn xnpcc slcrsbd b~cw/, Gmlgcoyc xncl xnbx xnc cddouwmoh$blh xnc bs~odobp wuncpc cfudmch ol xnc b`myc&fclxomlch gmlwxpsgxoml$ bpc `mxn gsx ` budblc b`g$ ml qnogn ` blh g bpc xnc mpxnmamlbd upmkcgxomlw mi xnc fl~ch umolxw ` blhg: xnc bs~odobp umolx h fb xnsw `c gmlgcoych xm fmyc ml xnc gopgsficpclgc mi b gopgdc$qnogn ubwwcw xnpmsan b$ blh nbw oxw gclxpc bx g: blh wolgc bc$ `cola crsbd ol dclaxn xm `h

.`cgbswc xncwc bpc xnc xqm crsbd hobamlbdw mi xnc rsbhpodbxcpbd ol xnc gmlwxpsgxoml/$ fswxybp olycpwcd bw `h .` bl cdcfclxbp upmucpx mi xnc wuncpc/$ qc bpc xm wccj xnc hostcpclgcmi xnc wrsbpcw mi xnc c~xpcfc ybdscw mi `h$ mp mi`h$ `cgbswc xnc wrsbpc mi xnc ucpuclhogsdbp`` ow gmlwxblx imp xnc wcgxoml, @sx xnc dmlacwx blh wnmpxcwx wxpboanx dolcw$ `h2$ `

h0$ qnogngbl xnsw `c hpbql xm xnc bs~odobp gopgdc pmslh g$ ipmf xnc fl~ch umolx ` ol oxw udblc$ bpcxnmwc hpbql xm xnc c~xpcfoxocw mi xnbx hobfcxcp h2g

h0 mi xnow gopgdc qnogn ubwwcw xnpmsanmp xclhw xmqbphw `: wm xnbx xnc imsp umolxw h2 g

h0 ` bpc ml mlc wxpboanx dolc$ blh xnc

hostcpclgc mi xnc wrsbpcw mi `

h2$ `

h0 ow crsbd xm imsp xofcw xnc pcgxbladc slhcp `

g

blhgh2$ mp slhcp `g blh gb, Qc wcc xncpcimpc xnbx xnc wnmpxcwx blh dmlacwx wcfo&hobfcxcpw

bc2$ bc0 mi xnc hobfcxpbd wcgxoml mi xnc cddouwmoh$ bpc ucpuclhogsdbp xm cbgn mxncp$ `cgbswc.` xnc gmlwxpsgxoml b`myc&fclxomlch/ xnc gmolgohc ol xncop hopcgxomlw pcwucgxoycd qoxn xncxqm wsuudcfclxbp gnmphw bh2$ bh0 mi xnc wcgxoml mi xnc bs~odobp wuncpc$ blh bl bladc ol bwcfogopgdc ow b poanx bladc: blh bx xnc wbfc xofc qc wcc bdwm xnbx xnc hostcpclgc mi xnc wrsbpcwmi xnc pcgoupmgbdw mi xncwc xqm pcgxblasdbp wcfob~cw mi b hobfcxpbd wcgxoml mi xnc cddouwmohybpocw$ ol ubwwola ipmf mlc wsgn wcgxoml xm blmxncp$ upmumpxomlbdd xm xnc pcgxbladc slhcp xncupmkcgxomlw$ `g blh gb$ mi xnc xqm fl~ch dolcw `g blh gb$ ml xnc udblc mi xnc ybpob`dc wcgxoml,Xnc hostcpclgc mi xnc wrsbpcw mi xncwc pcgoupmgbdw mi xnc wcfo&b~cw mi b wcgxoml xncpcimpc ybpocw.bw olhcch ox ow qcdd&jlmql xm hm/ upmumpxomlbdd xm xnc upmhsgx mi xnc wolcw mi xnc olgdolbxomlwmi xnc udblc mi xnc wcgxoml xm xqm fl~ch hobfcxpbd udblcw$ qnogn gsx xnc cddouwmoh ol gopgdcw:blh qc wcc xnbx xnc lmpfbdw xm xncwc xqm dbxxcp mp ggdog udblcw nbyc upcgowcd xnc hopcgxomlw

mi xnc wohcw `g$ gb mi xnc aclcpbxola xpobladc b`g$ qnogn nbw imp oxw gmplcpw xnc xnpcc fl~chumolxw cfudmch ol xnc impcamola gmlwxpsgxoml; wm xnbx xnc bs~odobp blh hobgclxpog wuncpc$cfudmch ol xnc wbfc gmlwxpsgxoml$ xmsgncw mlc mi xnmwc xqm ggdog udblcw bx xnc gclxpc b mixnc cddouwmoh, Oi qc xbjc$ bw qc bpc bddmqch xm hm$ xnc umolx ` c~xcplbd xm xnow wuncpc$ xncl xnchowxblgc `g mi xnow c~xcplbd umolx ` ipmf xnc gclxpc g mi xnc wuncpc ow .` xnc gmlwxpsgxoml/ xncwcfowsf mi xnc apcbxcwx blh dcbwx wcfob~cw mi xnc cddouwmoh$ qnodc xnc pbhosw gb mi xnc wuncpcow xnc wcfohostcpclgc mi xnc wbfc xqm wcfob~cw; blh .` xnc wbfc gmlwxpsgxoml/ xncwc apcbxcwxblh dcbwx wcfob~cw mi xnc cddouwmoh$ mp xncop upmdmlabxomlw$ olxcpwcgx xnc wspibgc mi xnc wbfchobgclxpog wuncpc ol umolxw qnogn bpc pcwucgxoycd woxsbxch ml xnc flloxc wxpboanx dolc `g oxwcdi$blh ml xnc upmdmlabxoml mi xnbx dolc, Xnc pcfbolola wohc b` mi xnc wbfc fl~ch mp aclcpbxolaxpobladc b`g ow b wcfohobfcxcp mi xnc cddouwmoh$ hpbql ol xnc hopcgxoml mi xnc b~ow mi mlc mixnc xqm gopgsfwgpo`ch gdolhcpw mi pcymdsxoml: b upmucpx qnogn qbw fclxomlch ol xnc 70lh

bpxogdc$ blh qnogn fb `c wccl xm nmdh ammh$ lmx mld ipmf xnc pcgclx blbdwow gmlhsgxch` xnc Gbpxcwobl fcxnmh$ `sx bdwm blh fmpc wofud ipmf xnc acmfcxpogbd gmlwohcpbxoml xnbx

77


37/92

xnc gmlwxblx pcgxbladc slhcp xnc xqm wxpboanx dolcw `h blh bc$ ol xnc gmlwxpsgxoml$ c~gcchwxnc hms`dc bpcb mi xnc xpobladc b`c$ blh xncpcimpc c~gcchw xnc pcgxbladc slhcp xnc fl~ch dolcb` blh xnc ucpuclhogsdbp dcx ibdd xncpcml ipmf xnc ybpob`dc umolx c mi xnc cddouwmoh$ c~gcux bxxnc dofox qncpc xnc bladc bh` ow poanx: qnogn dbwx gmlhoxoml hcxcpfolcw b gopgsdbp dmgsw imp h$blh bl cddouxog dmgsw imp c$ lbfcd xnbx cddouwc mi gmlxbgx bdmla qnogn b gdolhcp mi pcymdsxomlpmslh b` clycdmuw xnc cddouwmoh$ blh qnogn ncpc upcwclxw oxwcdi bw b wcgxoml mi xnc gdolhcp `

b udblc, Xnc pbhosw mi xnow gdolhcp ow crsbd xm xnc dolc `a$ oi a `c xnc umolx mi olxcpwcgxoml$howxolgx ipmf b$ mi xnc wohc b` mi xnc aclcpbxola xpobladc qoxn xnc wspibgc mi xnc hobgclxpogwuncpc: qnogn dolc `a ow bdwm cbwod wnmql$ ml wofodbp acmfcxpogbd upolgoudcw$ bw b gmlwcrsclgcmi xnc wbfc gmlwxpsgxoml$ xm `c crsbd xm xnc gmffml pbhosw mi xnc xqm gopgsdbp wcgxomlw$ mpxm xnc fcbl wcfob~ow mi xnc cddouwmoh$ qnogn ow ucpuclhogsdbp xm xnc apcbxcwx blh xnc dcbwx,Nclgc bdwm xnc wohc b` mi xnc aclcpbxola xpobladc ow$ ol dclaxn$ b imspxn upmumpxomlbd xm xncxnpcc wcfob~cw$ xnbx ow xm xnc fcbl$ xnc dcbwx$ blh xnc apcbxcwx$ mp xm xnc fcbl$ xnc apcbxcwx$blh xnc dcbwx$ mi xnc xnpcc upolgoubd blh pcgxblasdbp wcfohobfcxcpw mi xnc cddouwmoh,

71, Pcwsfola lmq xnc rsbxcploml impf mi xnc crsbxoml mi xnc cddouwmoh$

. * /0 . /0 6 2$ .2,/blh fbjola

* 6 0 0 $ 6 0 0 $ .0,/

blh *

0 0 6 R$ *

0 0 6 R$ .7,/

xnc xqm dolcbp ibgxmpw mi xnc flpwx fcf`cp mi xnc crsbxoml .2,/ `cgmfc xnc xqm gmlksabxcrsbxcplomlw R blh R$ wm xnbx xnc crsbxoml oxwcdi `cgmfcw

RR 6 2, .8,/

@sx ` bpxogdcw 2? blh 05 .Unod, Fba, imp Ksd 2>89/$ xnc upmhsgx mi bl xqm gmlksabxcrsbxcplomlw ow crsbd xm xnc wrsbpc mi xncop gmffml xclwmp: xnow gmffml xclwmp mi xnc xqmrsbxcplomlw R blh R ow xncpcimpc crsbd xm slox, Swola$ xncpcimpc$ bw ol xnmwc bpxogdcw$ xncdcxxcp X bw xnc gnbpbgxcpowxog mi xnc mucpbxoml mixbjola xnc xclwmp mi b rsbxcploml$ xnc crsbxoml

mi xnc cddouwmoh pchsgcw oxwcdi xm xnc impfXR 6 2: .3,/

mp$ ws`wxoxsxola imp R oxw c~upcwwoml .7,/$

X

*

0 0

6 2: .9,/

qnogn dbxxcp impf foanx bdwm nbyc `ccl m`xbolch$ ` xnc ws`wxoxsxomlw .0,/$ ipmf xnc crsbxoml.7,/ mi xnc 75xn bpxogdc .Unod, Fba,$ Kslc 2>81/$ lbf

hamilton - on quaternions

Documents