4116rq rdooepoororXeiorqg eltrqvrxrlgoplar6tqro5 ro flup
-r1<p<rlrrdr-pav ereivorrou ouprp6fu(reov npdororporor ar-
c6vrope'ropoll6pevolcporrrlpo'rou lfprravrog. O Hpdrler-
ToS/o onoiogevdproqrrepirrouqlc6v,lrrprvo116rov Aptoro-
ritrq ro erle6e10e<f o5Oepretrroorduoror-trdrou l6prrravr-og,
rrioreue6rr q rrpoypotrx6rqroqrav prraouvel(g 6lepyooiu
M^ot4S ror f(yveoOoirv, o 6uvoprr6Ifpnov oe orcSvrpoor1.
Ynoorqpr(e6rt ro povo6rr6npdypo rrou 6evdltro(e q'rov11
6ropr(gollcrt4 rqr 6rr p6voto flup r'rov orotXeiopoorr6rar
qrc6vro.
Tov19osrcbvqircqverqv eprgdvrorol u dvog<rlqpov6pog>
rrlg cplaiog eltrqvrrcr<lgp<orrdog,onoio5uloOerqOrlroen6 rtg
guorr<degnrorqpegrqt orrordleoerc,vnuprlvcprogevr-elcfg
rorvoJpyrogylc6ooogyrq rrlv rrepryp,ocrp<qovollqlenr6pd-
o€(DVKorrrl9 rivqor15T. o6voprdrou rlrov evdpyelo.
urGlvlKryEuvm;*r
KGruBroFqxcrvlKrr1
Encrvdorcroq
Ko'rd'roug 6rio orc6vegrrou qrolori0rloav rqv eprpdvrorrlou
vrur(DvrKoddpyou,q guorrrl, orrd errrorqprlneproproprfvqvo
y(vel-orov'rrtrqrrrrl on6 fuyo erlerrd rrve6prorc, perorpfrre-
rcr paOproiqoe utrrr( 66voprqrrovli vo oltrdfe r pr(rrd rov
rpdno (oqg otr<irlnpnsrqs cv0potrdT rlros. Tov 1Boorc6vaq
rTrqovpee6(oproril<goooqnrpnesrvce6uvrsF<r orqvorrlrel6grrurrvlo rtipqrq rrou ouv6d€ rorFs
plrcr1T5o. y6qtpo rou Ne6-
ro)vq iler 6rorrorioerrq ordrqq dlcov oXe66vrc'>vspsuvqrc6v.
Kd0err rrou 0o erre6icorevo {enepdoa ro ofvopcxrou v€u-
rovropo6 gotv6rav rrepitrou Xcrrpi'vS<iqpo,evc6nopdtrtrqla or
dvOparnoreilov oplioer vq rrtore6ouv 6rt rtvo6pevororo t-
orrrrepr16rou v€urovroptoJ,0o prnopotiocvvo o6qyq0odvoe
o l q 0 e r e ga r c 6 v r e g .
I
h
e
H IAOIIA THI ENEPIEIAI
Iro pero{6 o l Bogotcivqs orlpCI6su6rovKol qrr6 rrlv loro-
prK{Soqpoofos otrloyrl rrou 6X€lsnrKpdr4o€rvCIXqpCIKrrlpf-
(eror og BroprlXovrrqEnovdoraoq.
ErxrivoondopoFtrd T
lerpdyporqoou12ou
h
ordrvollo. ptordvet
UroInxovti e
yro6vr[novnepof.
Eivcrr1perdpooq orrdT rl X€rpcrrvqKrrrerlpyoo(a orn HnXc-
vrxq proprllavio, 11ono(o dltra{e olor}qpcortrd'ro p6}o rrou
pdxpr r6-rt f.tan(e o dvOpcorrosorrlv ncrpoy<oyru1ltrriv rqt
f i v € u p o r r K c 6ov { r 6 v .
H rorvoripyro pi0o6og nopcry<oyr1o5no6e(10qre ivo H€Yd-
tro oXotre(oyrCIrrlv €'Inornpovrrqyvc6oq.Arrd,rrlv dMrl, o dv-
Op<orrodgpXroevo KUPtqpXerri dvcoorq g6oq Kcxvl q rrlv sK-
perollederct ;r' fvo rp6rro toroprrd fiptr-To{pGV(6, ropopg<6-
vovrds oryd oryd qnivsvr( rrls Froordorl BcxpBap6trltog-
Mto qrr6T rgpoorriS ouvtorr6oeSrr15EiroprllovrrqSEnovd-
orqorls qrov q ovordtrurprlrrls prlxqvnscxrpo6,11onoio o{lo-
H IA C )>:ATH : E N E P IE IA I
fioro6os rrl (66vcprl) rrou Kpup6rqv Ftdoqoro rdppouvo.
H orpoprllqvn fiou ovCIKdlu\uovor Ayylor rrpqKrrKoipn-
XqvtKoi KorKUpfoSr1petrri<ooqrrls l'lv dp6opq6exoeriq'rou
orc6vqofi6 rov JamesWatt, igepe pro nlrlpprjpCI€q€upio€o)v
nou dtrlo{qv rrl Hopgn 'rou ov0pc6nr\/ounofurro;rod.
Mdoc o'ourd ro rrlqioro or errroT{prov€Sdpxroovvq ufio-
r{rd(ovrordrr,crr6 fipoKrK4 dnoprl, orv€uro)vrKoivdporqrs Ki'-
vrlons rar 11ivvoro rns opF4S6evrlrov nopd p6voivo {erivqpo
yrq rrl pelirq rtov qllrllenr6pdoerrlv r(orrrls KfvnorlsKor6Xrrl
rordtrq€r1d, ,ncogerle gavei or4v opp1. Krou, 6 yrori q v€urrrlvr-
rq 6uvoprrrr6l evpnopodoevq 6<6oerrKovofiorrlrrxrol nd-
vrrlorl oe epcrlrr;porcfxiou or rrporofi6por rq5 propqlovr-
rrlg enovdoroorlsovrprercinrZiovrcOqpreprvdT.rlperd-
(eror yro vo yevvrlOei;rio66voprl;ncrls0o prnopo6oeq
veur<ovrrq6uvoprrr<vra1 e{qyrloir Tq 66voprlnou rpupd-
rov pdoo oro r<o6orpof;1<.rrOgrxprnopo6o€vo pelerqOef
srrrorrlpovrrd11rol6repq un66oorl rrls HqXcvqSarpo6;
To npdyporo o6qyq0qrovorvd oryd orq 64proup-
Ir4v yxpopo0poo veop<5q yio prug rarvodpyros €firorqpovrrrig dvvorug,q o-
JamesWattqKenrrK6q 'noio, Xtopisvo opcproprlrrloerrrg pdoergrrl9 vsurovr-
Unpoordoe prog4lovrxri rqg 6uvoprrqg,ouvdpole orq pere{dfu{rr1qg. Me rqv
owtrfo,
ndpoEotou 1p6vou q <orvo6p1,rdoworo e{eliX0qxer<or
xordqepe vo €vofiorrloer rdrro qrr6 ro orqrrrpo 'rqg
rrpciypor-orrou 6ev gorv6'rov 6110s pnopodoov vo d-
louv r<drrrorv6, Srrcrlgq 0eppdrqra, 11r<ivqoqo, qle-
rrpropr6g,ro (p<oso, 4XoSr<arq 6tivoHrirrou r<priperor
oro rcodorpqH. rcrvoriproor-rrqivvoro eivsr q evdp-
yera. I'rr5 opX6Srou qrcirvqprcrgcrrord,\eoedvq pcorrc6
voqrrx6 5rrtrorrls €rnorqpovrr<qgerrovdorqorls fiou
npor<dleoe110ecopiorcov <fidvro Kqr q 0etopi'orrlg
olerrr<6Tr1rog.I(pepc Oecrrpirrot K€vrprK6gevorrrr<ci5
nupqvog rrls quorK(g enrorrl;rqg,evc6rour6Xpovu rr1
ouv6der p€ rrS dtrleg errror(1.reoglld ror Fr rrlv ov-
0pc6nrvqrelvoloyr r<rb; poorq 1tcrirrlro.
Ir4v yxpoBoriponoprordveror O a o p X i o o u l - r tv o p r e l e r d r € r r l v e v i p y e r o K G rr q
o166roev6golriporoq ylc6ooo rqg, {ercrvcirvraog116rq o1dor1rrls Fs rrl vsu-
xrvo0pevoupeorpoy4lovli
r<ovrr(Euvoprrrrl.
(176s).
-e
F 'T] A O :IAT I]: E NEPiEJA:
I
I
'Onore 0elqoer o dvOporrlosv, o preyolcioer <dnoro
66vopq,ro xorocpdpv€pr€ Hro€r..)<oliesvruncooror(.
flcxfpvedr vo poXl6, rov orqpi(erndv<rr oro urnoprdXlro,
oorcei oro dvo drcpor<dnoropuir<rSi rivopqorrcireoro
dllo drpo epcpovi(ercrpro 66vopr1rrou 0o prrropo6oe,
l6you 1dprv,vs eivsrrprrrldora.
'Orcrv preiver qrr6ldorrXo, orqpi(er r<old rov yprjlo,
oor<ef 66vo;rr150 N rsr un6 rrlv dllq rrtreupd epguvf-
(e'ror6rlvapq5000 N rrovq va oqxc6oIero ouroKivr1ro.
" d =F , - Krorc6propnopeivo rgpevdpepr rrrpoordorov riv6uvo.
5 0x ? 5- 5 Jo A,o 2 s Ko0c656qlo6q o6r1yie, qoKei pio oXerrrcdFrKpfbrivopq
pe ro 6e{i 1166or ro ;reooionevrd} r<orouprpaiv€rro €K-
rrlrlrrrr<5yeyov6g,6orepo ond ,liyo,vc oKrvrlrorrorEirsr
old<lqpo ourorivqro. Av oroporquoupee6c60, o rpovef
6rr q 66vopq eivorrdrr rrou pnoporjpevo ro preycxkivoul.Xr€tll-
p(grovivo ripqpo. To npdypcrq 6erreivorSpcrr6gror. <,\yopd-
(ovro5> 8rjvoprlr<drrnlqpc6vouH€orxoo6rirrore.
A5(cxvo6o6prsS npoqycfpeve58poorrlprdrrlregond rqv op1q"
florpvovroqprdocroou po$orj Srjvoprrlprrr]droroon6 er<eivrqrou E-
{oor<qoope<,rlrlpovoups) o€ 6pdpo.frq vcxner6loupe,6qtro6q,
oro dtrlo dr<pooprop6vqperur6rnoq,0o Xperoore1i 1perordrrroq
rrou 0o rporccrtrdooupo€ro oqpeionou epeii oororjprerr18rivoprl
rqr eivqrrouldXrorovrprrrldoro.fro vs ayopdooupe6r1Ao6rqpr-
nldoro 66vapq,npdrrervo rtrr1p<iooupreprrrldoro6p6prol.ro vo
ovug<o0er(o ourorivrlro,F€rr1porlOerroou yp6Aourord 0,25e-
roroord, rrpdrrer vo psroKrvqooupreo orlpriodrrouqorof perq
56vopqrord 25 erorootd, 1006qtro5qqopis neproodrepo.
I
e
I [A.O:IATHI ENEPIAE)
Kdr-rovdloyo ouprpoiv€or ' d,trege<e(veg'rrg6rord{srSrrou
dloupe enrvoqoeryro vo pag notrtrouAoord(ouvrrg 6uvdprerg
rrou 6ro0iroup€ Korrrs trdpeorrldg pr11avdgK. epbf(ouptos
66vopqldvovrog oe 6p6po r<arpdtrroro,6oeggopds r<ep6i-
(oupe oe 66vopq,r6oeg qopds Xdvoupreoe 6p6po.Eivorpro
rrol6 rrqlrd eprr;reprr<r61rorrior<ooq.O lpuodg xovdvos rrls
prlluvrxrig, dtreycxovr cxploior.
Aur6 ro <ldvoupre-r<ep6i(oupprerr>ropod;rv€o ro neprypd-
qroup€ror 6rogope'rrrd.Ie rdOepro nepin'rtrloqro yrv6prevo
66vctprx1 perar6rnrorl,rrou e;rcpovi(rrororrl pro ntreupd tns
onArlg HrlxCIv{Se,ivqr ioo ps ro yrv6prrvo66vapr1xp*ar6mor1
rrou spqqvf(etcr orqv dllq. To yrvdpevo50 N x 25 cm orrlv
rrepinrcooqrou yp6trour;rov ioo ps ro yrv6pevo5.000 N x
0 , 2 5c m .
Mnopei ouven<69pro pr11ov(vo H:IS;reyol<6vrerq 6rlvcpq,
olld rqv noodrqro 66vapr1x perar<ino4 6ev pnopef vCIHoS
rq ;reyotrcOoer.
Av Oflope Aorrrdvvo qrrorrpqoouprerrlv €pyooio rou qv-
0pc6rrourrou <rveirr1 pqlovq, ro tro'yrrd0o qrov vo pqv nd-
poup€unoqq ;r6vorq 66voprqrrou e,idorrlor 4 pr6vorr1H€rc-
r6rrroq rrou fipoyprororroirloe,otrld vo rov nlqpc6ooup€l-r€
pdorl ro yrv6prevo66vapq eni ptrar6moq. To yrv6prevoqur6
ro hdpedpyorqg 66vopqg.
frq ro oupBohopr6rou ipyou, dler errrrpcr-qorero ypdppo W,
oplrd rqg oyytrrr<4liS€rlS Work, notr orlpaiverepyooio,dpyo.
Og povd6a perprloecoXg pqorporrorireor ro 1 foule, ro dpyo
66vopqg1N oe peror6rrroq1 m. Iuppoli(eror pe 1 J.
I - 1I A O :IA T F ]IE NEPIEiAI
r noooTrlTo
r e v r l€s v ( S P Y e r o s
h
rpo Fero pdpogrou.
Agavo(rlrqoou;rerq crXiorol vdpeoaorq 6rivoprqro,
6qoSKqrro roUorproK.dvouperrg iiro6olrdg prerp(oerg
KorKcTtrypdcpourpse orroreldoprotaoerr(vqro.
Arivoprl 'Yqos 'Epyo Korovdl<ooqoe dyr<o
F V
2F n Fh 2V
F n 2Fh 2V
2h 2Fh 3V
F 3h 3Fh
Ta ou;rnepdopor-o.H noodrqrcr pev(ivr1geivqrqvd-
loyq npo5 ro 6pyo. Blirroupe 6r1la6r1yrq ro yrv6;revo
66vapq x perar6ntory €va m<6pqyv6propo.'O'rr prropef
vo ;rerpr1Ots(r6 rqv rroodrqro r<ouoi;roufiou KqrGVo-
trc60qxeyro rrlv rrpdypCIrorroiqoqrou cAtrdKGrvd perprloer
ourrl rqv noodrqro.
Mdlprg e6c6yvtopioope ro fpyo oCIvFrq noo6rqru 4 o-
rrois:
o eivqr q66vqrov va ou{40ei ond yrorpqlav{
r prropeivo perpq0si qrrd r4v rroodrqro rou rauofpou
rrou {o6edrnK€ yro rrlv lrpoyparorroi4orri rou.
fro rq <puorrqro yrv6prev6o6vapr7x pt:rar6nton V€rrg 66o
rroporrdvcor6rSrrlregprogperpdsr rrlv noo6rrlro peraprpo-
(Spevqgevdpyerog.Me dtrtrol6yro ro i,cyo eivat noo6rrlra
perappa(6yevqq evi.pyerog.Kcx0c6ogorodpreorov ypritro6rj-
vopq 50 N rqr q prerordrnoqeivor O,25ntro yrv6prevo50 N x
0,25 m:1,25 r(doul eivor11peroprpo(tipevrol rov yp6troe-
vdpyero.H evipyerorrou preroprpd(eor y1>6troo9ro auroxivrl-
-e
H TA OIIATH : E N E P TE IA I
ro 6€v Frrop€i'vq€ivsr FsyCIl6r€pqCIlr61,25 r(dorsl,.
Eprntrouri(ovrroovso1clopo
rou €PYou
Ie 6lq ro pdlpr tc6po nopoSerypCIrCrIl oor<ofpevrloro oc6pro
66vopqerle rqv i6ror<ore60uvorFls'rr1;retardrrroqrou orrdre
eryapreperopipooq evdpyerosnpos ro oripc. To fpyo rqg 6ti-
vCIprlqo' ourig rS rr€prfirriloergOeorpie'rore{ opropotiOerrr<6.
M46evrrddpyo
O6qyodpedvopqlovdrr preoroOeprrl'o16rq'rorqr rqrcxvslc6-
voupspdporcpev(ivr;y, rori oprotrrlvqoqoqproivredrr perr1
porl0erorns pnXGVrlu5rrepvrrccbvroqrrqvrrordosrsKoror rpr-
pig. Av Oetrrlooupveo ou{(ooupsrrlv rolrirrlro npoo6f6o-
vrss oro 6irpoXoerrrrdXuvol,0q i1'oupree,vvoeirqrpeycrl6-
rsprl Ksrdvdlcoorl.Av 6pcog0elrloor-rpveo rrdpoupeorporpq
perol6rqrq i6roupirpou, nap6lo rrou spgqvi(e-roKr svrpo-
p6tro5enrrdXuvoq-nou 0a pnoporicreprdfuoron rrFn rrls vq
{errepvderrqv enrrdXuvorHl rqSon6ropqgerrivrlorlg-Sronr-
orc6voupr6err q rorovdlcooqpev(ivr1,;6ervrpd,rerrovro .ru€rl-
0ei H xevrpop6tro6grjvopqt,rorrrdvT, rouooreirororo FnxCI-
vdrc6r evou{dverrrlv KdrovdlcrloqA.v 0u;rr10o6prce6poour6
rrou einoprsrrporlyouprdv<6o151,6qtrcr6'qro 6pyopre'rprf'roprre
rq pev(ivqrrou Korovol<6verqyrro \,o fipcypqrorrorrl0ei0o
npine rvo 6e10odp5err q revrpop6krg66vopr61e1ver<relie5p-
Yo.
l-rqvq <orpirlrrr>lorrr6v dvu rrvodp€vosvrrK€fpevolper-
&1etonontoo6rinorr vo aox4Oei66vop4 oll\ti 6evlperri(e-
l:
e
H IAOIIA TH: ENEPIEIA)
ror Ftrqpfpooq evdpyerogA. v Oecoprlootr6pret 11rivqorlev6g
relvrpod 6opucp6poeuivqroprotrqrurfurrl ro yeyov6q6rt o'ro
r r v o d p e v os u ' r 6 q v r r r e i p e v oo o r e i r - o r6 6 v o p qp o p d r r l r o g6 e v
oqproive6rrrrou percprpd(eroer vdpyero.
flpdnerouverrc6v5o orro6el0orjpe6rr 'rv q ooxo6pevqo' i-
vo ovrrreipevo66vopqeivorrdOe'rqorrlv ro1ltqrd rou ro
dp]rorns eivor;.rq6evr1A66.prre6re 6rt orr)ovrrK€fpre6veovpe-
roprpd(erarevdpyero.
'Epyoopv4rrr6
O epydrqgorrlv err6v(r rpoofioOevi o ou-
yrparrloerro ropdror, ro0c6gereivorov
nopoofper.
To rop6ror peroprpd(r.or rov epydrrlevip-
Y€ICI.
Av OeoprloouFr€.oco;dt;ta ro rap6ror
prroporipevCIficpdrnprlooupe 6rr:
r) H 6rivoprlfiou qoreiror o'ou,d qrrd,ro revrcoprivooror-
vi 6Xerrcxre60uvoqovriOerrl crr6 rq perordrrro( rou.
rr)H eni6pcon rrls 66vopr1gour(g ouvijderqrF€ro yeyov6g
6Tr ro rcpdror peroprpd(er evipyera.Av rdpopre,611lo61r1o
ororvi our6 6ev0o ouviporve.
I' ourdg rrs rr€prrrrc6oerOg ecopotip6e'rrro dpyorqg 66vc-
pr;geivarcpvrlrrr<6.
"EpyoorCIesp{S66voprq<;
Euv6ud(ovr-o6gla 6oc ovacpdpOrlrcor.vr,rropotip'rce6povo
6c6ooupyrredro dpyordrrorooprop6[.1pogro nop6v0a 1per-
qore(vo Oecopqooup5err q 66vopr1rrou crrele( ro ipyo eivor
oro0eprlrqr 6'rr11ri'vqoqrrpqypororroreiroore eu06ypqpFn
rpoXrd.
fl oporotrou0o6;.irveo eu06ypqFrFron'o6pevoovrrreipevo
oro orroioqoKofvrqr6rdcpope6guvdprreg.Iuyrevrpc6voup€
rnv npooox4pcSos proorr'ourig (F)-r1,)rroioro'rd rq 6rdp-
rerqrdrrorogprerordfirorl(sx)nopo;riveroraOepq-ror ev6rq-
gep6poorsyro ro dpyorr1g.
h
e
H |/TOIIATHI ENEP|EIAI
E_ d_Wveri.v:qrW0rq,*yWorryviKo or<t€rlgv66roqovvulou;v.rr,d: r<0.r0Flovroerivia0rWo ,e:ivqWr r" : F"X.
F, = Fouv0orr6re W, : Fxouve.
Fy
W = Fxouve
'EpyomoOep{dqrjvopqoqerivqoq
eu0UypopTpo4o.rippolFrroorr
noproTdvoroupvdrpoTov0vrfoTot1ov
drovuopdrov.
M e p r r c d< o n o u 6 o i o ud p y o
I
o
Hf^o::ATEHN:E''ETA:
Ifl
Ai To dpyorou pripoug.Oo unoloyioor.rpnepc6roro dpyo
rou pdpousyrq p€roro'nio1e5HrKpr1dSrrooqg,drorc6oreq
li popurrrrlenrrdXuvor(ld vc eivororoOeprj.
22f lipcpcovop€rov oprop6rou dpyou:
o) Kord rrlv KoroKdpugnrivrloqev6govrrrerpivounpos ro
rdr<oro ipyo rq5 66vopqSFdpoq(mg)1'ropreror6rrrohq ei-
v0t
w:m8h
P) Kqrd rrlv KqroK6prqnr<ivrloqnpos rrx rrdvcoro dpyorou
pdpougeivoropvqrrr6rsr ioo ;re
W : -mgh
i y) fro orroro6rlnoroepr(6vrropetarSnroqro ipyo rou pd-
pougeivorpr16iv.
Mro ruXoio rdlog ;rerorcivrloqevdg(oqpeiorori)o-
vrrrerpdvoupnopei vo 0ecrrpqOe6(t fipoyFororrorei-
rqr Hsororlerc66erogpr(6vrr€SKotr<oror<6pucpp€€Sro-
rorrioerg 6rrore ro dpyo rou pdpou5 unotroyi(sror tos
dOpoor pcxr<rrvov'riororxov ororlt rco6c6ivpy<rlv.Ecp6-
oov ro ipyo oe 6}egrrg opr(6vrregperarorrioerg0o ei-
vor pq6evrrd,prnopo6p€vo orro6er{oupre6rr
W = mg(h'-h,)
6rrou h, ro opXrxdror h, ro refurd 6qoS (o116rdrroro opr(d-
vrro errrcpdverco)ro orroio ppdOqrero cxvrr<eipevo.
Ko0r65lorrr6vro ovrrrefp€vop€roKtveiror ond prroOdoqoe
dtrIq ro fpyo rou pdpougeivorove{dprn'ro srr6'ro ei6o5rqg
6rcx6popq5H. rrprl rou e(oprdrqr qnd ro pdpog r<orand rqv
utPop€rprKqErogopd r<ov66o 0ioe<ovr<ureivcrr0errr<rS1rov
'ro ovrrreipuo ydvet 6WoSKqtqpvrlrtr<qr5'rovro ov'rrreipevo
xep6i(et6qoq.
Eivorcpovpe5 5tr,6rov q 6ra6pop161r<xvu0eofvr(orpocpo,
ro dpyorou pdpougolld(e r npd,oqpo,6q\o6(
W(2,1): -W(1,2).Eno;rivosro ipyo rou pdpougyro rctrerorq
6ro6poprl6, n<o5ourq rou oXrlporog,eivorprq6iv:
Auvd;rerg6rr<o5ro pdpog, r<ovorroi<rrvro dpyo oe rlerorrl
6ro6pop( eivor;rq6iv, XCIpcKrrlpi(ovrorinrripr1nrctq,.
To dpyo r4g rprprig o)\fo0r1or1glr.o eurolfo og Oe<opqooupre
I
h
€
H TA OIIATH : E N E P IE IA I
rrlv Kivrlor€l v6SqvrrK€rFdvoou€ sue6ypqppqrpoxrd.
To ipyo rqg rprpqgotriogqoqy,;ro preror6nroqx 6ive-
rqr qn6 rq oXdorl:
W, : T x ouv180' orrdrerff, : -Tx. To dpyoour6
eivorrrdvro qpvrlrrK6I.e prrcrrtrerorr6l ro6popqt,ror-
rrdv,eivcrq66vorovva iXoupeipyo rptptlgpq6dv.
H rprprlolioOqoqg6evovqrerorq\rKorrlyopio<Tov6uvd;re-
rovrrouldyovror6rorr;pq,rrig. Eivorprc6rivopqpr16nrr7pr1n-
xq.
To dpyor45 6rivop45elor4piou. fro vo errrprqrdvouipvtq e-
trorqprorrpdrrevr o oorqooup€orCIrirpo rou 66oovriOereg
6uvdpergA. v ro dvqrou drpo eivorqKrvrlrofior4prdqvror6 ivq
orrlpryporrl proorrd ourdgrrg 6uvdpersrrlv qoref ro orqpry-
po. lro rqv dtr]qpnopodpevo ypdrpoupr€qv e{iocoorql o-
rroio ercpp6(ero v6por-ouHooke.
O6loupevo unoloyiooupeto ipl'o rrou erretrefq 6rlvoprq
autq oororipevrloro drpo A rou elcn-rlpiouoro0epdgk. Aev
prropo6prveo rororpriyouFro€ro yrv6l.rveo 66vapr1eni puar6-
nrcrl yron(rcord'rq6rdprerorrls €rrpqruvoqg(x ) q 6rlvopq
6evnopaprdveorrsOep{.Av ecpopp6ooupF€rCoI uyrerprpr6vq
relvrrq prnoporipevo orro6ef{ouprceirrro dpyo(W) eivorioo
I'rt:
w = r k1 x '
H e{(oooq ourrl pog 6iverro 6pyo rqg 66vopqs, q onofc o-
oreiror oro drpotou elorrlpiou ro0<69aur6 errrprqrdverqqr-
116ro cpuorr<r6ou prqrogI oe prp<og1,o, n6re x:t-{r.
E{urroro6erqr 6rr ro 6pyorqg 66voprlsrnv orroiq sorcei'ro
elcrqpro oro oc6porrou ppior€Tqro1-odrpo rou eivorqrrol6-
rcogioo I,r€ro nporlyo6pevoqlld opvrlrrr<6l.-lop6porege{roc6-
oergroX6ouvrqr rord'rr1 ouprrrieorl,f,uelarqpiou.
I
o
H IAOIIA THI ENEPIEIAI
Agcpovroorori;.drevc oqperor6ov'rrreiprev;,ord(o5m cpXrrd
orivqro alsrrposrdnoro o6o'rqpoovcgopdg.AgurroOioou-
pre6rr oe rdnorq lpovrrrl orryp{/ rrou rrl OecopodpoepXrlrorv
lpdvov, qoreiror oro qvrrK€fpev6o6vapq(ouvroropivrl)r1o-
noio orq ouvileronopopdveor roOepr;.
Av poororo6peorous v€urcrlvrKorvjcgi;rouSp,rroporipsvq
npopliqouFr€rl 0o iler ouppei dorepoo116rqv ndpo6o1p6-
vout rqrd rov orroioro cxvrrrceipe0vqo61r:pr e'rcrorrrmeriqrd
x. lipcprr:vCII,r€rov 6efrepoveutotvrr6vci;roq rivqoq0q eivar
eu06ypoppqopald errrrcrXuvciFsKvGn0r o rcryrrie: F = mq (1)
Iro rilog rrlg 6rdprerCtISrl rcrXtirqrororJqvrrKerprivo0uq ef-
vor:u = of (2)Korrl F€rqr6rrroqrou 0q 6iverqrarrd rq oXi-
orl:x=1/roit(Sl
Merur6rrroq,6prcogp,o(f pe6rjvoprl(i6rorrgqre60uvorlso) n-
paiver6rt oro ovrrreipevoperoprpd(ercr vipyeroW = Fx(4)
4116ng rdooeprge{rocboeorguvdyerodr rrW = mo'12
H evipyero6qlo6r1rrou peroprpdorqxeoro opXrrcodrivq-
ro ovrrxeipevo(rcoer rleoov ouvirrersvc orrorrrloeroproprivrl
rol6rqro u) eivqrioq pe 1/zrfitJ2
Ag ev6ra<pep0o6;yrer' aurq'rqv rroodrqro. Avocpiperaroro
rrvo6pevoovrrreipevo.'Ono5 rar 11opprr-lr'o yvcoor66rovuo;ro-
rr16 piye0osfiou neprypdgerrqv Krvrlrtrrlr<ordmooq- ouyKpo-
'reircr xr our1 o116rq i6rc peyiO4,rr1pd(a Korrrlv ro16rqro.
Alld q opror6tqrao'ropardere6c6H. opprleivor6ldvuopronou
rrpordrrrer cxn6ro yrv6pevor4g pd(og errf rqv raXdrrlro, ev<6q
rotvo6ptorroo6rqro eivorprovdprerppoiyeOogioo prero ivo 6e6-
r€po rrls pdlqS rou oc6prarogerri ro rerpdrycovorrls mryprroiog
rcrX6rqrd5rou trlsnpog rcdnoroofmripo ovorpopdg.
Hrrvqrrrtiev6pyero
ev6qo6poroq.61er
vr5qpooeo1dopn'
opro[6vno6vro
o0qrnpoouo0opis
I
e
H rorvorjpyroourq rroo6rqrc triyeror xtvqnxr1evi.pyerct.
Irrl ytrr6ooqrqs evdpyero5lip6err xd0errvo6prevoovrrreipe-
vo o€ rdOelpovrxrlorrypqiXeropropdvqr<rvqrrre<vqdpyero.
*=Lmu2 Krvrlrrrqevipycro
oq H€rCIKoGu VTK| €rp€vou
H guorrq oqpcoia rqg dvvorogo'1eri(erororrcooEqrrort
KqrF€rqv ovOpc6rrrv€rlp1r€rpioK. or q epnerpiopd5 6r6dorer
drr rd0e rrvo6pevoovrrrceipevo<rcp6perp>(o 6uvord'rr1ro.To
ocpupf,yro nopd6€rypq. KoOrri5ropcpcirvouprIeiy, o
rrporo6 ouvovrqoerrqv npdro, dXer r<rvqrrr<eqvipyero.
Tqv d1er,errer6qyro vo rqv G'froKTqoer retrdooprdep-
yo. Tqv iX er ere r6q dXer rq 6uvor6r r l r C IX r u f i c 6 v r o g
Tqv npd ra vo oorqoer66vo p r 1K o rv o e r T e t r d o edrp y o .
Kd0errvo6ptvoovrrKeipevoe,{crrriogrot p6votou
yeyovdrog,6rr rrveiror, iXer rqv trccvcirqrdvo prero6c6orer<ivq-
oq Korvo er<relioerdpyo.H rrovdrqro orprpcogourq pog r<d-
va vtl }ipre6rr dXer <rvqrrr<eqvdpyero. Mrroporlp€vd rrl p€rp4-
ooup€16oo ov ouv6e0o6;.rpsr ro ncpeA)Svrou ovrrKtrprdvou
-p€ ro dpyo 6qtro6r1nou er<reldorqK€yrq vo orroKrrl0ei 11r<(-
vrlorl- 6oo rqr ps rrlv rroodrqro evdp'yreogrrou Ffiop€ivc pre-
roprpdoer prdXpvro crrvrlronorrl0ei.
Milpr r<6pooololo6poor€ Fs ivrr p6vo orlperor<c6vrtrei-
pevo.'Orav dloupe dvo o6volo rdrc,r<rrovvrrrerpdv<opve prd-
|eS,m., m?/m3/...mr,or roX6rqrss ur/ uu,u: ... u" (cosTrposo-
pro;rdvoo6orq;ro ovocpopdg)cogrlrq'rrrcre1vdpyerGrou ou-
orqporog Oecoporjp'rroe dOporopqrrDVr<rvrlrrrc6rovus €v€p-
yerc6vN. a npood{oup€6rr q rrvqrrrcrel vdpyeraev65ouorrlpo-
rog 6ev prnopei'vq eivor opvrlrrrq. Mrjvo av 6Ao ro cvrrreipe-
vo qrav orivrlro, Ocrprropotlo€vq eivqr Frl6iv.
Ag 6orlpercrrporrcog0o pnopdooups vo urroloyf-
ooups rnv KrvnrrKrel vipyerorvd,go<6proroHs €6roord-
oerg.Mro t r6o q ,eiv o r v q O e c o p (o o u prso rrv o d p re v o
oc6pooov ivq fi€fi€poopdvo orjvotroo116ovrtrefpevo
pr.p6(tg, ffir,ffir,... m,,Korrr16rqre5 ut, t)2,u: ... uu.
Itipg<rlvoH€Tq npoqyoripevc(o,v ro ovrtreip€vo€Kr€-
I
hl
e
ll f/rOIiA THIENEPtEIA:
lei perocpoprKK{ fvrlon-rrpdypo nou oqFcfv€r6116lo ro oq-
F€toKddurd ovrrK€fpsvodlouv Kotv4rtr(6rnro u -rl KtvrlrrK{
rou €vfpy€rq ufio^oy((ercn erixotrq.Eivariorl pE 1/zmv26nou
m n pdqq rou oc6p0ros.
E{urro<orierdr6rr KrvrlrrKqsvdpy€tqd11eror r ivo rreprorpe-
cpdpevoorsp€6 olld q rrp4 rrls 6ev uno,\o\Gtrq qnd rrlv s-
{iocrloqqur{. fldvrcog,6oo nro yp4yopq orpdg€ror dvagrpo-
169 16oo F€yol6r€pr10o eivorq KrvnlK4 rou svdpystq.
Irq yevrrrl, 'rilog, fi€pffiroorl fiou 'r'oo6pq €Krsl€f pro
ruxoiq r(vr1or1r,l ofiofc e(vqr6uvq'r6vvu ovolue€i o€ F€ro-
cpoprrqKorrrsprorpogrK{,rl KrvrlrrK4rou evipyerCuIrro^oyi(s-
ror <rlsdOporopcrxtr>vKrvrlrrrc6vevepyercblv6yot Fsrqqopds
r<arl6ycrrneprorpocpqg"
'Epyo(ouv€pyooiog6,,uv6p€ov.
T oB e c b p r l pror l s K r v r l r r r c { S
€v€PY€rcrs
1. 'Orqv oe rrvo6pevoo<ipo oororiv-rqrrroporrdvor o-
116pio 6uvdperg,rdOe pro orr' ourig erretrei ro fpyo
rrlg cve{dprrlrG ond'rrg dtrtre5T. o olyepprr<ddOpor-
opc dtr<ovrcrrvdpycrrvtrdyerorolrxti dpyo - W"n- Kqro-
rro6errv6eror 6rr eivsr (oo Fl€To ilrlo rrlg ouvroropd-
vrls rov 6uvdpre<ofvr.crvo unoloyiooup€ ro ohr<dip-
0t6v0polnoonrdnolf yo pnopo6pe}orn6v (o) va unotroyiooupcro dpyo rdOe prag
onOoIlroudUi{o{noepopepovyrdviooxrtrrd6fvvr eeopr, qn6 rpiov oop6qr o5pl ci or ropurpo€r dr rKl orvq npooOiooupre5l<xro ipyo eire (p)vo
*(q;rrtri,ioonropopri ouvroropdvrl Kororq rruvdX€tqvo urrolo-
efvoxror ioonropeydl4
yioouprero ipyo rqg. Kdvouprerord nep(rrrcooq6,'rr FoSpo-
eivoqrroldrqrdrou. Ie6errreproo6repo.
Irovnivox6oroxpiveror 2. Baor(6pvor orov 0epetrrc66vq6;.rorr;g 6uvoprrcr;gprro-
o (Kpldq>6nog rov
;lpqorponororroiovov po6prevo orro6ei{oupe6r-roe rdOe peruti,rrrorl ro ofur<6ipyo
Meooir'rovov,noleprr{
UrlxovyrrioTlvritrtoor,l rcov 6uvdpr€(Dv'rroouorrl0qrov oe dvs ocS;roeivsr ioo F€ Trl
rouK00rp0u, . peropotrrlfiou rrcpouoiqoe q rrvqrrrri evdp,yreo rou o<6prorog.
lG-K'=Wor
I
e
H IAOI:A THIENEP|EIA:
H rrp6rooq orroretrerfo ley6pevo0er6pqpqrn5 xrvqrrx{g
evdpyerog.
Xoporrqpi(eror0ec6pqpyoror(6ev<xnorelierdrrorov{eX<rlpr-
ord v6pror45 guorrrl5otrld onoppierqn6 rov 0epehc66vqdpo
rrlgEuvoprrqgIo. Xferyro6uvd;.rgeonoreo6rlfiorK€ orouvrordi-
vo eriXpqoroepyoleioyrqrn hioq npoptrqpdrovrivqorlg.
H orrri6rr{4
Oerrlporipfveq qvrrreipevoFdloSm.ASurro0fooupr6err oe
rcdrrorolpovrrrl orryF4,rrou rrl 0ecrlpro6o;.prepl rcovlpdv<ov,
q rol6rqrd rou sivordorqr 6'n on6 rq orryprlereivq q o-
orori;,revor'1surd (ouvroropdvq6)6v<xpFqi1e' rrlv rore60uv-
orl rrls rcrXrirqrogdoxornopapiveroro0epq.
Iti;lgrovc Hsrov 6e6repovdpo,ro rrvrl'rdnopouord(er
oroOeprel nrrdXuvorlF, €rrlv rqred OrouXvfoenrFln:sm6d6. v a p q gr o r
rq5'rcrX6rqragdoror rirorcxc6orevo
Iro rilog rrlg6rdprerotg0o dlerrropouordoreroljrrlro
u : uo*Gtxct perordfiroqx : uot-; 1/zqt'. Merqr6rrroq,6-
prcogp,o(f pe66vopr1(i6rogrqre60uvoqgo) qpcivedr pyo.Age-
rrrlerpqooupv€q ouoXerioouprso ipyo ourd (W)Fsrrl H€rq-
Pol4, r1orroioepgoviorqK€orrlv rrvqrrrqrordorsorl rou
o6patog.Iuv6ud4ouFrr€Srdooeprge{roc6oerg
W=Fx F:m0 x:uot1 1/zat u:uo*0t
o116,e
11
W: ,mu'-1nof,
Ko0rirgro BAripo
dronepvdro p{lo,
q xrv4rrrrirou
ev6pyero
ger<iveroHr.
peiolo4our{ eivor
io4 pero 6pyorrov
6uv6peovnou rqv
npox6treoov.
-e
r H (ouvroropivr;) r H (ouvroropivrl) o H (ouvrorapfvq)
6 6 vo p r1d1l e r rrl v 66vopr161erovrG 66vopqeivqrrdOe-
rqre60uvon rqs Oerqrore60uvorl rrl orrlv rcr16rqro.
r-crXdrrpogKqrrrls oe o1ior1 Fs rrlv . H errrrdluvorl
rolfrqro Kqrrrl eivqrrevrpoprilo5
;reror6rnorlg.
o H errrrdluvorl prerarordrrroq. rqr 6evrrporolei
n p o ro tre io 6 {q o q o H er r r r dluvor l xo;r io per opotr r l
o rq v'rrp 1r1rl s rq - rrporole i peialorl oro pfr-porrls rq-
16rqrog. orrlv rrprl rr15ro- 16111ro9.
o H rrqpouoia rqg 16rr;rag. I H 66voFrr61eve-
66vopr1ngporolei o H 66voHrol up- nqped(errrlv Krvrl-
o6{11o1rr1ls Krvrlrr- pdhlerorrl pe(coor1rrrq evCpy€rrqou
rqg evipy€rqsrou rrls KrvrlrrKrle5vdp- o<6praro5.
ocbprorog. y€rqsrou or6pro- o to dpyorq5 66-
o To ipyo rqg 6ti- ros. vopqseivorpr166v.
vopnseivsrOerr16. o To ipyo rqg 66- o To oc6Fc6evo-
o To rreprpdllov vqpnseivcropv4- vrqlldooer evip-
; r e ro p rp d (e ro ro rr16.
Y€ro F€ TO fi€pr-
or6poevipyero. o Tooc6Fqperopr- Bdllov.
p6(et oro rr€pr-
pdtrlovfvo pdpog
o 1 1 6r qv r r v4r r r q
rou evdpyera.
I
e
H IAOIIA TH: ENEPIEIAI
Tefurcfeivar e1xoAova xpivoupt. n6rt'. tva svnreipevo i.ytr xt-
vr1nrcruy(.pyen, apxei vG ro avrAapl)avdpaore va rctveiro;.H
u(,pyen, 5p-q, {vst xdrt ouv0er6'repo.Av )tAoupe vo 6ro-
ltopE<itooolt€prd rrpoou.tmxqdlrotpn yr' aorq rq puorrlpttit\rl
ovrdrrlra, nou €lrEdvi(trat o€ 1tn ncrrctAicpt erapgt(.o€uJv Ka,l
nou 6evpnopei -6n<nc,enrp{.vouvot guorrcoi-otrt va 6r:1yt-
oupyry){ o6rt va KdrdorpdEei, 0a X,oenoreiperd rqv Klvrln-
x4 yopE4 rrlc,vc orpago1p€ Kcr/vd tpeuvr1ooulr€r.o 6e6repo
paorc6 rrlc npSotuno nou Atyercnev{,pyuu 6uvapxr1.
Ta yeyovrirs r To qpcrl,pd ouyrpore f ro vepd rqg tripvqgr.,ur1-
l6repo srr6 rov u6poqlerrprr<doro0p6. To vep6 eivororivr;-
ro. =fpoupre6pog 6rr prnopevf o Tpf [er prfoooe oolrlveg, vo
neprorpirl-rsrrous u6poorpdprlougrou oroO;roriKorvo Fsro-
p r p d o e re v f p y e r o .
o I'ro epyoorrlpro.Or rrdvre riprorep5nifue5rpd;rovror
o116ro vrlproro,orou;rrrdveprero{6TouSKoroKrvrl-
roriv. flopeppoivero proOqriigrrou orroOcvor((etol
orrl goroypocpio. Irlrc6ver rr1 prioorr' ourig Lyo V'l-
I6repo, 6rorqp<6vrosrsvropiva ro vrlproro.Tr1orry-
pr1ere(vqq ;rninrc 6ev dXerr<xX6rqro.Olor 6pcog{i-
pouH€6rr rrp6rerror vq arrorcrqoer oXdrrlro. 'E1er
lorndv rr16uvor6Trlro, 6ore;ro arrd hyo vo pero6c6-
oer rivqoq, vo er<retrfoedrpyo.H prrinroopXf(ervq rcvei'rqtI.e
liyo lrunde r rqv prrrinrofiou ouvovrd rcoroKrvrlrofiote(rqt.
[-loporqpotiped,rropli(er vs <rve(ror q np<6r11prrrinrorrou
ppiorerororo dllo drpo, ro cxndvovrHr. xivqonp€rq-
660qre.
r lro roipro, 6uo r<tr6ourvdvouvro vorlprepr6oug.O
dvogo'rdrceroorrrl prrodr<pr-1rrlsrpCIFfidtrogxcrr r€pr-
piver.O dltrogorcopgotrcopivorrgdv<oo€ FrCoI r<dlo
ppioreror q,rqtr6repo'O. rr<rrgq tri;rrrrq ;rrrfiro Kqrro
vep6rou u6poqlerrprrorj gpdyporog, dler xt aur6g rr16uvo-
rdrqro vq errelioer ipyo Korvo perrrprpdoer evipyero. M6fu5
I
h
e
: E NEPIAE)
dg€e€i'Kqrfifo€r rrdv<ror rrl oovi6o,o dl\og 0o rrvolrei qr1-
ld.
{oe'pOetoqpvroerpdonoprdfuydpAgoroCoIyoruoprpon1s6v{ronrdo{^uer. r'vHoE6€opeye6rrqr Kuv4yr4,-
revrc6vo-
vrdg'ro,potrov6'€rrK€fvrql orrypqqrov cxivrlro,srx€CIfioerl-
re6oer6uvat6tqr-ovq er-reldoedr pyoKorvGperoprpdoree-
vipyero.Tirotouei6oug6uvor5'rqrappior<eroqrrroerlK€upivq
Kororn ogevrdvorq orrypqrrou dlouperevr-<6oI reo trdorr-
1o. BpiorerorKoroe r<d0eouprrreopdv1o1revrcopivoelorrl-
pro'oro elorqprorou poloyro6progd, rsv ro xoup6i-
(oupe,orrgoo6orssrrls yupvqorr<q5o,rr5notrr6grro-
vrrrorrcryi6€pS€ro rupi oltrd Kcxorro r1-ropovro6qsKo.
H 0eopqrrr{ oxdqrqA. govo(r1rq<rourpoe rorvdoror-
1eio.To vepdrou gpdyporoS,11rriprrrrqprrrfirorcxro
oropgotrcopdvorgtr6ouveivorovr-rreipevoro, orroio,
rrop6lo rrou eivqrorcivqrod, louv orroOrp<eupdpvlrol
0 poothttig 6uvor6rqro oqv ourrl rrou avcryvcrlpiosp€Kotora rrvodpevo
AoooupUnovro1r1o6] (rorrqv ono6c6oapeolg evipyero),vo er"-etrioouv6qlo6q ip-
xuvriyhr ovroprtirv.
Avriytrurnpoouppioxeror yo Korva peroprpdoouvevdpyero. flpdnrr Aorrrdvvd oupqo-
oroMouoeiorou vrlooupre6rr rqr our-d ratiXouv xdrrorcxevdpyeroT. qv evip-
Aorjppou.
yeroourrl rq trdpeevdpyaro6uvcprrri. I;leri(erar Fi€ro ysyo-
vdg 6rr roOivo cxrr6rq oc6para.
o ppioreror oe opropivo 6q;ogo'nd ro f6rrcpog.
o dxerPdpoSq, p'dllo tr6yro,ovdpeoo cr'oul6 xor orq fr1u-
giororor popurrxq allrlleni6poorl.
Mro ri,orou ei6ougorro0rlreuoq6ev0o r:r1evd,r1prcov, 6ev u-
rr4px€popdrrlro. fr'qurd ror q 6uvo;rrr,:eqvdpy€roo'outiq
rrS n€prrrrcioer gliyeror Bapurlr{. rrls oqsvr6vog ror pe
Me To 16(o rou poorfud,H€ro ldorrXo
ro elorrlpro ouppoiverrdrr ovdloyo. Eti6, piporo, ro rorvd
o'rorleio 6Eveivorro riqUogr<orr1poprjrrlr-CIT. o oc6prorqqurd
r<oriXouvprroovdloyq 6uvo'r6Trlro oirtrdourrl oge ileror
orqv er6r1tr<oorrq1g elcorrr6rqtdg rou'j.Tr1 6uvoprrcre1vip-
yeroo' ourdg rrs fisprrrrc6oergrq ldpe eluortr{.
To ep<6rq;rcfiou rreprprdveorrrdvrqorl e(vcr:fl<65prropotipre
va prerprloouprsrl 6uvaprr<e( vdpyero;
I
h
e
MerprlorlrlsBopunx{S
oCt, u v o p r K rel sv € p Y € t o s
'Evqqvrrrefpevopdpousmg ppiorercror e 6qrogh srr6 ro d6a-
gog. fro va perprlooup€rrlv rrprl rr'196uvoprrq5evipyero5
prnoporipvea rdvouprqeur6 rrou rdvo;r€KqryrCrIrlv rrvqrrrrl
evipyero.No urroloyiooupr6eqlo6q ro dpyorrou eKreliotqre
c6orevo ppeOerio qvrrrefprev(oon5 ro i6ogog) orq 0foq
nou ppiore'ror cirpo.To6pyoqur6 Ocxeivoripyo rqg 66vopr1g
rrou oorqorlK€oro ov'rrreipevorqrd rrlv ovdqr<oo<qrlo'revo
e(ou6erepc6vreor FdpoSrou. Oo ei'voor uverrc6g:
U=mgh
H 0ec6pqocqurq po5poqedvo Korovorloouprroer
rrlv ono0rlKsuorel vipyerogr,o0c65pog<pipveor ro
pruol6rov ov0pcilrrrvordrro rrou Xperd(eroyr ra vq s-
vur.,Lt<rrl0oeof vrrreiprevoT.o fi'fpd6€ryHoev6go0lr1rr1
rqg dpoqgpapr6veivqrev6errrrrS.
l-lopondpoyvc>prtrio
Herrl ot't, uvoHrK€rlvePY€to
1. H popurrrq6uvc;rrrre1vdpyerucnxdp;iear rprpc6e5ner6rol vd-
psoooro o6po Kqrrrl l-r1undpler polrurrrr;ollqlenf6poorl.
Ouotoortrdrreprypdgerrq prero{ri'rou5c}lr1}eri6poor1K. dver
6r1tro66r1rr rdvouv Kotot 6uvdprerrg-ouNe6rovo otrtrdoe
ytrcOoo6orocpoperrrrEl.ivorplc evipyao rrou ocpopdoe old-
*lnpo ro ototrlpao6pa-fr1.Errer66rlFrS or preroxrvqo€rorsu
' <prrrpo6o>c6porog6everrqped(ourvrlv rcivqorlqg [r19p, rno-
i podpre(r)vo Oe<oporjopdreorrlpdCIvcAopdoguv6e6epivoorf-
p€CFI €rq l-r;,(rr)vq tripre6rrro orirpafipiorerororo popurrr6
rre6iorqs fns ror (rrrv) o qvdqep6pcorro.e popurrrq6uvcprr<r1
evipyerorou orilpraro(sUp)H. rrpq rq5 0o eivorUu: mgh,6-
' nou ro h 0o ouppotrf(errrlv cnSorooq rou oc6proroqgn6 xd-
T A O I I AT H IE N E P I E l A '
fiorc opr46vrrqsfir(pdvsroorrlv ofiofo iXoupe ou;rgrovrloervo
ovacpep6poor€M. nopo6pe vo lipe papurrrq 6uvoprrr'1evip-
y€ro tos npos rnv entcpdveraev6grpone(ro6, prragrcpdroCIs 4
ror -6ncrrgrdvoupe ouvqOiorepo- trlsfip()Sro 66ocpog.
E{urrorofetor 6rr q enrrpdveroornv orro(q0o ovocpepdpo-
ore rrpirrer vs e(vqrorrcoo6qrroreopr(6vr-ro.
Ko0<696re{dyerorq rrapri6o
r-d vrg1 16 u vo p rr qe vipyer 0 r r ls
pndtrogau{operc6vrrqrH. rrprl
fiou qfioKrd oe rdOeXpovrrrl
orrypqeivorave{dprnrrlo116rqv
ToX6rqro nou iler 11pndlo rq
orrypqer<eivqE.foprdrorp6voo-
rrd ro pdpoSrqg pndlag ror on6
ro 6q.rocgrlsfipos rrlv opr(6vrro
erncpdverorr,lv orroio0o rrport-
prrloouprMe.rroporl;revq 6ruld-
{ouprerrlv errr<pdv€rForCISorroroo6rlrroreropdroog r1rar
rou e6dcpousKCIvr o perpdpe rq 6uvuprrrl evipy€rq rr>S
npos rqv errrgdveroour(. H preropolrldpog rqg 6uvopr-
rr15evipyercxgovdpeoq oe 6uo lpovrrdg orrypdg eivqrqve-
{dprqrrl o116ro non €rt(pdveroovcxcpopdXgpqorponorq-
oqps yro rrg perprlo€rspqs. Iro pero{6, rd0e pnotrdrt, o-
n6 ourd rrou {dcpuyovKqrppioreTorrrpocrysrc,lpdvooe ro-
pdroo 11orqv docpolro dXer6uvoprr( t:vipyeraorc0epr1.
Ecpdoovor Eroordosrsrou o<6porog6ev pog errrrpinouv
vo ro 0ecopqooupuetrrr6oqpreior,l rrFq'rr1ge(vorro dOporopro
rorv 6uvo1-rrrr6evvepyerc6rv<ovutrrrc6voqpeicovorrd'rs orrois
Oeorporip6err qrroreleirst ro oc6pa.TcrproOrlpcrrrdorro6et-
rv6ouv 6rr ro dOporopoqur6 eivot ioo ye ro yrvd;revorq5 6-
Iqg pd(c5 'r-ouoripor-og enf rr1 Bopurrxq errrrdXuvoqerrf rqv
arr6orooq h* r-ou rrivrpou pdpoug rou ocbparog,o116rrlv o-
pr(6vrro errrcpdveroK. r qurd ave{dprqrc qrr6 To dv ro oc6yo
peracpdpe'raro,rpdcperar11eivororivqrc.
h
e-
H IAO>IATHI ENEPIEIA:
2. Ag6o6perdnorgrrrorrpooErrrrdrr1oXioq fiou u-
giororor ovdpreoorq peraprrlqrrlg 6uvoprr<re1v5dp-
yerqsKororo ipyo rou pdpor,,rgord rr16rdprcerro-qg
preropolrlg'O. Tov ro ovrrrefp€vodvur.rtrc6vtrro;r6,uvcx-
;rrr<rro1u ev6pyeroou{dveror,rrpdy;rorrouoqpcivedr -
rr 11peropolrl rqg eivqrOerrrrl,evc6ro dpyorou pd-
pougeivoropvqrrr6.'Orqv'roavrrrer;revrotvef'rorrrpogro i-
6ocpogr,"16uvoprrrlrou evdpyeroelorrcbvtror. E6r6to dpyo
rou pdpou5eivor0e'rr15M. nopotipr,e6qtro6qv, o tri;re5rr 11
peropolrlr4g popurrrqg6uvoprrrlgevipyeroge(vatovriOerrl
on6 ro ipyo rou pdpou5Korvq ypdcp<lupe
AUu = - ltYu
H 6uvoprrr;evipyero rou poyovro6pe ra rrqt6drto e-
lorrrirOrlre . To 6pyorou pdpoug eivrrrOerr16
W, : mg(zo- z) AUp: - mgZo- z)
3. H popurrrq 6uvcprr( evipyeroeivarpro iworq yevrr<6'repr1.
Aev ocpopdpr6voro odorqpro ocirpo-fq Yg(ororot yro orroro-
6qrrore o6orqpo oroprdr<ovrou oriprrrxvros,or pd(eg r<rlvo-
rrof<ovotrlqlenr6po6v pcrpurrrd, 6rrcrlgyrc ropd6erypo ro
orjorrl proAiog-6opucpd,porgou.
H 6vvororqg 6uvoprrqgevipyaos t'rrsKreiverotrcoroe ql-
trqtrenr6pdo€rrsrou 6ev eivqr Bopurrrd,;.Kdrr riroto ouppoi-
T
h
e
F']IAOI:A THI ENEPTEIA:
v€rF€6riopcp66popqouspcryvrlregrov onoicrrvor erepc6vu_
;rorrrdlor ppiorovraropxrrcdo dvogrov'rdorov dllo xor 6-
orspo orrd plc nopippoorl -r; orroio or.<oo6qrroreonqrref
ipyo- ono;rorpdv€rorliyo neproo6repo.To o6orrlpo rtov
66opayvrlrcOovrrl vfo 0ior1iler ou{qpivq 6uvaprrr;evfpyero
oe oXdoqH€rrlv nporly<ldpevr1.
To f6roroX6erKotytcl66o qvrrrefpeva;.re
erepc6vuprrallerrprrd ,poprfo. Av rq drro-
-: ".'E=-- -1-ror<privou1p1e6uvoprr,:re1vipy€rq rou ou-
orrl;.rorog0o ou{r1Oefy.',vrq q}errprrd gop-
[ikaVn= -c- rio (r1poyvrlrtKofndlor) efvor opr<irvupqr,l
|-------------
peropolrl orq 6uvo;rrrl;evdpyerolerroupyei
qvrfOe'rq.H 6uvoprrrqr;vipyerorou ouorrl-
Fqros ou{dve'ror rq0c6,;ro rrlqord(oupre.
No ouvor.l-riooupre.
AU"^ = - Wor
I E t r o o r r r r6l u v o p r r ceqv d p y € r o
Ko0c6gro elorrlproppiorerarouoTr€rpoprddvXo eer loorrrrl
6uvoprrrel vdpyer(oU)crlSTrposro {preor1rKou6 pr1ro5i,orl pe
ro ipyo ro orroioerreliorqKs yro v(xouofiupcrlOeTf.o i6ror-
oXder ror 6rqv eivcrrevrcoprriv,r.
g = ; l x1,
z
6nou k 11oro0epd rou etro'rrlpfouKqrx rl peropolrl
oro ;rqrogrou o€oxdonp€ro guorr6 rou prlrog.
Ti0e'rsrpdpororo ep<6'rq;rqfl:ou ppiorovroro' ourrl rqv
r r e p i r r T< o o qo r o M q l e r r r 6 p d o e r g ;
To elorrlpro 6ev prnopo6pevq ro Or:coprlooupurterrrdorlpreio
aMd co5ivo orjorqproon6 uArrd orlpeio rs orroio ollqlenr-
6poriv.'Orsv ppioreror oro (puorK6rou F4roS rqOivq ond
r qurd roopporrefoe 'r6rors Odoqcilore rl ouvrordpivq rrov 6u-
r vdH€<ovrrou ooKodvrqr qrr6 rq urr<ilorrrs vs eivqr pq6dv.
'Orqv dF,rS, fiCIpol-ropgco0eoflld(ouv or OioergKqror orro-
ordoerg pero{ri rous KoryrCIvs roopponqoouvlperd(rrqr vq
oorqOorjvoro elorrlpro el<oreprrig6uvdperg.
Krvrprr{ laporrrlpi(sror rl ev6pyercrrrlv onoio iler 6vo
oc6;rotr6y<orrlg rivqorlsrou.
Bopurrx{ 8uvoyrrri lopo<rr1pi(srsrrl evdpyeraq orroio
eivqrorroOqreupdvorle dvqcvrrre(pevotr6y<orqg 0ioq5
rou oro ne6ioBopfrrlrcg.
Elcorrr{ duvoprxriloporrqpi(€rCIrrl evipyeror1ono(o
eivqtonoOqreupivqo' fvq oripa l6ycorqg eloorrrrlg
rou rrqpdH6pg<ooqg.
H IAO:TATHI ENEPIEIAI
H 6rorqpnoq
rns FqxcvrKqserz€PY€rqs
H ovnnopoB€orl
Mrlrloope rdncrrgove{dprrlta ylc rdOetvq qn6 ro 66o np6-
ocono rrlg evipyerog.A[i(er rov r6no vq ro ovrtrropoOiooupe.
H r r v r l r r x { r v d p y e r qu - H 6uvqprx{ evdpyelo ev6g
rrdpXeer g6oovror pr6voecp6- ouorrl;rcr,og undpler -e{ opr-
oov urrdplerrivqorl. opo6-, ecpdoovovdpeoo oro
Eivor6uvqr6v ivo ocSpo pdpq nou ro qrloreloriv ugi-
vo dXerrvqrrrceqvipyeroX, co- orqrqr,rltrqleni6pqorl fiou
pigvo otrlrllenr6pdFer0 u- ercppd(r:rar;.re6uvdperg6ro-
rrdtrorrrqoc6protaH. rivrloq rrlpqrrrrlg.
rou 0o eivqreu0llypsFpno- Eivqr6uvqr6v ivq o6otq-
Fc44. pq v0 itr'er6uvoprrrrej vdpyero,
H rrvrlrrrrlevipyetoF€rq- eire urrripler eire 6ev undp-
Bdlleror, ecp6ooevrreleirqt 1errivrlctrl.
i p y o o r r S r q o u v r o r o p 6 v r l H 6uvoprrrlevipyerop€rq-
Tcov0oKouprivco6vuvd;recov.pdlletcrr, eg6oov errelefrol
H perapol4 ttts eivcriorl pre dpyoer6rrdo116rrg 6rarqprl-
qur6 ro ipyo. rrrig 6 u v d p re rrgro u erg p d -
K-K, :Wo1(1,2) (ouv rrlv otrtrqlenf6poorl.H
rlAK: W"i
peropo,\qrrlg eivorovtiOerq
qrr6 ro ipyo outcbv r<rrv6u-
vdpe<ov
Ur-U,=-Wa(1,2)
r1 -A U= W"
Btrdnoupr6err q petopolrl 16oorrls Fr(rS5oo rqt rqg dtrtrr15 r
popqqsouv6derqpt rerdrrotodpYo.Agerrrlelprlooupre<6pa
vq fiqpopspioouperqv iwolo €pyoranvo epeuvr;ooupqev ol
percpotr6r5rls prqsHopg{Sevipyerogr:rrqped(ourvrs p€rCI-
polig rqg dltrr1gHopq{S.
e
H IAOIIA THI ENEPIEIAI
-lo oo,c\ PoropoKrvrlilKt ns
ror 6uvoprrcrelvsdpyerog
floporolouOoripeivo Xrovo6pd,prroouyfuorpderndvco
oro Xrdvrr<oor cpo6onorcrqoer rqv rordtrtrqtrqroX6rq-
rG rrpoypCIrorrorreoi peydlo citrpo.Kc0<69<onoye116-
v€Tqr)1, 1rrvqrrrqrou evdpysro,'Iorrc6ver€ovt,c6ou€d-
vsrorrl 6uvcprrrlA. eveivqr66orolo vo ro roroldpou-
pr.eApref vo 0uprq0o6;5rerr q rluqrrrrlevdpyreo oytr((t-
rqr p€ rqvtoX 6rqro K q rq 6 u v a p rrq(p o p u rrr< qp)€ ro 6 q o S .
4116rq orrypq ndAr rrou 0o cprdoero'ro prdyrororigo5 KCIFr €-
t6, ra, rpdproro npoXcopo6vqvriOerq. H rrvqrrrrl rou evdp-
yeroouldv€ror Korq 6uvoprrqpopurrrrl evdpyeroetrorr<ive-
ror. H ouvofur( 6rorriorooq eivaroXerrrd onlrl. Kord rqv r<i-
vrlorlrou orcrdpq o6{qoq rqg rrprlgrrl,; HtqSpopg{S evipyerog
ouv6ud(e'rcr F€rour6Xpovq eldrrcocrrlorrlv rrprl rqg dllrlg.
To epc6rqpopdporoeivor:r; eldrr<rloqorqv rrpq rqs prosFop-
gqg eivor rodrrooq F€ rrlv o6{qoq orqv rr;rr1rrlg dllqg; Irrl
ytrc6ooa,6qlo6q, rclv ouppdlcov,roXriiirAK : - AU;
A6o routrdxrorov6p6pou5prroporiprveo 6rooXioouHy€ro
vc cprdooup€o€ rdrrorq arrdvrrloq. () rrp<6rogrrepvderprdoo
o116oultroyrorrxig 6repyooieg,fiou ,ler<rvo6cvxrr6'rqoXdoq
rou ipyou prer<dOperiaond,rrg popcpf,e; vipyerog.O 6e6repog
eivor 11<o669rrsrpdprorog>l.-leprdXedrprnporreg6ro6rr<aoieg
pe perprlorrsKorouvqr6lou0a ouprnrpdoproro.Ag roug 6ro-
oXioouper<oroug 6rio.
Or ou)U\oyro;roi=. errvdpeo116rrg e(roc6oerW5 or: AK r<or
Wor: - AU. Or oulloyro;roi eivorsrrl<li. Av Won: Wor0q eivqt
rqr AK - - AU, rrpEpo rrou oqpoiverrirr qv ro otrrr6ipyo rrou
errelei'rqr oe dvo oriorrlpo eivar p6vo r-odpyorcov€o<or€prrcc6v
6rorqpqrrrcc66vuvdprecorvd,0e o6{qoq rns KrvrlrrKqegvdpyerog
0q ouvo6ederorqrr6 ro6rroorletrdr-r-<rrorrls 6uvaprrrrlgKqro-
vriorpoga. fpdcpoupeA:K: -AU rl lq-K : - (Ur-U.,)dpo
Kl+Ul = K+lJ,
Me dllo l6yro, oro ouorqHqrcxo'rq orroio r<ord'rr16rdp-
H IAOIIA THI ENEPIEIAI
KsrqfiorKfiorvolloyc6v erretrei,ar 6pyo pdvo o116rrg 6rorq-
prlrrrdg6uvdpergnou €Kqpd(ouvrnv sralrsprr( otrlqtreni-
6pooq (6ncogeivor ro PdpoSyra nopd6erypo) undple r ndvro
rdrroro rroo6,rlro rrou 6rarqpefraroroOeprl'eivorro dOpor-
oproK+U, ro dOporopcrrvqrrrqgror 6uvrrprrqgevdpyero5.
Av rord rqv rrrc6oq prrogrrdrpog ayvorlooupsrrlv svriors-
orl rou a(.pa, n F6vrlepya(6yevr766vopr1eivqtro pdpoS.
Ko0c6gt,rorrr6vndgrer 11ndrpo q r<rvq'rrr<rqqg evdpyeroou-
{dver,q 6uvoprrrlevdpyeroetrqrrcbverqrd,}d ro dOporopCKIrvrl-
rrrcr1rgor 6uvaprr<qegvipyerogrrpine r vo 6rorqpei'rororo0ep6.
Ka0c6gcrroyerc6ve'roor orrdp, ov cryvoqooupsrrdh tqv o-
vrioroorl rou adpo, n p6vrl 66vopq rrou ooreitor rrdv<.rrl-ou,
dpo rcorn H6vn'nou erretrei ipyo, eivqr rc PdpoS.To d0poro;.ro
K*U nopaprdverrr e6c6oraOepd.
To i6roroX6erqr rord rrlv or6pqorl evrigerupeporjg4. 116rg
ooro6preveosro oqCIrpi6r6ouvdpe15pdvoro pdpo5errelef dpyo.
Avdloyor oultroyroprofror yro rrlv X<rr5rrigprp{ rcivrloqevdg
oc6porogoe rerdrprdvoerrirre6o-( oe pro orroro6rlrroreore-
ped enrgdvao- 0o o6qyrloouvo€ rrcrp6;.roroouprnipoopro.
Ag 6o6pe6H<oSrr lier Korro nefpopo.
To rreipo;ru. Nq <ovcr<pivou;rerq> <pdoqv, o 6o6pre'rrtrdeyr ro
dtrq ourd. To errpeprigeivarivo prioo,ro rlrroioyr' ourq rrlv fi€-
pinrcrlorlnpoogiperor. Ko0c6garopeirorro errpepig,errrXerpod-
pevo perprloouprsr5rrprigr<rvrlrrrrrlgor 6u,vol.rrr<erv1dgpyreogrou
ocpcrpr6ioourq 6rdpretcFroSpd,voonlq,; orcilpr;oq5fr. o vo ro
<npoldpouF€)Xprlorponororipreq orpofiooronrrrl pi0o6o. To
qcrlroypoqi(oupe<pcrlri(ovrdsro pr 20 mroloprrd5ro 6eurep6-
trerrro. fldvor orrl qoroypogio ;rrropofprsvq evroniooups rrs
6rc6olrrig 0ioergrou oqqrpr6iourqr vo ,rerprlooupr'reqvcrr6-
orooq rou5 As pe urro6er<dp€rpoE.rrer6r{;ipoupe rqr 5rr rl fio-
peppo}ldpevrllpovrr<r61rdpr<ereoivarAt = 1/zosp,nopo6;.revcxu-
notroyioouprreqv rcrXrirrlrcrou ocporpr6iooue rdOaorry;rq.
H rrpq rqg rol6rrlrog 0a pog o6r1yr1oo€rrlv rrprl rqg Krvrlrr-
rrlg evdpyerog. H prdrpqoq,rrdtrr,;reurroberdprerpo,rou 6-
VouS (h), oro orrofo ppioreror ro o(porci6rooe rcd0eorryprrl,
0o pog Xperooreyf rq vo urroloyiooup€'-rl popurrrq 6uvoprr<q
evdpyero.Xpero(6poorepiporo Korrrlv r-rprr; qg pdloS.
e-
H IAOI:A IHI ENEPIEIA)
Tr pog <eine>ro rreipoproO; r perprlosrsfiou dyrvovepcpdvr-
odv ro d0poropomv'12+mghrord rq 6rdprcerporogarc6prl-
ons, vo 6rorrlpeiror rqrd npoodyyrorloro0ep6. Or prrp6ga-
nor<lioergarr6 rqv orpfperopog 0upi(ouv 6rr orr5 iprrpor<reg
tr€rpCIFCIrrK6f5ro6rrooiegoupperiler rrdvror€ Kqro rropdyrov
ogdlpo. Mnoporipre6, r;la6r1,va n<l6pre6rr pioo oTo dpro
rou ogdtrpcros ro rrefpapo 6e(1vervq oup(povef pe ro ou-
pnepdoporo r(DVoulloyr oprilv fi ou rrpoqyrl0r1rov.
H prlxovrrqevepyertoirorqpeiror.
Ordoopreoe rdrrorqondv'rr1or1ou rf,pxrKoedporrrlporosCI-
rolouOrivrag66o6p6poug6rocpoperrro6T9o. refurdpqsou-
prrdpcopocrvocpdperoorro trey<ipevtscAercroduorr1yara,ov-
orrlporo, 6r1lo6q,rrou 6evdllqlenr,Spo6vpe'rov urr6trotno
rdopo.No ro 6rorurrcSooup€.
Ze xd0e xAerm6o6mqpa, mo onoio eygavf(owat p6vo
eoarepu<6.q6,uvdpelq,6rurqpqrrrc6,qr,o, d0porcya xrvqnxf g
xar 6uvaprcfq,ev6,pyenq6,mrqpeirar ora0ep6.
Eivorourovdlro, 6rr oTq ouo'rrlprcrrqqurd -ro leydpevo
ror 6rorrlplrrrd- 6evepgcrvi(ovroEr uvdperogov rrlv rprp( 4
I
e
H IAOIIATH:ENEPIElAI
rqv qvrforCIonrou odpoo6'rerccr rope;r[]doergrr,ou 0o prrro-
po6oovvo npodplovroro116ov0pc6nou(q; orrd ;.rqXcxvdTgo.
nopa6eryporqrrou ovocp6p0rqov €ivqrer'6errrr rd.
To d0poroFCKIrvrlrrKrrlogr 6uvoprrqgevdpyreogouvq0i(e-
rol vq avocpiperqrcosevi.pyenyrlyavtx7(Eu)H. 6rorqpqoq
rns Fnxcrvrrrpegv6pyerorgcrdyerqr qrr6 rn v€urcovrrr6luvoprr-
rq. Anoretrfedvqepyaleioyrq rrl pel6rrlnpoplqpdro)v,nou
0o pnopo6oovvq qvrrptrcofirarodvKcrp€veurcovtrqpi0o6o.
flotrtriggopiS, 6p.S, rl Xp{onrou sv€py€rqroe6pyoleioueire
pogo6qyen( ro srrld mo cxnord}eopoeireeivqtorrotrd,cogo-
vcryroiorc'rog6yroyro rrl }6oq rcovnpofllrlpdrcrlv.
fro rr;v rrepirrr<oofrilou q 6uvoprrreqvipyroeivarBopurr-
rr1,prropod;revc ovcgepd,proorott 6roriipqoqrqg pqlovrrrlg
ev6pyerorgou oc6prorotsosnpos rn fn.
Ecp6oorvo oc6poOeopefroroqpreror6cvrrrei'pevoy,ro 66o
orroreo6qroreXpovrKdogrryprdrgrlg rivrlc'qg0,o roX6re:
I m * + mth, 1 mu",+ mgh,
2
6rrou m q pd(o rou KrvouF6vouoc6paros/ul Kcnu2or rrp6grrlg
rcrX6rqrdg rou Kqrh,,h, To 6qq on6 rdrroto opr(6v'no errrgd-
v€rooro orroiq Bpioreror rord rrg 66o ourdg lpovrrrfgmrypdg.
flpor6nrer 6pcogro epcbrqpc'undpXouvorrl q6on 6ro111-
pqrrrd ouorqproro;
Arravrdpreqrr'eu0eiog. Irov porp6roopo rrou (otiltt rdrotq
ouorqpcro 6ev undplouv*. To ouorqpsrq ourd eivcxpt ovri-
trc. Ie noMig 6t .S neprrrrc6oergprropo6psvCIOecopqooup6e-
rr ro npcry;rorrrc6o6orqpo npooeyy((erro povrdlo po5. To o-
rrtr6 errpepig prero onoio fisrpol.rorror(r.opref,vo pop6 or6pro
nou rr6gr€r fipos ro d6ocpogo, Xrovo6p6pto1g1ro rpotvdrt rou
tro6vofiopK qrrorelo6v ouorqparo ctrc orroiq 6ev e(vot
<orov6qtrc66egv>a 6eXro6pr6erorrlpqoqrrls Fqxqvrrq5evdpyer-
og, routrdlorov yra rdnoro prrprlXpovrrri6rdprero.
+ Irov prrp6roopo<poivercdxrr 6tregor ollllerrr6pdoerg ovdpeoo I
oe (euydproooporr6iov d,ncogeivqtrq dropo, tdvto, r1trrerp6vlo,
;r6prc,vouxle6vroeivorErorrlpqrrrdg. e
H FrlxovrK$evdpy€ro
Mrq gqrvoFevrrri efogrivroq
'Orrrrlg,dH.S, Kqrvq'ro rdvoulle or rprpdgKoror ovrrordoerg
undpXouv.To errpe pig 0o oroporrlrrer orrc,ro6qfior€.H pq-
Xovrrq evipyero rou oc6patosfiou yfuo'rpder ndvco oro <leio>
rerAr;rivoerrirre6o,pcOproio0o elo'rrc6v€ror.Av ocpqooupe
fvo pnoldKr rou rivrg o116rdrroro dVoS,orrg 6ro6o1rr<do5-
vonrl6rloersrou 0a ovepoiveroe rirgqoloivo
pr<pd,repcpxr,lvupa6rr q pqlovrrrl rou evip-
yero prerc6v€rooruvr:Xc6gA. v ocpqooul-rr€o
yrdQ os opr(6vrro otid,orp<rlFor,o ourorivq-
ro 0o otoprorrloer sur6 eivorpfporo.
Yndpler 5qlo6r1pro oerpdarrd,pepordrq-
reg-pqv6prqror,o orroiq po5 live drr -eg6-
oov rdrlorog dv0p<rr'ros4 pnxov4 6ev npo-
ogdper dpyo- ro dOporopoU*K elorrcirve-
ror, n prqlavrrqevdpl,erogoive,or vo e{ocpo-
v((*ar. Aurq q (pqrvop€vrKeq{oqdvron rns
prllovrrq5 evipyerogxdn ctEryvent iou.t rq9.
Irq 06oq rrls €pgqv((trol rcdn r.ors6eveivqr
rrdvro ovrrlqrrrd ond rrg aroOqoel5pog. Bi-
poro orrg rreprrrrc6osrfsiou or rprpdgKorol
qvrrordoe rgeivor peydleg, ro ovrrloppov6-
pqors rcr prdlro'rqnohj rold. To flcl6rd
rrou rdvouv rooulqt)pCIorrlv rror6rrcrX1cpd
rqr rrrdvouvro oi6ep,rro {ipouv. To {dper ror
o ropvo6dpog ra0c65r6per ro pfrollo. To
<orolo p o iv o u p e , ; rrit rrgo ro u ; rn q o o u p € ro
IdorrXo rou ouroK11,r1rorujorepo o116o611-
Ko0itlieoqrorlqcv{rron;r1tofrrqroroer{uygoreoprootnretrironoveEooreuupr.uoxn6}yqrld' vyor, lorl o€ KCIrrlqoprK66p6poorqv onoio cppe-
orou;rldUv4r,q;iorprqoleu;lyeo4ov6trrrrrfoodreuroe{ppnvq4ddro0p4qoyvfreqoerr;Aoo1ovUreorr4troiorvc6oep6ryooorngro,loorpoiqvevouvt.rdcp6ovpeerooroqovvrrcp6o$rrd1poqr6lreng5.AOurpr6;rrooxpr<odoriaregr<. K6 q -
r
F]IAOI:A THI ENEPIAE)
6ncogldve or cpuorr<orqi, releurqiq erq'r'6voopdvro 1p6vra
ror perd, n gqrvop€vrrqe{ogdvronrrls pqXovrrrlgev6pyerog
6eveivqre{ogdvroq.EivqrFsrqrporr{ oe pro d)U\qyopgti e-
vfpyerogy, rq rnv orroic,qrr6 rq rrerpdprarqrou J.P.Joule
(orq Eeroeriorou 1840)ror perd, rcrxup(6paorc 6rr eivqrr-
oo66vaprFq€rnv evdpyerrarou1dOqre.
H evdpyera6,qlo6r16, ev1d0r1r.eMertxrpdnqr<Kecrp€rq-
<p6p0r1rHe.oXiorl ovdpreooorr5 0epprorpoorox6pgeropotr65
Kqrorrlv evdpyernoou 1dOqxe-1<opigvq dxsr1o0ei- eivqrdvq
1ryryta0epehor6 rqr 0o oololq0o6ye pa(( rou 6re{o6rrd.
fro rqv c6po,6prog,0o pcg orrcolotrrloerivq dllo rdrr rrou
pnopefvo nporotrdoer o6{qon rns pqlavrrrlgevdpyerog.
I
4
e
HIAOIIA TNI ENEPTEIAI
t
Mrq gqrvoFevrrrl o0f,r1rr4
O ovBponos
O dvOpconogeivoroe 06oqvo ovurl-rr6r,oepr roHdvoFdprl.Mto-
r pei ndh, onp<6Xvovroge, rro{erjovto5 q rloroc6vr-ogdva o<i-
FCIvo rou pe'roprpd(erevipyera.Eivcup' dllc tr6yrooe Oioq
I vo ou{qosrrrl Hrlxcvrrqevdpyeroevdgouorrlporog.
1. Irq veur<ovrrcyqlc6ooo rorv 6uvdprecrrevirrope 6rr
dler rq 6uvor6rqr-crvo qore i purrf5 6uvdpergc6orevs
erretreiro ipyo fiou qfiorre iror yro rov ororrd qur6.
Krou'rd To fi€Tuxcivere(reon'eu0e(qs, ofipc6xvovros
6qlo6q 'ro rxurorivrlro fiou Xrilooe, eire dppreoor,rq-
peppdhlowog 6qlo6r1avd;.reooorov €our6 rou KGrro
o6orqpropro onlq pnxovq,Xopig vo <ep6ioeor e ipyo,
d,rr<ogdlou;re rrer. fro tov lerprdrvorro epydrrl r-drorou
e(6ou56rcx6rrooieSp,e rov dvav q rov dtrlov rp6rro, ofior€-
lo6v yeyov6ra ouvq0roprivorar rco0qpreprvId' . Sleg pdpora
rrs fisprfirc6oergurrdpler p(o r<orvro1uvinerq. Or dv0p<orror
roupd(ovrar.
2. Mro FrKp(ropndlo npoer6orroef 6rr ro ooovodp Xdtro-
oe. H yuvoirc, gopr<opdvqpro poprcioororitro ;recppo6roc-
H I A O I IA T I- 1EI NEPIEIA:
n6'rq loircrlcryopdo, vepoivepr €ro rrd,6ruorov rpiro 6pogo.
Av o6rogopqooupyero rq yuvoir<orrpo()cDptvrodr oololrl-
0o6pepdvoperq poprdooro6lo, 0o rroripe6"n,an6 ro rod-
yeropilpr rov rpiro 6porpoq, 6uvoprrrrlrlgevipyeroou{r10r1-
r<eA. goololqOoripe5po5KorF€r.q yuvair<oA.vipqreoro 6ro-
pipropdrqg,rropdrno€rrl poprdoorofTrqrordlopro rqr rd-
0eroros HroropdrcIovo {arroordoer.Au'rdrrou prroporiprveo
noripeneprypdgovrcxo5l6r<trrlproo o6o'rqpoyuvoir<o-ooro6-
tro,eivor5rr 6orepoo116ro ovdpooprorov rpfto Spocproo
66ooc6paroeivor,rord r<drrororvp6rro,o€ pro r<ordorooq
6roqoperrr(.Kovivo6eve(vqrnrc drror5rrprv.H oor<o6lope
ro cpporiro<rdp6roeo>e6uvoprrrel vipyera.Korrlyuvcirocpu-
orr<dI.rrl yuvoiro ouprpoive6r,p.S, rdrr rrou 6evouppoivel,
pdporoo, rq oororJla.KoupdorrlK€T.c npdyparo 6eiXvouv
-rc qurd ouppoiver oe rd0e ovOpc6rrrvnrpl oorrdOerqo-ov rl
yuvoixovo {66er.percdrryro vo rorocpdpro:rurd rou 0o yrvd-
rqv drcorrqo, v 6ever1eloldoe I ro ooovodp.
EINAI I(AAW€PA II MHXANI] KlelerA,'loatqo / et.Ja e>0,M'AUTHTH\t EN1EEI,@r4.I,EI! A€N
tJA€INAI NI&,TAPA MOV V/let nO\V < I ll^Ato>atlAPArA,
A|rof€Po:€fcMe- i =-il= Aeo\etz tll M'AP&I Ilr'.>VZHT^Q
EDA (DAUTZA^)I \ ef,lA:al\rrouff:., M€ TUUAII<€>AVTATAMA-
IAAA,MNOPg --{
tw-T9exe cy10
TO tlcpt !
Aur6 ro xdrt rrots{66er.1-yrreo vo cxvepdortrrq oor<odloKorrov
eourd TrlSorov'rpiro 6pogo, or guorr<igerrrorqprepgcxgnporei-
vouv vo 6e1,ro6pe6rr eivqrevipyelo.H rrp6r-ooq<oro6yeral) rro-
pd{evo.frqriour6 nou {o6erirqre,6ecpaiverarva pord(erodre pe
rivqoq orjre pe o)frcq,{ oe 6rdra{r1r{DVp€pr6vev6gouor(poros,
prercoprd611lo61o1116rrg 66o popcpdgevdpyerognou neprypdr.po-
pe.Kreg6oov 6rorrlpo6peVtcl\JcKpooKomrcr,;)ecoprlrorr.luorvpcr\,-
pd'r<ovd, Xoupe6ircovq 0ecopo6prreqv rrpdtooq nopd{evq. Av 6-
pcogOelrlooupsvc rorrdfouprequrd nou ou;.rpoivouvorov opyCI-
vtopt6pog an6 orornd FlKpooKofirrqo,rrci'rr1oxorrrd,6qtro6q,
fiou ovrrKpllu rcr;.r6pruKotrq dropo, 0o 6o6pe6rr or rco6oerg
I
h
e
H |A QIIA TI]>E N E P TAE:
rrou yivovrCIrHioCIFCISKqrpqs sqo6rd(ouv pe rq 6uvo'r6rrlrq vo
orlr<ivoupepdpq r<avr o erro{e6oup€(xvrKeipevoeivorevepyero-
1696ra6rrooie5r,rou oqpreponeprypd<povroprs 6pougrrvqrxqg
ror 6uvo1.rrr<er1vdgpyerosrtov or6;rov. l-lpogro nop6v 0o opre-
moripreoro vq trdpre6rr q evdpyerorrou {o6erjouprenpodpl€ror o-
n6 rrg rpoqig rr dXern popq{ wdpyrrrrg XnFrKriS.
3. Irq veurcovrrqylc6ooo lipe 6r o dvOpconogpnopei rcr
ro fi€ruxo(ver6lcxcurd, yrar( ilerrq 6uvor6rrlrq vs ooref
purr<669uvdprergIr.q ytrr6ooCrIrls svdlly€rostripe 6rr rcarocpip-
va vo ou{dverrqv evdpyeroev6goc6purog(q ror rou i6rourou
o<6;ro16r9ou), errer6q6ro0frerorro0rlreupfvqrpocpoevdpyero,
evipyero rlou Hnop€ivo Xcporrrlprorei o4 lqprr<r1E.(vare<ervq
q evipyero rrou elorrc6ver-cr,6rqv o dvOporrroger<retrfeipyo
o{ronorc6vrqsrrs prurrcdrogu 6uvqr6rqreg. H er6rllororlpdtrr-
oro rou rdnou ouv6derqrpeourqv orprpc65'rr1evldrrcrroq.
4. To i6roro ipyo nou exrelei o dv0pcolros,pfiopef vo ;re-
rp(oer rr1lqprr<qevdpyeron, ou lo6erirrlK€yrCvI CIlrpoypcro-
rrorqOeiE. vvoeiror6rr r<o0c6egrcretreo(urd ro ipyo o ov0pc6-
fitvos opyovro;.r69x,orovolc6verrr d),lq rroo6rqra Xqprrrqge-
vdpyerog,ovcryr<oioyrq rrs lerroupyie,;rou.
0 6v0ptono{oqdeferrqvonoOqxeup1fv4qprror(Unorupoqoevrlpyuerdopou 6rov[on[6vero, 6xeror
rip0rogn,epnordeKrd, venrod4l0Trop,dlerx, oAupndreqrv,onoioguorKorivontrnp6vpeertqrpogeq.
'Evorold yeUpeoivodr ,rrnpdnedrmepond6vopndvroor406loosoI.rovnivoronopouorri(owoot t
rrp6yg4prxreigvepyernoogu[obedovrxoorrdnepinrorpod4oo dvo;rtivtorenr6dpoorqptdr4rog.
F ]T A O IIAT HI E NEPTAEI
rH pqluvrl
'Evcpopdor vrrre(pevponopei vo ovuqro)0erqi r peeldllorq
ov0pc6nrvnqapd;rpooqA. p<eiraveigvo ,Sta0irreptapryyavr1.
'Evovpev(rvorivqrot,r6you1dprv,yepov6Kotpto noo6rq'ro
qnd rs6orpo.O yepov6g0a cu{rloeI rrl prlxCIvrreqvdpyIeo
rou ovrlK€r;;6vou0,o nporoldoer proElvvoltEvtKerjpcpdvloq
pqXovrr<eqvgdpyreog11onofo 6evunqplt; fiprv,rqrovqlc6vo-
vrqs quorKdro orropairrlror<o6orpro.
H enrorqprl prilqoenotrrj r<o0uoreprlpdvyoro rrg pqXovdg.
Tov -19oorcirvo,XprlorFofiorcirvrog'rqv rotvo6pro rdre ytrc6ooo
rq5 ev6pyero5,yv<opdT€uod€rt e(vqrq56vq'rovvq KorooKtuo-
o'refprropnxcv4 fiou vo prcA6iverevdpyeto rreptoo6reprlarr'
6oq -orov i6roXp6vo- rns rropiloupe. l-{pqlovrr<re1vipyero,
yro napdSsrypCIf,iou 1,rfiopo[rpvec rrirpoupeoe opropivo
Xpdvoo116pro orpoprlxqvq eivoronoro6qnore hy6reprl on6
rrlv evipyerofiou 0o rorqvslc6ooupe orov iSrolpdvo yto vo
ro ner6Xoupe.
'Evo priyeOofsiou pnopei r<q6r troou'rit vo ro ergpdoer ro-
lrjre po, olld r<orva pa1yoAoy(oetrt5 6,rvordrrlrss trcrspn-
Xov4Seivorq roXdS,ro nqtrfro, 6qlo6ry,r'q5;.rercprpo(6pevqg
evipyerogrrpos ro 1pdvo,orov orroio peroprpdorqre. Erp6-
oov n peroprpo(dpev qev d p y e rop n o p e i v o p e rp q O epi e rd -
rroro fpyo, eivor 6uvordv vo opioouprerq"r ro16 (P) r<ortrlgrrrl-
lfr<oqurori rou dpyou (W) npog'rov lpcivo (t) orov orroio e-
rrefuior11rce.
P=Y
h
-e
H [AO::A TH: ENEPTE]A)
O opropdguur65 ro16eer cp6oo1v1evipyeraperaprpd(srqHr s
oro0ep6puOpd.
To rorvo6proprdyeOeorggpd(erro pu0p6F€rov onoioqno6f-
6erorq npoocpdperoerv6pyersfr.qTrl provd6opdrprloqgo, ro
Are0v6lglorqpro, Xprlorporroirroer ro 6vo;rcrou JamesWatt,
rou korroi(ou nou pelrirooernv o1-Jjoprlxsv6{,ro6poprar[
(ovrag 6vorrpcr:'reirovrpq6troorrlv e,!ffu{r1rrlg BroyrlXovrr<r1g
Enqvdorqons.1 W (1 Bqr) fufyeror11roX6gnou ovrrotorXef
oe 1 Joulecvd 6eurepdtrenro1.W : 1 J/s.
TrlvroX6nou HCX6Siverpra Hnxqv1r1<o0cb}gerroupyefr,q
XopqKrrpfi(oupeug€hpr1-P.*-, evci'rr1vroX6perrlv onofa
rrlv rpogo6oro6perq trdpercsravqAtorcSpe-vPr*lo,-.O l6yo5
o = P.*/P-od,fiorrtr€i rov ouvretreorlisrro66oeorsTnSpqxq-
vr15E. ivurdvogapr0p6gndvro prrrpcirepoogn6 rq provd6o,
rrou ercppd(errqv'nordrqro rns Frlxsvq5cn6 rrlv dnor.1,rrqqg
erprerdtrleuonrns Snpoogepdprvrles'udpyroeg.
Trpdgrq(6os
Broloyrxroi um{pcro Kvry{pe9
Kop6rdov0pc6nou 3 W Aurorcvrpou 1 0k Wo 9 2 0 0k W
AvOpconoogo,noiog Tpoivou 1000kWcog6000kW
eivoor rfvqrog 17W AeponldvoBu rrcin7g07 21000kW
epyd(eror 50Wro9100W l-lupoftrou 1.000.00k0W
rrveiropre3,2km/h 750W Hlexrprrdoguoreudg
rpiXeroeoyc6veo5rfBou 1 .7 0w0 prlX<rvr1 10W
'Ewopodrovnerder pfXpr1 mW 9-uupyreo(rorrri 150W
Oeppoot<ptovo,; 1000W roc4.000W
Aekpivnr ourolupnder 2 1 0W Hler<rprrrrol u(ivc 5000Wrog8.000W
i\loyonouerreleiipyo 1000w Tqledpaopqroup<ioon3p0rl0W
'Eyxpopqrrltre5poor5l 00W
I
e
H TAOIIATHI ENEPIE]AI
o Av ot xdnotonpdptrqpoXpetcoreirero r(5 tvfpyetcS;
pdrporr15popurrrrl5entrdXuvoqv5o ro
4.8.Trouppoive6t rov oe ivo ovrlK€ip€vo
0eoprloertyvolmdxotioope10 m/s'. ooK€(ro(touvrmcrpdv6rl6) vopr1Koln Ktvtl-
o OrdpotcvnxeiytvoKatoqdtptoto, rrrq rou tvipyero6rorrlpeirot oroOeprl;
uno6rl}<6vouovrytenx6avnxtiyevo.
o H cvriorcoq rou oipo Oeopeirot 4.9.H Bopurrrq6uvotrrrrerlv6pyrec evd5
a;.relrlrio ecp6oo6vevovocpiperctrdrt oo;roroge(vctiotl pero yrv6pevorou pd-
pousrou oc6;.rcroe5ni ro 619o9mo onoio
6rocpopert16. ppiorerar.l-1orocrrprp<oe5ivotour6 ro 6-
9os;
4.10.flora eivcrq oXdorcl vdpeoomo ip-
yo rou BdpougK(Irorn percpolqrns Bo-
p u r r r 4 56 u v c p r r r l ,e; v i P Y e t o 5 ;
4.1.Xprlorponotc6vriovgo po$6 pnopo6- 4 . 1 1 .f l e p r y p d r p l 6e 6 o r p o t v 6 p e vroc r d
pevo peyatrc6oouprdenoto 6rjvo;rr1fl'<65 rqv e(,ili{,qrcovonoicovpnopotipevq 0e-
0c ro rorarpdpou;.rTet;eivqtourd ro o- orpqooupe6rr q ;r41ovrxqevdpyer6orarq-
noio qrrortreferqvt o to peyotrr6ooupp€€ p ei r o t .
rov po1tr6; 4.12.l-leprypdrpl6e6o rpcrvd;revxcard
rqv e{,itrr(rt1ov onoi<ovpnopoUpeva 0e-
4,2.ll<itgopi(ercqr povd6a1 Joule; trlprlooupe6rr q lrqxavrrqevdpyeroetror-
roverot.
4.3.H noo6r4ro rouoiltourlou Korqvo' 4.13.Orov oveBoivrerdnotogperc nd-
trarveroyrro rrlv ov6qxooqevd5ovtrrerpi- 6roorov rpiro 6pocpoq prlXcvtr(rou €-
vou eivqtovdtroyrrlrposro ipyo rqg 66vo- vipyeroou{dvercttA. n6 nou npodplerot
FrlSrrou onotr€irol Ytorrlv ov6q.rooqau- ourrl 11o6{11o11;
rr1.tl<65pnopodpevo ro ono6eiloupee-
prerprrd;tleprypdrprreq 6ro6rrooia. 4.14.Tt rdyerorro165;
4.4.To dpyoprcg6dvcpr1e5ivotrroodrqro 4.15.floroeivor povd6opitprloqgrr15r-
peroprpo(dpreve4v5ipyercA.Avro fpyo et'- oxrioS;l-lc6gop(t ror;
vorOertrdn, or6g;reroprpd(eervdpyetoIe;
norovrn peroprpd(erT;rouppoiveorv ro
dpyorr1566vopr1e5ivoraPvqrtrd;
4.5.l-lrr:5opf(erorro ipyo proqoroOepr15
66vopqgoeeu0riYPaPPriqvqoq; Il[a avcpotn$otipe...
4.6.Troqpoivero 6po56nrr7p4nx466va- 4.16.Avurgcirvoupprroi ndrpo pdpou550 N
p4; Avocpep0eiorero nopd6erypopro566- perq porl0ercpo1itro6E.ro dvqdrpo A rou
vopnsn orroio6eveivar6ro,rlprprq.
pro$odooro6;re[6voPr51 N rorto
4.7.I-lorqe(vorq oXiorl6pyouKolKlvrlrl'
I
h
e
H IAOI:A THI ENEPIEIA:
psrororrf(oupr Kord 2 tt<sroor6,H. rf-- p)YndpXepr eror6nrorl,lopig va qorei'rqr
rpo ppiorercroro dllo drpo.
66vop11.
a) H percprpa(dpevo4ro dr<poA evipyera y)Aoreirar66vopr16,roprc6grd0errlmrlv
eivor0,1J rcrxurqro.
p) H evdpyerrorouperoprpd(eroor rqv 4,21.H rrvrlrrr<erv1dpyereov6govrrrerpd-
nirpo eivor0,1j vou
o) Eivcrrdtleorryprlfoqpero yrvdpevo
y) H nirpo dvurpd)v€rorr<qrd10eKqromd rqg pd(ogrou wrrrerpivouetrfro rerpd-
ytllvorrls rcrldrqrdgrou.
6) To ipyo r4g 66vopq5rrlv onoio sor<o6- p) Au(dverrord rrlv ele60epqnrrioq rcrrv
ovrrretpfvrrrv.
p€oro drpo A eivor0,1J y) Mnopefvq €ivorpq6iv r<oraur6Xpovo
Av orevepyerordognr6lereqOeopq0oriav-
petrqrieg, p€ fior0 qnd rq nopondvcr;
ou1.tg<rir'vre;
4.17,floroqn6 rc nopordrcopey60r61ev vd Flv eivorpr16fvovdloya prero oriorq-
eivor6rovuoporr16: F0sv0qopc(s.
o) dpyop) 6dvopryl ) perordnron6) opprl 6) Eivord, n<rlgror n opp{, pdyeOo6grqvu-
e)rcrlirqro. oparrrd.
4.18.florego116rtg nopordr<o6uvdprer5 e) Eivorioq ;reB N eg6oovro ovrrrefpevo
errelodv apvrlrrr<i6pyo; f1ore56everre- dXe;rrd(o 1 lcgrcr roX6r4ro4 m/s.
Merroroqni rq rropondvo 6rocptoveire;
loLivipyo;
o) Bdpogevdgoriporo5oe opr(dvrrope- 4.22.'Evaor6pootrro0oiveror rd prp<org<e-
rtrrprivouerrrri6ou r<crepltlpevoF€oro-
ror<ivqoq. Oepqrc16rr1ro.[1ore5on6 rr5 oorodpe-
p) A6vo;rrr1rouqorei dvoelorqproro0rig
ve56uvdper5errelo6v ipyo 0errrdxor
oupnri(eror
y) Arivopqnou qorei ro revr<oprivvorlpo fior€Sopvrlrrr<dll;cogpnopo6irevo urrolo-
yiooupero otrrr<ipi yo;
oro ocporpiSerorc<pepod5.
6 ) T p r p no t r i o O q o q g
e)A6vcprqorrlpr{qg. 4.23.lloro srr6 ru nopaxdrro6pyavo
4.19.'EvouvrrreipevoKrveirqeru06ypop- Xpero(dpoory€rc vo perprloouprer16uvo-
po ;reoroOeprel nrtdXuvorl. ;-rrrrej vdpyerecvr <i5orporpr6ioau:gnpos ro
o) Toipyo rrlgooxodpevrolg'curd 66vo- f6ogog;
plg (ouvroropdvq5e)fvqrontrlo6rlnore o) lpovtiper-pop) (uy6 y) perporarvfo,
0 er r < d . l-lco50o yiver11pdrpqoq;
p) H yroviurorv 6rqvuopdrcov66voprr15 4.24.H popurrr<6r1uvoprrrel vdpyreo ev6g
(ouvroropdvqgrc) r yerordnrorl5efvoro- cv'rrrerpivou
rroo6rlnorepr16dv.
o) Au€dvercrrr<o0c6rgo ovrrreipevonf-
y) Iro rrvoripevo vrrrefpevo6roprorgpe- qr€r npos rc e6o<pog.
rcprpd(ercrevipyero.
Me'norqo116ourd oupcporveire; p)'EXerrogpovdSoperp(oeroqro ivo r(d-
outr.
4.20.Avogdpere6rrcdoo5 nopo6eiyprorc y) Meropdl,\erorr<cOc6rog ovrrrefyevo
rordTo orroio6everreleirqrdpyooerre- percrrveircr,reopr(dvrro6drre6o.
prnrr6oerogrr5onoieg: 6)'EXrev6q;.rc;.rrdv6orov ro ovrrreipevoef-
a) I'ivq oc6poooreircr66vcpr1rqr 6evu- vcr cr<ivr1ro.
ndpXer;rerardnroq. e) Meropdl)\erorro0<o5ro ovrrxefprevo
T,
4
e
H TAOIIATH: ENEPTEIAT
FsroKtv€iroltrpos ro fidv(l) Kdrn p€ropo- 4.27.L(socvrrrei:evoiorov;ro(cirvr,o M,
14tnSeivoriorl;.rero dpyorou pdpoug. ror ro M, ocprlvovrarrourdXpovoo116ro
Me norq on6 ourd 6rog<oveireA;rxqrolo-
i6rorirpo5vo ofuo0rloouove66o6rocpope-
yrlorerqv ondvrrlorl. rrxd rer<fupiveonfne6oyorvrc63v0" rcor
4.25.Io5 (qro6prevo oupnlrlpriloerero 45" ovriororXc.l,v q rprp4Oeorpq0oepf e-
rcevdenrtrdyovroog116'ronoporcdrcrr: lqrdo penoro or 6 rrgnopcrdr<onpord-
60 N, 1,2m J,MIKPH,22 cm,AYNA MIK H, oer5Erogcoviree;
AYNAMHID, YI, ME|MH,26cm,EMITIKH, o) H r<rvqrrreqvrpyrranou dXero M.,d-
3 N, K|NHT|KHAn, OOHKEYMEN3HJ,,6 N, rav grdoer oro d,5ocpoe5ivarfoqHsrrlv Kr-
vqrrrrlevipyeronou fXerro M, drov rprd-
ENEPI-E1I2A0,m).
v€roro i6a<pog.
'EvcelorrlprooroOepdg1,5N/cmiltr cpu- p) to M, cpOdve()r'roi6oqos rrprvon6 ro
o116prlrog . Ireperivoupero
dvodrpo oe roror6purpororXcopKo qrop- M1.
Xi(oupevo ro oul-rnri(ouporepyd oorri- y) Tqvi6roXpovrr<orr1ryp( ro 66orcrvo6pe-
vrogopr(dvro................o..r.o..d, llo d- vo avrrxeipevoiXouvndvrq rrlv i6ro6u-
r<poK. o0rrrngpolcrrpd11ouprnieoqq,66vo- voprrrlevdpyreoa)Snposro d6ocpog.
Fqrnv onoio oorefro elorrlprooro lipr 6) H raXrjrrlrop{:rnv onoiq ro M, rpOdver
pogyiverodr troxqrnro.......,..........I.e......oro 66o<poegfvoriorl rcordpd'rpop€rrlv
rdnorqorryprlnou ro iXouper16qoupnri-
oer rqrd 4 cm ro prlrogrou tfvot22 cm rcrXrirrlroFr rnv orroioro M, gOoveroro
rar q 66vopqrqv onoio oororjpreivoriorl d6o9o9.
pr .................H...e.l.o. orrr<.4..........€..-.. 4.28T. o ovrrre(prtvI oror I'ouv6doworpe
vipyerarrlv onoia pdXper reivqrq orr4rq vqpo pio<rltpo;otrfoqdn<rr5oro oX4po.
dXerono0r lre6oerro elurqpro ei vqr Iuyrparo6pe'roI rqr orq ouvfXeroro o-
rpqvou;reele60epcf.loporqporjperrlv rivq-
4.26.Lrodrpo ev6gvqporognpoo66vou-
pedvoogcrpi6roror 6rlproupyotl;i.vroe er-
r<pepir5o orroioevepyonoro6peovroropef-
rqr. Kqrdrq 6rdpreroprogoropqorlg:
o) Kcr0osro ogorp6ror<oripXerorrl Krvn-
rrxrlrou tvdpyeroouveX<io5u{dveror.
p) TodOporoprorvqrrr<r<'1o9r6uvoprrrleg-
vdpyerc6gr_orqpeiroor raOep6.
y) An6 rr5 6uvdpre5nou corodvrororo
o<porpf6rol pdvnnou errelei ipyo eivcrr on rcov66oovrrrerpivropvdXprdgrou ro I
< p r d o eorr r l v r p o ; i c r l i c .T p r p qo y e l q r d o .
ro pdpog.
6) Orqv ro vrlpoppeOeofrqv ro'rordpu- o) H 6uvo;rrrrr1vipyero rou I' ouvelcog
cpr0l ior1116uvoprrcr.ol u evipyero61er r1 ou{dver.
p) H pr'11ovrerrr1rdpyroerou I 6rorrlpeiror
p r r p 6 r e p qr r p q .
e) H p6vq66vopqrrouooreircl oro o(pdr- oroOepq.
y) Toipyo rrlg6(rvaprqrrglv onoioqorei ro
pi6roeivorro pdpo5rou.
Or rprpdgKororovrrordoerg0eropo6vror revropdvovqprooro I' eivqrcpvrlrrrd.
6)Toipyo rqq Siivopq5rqv onoiooorcerio
apetrrlrieq.
revrropfvovqpraoro Z eivqrOerrx5.
Menoro o116qurd ouprgcoivre;
3
e
e) H pqXovrr<e(vipyercrou ouortlporo5 pdrr rpellof, ro roto0ero6pep6oooro
rorv66oovrtretpivconvopopivelmoOepq. vep6r<aro tlgqvoupe.O <pelldSopli(er
or) H rrvqrrrrlevipyerorou I' 6loprc69 vo oveBoiveKr.o0al5ovepoiverrar ppioxe-
rcr otr6rtrqpopgioo oro uyp6,rolupr(6-
ou{dver.
poore6rt q iiuvaprrrel vipyerorou vepo6
Menoroorrdqurd oupcPtrlveire;
peropdMeror.llpoonoOrlor€vo ro 6trot-
4.29,s. fto vo orcp<polcoo<poiXptndv<rl otroyrloere.
npiner vo ou{r1octoq 6uvoptr<pqouevfp-
4.31.'Evc ncxt6rfcdverrooutrr10poK.c0c65
yerorard
p. Xperdorqrevo qorc6ouveXc66g6vop11 yhorpdernpo5ro rdro
Nto6rovT. oo<6poProudXertc6Po o) H 6uvoprrcrrol u evipycra6rar4peirct
orcOep4.
r(goutr6uvoprrqe5vipyetog.
y. Trirpodx,o...,.........r.(.d. oul rrvqrrrq5 p) H prqlovrr(rou evipyerq€^orr(6v€ror.
evipyerogT. t 0o ro rdvco;l-lpoplinol cri- y) H oororip€vrol ro nor6irprprlolioOrl-
{,nontnS eviPYreo5.E}ni(covo or15fler ipyo opvqtrr<6.
p4ondoo ravivo n66r. 6)Autdveror11Oepporpcoia.
Iog (qrodpevo ou;rnl4prioererq revd. Merrotoon(rourd 6rorPotveire;
4.32.Kdnorog6toOdre;rrerpororvio(,uy6
<pop;rmi<oer:rcr 1pov6p€rpo.fl1650o
pnopdotrvo perprloer rqv toXtifiou ovo-
rrr6ooeto o6ryavroprdoqu rord ro cxvfpo-
opo prosor(ilo5;
4.33.BpeirerrgoooriS ovrtorotXioetos-
pr0pr6rvcr ypoppdr<ov.
'1.Efvqiroqperqv ovd provd6lopdvou pe-
roprpo(6pevn€vipYsr:)
Krvqrrrqevipyero
2. Enrv6qoeJro€vrurloorcrrlptlricooq
rq5 orpopqxavrlS
P)Mo$65
3. Mogentrpdnevt o ou{dvouprreqv rrprl
Pro566voPr19 y) 'Epyoprob6vopr15
4.'Evsr4do.rl ovd beurepdlenro
6)JameWs att
5. Eivorforl;reto rivo6e6repotq5 pd(o5
rou oriporcg tnf ro rerpdycrtvorr15rcrX6-
rqrdg'rou.
4.30.Bd(oupevepdo'r(vo6o1eio prilptrd- e)Auvolttrrel viPYeto
noro tirpo5'.Yorepanaipvoupeivo rop-
T
h
e
H IAO''A THI ENEPIEIA>
6. Ko0congicpreriva oopo 4.36.Atio dvOporrorpopdvero pcryovd-
q rrpqrqgetrorrc6verot ru,ro onofoperortveirot novo ot pdyeS
or) lo'X65 opr(dvrre5.
7 . Y n 5o p r o p i v en5p o 0 n o O d or 5e
eivoryrv6pevroqg 66voprq5
enirq percr<intor1.
0'Evopor.
o) Ynotroyiorero oltr6 ipyo nou er<retrei-
rsr ond tr5 opr(dvrre65uvd;retF5r : 200
4.34.'Evogdv0ponoSperortve( rdnoto q- N ror F, : 300N ()€U€r0r6filor510m'
vrrreipevorctrd 2 pirpo oot<tllvtogrou p) l-lpoo6ropforso pirpo pro5dllr1566-
66vaprr1ord rqv rore60uvotrl q5 percrd- voFrls,q onoio 0rrerrelo6oeto 6ro dpyo
trrorls.Iog (qrod;revo unotroyfo€rsrrlv oorodpevrol pt(c'vrtound ycovio45' ot
rr;.r1rr1lq 66vopqgpaor(6pevoorro YtYo-
v6gdrr rord 'rq petcrfvqorlourq o dv- oXiorlpt rqv nprqyoti;revq;rerorcintoq.
Aivovrqtorrrpig rov ycovr<rqrrv= 30" rqt
0pcono5peroprpd(er oro cvrtrefpevoe- q2=bu
vipyera 7 rldov).. Na 0eoprlocre6rt 6ev 4.37. Ol)ttrr.vc prerocp6peirvso dnrntro
ooreirot dMq 6dvcpqoro ovrtreipevo.
on6 rq prcyc,rvic(xA)rou 6opro'r(oourrlv
4.35.'Evocvrrrefpevo150ypcl.tpopfcov dllq (B).
rrpoo6ive'rcor ro drpo Suvopdperpoxuor
peroroni(erotrrdvo oe opr(6vrroentrpd- C B
napKe
verorcrd 20 erqtooro.
Kurd rr16rdpr<erqo5 peroxivqonsrou ro
6uvop6perp6oerlveor rc0epd0,3N. Ic5
(qroripevo unotroYioere
,.'F,
a) ro ipyo rrlg brivopr15nou qorei ro 're- .F--,Dt,
vr<opivovrlpo oro cvrtre lPevo lm
p) rqv evdpyeronou petoprpdorqre oro
qvrrKefuevo u) floro6pdpoougoup<pipevtc orolou-
Oqoererov A C B 11rov A D B;
y) rrlv errrrdluvorl rou wrtretp6vou' p) Xprlorponotqorirroe orotXeicnou qvo-
No Oecoprloetreqv rprprl opelqric. ypdgovror oro o1(po Ytovo unoloyioere
ro ipyo rqq rprprl5rord rrg peroxrvqoer5
ACBToTADB;
Kard rrlv otrioOqoor1rq por6ro q 66vopq
rplp{S eivotT, ==200 N, evr6oro ncprd
T
e
H TA OIIATH I E N E P IE IA >
Tz=70N. orlsrou KOrdT|ssvrfororxssxpovrKrosflY-
4.38.fl6oqevipyeranpdnervo peroprpd- pig 6ivovrororrrirov napordro nivqxq.
ooup€os ;rronfrpo 200ypop;ropicoyvro X p6vos(s) 0 0,5 1 1,5 2 2,5 3
v0 rns npoo6c6ooupreuXdrrlro Merordnroq(m) 0 1,25 5 'l'1,25 20 31,25 45
a) 4 mlsP)8 m/sy) 20 m/s Orrd{re ivrrv n(voro peenrd orrylegr<or
i{r oerp65E. ;dlreorrs 6rionp<6re5orqle5
4.39.I-l6oqevipyeronpiner vc peroprpd- rr5rrpig rorrXpdvouKorrrls peror6nroqg.
ooulisos pronirpo 300ypcppopicorvi- Ynoloyioreor4 ouvdXerrorgnoporcdrcrl
ort vq rrlv erogev6oviooupoepr(dvrroc- noodrrlregr<cyre;riorr rrgundlorne5orq-
nd 619o51,25m Korvo g0doer oe opr(d- leg perq onortlioporo. Kd0eptoor'
vrro orr6oroorl ouri5 ovoqrfpercroro po16p6rvorrr;.ro
q) 2 m B)20m; Korors ovriororleglpovrrdgorrypig.
o) To 6q,ro5ndvor qn6 ro i6o<po5p. ) T4
4.40.H r<op6r6diver 1 Jouleoe xdOeXr6- popurrxq6uvoprrreqv6pyuoog npogro d-
no. Err;rrlorero otrlrdipyo nou 6ivrrpro 6o<pogy.) To prirporq5 roXdrqrog.6)Trlv
r<crp6orde pro(or1.O Olu;rrrogiler dqo5 r c r v r l r r rer lv i l r y er c . e )T q p r l X o v r r rel v i p y er o .
29181t(.rpaY.noloyiorerq pd(o rou oco-
poros rrou rrp6rrer vo ovur1rcrroeqr'en6 4.44.Bprordlrooro€€ivo pnokdvroe6q,rog
rqv enrcpdvroerqg 0dloooosorrlv Kopu- 8 m ond ro i>pdp<oorerorpev6ovi(ouivpore
cprrl ou OtrJpnoud, ro,evo nporotrioerr ovrrxerpevorilcryrorpos ro ndvo He4 m/s.
o6{11o161uvoprxrlegvipyero5ioq prerqv e- Mendorlrqgirrlro <pOdvoerro i6ogog;
vipyeronou preroprpd(eroorn6 rrlv r<op-
6 r do e ; r r o( c o r 1 . 4.45.Topopi6Mr , iler pd(o 100g xoriler
4.41.Med[r oupnoyef5r6pougivq nor6i npoo6e0eof ro drpo evd5vqporo5.Tovrl-
i c p r r o { e6 l e go u r i g ' r r gr o r o o r e u 6 g . po nepvder rrndorcivqrqrpoXolioKororo
Kci0xe6po5iler dyxo64cm'rqrpd(oa00g. dllo drpo rou npoo6ivrror ro popi6rM,
pd(oS 200 g €rot
crrorerq 66o rprl -
p0r0 rou vr'1poro5
vo eivor rcrordpu-
q0.
Iuyrporo6p€ r0
66o popi6ro rrrore
vo eivor orfvqro
Io5 (rlroripevo unoloyioererr1Suvoprr<r1 Mr Mz Korvq ppioxovror
-oro dr<porou rr-
evdpyer(oog npo5ro i6ogo5)rdOe<qrq- vr<rlpdv ovur l p o r o 5 -Korro 6riooe 6rgog
or<eu115. 50cmon 6 r-od6oc poT5.o ocprlvoupoerq
4.42.Er<ro{e6oupnrpeogrq ndvo ;ro rri- ouviXeroe},60spoondrero M, rrveiror
rpo pd(o5 120ypopyopi<ovtl.d'or1evip- lrposro d6<rcpoe5vciro M, ovipXeror.
yao np6rr€vr o rns peroprpdooupy€rovo Io5 (qroripr va npoplig€r€ rqv ro16rq-
<p0doreo) or rjqog2 m p) oe611,r1o09m; ro rou ro0e'rdgrord rr1orryyqrrouqrri-
4.43.'Evqpol6B6rvoripo pepd(o a kgc- Xouvu\uopsl'prrrd<ord80 cm.No 0eorpq-
rpqvrrcrond 6rjog45 m ndvcoon6 ro 66o- o€rsrrlv rpr[]4cpelqrio.
<pogO. rrrpigrq5 r<oroxdpugqpgerordnr-
I
e
I-1IAO>:A THI ENEPIEIA:
4.46.'Evar<our4i 00g og(veror orrlv Ko- 10cm; H yroviorou rexlrpdvouenrrri6ou
pugrl rexfupivouerrrni6ouoe6tpo550cm eivoro = 3a" ffpr[ii5opelrlrdeg).
on6 ro d6ogogr<oor trro0oivre;riXprnou
g0dveroro i6arpogI.c5 (qro6;re,Oeorpc,i-
vros rrlv rprprlopelrlrio, va unoloyioe're
c) ro ipyo raOeprdo5n6 ttg 6uvdpern5ou
oorodvrormo cvrtreipevo
p) rq peropol4tns 6uvoprr45evipyero5
ror rq peropolqrqg rrv4rrrrl5evfpyerog
rord rq prrcxivrloqourq.
4.47.H prrprlo<poipo uv6deropr e6riod-
poroelarrlprcror errelei rotrovrc6oerogt
opr(dvrro errr<pdtvaeperprpi5 oorl;rc-
vre5.Aivovroror ncpord'rconlrlporpopieg.
O6on x(cm) u(m/s)U(J) K(J)
1 27,0 0 0,091 0 0,091
I 0,26 0.084 0.007 0091
3 22,8 0,065 0,025 0,090 4.49.Or 6roordrrergrou ldorrXourrlq
A 17,8 0,70 0,040 0,049 0,089 ogevrdvogeivarodpgcovopr ro ox4pCI
AO = OB : 10crr 6rqv ro ldorrXo6evei-
fi
vor revr<opivo.H ondorqoq r<rlv66o d-
,.:1 Kpovrrls 6rXdtrae5ivorAB = 12 cm.'Evcr
rtF,l I
prrpdXotrir<prd(ct520 g orepeulverororo
d---=*A o q p r e iOo .
Tqreftano) 4 pd(o rr15ogorpo5F) q oro- Kporcovroogr€p€(ipero ivo Xdprrq 6rXd-
0epdr<dOeeAorrlpiouy) q pdyrorrlruX6rq- trorevrr6voupspr ro dllo ro ldorrXo pi-
ro rrls ogoipo5.Troupnepdoporapyd(e-
rr yro rqv e{ifu{r1rrlg otrrrrlgevfpyerog 1prro oqpeio O'.
rou ouorqycro5; Tc6pceivorAO' : O' B = 25 cm. H otl{r1-
orl rns 6uvoprr<re1v<i;pyerogtivor ioq pe
112kx'dnoux : OO' ror k prroorc0epd,
11onoioyraro ldrrrrXoeivcr80 N/m.
Agrlvoupero ldo'rrXo.Menoto raXdrrlro
er<ogev6ovf(eroarXolfrr;
4.48.Toruhv6pr16o<rl;.rIo., iler pd(o 200 4.50.l-loipvou;rfevo roppdrrondyro 40
cm,oro ivq rou dr<ponpoo6ivoupedvopa-
g evcrrro I, 360g.ApXrrdouyrpcrrod;rreo
o6orrlpoKorot rdrrotq ortyprlro orprl-
voup€f.loro0q eivcrq roXdrqro rd0eoc6-
porogd'rov ro I' 6Xer perorcrvqOreoird
-o
pi6r100I Korro dMo drpo ro ouyrporod- p) n6oo elorrc60rlrer1pqXovtrqevipyero
Hrp€ro Xiprpog.Ar1;rroupyefdrcror rivq rcrd rrlv ovo,:rrrr145 r<iv4oqtr,6yorq5 o-
vrlporqgmdOpqgf.lpoo6iboupmeo Bopi6r vrforoorlgrou o6po.
opr(6vrroruldrqro 5 cm/sxord rpdno c6- 4.54. Orqv c cxrpopdrqngicpreron6 6-
orr vq exrelioerrurfurq r<iv4oor1e rorord- rgo51 m ro 6iXrurou roiprou pouhd(er
purpoenine6oI.ag 4qro6pep, oor(dpevor r<ord50 cm. lloro eivsrro etrdXroro6qog
oro v6po6rarrlpqoqgrrlg pqlovrrrl5evip- -ond ro 66orpogo- ro oroio np6ner vo
yerosvo ono6ei{ere6rr q rivqo4ourrl 6ev revroroeof pr(d'vrroro 6tXru,tiore ot q-
pnopeivoeivoropatrqrur<furrI1a.g ft1rorlpe
enioqgvo unoloyioereo) rqv rcX6rrlro rpopdregvo ;.rnopotivvc nigrouv srr6 tj-
rou ovrrKauivou6rqv neovdeqr rr6ro o- qros16m 1c,r1lrig<iv6uvo;
vc6repoqpriorqg rpold5 r<opr ) rr166va-
4.55.O BooiTAr le[iyrecpunqp{eyronotr-
pq q onoioooreirororov rtvropivo ond-
Id 1p6vrancyr<6oprongporo0trqrqsorrlv
yro rord rq mryprlereivqH. rprpqKdrrl o- dpoq Bopc6vM, nopeire vo unoloyioere
14 (pio4)rotr6nou ovinru{e os prorou
vrimooqrou odpo0eorpo6vraorpelrlrie5. npoond0erorord rqv onoia orlrooe 254
4.51.A6ooc{roro peioegpd(egouv6iowar kgoe1,20m pioo oe1,5s;
peivo elarqproKoroKrvrlro6nvdv<rorsopr- 4 . 5 6 . ' E v o u ' r o r i v r l r o1 . 2 0 0k g< n r d v e rt>u
(6wro leio 6dne6oA. orrirvragopr(6wrego- 72kmlhpdoooe6 6eurep6trenra.
Ayvo<6vrorgqv ovrioroorl rou oipo urro-
vriOere6guvdperoqro o6orqpo,nporotro6- loyiore rrlv rrryrrirouonarrqOqxe.
peoupnfeorrlou elorrlpiourard x : 2 cm
Kororrl ouviXeroorprlvoupeetre60eproor ro
66oocopororourdlpovo. Ynotroyiorerqv
rcrXdrqrordOeoopcrogrq mrypqnou ro
elor4pro0c {cvoppeOoerfo guorr6rou p4-
xoq.Aiverorri moOepdrou elorqpiouk : 9
N/mror rl pd(o rdOeoc6porogm = 40g.
4.52.Mrq prrpqXol6p6rvqocpuipcou-
yrpo6rrcrpcprodMq pero}hrq ocporpai-
oqgorrivo5,I orroiorlrov orivqrq. floro5
rpine r vo eivoro tr<iyo5'rcopvo(r6vrcov
66oorporpdlvriore perd rrlv rpo6orlvo rr-
vqOodvperoX6rrlregiorovpdrp<ocvMd o-
vtiOerqgrore60uvorlgO; ecop(or6err rord
rqv xpodorq; p4Xovrr<eqv6pyerroou ou-
o r r l p o r o g6 e vn o p o u o i o o er o p r d p e r o p o -
trryA. el0eireenioq5<1rqr oppqrqg rrvo6pe-
vr15ogofpog,nprvon6 rq o6yrpouorlr,<o-
reu06veroorro riwpo rqgcrcivqr45.
4.53.Er<ogev6ov(ourpreposro ndvrr:pro
p r r p r lp n o t r i r o o3 0 y p o p p o p i c opve r o X 6 -
rrlro 6 cm/sror aurrl rpOdveore 6rpog130
cm,Iog (qrodpevo unoloyioerec) nd'or1
evipyeroperaprpdoapeorrl ynclfroo Kol
-o
H IAOIIA THI ENEPIEIA:
Anoro 3r8\io
H e{dr{r1rav 6ecbvorrl@ucttxq
rov A. Einstei-nL.Infeld.
Tc pcyovtirco
Aq)utpryoouyerqv xivqorlrou Ao,i'xon6aryw6rc6roo lrlyrottpyeEi pxiaoryKatrou ro
ovopd(ouv<puyovdrnx'Eva pxp6 puyovdruavtpd(erat q onpbyverar oro rpryA6repo
or1yeiorr1qrpoydq.'Orav agrlvtrar eAti9epo,apXi(etyE rrlv tvifipaorl rou pdpougrou
va xuA6T, TporSd xdr<u,6ortpa avepa,ivtxt atxarepaivext ard pry<oqpngypaltyrlqgdvrs-
onxd xapnfAqs,npoxaAdvraqo' auro6c,rou ilvat pf.oatva piyocp,e ng an6roptq o)Aa-
ytq rrls raXrjrr1raqT. omo qqA6orlyeio{van xeivo an6 ro ono,b{eruvdr,o payov6,nxa,t
ro 6,.1toaqur6 6ev0a ro {avaErdou orqv rropeiarou. Mn nA4pnsneprypaE4rr1cx,ivry-
o4q0a qrav noA6nepinAoxrlY. rapytr,and rq yia' q ltqXcwxrnl Atupdrou npopAqparoc,,
or aAAuy(.graXrirqraq xat0tor79p(.oaoro ypdvo, n an6 rqv dNtq n rp94 rcu xsrd,ouvt-
Trasrl a6{r1oqrqS)tpltoxpctoiacm, q p&yeqxatorouq rpoxo6q.O p6voqorlyavnx6gAS-
yosyts rr1\niptorl roo guorxo1gauoytvoo o' suri.qzg 6uo6qteg,eivarva,xdvooltt6o-
varq rq Xp4oqtwoui.wrou ou(qrrl9rlKavrporlyo1yeva.H 6nip,eoqo\qyeio' 6va 6ear6
reipapa, enet|q (.va guotrc6
Eaw6pevo 6nou 0s,tpEav(5-
ravt povdya q pr1yavrcr16qq,
lttropotiltt va ro gavrsoro1pe, .."1
6yt 61tu9 Kc; va ro rpcypc,ro-
notrTooUltt fkl:'?
frc, ro 6es,r6 rtipa;tct pro- \.i,7
po6pe va gavraoro1pe muq,xd-
notog xardEept va neptopioet o-
AoxAqpwnxd rrlv rp$q rou ou-
voiuiet ndvrct rqv xivr1or1t.laip-
verAom6vrqv ar6Eaoq va eEcplt6ourqv cvarcdAuqqrou orryvr.tpirnuto4 pas,xa rpinu
vapptt ltdvogrou rov rpdnoyn vs rqvrpayparonouyou.A..gnapaxoAot-t?r1ooruq1vtxt ivq-
on rou 6uro6 payovni ndvu-tong 6eart9 payeg{,trcvu:vraqa- rTorq orryp4nou apXi(etva
xarepaivuand r7vaEerrlpia.'Ooorcveiru,11ar6maoq'rou ctrd ro tlagog luxpafveal )Ad,
rl raytirqrd rou pqakixer H Ep*orl aurrl pnopei,and nprinrypa''td, va pag{avaEtperoro
poa)6 rq gpdoq an6 ro yd)qpc {tvrlgyAtfiooaq:<<Aetvytu1loA6pto, /.Adtyere6fi roproxd-
han.Erolrrl 6ptog6eveivcx16ooxourq.Av64ttocoro yeyovSg71rg6evtXcoyoA1ptKcrorro
6n wdg tytt tQ roprorc1An,6w undpytt xaltn oytoq, oild un'ipXtt pn noA6TTpxypcrr
xr1efdprqor1avdyeoaorqv an6oraoq rou payovtotisn5 ro i6ogroqKu rnv rayirryrd roo.
Mnopotjytva onoAoyioouprtnvraXtirqraroupayovtotoi 'oron\qnorE orryH4a, v ftpooyt
ot. n 6rpoqppioxeranrrdvw un6 ro t6aEoc,t.lapokinoopt. 61twq86i/-srur6 ro orllttio t{at-
ricq rou rooonxol Xaparcrrlpraou, nou tt<gpd(eru xoAtjrtpaSttSn0qpanxo6qrinooc,.
T
X
e
H IAO:IA TH: ENEPIEIA:
Lro av<brepoorlpeio,q raXtjr7ra rou payovro1eivatyr$€vxatro pay6wppioxtrat 30
ptrpa ndv<uan6 ro t6agoc,.'Oravppioxtrat oro yayqA1rtpooqpeb,6u ro Xupi(u xa-
ptctanSoraorlsn6 ro E6cgo9xatrl raylrryrd rou Erdvu orrl ptyrcrq nyr1.Ta6e6oprdvo
aurd pnopotjvvc tKEpaoroiv pe dAAooc,6pouZqr:o 'qqA6rtpooqpeioro payovdru(.Xet
fiuvaprcl ev{,pyen,aAAddXtxcxnvqnrq ev€pyenq uipyua xivqoqg.Zro yaltqA6rtpo
or1peiotyerrr:'peyaAtjrtprlruvqnxqevtpyen, aAAa6p xat6uvapxq.L' 6Aara ev\dpeoa
oqp{a, 6roo 6.Xeptn oprcp€vrr1ayrjrqra xcxppioxtrrx o' tvct optoltfuorj'4,toc(y,,errau-
r6ypova xarruvr1nxrx1at6uva1.uxerv1i.pyen.H \uvapxq evtpruo ou{dverpt ro 6,goq,e-
vtb 11nvrlnxqptyaAtbvtt,5oo cu{dvtt q raytrqra. Ot apXi.cr,qc,pqyawxr1acp, xodvva e-
€qyrloouvrqv xivrloq.2rr1ya1rlpanxrlreprypaErltyouyc 66oercgpdo€ryya rqv pvEp-
yen. Ka)tqtd rouqpe'rapdAAeracttAAdro d1potopdrouqrapaptvet ora1tp6. EivcxAor
n6v \uvardv va opiooupepa)qStanxdxata,uorrlpdng i.vvorcgrrTS\uvapxqq evtpyeng
rou tfctprdranan6 rq )toq, xarqq ruvqnxqcu(pyarc4 nou t{aprdrar cn6 rqv rayrjrq-
ra. H ercayuyrlaurtbvruv 66o6pun e(vatpepaiwgsu)sip€rq Ksr6ev&xatoAoyeirar
napd an6 Adyoug&eux6fuxor1sT.od1potoparuv 6oon<toorqruvptvu ora)epd xsto-
voltd(ucr ora)tpd rrlqxivrloqg.H ofuxr1evtpytn, xrvqnxqxat6uvapxr7l,tropei va ou-
yxpt)ti 1tctvct ofux6,cg rro1pey€ Xp4lrctn, ou ytvtt aperdpAqrooe noodrqrc, aAAdnoo
ynopei ouveXd4va perarpireru sn6 (.vs,ei6ocv,oyioya'roqo' dAAoa, n6 \oAAdpru,aq
noiye, oe Aipeqx,atavriorpogct,oiyguva pt xa1oprolttvtyavrcAAarcnxoqXtory.
Zra npaypanrcdpayovdrua,6rou ot rp${.q estro\i(ot: ro payovdrcvt a {avaErdoet
ro 6,poqanr6ro oroio {txivryoe,un6,pyettdvrct Hn ouv€ 4c,evaAAayarlvdpeoaorqv Kt-
vqnxq xatrr7\ovayxq ui.pylc' E6dtdyuq ro d.1potolta6tv nctpap(.veotra)epd, aAAd
pexi.werarT. <itpcXpud(trar tvc cuccJpoanoo\ctio xat1appcil(.opqpa,yn va ouvSiooope
plra{ti rouc,nl yqXawxrlrca1t tppxq rAeupdrr1cx,ivrlorlsO, nAoiroqruv ouverudr xc.t
ruv yevtxt1o€u)vnou npoxlnrouv arr' surd ro pqpa, 0a 5oavtiapydrepa.
Lrqv xivtloryynAtxtrar r<bpc616r, reprco6repocnd rqv rcvrynrcxqat rr16ova1trccr7vtp-
y€.n:q 0tpltxq evipyen. Avnorotyti orqv eAd,rruorlrrlc,Hnxctwxrlcutpyttctg, 6qAa6q
rqg nvqnrcqcKCirlrlg |ovaltxrl1 evtpyerug;Aev0' apyr1ottva Eaveiyn v(.ctorr60eor1A.v
pnopeivct)eupq)ei oav popg4 evi.pyengr,dre io<aqro 6'0poroparuv rpri-tvevepyerbv
0tpyxr1c,iuvapxrlc Ko.Kt NrlrK4gr,apaptvet ora1tp6.
h
€-
I']IAO>IATH' ENTPIAE)
H Oep;.rorpooiraAnd rov folrlaio orov Kdtroro H r<liprorcKoelviror
Oepprrrrloopponio. Oepgrjrqruxcr 0rpyorpuoiuo H 0epefuc66q<;e-
(iooorlrq50eppr6operpio 5Er6rr<Ore1pporqro Mtogeppdrrlrolrw-
0dvouoqr H OepFrirqreqivsrprroprpo(ripeverlvdpwrc. H CIpx4l-ns
6rar{pqoqgr4g tvdpyaus. O nptirrogvripogr49 0rppo6uvoprx{or;
Or66oprlXcvropoafvrotrluyq5evipyero5o Evdpyreoeooreprrrlr Evdp-
ysroKorplxprixoopoIg Aropor<oprdpruo Eooreprxerlvipyeroxorpr-
rp6<oqro5o Krvrlrrxe4eopiqrcovoepio:vo O &rirrpos vtipo5rrp50ep-
po6uvoprrri5o i\nd rn or<-rrrdrou por<p6r<ool.-toHuevipyerourro-
Bcl0;rf(errurAndrrl oro'ntorou ;rrrpdxoopoouEvrponioo Torpal'uri-
pevo(to{ 3 XnFrKrvi dpyuco H}rnx4arrrvopolio I frlsQupn0o(iFe
. Nqovqporq0o6pto Nu)\6oouFnr popl{yurc r NrorouFdvro.
o )dAqrcs ppd6n(e
oav rov o\pdpyupo nou yay7Ati:vet
ye ro np<isroE0ru6nupo
Nir<oq-A.li{4c,AoAdvoyAoo
H errccpqH€ro 0epp611ro qru1p6oc6popdg6qproup-
ysi ro yvalor6 oio0qpo.To rxio0rlpr€qivorufioK€rl-rsvr-
rc6.Irov i6ro1c6po6vcgrpucirver6,vogdtrlog (eoraf
vrror. (DqvTcroreirerr6oooopoprl0o eivor11Erocpcrrvio
avdpreoo ' dvqvEorcprc6rro,fvqvKevudrrol v ppe0o6v
dvopeorlpepdro<er rrtroreiqtqg Adproogror 0el(oouv
vc prrlrloouyvrq rrs rfuporrr,:igouve{K€Seraivourou
peorl;reprori.
H 0epporpqoiq eivqr ro piyeOogrrou errrv6rloovor
dvOporroryrs vo prroporivvo <po€proloyofv>ovrrrerpevrrd
rqv arrio rrou rrpoKolefour6 ro oio3rlpc.Ee6e6opivqorrypq
ono6i6oupreI,orrr6v, oe rd0e oc6pra.rrorrprq0epporpooiog oe
rpdno c6o'rerl rrp( aurq va e(vorrorvq yro 6oo or6para ppi-
oKovrdrorqv i6ro r<ordorooq.
frq vq ro Korovoqoouperql6 0o eivqrvs Oiooupero rrp6-
PInUo oe 66o po0pf6eg.Irq'u rrp<6rqqvqp<rlrr6proore
r<itq Oa ouyrpivoups rrS Oep'prorpoorordpgetapotrdg.
O npoBlqporro;.r690a yog c6qyrloerorrlv Kcrooreuq
tou Oepproor6rrrouIr.o 6e6'r€pofiqpqKolou0o6perr1
6rq6r<ooiq6qproupyfosHro(;Oeppror<poroqr5 rdipo-
KqS,F€ pdoq rqv onoio 0a ;rnoporiF€vq ono6i6oupe
oe rdOeOepprrrr;qr-dor-soqdvcvopropdvooprOpdA,.v
ecpo6rdooupr€o 0epproor6nro p€ rrlv rliproro, 0o 6-
XouH€rrrs 6vs 0epp6perpo.
Anorov fotrrtroiorovKdtroro
Ie pro erlopl odv rrl 6rrrl pog, rrou efprooree{orreroprivovr o
ororipe rov sK(povryrqrou pereorpo,\oyrxo6delriou vo prlder
j
e
H ENEPTEAIAIATHPE]TKAAIIYTIOBAOMIZETAI
yrc rrl (€o"rqKorro Kp6oH€qpr0po6s,eivqrf-
ocrrs66oKotrovcrgcvroorodpe 6rr fiprv drr6
300 1p6vro6ev eile ppe€tefivag dv0pcD'nog,
vo errrvorloer rdrroro rpcirro yrc rn pdrprloq
rcov0eppoKpCIor6vK.oveig6ev prrropofoevo
Kqeopfo€(rfi6oo) (eor6reprl rlrov pro pipo
crr6'rr1vnpoqyoripevq.
Or rrpcbregrrpoorrd0er€Syrq vcxrrpoo6ro-
prorei 116ropd0proqovdpeoooro r<p6oror ro
1to-r6 dploav ro'rd rc rilrl rou 16ou qrc6vq
rar 66rrrosvro Oeppoox<irno.'Hrov ro rrpcir-
ro 6pyovo Hsrq orro(s i'yrve11ofyrprorl ovd-
F€oCoI ro rp6o ror ro (tor6 Xcopi'Srrlv rro-
peppolrl cxvOpc6rnvoouro0rlporog. To rrpcfro
Oeppoor6rrropaor(6rqv r)rrl 6roorotrq rou o-
dpc. Flpin€r vo €firvoqOr1rKeGrvo KqrooK€u-
dorqre orrd ro lcrfulcio tlrq i 593, rqv enoXrl
Oeppoordrnoruo17ou rrou rl petrirq rrlg cgrjorlgiyer crpXfo€vro €yKqrolefnerrrlv
orr0vMo.ouoerioov rpold rrls Trororrrqn5eprypoq4SKGvr o erodpleroKr ororrlv
enrmqptir0vh. topevrio neprolrlTo)vrrooor(rov Ksrro)v <rprOprcT(rovv.errdpevoqrcil-
vs KqrooKeud(ovrcdxpr yovcxnou poofZ,ovroorrrl 6raorotrq
rov uypr6vA. pXrr<Xi pqorHorroreirroorvr,p5c, xpy6reprcpaoi
=
rt
e
Xpopqrtol-rivo orvdrrveuporqr rrolir orrdvrc ld6r. H or<6r.pq
vCIXprlolponorq0ieu6pdpyupogulorrorrlOrp<per6voro 1721s-
n6 ro fep;rov 6Danie lF a h re n h e i(tNlrd v re l(Do p e v d rr1, 6 8 6 -
1736),rrou d6cooeKorrs rrpr6ro 0rpp6prrpu H€rq orjylpovq
fworc.
Iro prera{6 11r6ia vq qrro6i6€r(rt ro Oeppdrcr ro rptio
preopr0po6gd6<ooerrg rrpc6'regpo0poloyqoerg,nou oplxd
unrlp{ov evrel<ir5ouOoipere5.M67rrgors 1694 o Renaldini
0o nporeiver 11po0po}6yqorl vo olqpi(€rcxr o€ 66o orqOe-
pri oqpeio-0ep;.roxpqoiss,oe 66o 6qlo6r1 opr0po6g o116
rous ofioioug o rrp<6'rogvo ovrrororle ( orq o'roO€pn-d-
rrcrrgrrioreue- 0epprorpoofoorrlv ofiofo er<6qk6v€Torro
cporvdpevorns r4Erls rou rrdyou ror o 6erjr€posorrl 0eppo-
r<poofo-oroOepq rr ourrl Srrcogn ioreue- rrou ppd(e r ro
vepd,.Tq 66o surd orlpreio0o 6rlproupyotloovo16 rer rsr
rrdpo rdrrorq rclfproro.
Or rreproodrepo6r FrS, erno'rrlpovegapvr6vrouoqv6rr o
ppoop6g'rou vepo6yrvdtov oe orcrOepr0l eppor<paoioI.rq
6rdpr<reo T<rrvrrevrlv'ro1p6v<ovrrou txrolo6Orloov,6ev drrcxq-re
vc ovc(rlreir-or rdrroro rlfporco e6rrtlrl ror e{urrrlperrrrl. Ae-
rcd6eg0ep;.:orpcororig r<tripoxergrpordOqrov, o116rrg orroie5
66o end(r1oovprilpr Kqrrrlv enoXq pog. H npr6rr1,11rlipor<o
nou rrp6'rcrvro Fahrenheiot to 1714, efuaror6po oe 1p(oq
orrg Hl-lA.
Irq 1741,o Iour166goorpovdpogAndersCelsius(Avrepg
Kiloroug, 1701-1744)tQe rrlv r6dov,: urlo6rqrpdoerro Oep;ro-
rpoorcr6 6rdorqprocvdpreooorq [6o o'ro0epdoqprieo rou
Renaldinio, qperc6vovrqsorrlv rr1{r;rou rdyou rov oprO;rd
100 rsr orov ppaopd rou veporl ro,r opr0;160. Evvrdlpdvro
cpy6repo 11npdroorl 0o ovoo'rpCI$'feyrs vo e6pcr<o0eq(rrd
r6re 11loyrr( (ear6-peydAotaptoltoi',rcp1o-lttxpoai pfipoi rccl
vo cprdooupsorrs orlpeprvdgergpdcrerg<ro 0ep;.r6pre'riprroe-
oe>11<ro V6XoSeivsrrdrco qn6 ro prq6fv>.
And rqv enopl rrou urroorqprlrrlxe crr6 rq fotrtrrrq E0vo-
ouvdleuorlro 6er<q6rrdoriorqpo oov rcrsllrll6repo yro rrs
prerpqoergrl, €Korovropd0prortrfproroKeloiou dpXroevo €fit-
rpore i.
I
,1
e
H ENEPTAEA ATI]PEITKAAIYNOBAOMZETA
HI r K\ Ar ipoKolKt e\ Ao' lou
fro vo opiooupepeorp(peroro or1;ref0a rqr 100tr15Keloro-
rr(r€lgrxlsl(Kpdorrrcogo,'qrr;preiriropevptoonodppoo6eunpreluprerd'6(qorvrr1pqoqt grr66r'trqrov o1;reio
e{,urre-
p'}errprllt'nofxepoaqo.Afairpre1€, tqrocrorror6nv6dryto<uuoqe1enpieyoorxl ppalcol{iaa0r,yoSpoiq(edrtpadtrc7
rqt svrforolxCIro or1peio100opi(*'d' rlrCq )epyorcpdoic'
orqv onoio ppa(etro vep5,oe nircr1 prc'qary6ogorpog' Ko-
Oeprrod116rrq 100povd6€So,rls orroiegrrrro6ratpeirqrol l-l€-
ro[6 roug 6rdorqpcxo,tro'relefrr10epporpoorarqpovd6o
nou triyerotivog iiaep6qKeAoioruor ouprpoli(*anpre1"C'
ztz r - 373 K
21f K
--!t) w- OK
H o n o t r u rrqt r i p o r oK e h ' i n r
To 19o otrilvo, 6rsv nlo or orrd'r1'reYrglo rl'l Oepporpooioeilov v
orotrou0qoernv e€ihtn rr190eppo6uvo;rrrq5o, l6p6o5 Kelvin
(1824-1904)npdr€rv€ rrl ley6pevq an6)lorn rcAipaxa1epyo' ,!
xpaottbv,11orroicxipprore 0ecopqrrrc6rlrrtxi<oorc1n6 rq 0eppo-
6uvcxprr<4E.ivcrrpra rliporo hy6re po ouOaiperrl o116rrg e
npoqyo6pevegyrori 6evpoof(eror ot ou0ofpero enrtrtypfvqr-
6r6rqto o6re oe dva oproprdv0oeppo;rerp11o6c6pa,otrld oe i-
rlENI;PAlEIAlATHPKEALIYTAtIOI BAt OM
ry