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TRANSCRIPT
leouerpux
TEOMETP14F
flpaea, oc, rbq, nonypaBHrHa, orceqKa
AL. Bcsra npaBa r.rrr,ra 6es6pofi MHoro rorrKr4.A2. Ilpea ABe pa3rr4trHr ror{Kr,r Mr{HaBa caMo eAHa rrpaBa.O. Oc ce Haprrqa npaBa c as6paua [oJro)KzreJ,rHa [ocoKa Bbpxy He.fl.O. Jh.r: Axo nrpxy npaBa r.rs6epeu roqKa O, ra pas4err" ipuuuru ,ru
Bc-sKa oT Kor{To ce Haprrqa.nr.{ c uaqano O.ABe qacTll,
o. froaypaB'u'a: Axo e paBHr4Ha ce Haqeprae npaBa p, Tr pa3"4eJr-fl paBHrrHara HaABe noJrypaBEuEtl C KOHTyp [paBaTap.
O. Or:ce.rxa ce Hapnqa qacr or npaBa, orpaHrrrreua c ABe rorrKa.o' fll.rrxtrnHa Ha orcerrKa ce Haprrqa noJro>KrrreJr'oro r{rrcro, noJryqeHo npu rr3Mep-
BaHero ir c lla6paua Mepna eALIHLIqa 3a AbJrlKrrHa. OsuaqaeaNae A,bJ'DKrrHara Ha orceqKaraAB c lABl unw cawo AB.
o' Pascrog'r4e Mex<Ay ABe rorrKr4 A u B ce Hapnqa AbJr>Kr{Hara Ha oTcerrKaraAB.
O' Pasuz orceqKrr: f,ne orcevrrz ce Hapurrar paB'r{, aKo ca paB'r{ AibJrx(r{Hr{Te r'M,r{3MepeHz c eAHa r,r cbtqa MepHa eArrHr{rla.
A3. AxczoMa 3a eAHo3Hai{Ho HaHac.fiHe Ha orcerrKa Bbpxy Jrr,,r{:Axo 4ne paB'rr oTcer{Krr ce HaHacflT Ba,pxy Jr.r,r{, Kpar{qara HM cbBna.rraT.o' Kasea ce' qe orcer{ xara AB e no-MaJrKa or orcer{Kar a C D, Koraro ArbJTx<rrHara Ha
.4.B e no-rr,rarrKa oT Abrrx{rrHara Ha orcer{Kar a C D (AB < C D).o. cpe4a ''a orcerrKa: Axo ro.rxara B e Me>KAy rorrKr{re Au c w AB : BC,
TorrKaTa B ce Haplrva cpeAa Ha orce.rxara r4C.
brun. BHAoee brnno. brs-rr: leouerpuvua $rarypa, Ko.fiTo ce cbcror{ or ABa rbr{a c o6rqo navaro, ce
Hapuqa br.br.O. ?IaupaneH T,rr'Jr: Trrr',.n, qulrro paMeHe ca [porrrBonoJro)KHrr [br{r4, ce Hapxqa
'r3fipaBeH .br.bJr.
o. cr'ce4uv(br'rw, lea r"rr.na, Kolrro ,nMaT o6,,10 parr.to, a Apyfr{Te HM paMe'e canpoTrzBo[oJro>r(Hrr Jl.brrr4, ce Hapu:raT cbceAHrr brurr{.
o. frpan brbJr: brr.n, paBeH Ha cBos c'bceAeH, ce Hapuqa rrpaB .bribJr.
O' IlpotrnorroJro)r(Hrr (nprxnu) !'rJrr{: flna rrtna, paMeHere Ha Kor{To ca npo-Tr{BOIOJrO)KHL4 il1,-sLl I Ce HapurraT npoTrrBorroJrox<uu (npt xuu) s rau.
T. Mapxara Ha n3[paBeHus ],rbJr e 1g0o.O. ibr.l"rr c MspKa 90", ce Hapnqa rrpaB ,r,rbJr.
O. brtn, xoftro e no-MaJrarK or 90o, ce Hapr{rra ocrbp brbJr.O. brr'1, xoftto e ro-ToJIJIM or g0o I{ no-Ma,rrbK or: 180o, ce Hapnqa rbrr .bra,J'I.
O. flna.bra,Jra ce Hapr{qar paBHrr, aKo r4Mar paBHrr MepKrr.A4. Ar<cuoMa 3a eAno3HarrHo HaHac.fiHe Ha brJrr,r:Axo 4na paB'rr iblbJla c o6u1o paMo ce HaHac-flT B eAHa noJrypaBHr.r'a c KoHTyp roBa
o6uqo pauo, BToplrre r4M paMeHe c6Bna,qar.
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(Dopuylu, onpeAeJrenr,rJ{, aKc}roMrr, TeopeMlr u csoft ctna
O. br.rrouoJroBgrqa Ha AaAeH 'bFr,Jr ce Hapnqa JI'br{a'T c Har{aJIo B'L'pxa Ha 'bra,Jra,
rofiro pa.:4eJrfl To3r4 bta,Jl Ha ABa paBHI,I 'bribJra.
T. C6opor Ha ABa cbceAHI4 brbrla e 180".T. Cocegeu'L,r'b,rl Ha npaB a,r'bJl e c'L'qo npaB brbJl.T. Aro 4na cbceAnrlbrbJra ca paBHI,I, ao BceKI4 eArrH or r.Ex e [paB.T. Bcexr,r ABa nporrrBonoJro>KHrlbrbJla ca paBHI{,
T. .{na brbJla c B3ariMuoycuopeAul{ paMeHe or eAIrH I,I c'blr{ BI,IA ca paBHLI.
T. [oa'L,r'bJra c B3arrMHonep[eHALrKyJI.fipHv paMeHe or eAuH Ir c't'rq BI,IA ca paBHI{.
Bgaunltno nonoxeHne Ha npaBlt B paBHuHara
O. flpecexareJrHrr rrpaBr.r: .{ne npanu, KoI{To I{Mar e4ua o6qa roqKa, ce Hapr{qarrpeceKareJrHr.r (npeclrvaulu ce) upanu.
O. Vcrrope4,Hr{ rrpaBrr: !,ae upaolr, Kolrro HsMar o6u1a rovxa, ce Hapuqar ycnopeA-Hrr [paBr{.
O. flepuerrArrKyJrspHlr rrp€rBrr: !,ne npanu ce Hapl4r{ar nep[enArrKyJr.flpHrr, aKo nprrnpeca:raHero cu o6pa:yaar rrpaB brbJr.
T. flpe3 rovxa, Ko.sro Jrex(r4 Ha AaAeHa [paBa, MIrHaBa caMo eAHa npaBa, nepneu-
ArrKyJri{pHa Ha AaAeHaTa npaBa.
O. Pasctogrrr{e or rorrKa Ao rrpaBa: Paecrosuue or rot{Ka A,4o upana o ce Haprdrra
A'L,Jrx(rrHara Ha orcer{Kara c KpanilIa roqKara A u nerara Ha nepfieHAl,rKyJlfipa, cilycHaror ror{Kara I rrlt npaBara o.
A5. Axcr.roMa 3a yc[opeAnnre IrpaBrr:
llpea rovxa) HeJre)Karrla Ha AaAeHa upaBa, MrrHaBa He noBe're or eAHa flpaBa, yc[o-peAHa Ha AaAeHaTa.
Teopelrn cJreAcrBrrs:1. Axo ABe npaBr{ [oorAeJrHo ca ycnopeAHlr Ha rpera, To re ca ycnopeAHlr.
2. Aro npaBa npecuqa eAnara or ABe ycnopeAnl4 npaBl{, Ts flpecuqa I{ Apyrara.T. flpr,raaax 3a ycflopeAHocr rra ABe rrpaBr{: Axo npz flpecurlaHero Ha ABe
npaBr. c rpera npaBa e4na 4noiira KpbcrHlr br.rllr ca paBHI,I, To npaBrre ca ycuopeAnlr.Teopeur.r flprronarlrr :
1. Aro flpu [pecrlrraHero Ha ABe npaBrr c rpera e4ua 4nofira cborBerHlrt a,rJrr{ capaBHr4, TO ABeTe [paBI4 ca ycnopeAHl.I.
2. Axo npn npecrrqaHero Ha ABe npaBrr c rpera c6optr ua 4ooftxa npr{Jre)r<aulrlburl4e 180o, To ABere npaBn ca ycnopeAul.
3. Axo ABe [paBrr noorAeJruo ca nepneHAIrKyJ'IspHIl Ha rpera, To re ca ycuopegHll
rroMe>t<Ay cr{.
T. Cnoficrno Ha ycnopeAHlrre rrpaBr.r: Aro ABe npaBlr ca yc[opeAnlr Ir ca [pe-ce.rel{r4 c TpeTa [paBa, To:
- BcrKa 4eoftxa Kpa,crHr{ bn'II{ ca paBHIl;
- BcrKa 4ooftra cborBernr{ 'bn'Irr ca paBntl;
- c6optr Ha BcflKa gnofixa nprrne)Karqrr r,urr{ e paBeH na 180o.
Teopelru cJreAcrBratt:1. Axo upaBa e nepnenArrKyJrJ{pHa Ha eAnara or ABe ycnopeAHlr npaBu, Tfl e nepneu-
Ar4KyJrspHa r{ Ha Apylara rrpaBa.
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leorrrerpra
2. flpes ro.rKa, HeJre>KailIa Ha AaAeHa rrpaBa, Mr4HaBa roqHo eAHa IrpaBa, [ep[eHArI-KyJrspHa Ha AaAeHara.
O. Pascroqufie Mex(Ay ycuopeAH[ rrpaBr{ ce Hapl{qa pa3crosnlrero or Kos Aa e
TOrrKa oT eAHaTa npaBa Ao ApyraTa rlpaBa.T. Axo ABe rrpaBrr ca ycnopeAnrrr, To rorrKr4Te or eAHara or r.flx ce HaMlrpar Ha paBIrI4
pascToflHr{fl Ao Apyrara rrpaBa.
TpnurunnuK - onpe4eneHue, BltAoBe, Bhcotll4Ha, MeAuaHa,brfionofloBf,l.qa
O. TpurlurnrrK: leouer.puvua $urypa, o[peAeJreHa or rpl{ Tor{KLI, KoI{To He Jrex(ar
Ha eAHa rrpaBa, I{ cbeAl4H.flBarql4Te fu oTcer{Klr, ce Hapl{qa TpI{brbJIHlrK.
To.xure ce Hapr,rqar BbpxoBe Ha rpr,rt,r'bJrHrrKa, a orceqKl4Te, KoIiITo rrt ca'eAlaHrrBar
- HeroBr,r cTpaHv.
Bn4oae rpubrbnHuqll
a) Cuope.4 crpaHrrre:- pasHocrpaHeH, Kofaro TpI4Te My crpaHl4 ca ABe no ABe pa3JII4lIHtr;
- paeno6e4peH, Koraro ItMa ABe paBHu crpaul{;
- paBHocTpaHeH, KolaTo TpI{Te My cTpaHI4 ca paBHI{.
6) Cuope4 brurrrre:- OCTpO'bl'IlJIeHt KOTaTO TpI{Te My bl'bJla Ca OCTpII;
- npaBO'bflLJIeHr KOIaTO eAnH OT 'brJII{Te e npaB;
- TbnOAtra,JIeH, KOfaTO €AHH OT t lJMe e T'bn'
O. Meg,raaua rra rprlblbJrurrK: Otcevxara, KoflTo cbeAI{Hr{Ba Bpbx Ha rprrbrLJIHItK
cbc cpeAaTa Ha cpelllyJle)KalllaTa My cTpaHa, ce Hapl{qa MeAI{aHa IIpe3 To3II Bptx.Bcerv rpr*,tt,JrHr{K r{Ma rpr4 Me4r.talu,3a Korrro Mox(e Aa ce fipoBeprr (uanpurr,rep vpes
ToqHo vepraue), rre Mr.{HaBar rrpe3 eAHa rorrKa, Haperrena MeAr{Irerrrbp.O. l>r.nouoJroBqrrla Ha rprrbrr,Jrur{r(. Orceuxa, cuycnara or Bp'bx Ha rpI{'brbJIHI4K
AO CpeulyJrex(aqaTa l"Iy cTpaHa, KotTo pa3[oJIoBrIBa'bPbJra Ilplr To3Ir Bp'bx.
Bcexu rpr4ir,r.bJrur{K uMa rpr,t a,ffronoJroBflrrlrr) 3a KoI{To Mox(e Aa ce AoKax<e (uponepu),rre Mr4HaBaT npe3 eAHa Tor{Ka.
O. Braco.uaga B Tpr{tt'rbJrgrcK: Orcevxa, c[ycgara or Bp'bx Ha rpI,IbrL'JrHI{K K'bM
lpaBaTa, onpeAeJleHa oT cpeulyJlex<alq,aTa My cTpaHa, u ilep[eHAHKyJIflpHa Ha Ta3fi cTpa-
Ha.
Kpaxr Ha Br{coqrruara, Kosro Jrexr4 Ha crpaHara (lr"nu uefiuoto flpoA'bJlx(eHrre, aKo
Tpr{byr,JrHr.rKbT e T'bl1o'bru.neu), ce Hapuqa ueTa Ha Bl'tcoqlrHara.
Bcexn rprrF,rib,'rHtrK nMa rpr.r Br4corruHrr. flpawrte, B'bpxy KoI,ITo JIe)Kar Blrcoqlnrrre(lro>xe Aa ce [poBepv), lrltranar Irpe3 eAHa ror{Ka' Hapeqena oprorreHTbp.
brnu B TpubrrrrHrK
T. C6oprr or brJII{Te Ha BceKI{ TpIlbrbJIHI4K e 180o"
Teopelru cJreAcrBrrff:1. C6oprt or ocrpl{Te brJIIr B IIpaBoblL,JieII TpIlbrbJIHI4K e paBen na 90".
L7
@opuylu, onpeAenenu.a, axcuoMr4, TeopeMH u csortcrsa
2. Bsa BceKr{ Tpr,rbrbJr'rrK naft-unoro .AHH brbJr e Tb,, r4Jru [paB.o. Bruruen brbJr rra rpr4brbJrnrrK ce Hapr,rqa cbceAHu.fiT ,r,rbJl Ha xoft 4a e Bbr_perrreH HeroB bI"bJI.T. Bcer<r.r Bb'rrreH bra,Jr Ha rpr{brbJr'r,rKa e paBe' Ha c6opa Ha ABara B,brperuH',
HecbceAHr4 Ha Hero brJrr{.T' Bcexu Bt HITI.H brbJl Ha rpI{b.bJIHHKa e ro-roJrrM or BceKr' Ba,TperueH, HecbceAe'
Ha Hero brbJr oT cbulHr TpHbrbJIHr{K.
Egnaxau rpl{brrrnHuqll
o' E4uax''{ TptrbrbJr'trqu: floa rpur*JrHuKa, KoHTo r{Mar cboTBer'o paBHrzCTpaHI,I I4 C6OTB€THO paBHr.I burr4, Ce HapI{rIaT eAHaKBrr.
A6. 3a eAno3HatrHo HanacsHe Ha Tpr.Ibrr,JrHr.rK B noJrypaBHHHa:Axo A1B1 e orceqKa' paBHa Ha crpaHa AB ua tp"r"Lrrr"* a ABC, u ile>Ku Ha KoH-Typa Ha [oJIypaBHxHa ), rO s ,\ raMa Tor{HO eAEa TOqKa C1 TaKa,Bar rre Tpr{bPbJrHlrqrrTeAtBtCt u ABC ca eAHaKBrr.
T' (Btopu npnsHax). Axo ctpaua I4 ABa'r,rr,Jra or eArirH Tpr,rbrbJr'r.K ca cborBeTHopaBHu Ha crpaHa I{ ABa'brbJla or Apyr rpubrbJrHlrK, To ABara rpIdr,r,r,JIHI{Ka ca eAHaKBu.T' (Tperrz upuaHax). Aro tprate crpaHr4 Ha eAriH Tprr.brlbJr'nK ca c,borBerlro paBHr.rHa rp'Te crpaHl{ or Apyr rpI'Ib.LrJIHr{K, To ABara rpnbrbJr'rrKa ca eAHaKBr'.T' (Yetnsprra npr'rsuax). .{na npano'bJrHr,r rprabrlbJrHt4Ka ca eAHaKBr4, aKo KareTI4 xl4[oTeHy3a oT eAI{HI{g rpI{bILJIHI{K ca cborBerHo paBHr{ Ha KaTeT 14 xl{noTeHy3a oTApyrIIfl TpLIbrbJIHr{K.
T' CnoficrBo ''a eA'€tr(Brrre rpr{brbJr'rrqr.r: Axo ABa rpr4br.bJr'r{Ka ca eAHaKBi,
TO:
- Ct'OTB€THI,IT€ IIM BIICOq:/]f.r CA paBHLI;
- cboTBeTHr,rTe I4M MeAr,raHr{ ca paBHL;- ctoTBeTHIZTe rrM brJronoJroB.flx{rr ca paBHlI.
Paexo6egpeH Tpr,tbrbrHuK
O. Tpr.rlrtaHaK, Ha rcoftro ABe orPasuzre crpaHrr ce Hap[rrar 6e4pa, apeHus Tpr{brbJrHt4K
Teopervru cnoficrna:
T. (flspnn npusHax). Axo 4ne crpaHr4Ca CbOTB€THO paBHI{ Ha ARe CTpaHrit H brbJrTpt4,brbJIHHKa Ca eAHaKBH.
Jrex(aT paBHV CTpaHlr.T. B panuo6egpeH Tpr4brbJrHr4K
Bbpxa KbM OCHOBaTa My CbBIIa,rIaT rit
Teopeur uprt3rrerlu:
n r,PbJr Mex<Ay T_sx oT eAr{H TprrbrbJrHr{KMex<Ay Trx oT Apyr Tpr,rbrbJrHr4K, TO ABaTa
crpaHr{Te ca paBHrr, ce Hapr.rqa ;panxo6e4perr.TperaTa crpaHa ce Hapraqa ocHoBa Ha panno6e4_
cpeuy paBHrr bryrrr
1. B panuo6eApeH TpHbrbJrHrrK trJrrrre rrpri ocHoBara ca paBur4.2. B rpr,rtrr,JrHr4K cpeqy paBur4 crpaur4 Jrex(ar paBHrr t,rrr' rr
MeAlraHaTa, bDro[oJroBrrr{aTa u Br{ootrr4HaTa npe3Jrex(aT Ha CHMeTpad'raTa Ha OCHOBaTa,
1' Aro B eArrH Tpr{brbJrHHK ABa or b",rr.Te ca paB'rlr, ro roft e panuo6e,4peu.2. Egun rpr.r'r,rbJrHr4K e paaHo6egpeH aKo:
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a) lte4uauata I{ Blrcorruuara [pe3 eAI{H or BbpxoBere cbBfiallar;
6) rr.regr.rauara I4 'L,UIOIIOJIoBSII\aTa npe3 eAI4H oT B'LpxoBeTe cbBnaAaT;
a) sr.nonoaoBtrulara H Brrcotrl{Hara npe3 eAI'IH or B'bpxoBere c'bB[aAar'
PaexocrPaHer{ TPl{brbr H ti K
O. Tpllslu;rHlrK, Ha xoftto rpnre crpaHla ca paBHI4' ce Haplrqa paBHocrpaHeu'
Teopevrra cnofictna:1. B paouocrpaHnlls rpI{'brbJrHIrK TpI{Te 'brbJla ca paBHIr na 60o'
2. B paanocTpaHHr{fl Tpr4,byr,JrHr{K BCI,IT{KI{ BI'ICOqI{HII, MeAIraHlI I{ 'LUIOIOJIOBflIIII{ ca
paBHI{.
Teopelrra rrprlt3rrarlu :
1. Axo eAHH TpIrbrbJIHnK e panuo6e4peH 14 nMa orsa 60o' to tofi e paBHocrpaueH'
2. Axo B TpnibflLJIHItK Tpnre a,ra'Jla ca paBHI'I, rofi e paruocrpaHeH'
ll paeouruneH Tpl,lbrbr H l'l K
o. Tputrr,aHr.rx, rofiro r{Ma upaB br.bJl? ce HapI{rIa llpaBobl.bJlerr' crpauraTet Ko-
IITocKJIIoqBaTfipaBufl.bfalJl'ceHaplrqaTKaTeTI{'acTpaHaTacpeuryupaBHfl,br'bJl-xltl]oTeHy3a
Teopelru cnoftcrna:1. .brnare npr4 ocgoBaTa Ha panuo6eApeH rrpaBo'LlbJleH TpIll,r'bJIHltK Ca paBHIl na 450'
2. Ar<o B npaBo,L,r,bJreg TpHiblbJrHr{K eA[H OT OCTpIITe',bIJIII e 30o, ro KaTeT'L'T Cpeqy
To3I{ brbJl e paBeH Ha TIoJIOBI',IHaTa oT xl4noTeHy3aTa'
3. Axo B npaBobt.bJreH TplI'blbJIHr4K eAI{HI{gT KaTeT e paBeH Ha noJIOBI{HaTa oT xLI[o-
TeHy3aTa, TO OCTpI4aT'Lr,bJI CpeUIy rOgu xatet e 30o'
4. Bun BCeKrr rrpaBo,bybJreH Tpn'L,ra,JIHI{K MeAI{aHaTa K'bM XIIIIOTSHy3aTa e paBHa Ha
uoJroBlrHara oT xlrrloreHy3ara.Teopelrra rrprl3Haqr4:Axo n tpratr,'JIHI4K MeArraHara KT'M eAHa or crparlnre My e paBHa Ha [oJIoBI{Hara or
Ta3r{ cTpaHa, To ,br.bJIL}T Cpe[Ly Ta3Lr cTpaHa "
npuu 1t.". TpITbILJIHI'IKbT e npaBobrslea)'
GumerPana Ha orceqKa
o. cuvretpaJra Ha oTceqKa: flpaaa, KosTo e nep[eHAI,IKyJIflpHa Ha AaAeHaTa oT-
CerrKa I4I MI4HaBa npes Cpe4ata il'Teopevra cnoficrno:Bcsxa rorrKa or cl{MerpaJlara Ha AaAeHa orce'rKa e Ha paBHI4 paScTOsHI4t oT Kpalt-
qaTa Ha oTcerrKaTa'Teopelra rrpr43naK:Bcsxa TOr{Ka, KOgTO ce HaMr,rpa Ha paBHIt pa3cToflHn.fl OT Kpal{ulaTa Ha AaAeHa OTCeq-
Ka, JIe)Krr Ha cIrMeTpaJIaTa Ha Ta3!t oTcerrKa'
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@opuvllr, on Ir.fi, aKcI{oMH, TeopeMI,I rz cgofictna
brnononoBf,qa Ha brbnTeopelra cnoficrno:Bc-axa roqKa or bD'IonoJ'IoBslrrara Ha AaAeH 'r,rbJr e Ha paBHr{ pa3crorHrz.fi or paMeHere
Ha TO3I' ibftJI.Teopeiua rrppt3uar(:Bc-axa rorrKa or Bt rpel[Hocrra Ha AaAeH brbJr, Ko.flTo e Ha paBgrr pa3crofiHr4.fl or
paMeHeTe My, Jre)KII Ha'brJ'ronoJroBfltqaTa Ha To3rI .L,ta,JL
HepaeencrBa B Tpl,rbrbnHnKa
T. B rpuo.r.nur,K cpeu{y no-roJlrMa crpa'a Jrex<,, [o-roJrJ{M bra,Jr.T. B rputrsnur4K cpeqy flo-roJTffM rbtr,Jr r,rex(u no-roJrsMa crpaua.T. B npanoortJlHfis rprlblbJIHI,IK xrznoTeHy3ara e rro-roJrffMa or BceKr4 Karer.T. IepneH4lrxylsp'br or roqKa K'bM rrpaBa e rro-MaJr.bK or BcrKa HaKJroHeHa or
cblqaTa ToqKa KbM npaBaTa.T. B rplrorulH'{Ka Bc.sKa crpaHa e no-MaJrKa or c6opa Ha Apyrrrre ABe crpaH'.T. Axo BcflKa or rprr Aa.r{eHr,r orceqKrr a,brc e [o-Mar'rKa or ryrutu Ha Apyrrrre ABet
TO nMa TpI{'bt.IrJIHr.IK C.bC CTpaHrr, paBHI4 Ha Te3lI Tpr.r oTcerIK[.T. Bcsxa crpaHa B TpLIa'rarJIHI{Ka e no-roJ'rrMa or pa3JrrrKara Ha Apyrrrre ABe crpaHrr.
Oxpr'xnocr
O. Oxptx<rrocr: leouerpllrrua $Lrrypa, cbcro.arra ce or Bcr4r{Kr.r rorrKr1, Kor{To caHa AaAeHO pa3CTO.aHLIe OT AaAeHa TOqKa, Ce Hapr.rqa OKpT,)KHOCT.
O. fia4euara roqKa ce Hapuqa rIeHTbp.O. Pa:crogHrtero or I{eHT'L,pa Ao [por{3BoJrrra roqKa or oKp:b)KHocrra ce Hapr4qa
paAnyc.O. Orce.{rara, KoflTo cBr,p3Ba ABe pa3fir4rlHlr rotrKLI
xopAa.o. Xop4a, Mr4'aBax{a npe3 r{eHT'bpa Ha oKprbx(Hocrra, ce Hapfirra ArraMerbp.o. I{eurpaJrerr brbJr: brr.n, c Bpr,x rIeHT.},pa Ha oKp,r,>KHocrra r{ paMege npecr4r{a-
rrlu oKp'bx{HocTTa.T. Aro B ABe oKp'L)KHocrLI c paB*x pa1vyc,tABe xopArr ca patsHr4, To 14 ca,orBerHr{Te
IaM qeHTpaJIHI{ lbrJ'II4 ca paBHI4 u o6pa:ruo - Ha paBnr4 r{eHTpar'rHl.r .L,rJrr{ ca,oTBeTcrBarpaBHr{ xopAr4.
LlerrputrbrHr4K. Vcnopegnux
T. C6oprt or rtrJrrrre Ha r{eruprr.br.L,JrHr.rKa e 360o.O. Vcnope.qurax: getlrpllbrbJluliK, ua rofiro cpeqyJre)Karr{rrre crpaHrz ca ABe no ABe
ycnopeAHrz, ce Haprzqa ycnopeAHr.rKTeopervrra csoficrna:1. B ycnope4Hlrr<a 4nor?xure cpeqynoJro)KHr,r crpanrr ca paBHrr.2. B ycuope4HuKa cperqyno,rox<urire brrrrr ca paBHr{.3. B ycnope4unr<a c6oprr or [pr{Jre)Karrlr4Te ibr.]ru Ha BcflKa crpaHa e 1g0o.
20
oT oKpl,X(HOCTTa, Ce Hapr{qa
4. B ycuopegnr{Ka AuarouarruTe B3arrMHo ce pa3rroJroB.fiBaT,Teopeur.r rrp[r3naqu:1' YerupalrbJrHl4K' sa xofito 4eoftxnre cpeuly[oJro)KHlr crpaHrr ca paBrru, e ycflopeA-
HIIK.
2' qetuputribJrHlrK' na xofi:ro e4na 4nofira cpeqyloJro)KHrr crpaur{ ca ycuopeAHr,r rrpaBHLI, e yCnOpeAHIzK.
3. tletup*tlrl>JrnLrK) ua r<oftto AI{aroHaJ'rr{Te B3arrMHo ce pa3rroJroBflBar, e ycnopeAHrrK.
llpaeoururHt4K
O. flpanorrbJr'rrK: Vcnope4uilr c [paB .r,r.r,r e [paBoir,ra,JrHrzK.Teopelra csoficrso:B upaeotrtJrHrrKa ArraroHaJrr{Te ca paBHn.Teopeur,r nprr3rraqu:1. Vcnope4ur.rK c paBHr.l ArraronaJrrr e npaBol,rl JrHr.rK.2. HerlrplrorbJiHrrK c rpr,r upaBrr brbJra e [paBo.brbJrHrrK.
Pon,t6
O. Fou6. Ycnope4nux c paBnr.r c.bceAHH crpaHr4 ce Hapzva porr,r6.Teopenrr,r cnoficrsa:1. B pou6a Ar,raroHadrrrre ca B3arzMHo neprreHAlrKyr,rrpHrr.2. B porra6a ,qr{arouaJrnre ca 'brJroloJroBarrllr Ha brJTr{Te My.Teopeun [prdsHarlu:1. vcnope4ur.rK, Ha xofiro 4naroHarrr4Te ca B3arrMHo [epneHArrKyJrapuu, e polr6.2. 9err.rpur,ribJrHr{K, ua xoftro Bcr4rrKu crpanrr ca paBHr4, e por'r6.T. Jft'rqero Ha porr,r6 e paBHo Ha noJrynporr3BeAeHr4ero or ABara My AnaroHarra.
Kaagpar
O. 1. flpaeo'L,rbJrHrrK c paBnrz cbceAnr4 crpaHrr e KBaApar.O. 2. Porra6 c npaB br.r,Jr e KBaApar.Knagparrr [pr{Te)r(aBa Bcur{Klr csoitcrna Ha ycnopeAunxa, pou6a Iz upaBobra,JTHvKa.T. Jrzrlero Ha KBaApar e paBHo Ha rroJroBr{Hara or KBaApara Ha Ar.aroHaJra My.
llepnuerpu n nur.la Ha paBHnHHn +Hrypuflepuuert p (o6uxo.rrxa) ua rpuorr,JrHr4K r{ rrerrrpr4brbJrur{K
C
cBP:AB+BC+AC
P: a*b*c
A
AB+BC+CD+DAP: a*b*c*d
P-
2l
(Dopnaylu, orrpeAeJreur{.s, aKcr.oMr4, TeopeMr4 H cBoft crBa
s :|an":|un,:L"n"
Jluqe Ha rpr4brbJrurrK
+
Jlnqe Ha qerr4pr4brbJrur{K
Ac
ACB :90o, S : LoO:
!r"0.
BB
Saeco: Saso * SBco
P:na"_P.k2
k - anorelran - 6pon Ha crpaHrrre
P:2(a*b)S : aho: bhu
A
flpanureu Muorox'rr'JrHrrr(
flepr.rlrerrp rr Jrrrqe rra yc[opeAnr{r(
22
leonerprtr
flepuuemp rr Jrrrqe Ha rrpaBobrbJrnrrK
P :2(a + b)
S:ab
!b
A
C
b
B
flepulrerrp r'r Jrrrqe na povr6
P :4aS:ahr t:g#
P :4aS:e2r t:ry
flepulrerop r.r Jrrrqe Ha r(BA/{par
D
Jftnqe rra rparreq
s-
.{r'.rr:xlrrra lra or(pbx<rrocr r{ nrrqe tta r(pr,r
C :2rr: rd(d:2r)S:rr2
(a+b),2.n
23