Dimostrazioni

Ech diteI20 lEsumoms mtortohtolnsullstrimbespo (R R2 R R ) oqu EokRoA,1aimdi datkoe1EzhTEOREMa hak:E-EumantamimlqumdR-Es dlR:1)28|dBulns) dit|E)z1. Temndourtodellirans tudristodiomchDiM OadtP-1 - -d-R) ) -R) ) -2)d|R-1)=d2(R-Daltroprt sFiLLlF) --4)dLF) -- - - dil(1B)-0, codA1Xmadbcdlinmi constlimixte dit(X1-R)20TAZIONE 1Camlird bor tam:ti tu ntarm:atrma z"d unduimdi a X"y"z" ottzn a1orrIdaXyZ jzEo1ajz(Rol) apF(folni (Rultah=Ruiel)=(Ryikk:ek hRRulb)RyljL(Ro)(Roh-(Pu hh WU-MemuG - amy0Fuou oineAimiCos y mlWrs lm olnVnimy-AmVirOly VAmv AmOWny WV simiW0Atm U- CUGp0GysUAmUAmV+ WsVnmd+AimUGxV GY(OMemV Mmd Wtv lnoAim 8Aim l 4CAPITOL0 (momemt2ait411Siomr (P,uo) E s nE Y. blloia ileomorttoealePR0P PxVM:F-4P)= +nx(Pfl eumanitiDIM.6en enem uma rit IM(P) M(R)+ x(P-R)Ml)= l R)+rx(A-R)ulP)-Mla) rx(PR)- xR-R)-rx((PR)-(Q-R):Zx(P-Q)nmdrlssato 1MIR)FoPROP41.2Dueantuenr:M|P)=MIP) PEPhammTA o laM Yotno nsiaanrultomtidhu sd dr, allorach S(n-S)x(P-G) =0YPAEP, AG n-S70 MoR=SDIMComrdleno

dsnrit: a dlmsultamt nM+ )(P)- ( +n)(A)= A(P)-M( ) +A(P)-A(G)Gx(P-A) +Sx(P-A)=( +S)x(P-Au(P) -dlM:/Q)=d x(P-Aimd il todetoRoP LaLMariorttouol dtuttlirntP-el dimz4.1.4DIm a )nr42.1Siamsu du ntt'armtolim amchoPROP Jirches i sealanmtti. Allora comy0C ,ar (PPFo u(P). +N(P).R CSAtmt aAdRund durit: Msr 1dusumt P,AePomabrDM Arw lP)-M(Q)= x(P-Gr(A)= Sx(P-0)Nr(P)-(P).S+N(P) x(P-G)S+lnrl)+Sx(P-Q)ulo)+Ula1.S+ 1) +IRx(a-P)J. S+S (P-A)J : VMa QQ o43.1 Sia u umariti nirultomtnt0.Alaillu09comTHM arssdeAucPdeumtPtal ach. My|P)z0Lumanttawt), sut: tetodinhimauahosiduLssatsumtstu srsamllaOeP sud Lowmexl(o)com Analoc NelanR*aloa x 10)=oM( ) ( -0 0)(0) a MiduertoisSoiomside.mLmquahAyzn)u(B IR)*B A - 0P-fo+z am Zxnzl 0M(P R L(P|=tarrediuns diurddalia sattad 0mntimon5s RSalnuattrspmt-0'X19ngoM nxuooP Re0aazlaoluo001+1ia x( x(0'0M)=10-0)-(0'-0)1=(0-0luimd: P'-Rho la rtersa dieroe dlRR0P442 Wcomhn d1lAmoM=M+Rx(0-0DM Oot M=Z(P-0) xF=Z(P-) Z(P-0)+(0-0xF,Z(R-o +(0-xZHotRxloLoSia455 |(R,

umPROP sntmaYa)| drttoripmlbl.AllsoiVzZVimndunddfanaltawmtR2otZd, dala Z:yLcnsttusta rlormsDIN Ozh=pundo F-K*suymrs'ch Y;P-AzImdhroddadelemlorimZ;A-P o GzRRerciSrona => =0l'umez c roddrtstahnulorims 0. Allora stnattr dehrntamarmsl lorsritoMy0-Z(-a)x( ;a) Zy( - a:0mttL, dathEY;(PR20alsotdi allnaimodottA 5CAPITOL0 (Cmmateadef F anajatais tesu zgti), dfrudlagundnaurttaaaltu pnlelt lungoief ta inLattah dll'sphiommtrrw(Xettaruttrslmprsx( o (x ),dt tamsAatsImtrdu dLntssantmatEF541 w:1Pt!rowlptlump tV N+TRASPORYoTEOREHA DEL uns gwondimascaloteSia L:(Pt|-r1Pt Lomalosl. EtspussainEF5.5.1 L'aVD deatis nddomivommraxasrt tmo: dVet)eoeEMa duta5E1 zlslalnruttsaltmp 1,dumsdilralouta dadltannto)li dota d >trdtoda inmtimeLVel:(Nm)drttumanankezLadams delmdtNmdttidentahtleisrimle pondmtdtmaat l Almeldd temttlo martesk mloetadrniorme di LlocaliomdDVoMoato kaad klatDtnNt w Vurtakumattout dladonmra uri tdar(ar= 2(Ka) NT.r darnd2t t teSiDEF mlenigidsunadils

Xg:lta,t,FoPdomgbad'mk5.61 -X XnydesraltrumOottum mtAdafammte Lnlpoprh1 mtsalt):V-oV delnite 1amed)gom X)-A1 a)anonhmah Viett, aehiPima tattosemnoms Ralt)eomsema lemoema duiaxttri eunLiDIM ) )-midmamdrdumLsldal:BIt)=Ait)*Eult)h), CIt):A)+RtkEomh,KEV.ytantnduntolliindimm pzdtK Nallaimmak:Bedthmdon dngidito --tdttoselenDoto tmenamsdubrid Et1EtamdundtlorllentoznahLe turdomereop rt2 dmtW giypad1tsiimshn B,nePallabXI)- )-At )K)-RI XIg -A-LxI ) k-h=RXI7, ) XIB )+E(t|K-h).endns pmtalmt tnz(lg ||k-h) Ralt)(k-h) Eult)Eplt) RIt)-XIpt)=Rtpdaknbatstiu ptuhsnsisdmlitA5l1 mtrydrnBt)-Alt)=AlI(BIt-Alt LnLndmakomdAIt sreantrmmtuaArullaRit)oklt) nd )) ) )(B- )a1 RoO:er+roe A+r 31 235.d1tF Aotrummongid lrttru wlt)- 43 RsD24tndmromsAt:ElEti dntorm dlmtdittmlectamn di - x --PROP 5.8.1 Sia u: T-pU zidodmlsetaanzlorwAZLX Asomtiarroldohallram LummmttouSeDn x(=(W a) wxaDEF da dnmsta d umDIM ollimomsun @delnigdsqualnioriquotsums outtoriabpiandona mha tio,1m.l 1sdi Ve-aTdv:Gi5.10.1 SPRoPat G+P29

[9P.mG+99G-miFldnr)CdVtt +VGnSs5s bN. FNi lrmsgnomdme dumrtadauomttadimtsdtlalaEsedP1o Vin l tmdltonotsla -dVpa dv Tnn:a(Pt+VN.n dtotDt5.5Sa G-(P.0)xarIBt),ESeMP10 laOuntrkrrdtsdats quonttodmrtedmmemtrdllal qundmrpteLpde0ilemde smmutogteut) H9IPt)Poxa(Pt(P-ath L(P0)x (P- )x2+(P-0)x(Vna) +p n): dLolt)-)alloasnnms: PBt3lP-xa1etdVB xalB )(Pdulb(qeomitnia massa6CAP|TOL0dums:ta611 la dimorsao, eristiumumicrzuntGPR0P OotaImaltudssat0ePMhe G: 0+ Zim;(R-0=Z:(P-6+6-0)am0)DIMm o1-Z;m:(P-6):6loSora s hPRoP 6.1.2 S CzC'Uc"cem C'nc' Z m"(P-01 om(P.-0) +=06 P'-o+Zm"(p-ol)-olm"(6"-ol= (m'(Dim =(P.-0)) G-0DITHM HUYGENS-STEINERIR-o)A -[(P-0) Ml(P-D))f- Zim:LIR-G) -((R-6) )(R-6 tm l G-0)M l oL +mLlG-M-(16-0). )6-0) 2(G-0)Z:(P-6)m(6-0)(P-0) +=(R-6)m(R- mI()+21R--)=ZZim:1P-G)M+m(G-0)A[B-) -BpZimal(P-O)ul(P-0)= Zim 0)++[(G-0)-6) 1(G-0)+LZ,m,I(P-6)ul(P-6)+ml(6-0u(6-0.Lla)-Lu)ml(G-(-ul6utmdt.41da 2°cardimab comtma a ralerPPoP deiendvudelpuanehllt,

tamjExt L Px10'-0+ ExiExt Ext (0-0Ext EuStn d:L-M (p- * x (0'-0)FExt51 Sa mdrumttormsoldalicomiln0:T-bPumROp I m(-xIM LZa(X-0') m +'=ZZ x Wx(X1-'') +Z ma(X -0')(X - O')m mt6-0') xdL W( )+m(6-0') xL eQ di eulepoPRop t5.3 Sie tto0'tummdtruumtlomapolidolcmiln=m(6-0)x0'+Iw)+ xIlwnnrtetonsmingdolawm tins 0tsO= '6olloios: la I(+ x()mDMLZ (X-oZm - x (X-Paxarbralbraxlbra(X- )x x(X-W Wx lomdm(6-0')xd' + x (w)+ ( )= MTEOREMA DI KONIGh-haS77.3 CoStANTEPRoPDIM