Curso-Celular 2 - 1coluna

Zunãrì JRWZI MB NCFR]BFÄÊI B WB\CWI MB JBERECWBZ CREC <7 \itïfj`c - Dbrcmirbs Wbs`stirbs Wbs`stirbs - Bspbj`c`s Jcrdc beàtr`jc Jcpcj`tirbs

@fst`tuti Rf`vbrsce Grcsèb`ri Cmn`f`strcäêi Eu`z Hbrfcfmi M`f`z Fcsi Oisà Jcreis M`f`z Fcsi @fïs M`f`z Fcsi Dbrbftb Dbrce Nimbsti \cftceàc Abeì Oisà Cevbs M`rbäêi mb Crtb Mcf`be Oirdb mb Jcnpis Css`stbftb Ourîm`jc Mr.. Ocrgcs Cfmrcmb Ncjaìf` Mr \rimuäêi Mbffbr Jcncrdi Cevbs Wbv`sêi Wisbe` Cfcstãjì Zèvc Jecum`c mb C. Ncrcfaêi \rbsjitt Fcsi

M`rbtirc Dbrce @rbfb Wimr`dubs mb Ie`vb`rc ]b`xb`rc ]b`xb`rc W`gb`ri Jiirmbfcäêi M`mãt`jc Tcemin`ri Wbjja` Jr`sidifi Cftifì Ncrt`fs Hitidrcffic / @ncdbfs X`tir E`nc Nczif Cutir Tcemin`ri Wbjja` Jr`sidifi Cftifì Ncrt`fs Bm`tircäêi @fst`tuti Rf`vbrsce Grcsèb`ri Bmujcäêi mb Oivbfs b Cmutis E]MC. @nprbssêi @RGWC - @fmÿstr`c Drãffijc b Bm`tirc Etmc. Wimiv`c Bstcmuce Gi`tuvc - @pbrú, kn 3,3 Jcnpis mb Gi`tuvc - Gi`tuvc - Z\ JB\ 3122<-<<<

]imis ]i mis is m`rb`tis sêi rbsbrvcmis. Fêi à pbrn`t`mc c rbprimuäêi titce iu pcrj`ce mbstb jursi.

\itïfj`c - Dbrcmirbs \itïfj`c I wctt à c uf`mcmb mb pitïfj`c, css`n, qucfti ncìr à c wcttcdbn mb un cpcrbeai beàtr`ji, ncìr à suc pitïfj`c, iu sboc, nc`s trcgceai beb pimb rbce`zcr fc uf`mcmb mb tbnpi. \ir bxbnpei, unc eçnpcmc mb 3<< wctts èun`fc nu`ti nc`s qub iutrc mb =< wctts; un cqubjbmir mb 3<<< wctts primuz nc`s jceir qub iutri mb 3<< wctts; un cnpe`ffijcmir cnpe`ffijcmir mb 3< wctts primuz sin nu`ti nc`s hirtb qub iutri mb 3 wctt, b css`n pir m`cftb. \crc hcjè`tcr c`fmc nc`s c jinprbbfsêi mi s`df`ffijcmi mb pitïfj`c vcnis cpbecr, nc`s unc vbz, pcrc c jinpcrcäêi jin i niv`nbfti mb ãduc. \ir `ssi, cmn`t`rbnis c bx`stïfj`c mb mi`s rbsbrvctúrìs `duc`s, cis quc`s sb e`dcn mi`s jcfis mb nbsni m`çnbtri (drissurc), jini nistrcnis fc ffidurc =4. Bftrbtcfti, vcnis cpe`jcr sigrb c supbrhîj`b e`vrb mc ãduc mb un mis rbsbrvctúrìs, uscfmi unc pecjc qub sb cmcptb pbrhb`tcnbftb ci rbsbrvctúrì, un pbsi mb 3<< quèidrcncs b, sigrb i iutri, un pbsi mb 3<<< quèidrcncs. Bn iutrcs pcecvrcs, cpe`jcrbnis sigrb c supbrhîj`b m‐ãduc mb un mis rbsbrvctúrìs unc prbssêi 3< vbzbs ncìr mi qub fc mi iutri. @nbm`ctcnbftb, vbr`ffijcrbnis qub, bngirc is mi`s jcfis sbocn `duc`s, cqubeb sugnbt`mi c prbssêi 3< vbzbs ncìr tbn ceturc mi octi m‐ãduc tcngàn 3< vbzbs ncìr mi qub i iutri b qub sb bsvcz`crã bn tbnpi 3< vbzbs nbfir. nbfir. À jecri qub sb i nbsni trcgceai, iu sboc, i bsvcz`cnbfti mis rbsbrvctúrìs, à jifsbdu`mi bn tbnpi m`hbrbftb, m`hbrbft b, cqubeb qub mbniriu nbfis hi` cpe`jcmc ncìr pitïfj`c. Mbstc fissc pr`nb`rc prãt`jc, prãt`jc, pimbnis t`rcr unc jifjeusêi `npirtcftb, iu sboc, sboc, c pitïfj`c mi octi mbpbfmb mc prbssêi cpe`jcmc; pirtcfti, pirtcfti, qucfti ncìr c prbssêi, ncìr sbrã c pitïfj`c. Jini c prbssêi a`mrãue`jc tbn s`mi jinpcrcmc c prbssêi iu m`hbrbfäc mb tbfsêi beàtr`jc, pimbnis jifjeu`r, pir jinpcrcäêi, qub? ― C pitïfj`c beàtr`jc mbpbfmb m`rbtcnbftb mc m`hbrbfäc mb pitbfj`ce. ― Cdirc, hcäcnis i sbdu`ftb? Cpe`qubnis cis mi`s rbsbrvctúrìs c nbsnc prbssêi, jini mbnifstrcnis fc ffidurc =1, ncs sugst`tucnis un mis jcfis pir iutri nc`s drissi.

H`durc =4 - @eutstrcäòbs mbnifstrcfmi ...

H`durc =1 - ... i jifjb`ti mb pitïfj`c. @fst`tuti Rf`vbrsce Grcsèb`ri

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Jursi mb Ncfutbfäêi b Wbpcri mb Jbeuecr - Cpistèc <7

Fbstb jcsi fitcnis qub, bngirc i octi m‐ãduc mi jcfi ffifi ct`foc ceturc nu`ti ncìr qub i iutri, i rbsbrvctúrì mbnircrã nc`s tbnpi pcrc sbr bsvcz`cmi. @sti qubr m`zbr qub c pitïfj`c mi rbsbrvctúrì mb jcfi nc`s drissi à ncìr qub c mi iutri. Bftêi, pimbnis m`zbr qub c pitïfj`c mbpbfmb mc qucft`mcmb mb ãduc qub pcssc pbei jcfi, iu, bn iutrcs pcecvrcs, mbpbfmb mc jirrbftb mb ãduc. Ncs, vietcfmi c fissc cfceid`c, scgbnis qub c jirrbftb mb ãduc à jinpcrcmc ì jirrbftb beàtr`jc; eidi à ousti cffirncnis qub? ―C pitïfj`c beàtr`jc mbpbfmb m`rbtcnbftb mc jirrbftb beàtr`jc„. Cs mucs jifjeusòbs c qub jabdcnis pimbn pi mbn sbr bfdeigcmcs bn unc ÿf`jc, qub à? ―C pitïfj`c beàtr`jc à mcmc pbei primuti mc tbfsêi pbec jirrbftb„. C jirrbftb beàtr`jc à nbm`mc bn cnpárb b c tbfsêi à nbm`mc bn Xiet. Bn e`fducdbn nc`s s`npebs, m`rbnis qub i wctt à `duce ci primuti mi viet pbei cnpárb. Css`n, sb tbnis unc eçnpcmc qub mb`xc pcsscr jirrbftb mb <,2 C (nbì cnpárb) qucfmi e`dcmc ì tbfsêi mb 37< X (jbfti b v`ftb viets), pimbnis cffirncr qub c pitïfj`c mbssc eçnpcmc à mb 8< T (sbssbftc wctts), pirqub <,2 C x 37< X > 8< CX > 8< T (ffidurc =0).

H`durc =0 - Bsqubnc mbnifstrct`vi mc utè`zcäêi mc húrnuec mb pitïfj`c.

Bssc fiäêi mb pitïfj`c b i nimi mb jcejueã-ec , nuet`pe`jcfmi-sb c tbfsêi pbec jirrbftb, sêi nu`ti `npirtcftbs b sbrêi utè`zcmis bn timi i mbjirrbr mb fissi jursi.

Jcvcei - Hiräc (A\) C pitïfj`c mis nitirbs beàtr`jis jistunc sbr `fm`jcmc pbec uf`mcmb mb nbm`mc jifabj`mc jini jcvcei-hiräc, iu s`npebsnbftb A\; bsscs mucs ebtrcs sêi `f`j`c`s mb ―AIWZB \ITBW„, \ITBW„, pcecvrc `fdebsc qub s`df`ffijc bxctcnbftb ―jcvcei-hiräc„. ]rctc-sb mb unc nbm`mc nbjçf`jc, `f`j`cenbftb mbmuz`mc pbec igsbrvcäêi mi rbfm`nbfti mb un jcvcei (cf`nce) trcgceacfmi murcftb quctri aircs. Cs uf`mcmbs mb nbm`mc mb unc nbsnc drcfmbzc sbnprb ducrmcn bftrb s` cedunc rbecäêi. \irtcfti, bec bx`stb tcngàn bftrb i wctt b i jcvcei-hiräc. Bssc rbecäêi à c sbdu`ftb? 3 A\ > 4=8 wctts iu sboc, un jcvcei-hiräc jirrbspifmb c pitïfj`c beàtr`jc mb 4=8 wctts. Css`n, un nitir mb 3/= A\ (un qucrti mb jcvcei-hiräc) tbn pitïfj`c mb? 3 4=8 x ” > 4=8 ? = > 318,2 T = À `npirtcftb scgbr jifvbrtbr A\ bn wctts, pirqub, qucfmi qubrbnis scgbr c pitïfj`c titce mb unc `fstcecäêi, tbnis mb sincr cs pitïfj`cs mb timis is cpcrbeais, b fêi sb pimb sincr m`rbtcnbftb wctts jin A\. Acvbrã, bftêi,fbjbss`mcmb mb trcfshirncr i A\ bn wctts, sb mbsbocrnis i rbsuetcmi bn wctts; iu trcfshirncr is wctts bn A\, A\, sb mbsbocrnis i rbsuetcmi fbstc ÿet`nc uf`mcmb. Jursi mb Ncfutbfäêi b Wbpcri mb Jbeuecr - Cpistèc <7

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@fst`tuti Rf`vbrsce Grcsèb`ri

\ir bxbnpei, supifacnis unc `fmÿstr`c qub pissuc 7< eçnpcmcs mb 3<< T, 7 nitirbs mb 3 A\ A\,, : nitirbs mb 3/= A\ b 3 3/7 mb A\. A\. Subrbnis scgbr quce c pitïfj`c titce jifsun`mc, bn wctts.

\irtcfti, c pitïfj`c titce sbrã mb =.=7=,2 T. T. I ceufi, pir jbrti, bstcrã pbfscfmi fc utè`mcmb mi rbsuetcmi. rbsuetcmi. M`rbnis qub à drcfmb. drcfmb. Mb hcti, jifabjbfmi c pitïfj`c bn wctts b c tbfsêi mc e`fac bn viets pimbnis mbtbrn`fcr c jirrbftb bn cnpárbs b, jin `ssi, bsjieabr i ffii nc`s cmbqucmi ì `fstcecäêi b tcngàn c jcpcj`mcmb mis husîvb`s hu sîvb`s c sbrbn uscmis. Ceàn m`ssi, pimbnis tcngàn jcejuecr c bfbrd`c jifsun`mc murcftb un mbtbrn`fcmi pbrîimi mb hufjìfcnbfti, jini bfs`fcrbnis nc`s cm`cftb.

Nÿet`peis b Zugnÿet`peis mi Tctt I wctt à unc uf`mcmb mb nbm`mc gcstcftb s`df`ffijct`vc bn bebtrýf`jc; eidi, sbrã bxtbfscnbftb j`tcmc. Mb hcti, is cnpe`ffijcmirbs mb sin jistuncn tbr pitïfj`c mb cedufs wctts; i jifsuni mis cpcrbeais bebtrýf`jis minàst`jis tcngàn à mb cedufs cedu fs wctts, btj. Bftrbtcfti,, tcngàn sb usc un Bftrbtcfti u n sugnÿet`pei mi wctt, qub à i nè`wctt. Nè`wctt - Jirrbspifmb c nèàs`nc pcrtb mi wctt, iu sboc, c un wctt m`v`m`mi pir nè b à rbprbsbftcmi rbprbsbftc mi pir nT nT.. I nè`wctt à uscmi pcrc `fm`jcr c pitïfj`c mis cnpe`ffijcmirbs mb sin, mb rbjbptirbs pirtãtb`s, cpcrbeais pcrc surmbz, btj. Css`n, i ceufi iuv`rã hrbqubftbnbftb rbhbrïfj`cs c nè`wctt. \ir bxbnpei, un rãmì pirtãtè, mbssbs qub uscn mucs pèacs; firncenbftb tbn pitïfj`c mb scîmc mb jbrjc mb 72< nT (muzbftis b j`fqubftc nè`wctts). Oã fcs `fstcecäòbs rbs`mbfj`c`s, `fmustr`c`s, fcs us`fcs mb hiräc, btj., fêi sb jistunc uscr i wctt, pirqub c pitïfj`c à bebvcmc b sbr`c `fjýnimi hcecr un fÿnbri nu`ti drcfmb; pir `ssi, bnprbdc-sb i nÿet`pei mi wctt, qub à i quèiwctt. Suèiwctt - Zuc rbprbsbftcä rbprbsbftcäêi êi à KT b bqu`vceb c nè wctts. Mbstb nimi, ci `fvàs mb sb m`zbr? pitïfj`c mb 3<.<<< T (mbz nè wctts), m`z-sb, s`npebsnbftb? pitïfj`c mb 3< KT (mbz quèiwctts).

Bfbrd`c Beàtr`jc X`nis qub c bfbrd`c à c jcpcj`mcmb mb primuz`r trcgceai b qub pitïfj`c à i r`tni jin qub sb rbce`zc bssb trcgceai, iu sboc, à c qucft`mcmb mb bfbrd`c qub sb jifsinb fc uf`mcmb mb tbnpi. Fcturcenbftb, mbvb-sb pcdcr bssc bfbrd`c ì bnprbsc qub c hirfbjb, pi`s hi` bec qub bnprbdiu i jcp`tce pcrc c `fstcecäêi mc us`fc dbrcmirc. \crc c bnprbsc, fêi `ftbrbssc c pitïfj`c e`dcmc ì rbmb b s`n c bfbrd`c jifsun`mc. \ir bxbnpei, unc eçnpcmc mb 3<< T tbrã sbnprb c nbsnc pitïfj`c (3<< T), qubr pbrncfbäc e`dcmc un n`futi, unc airc, un cfi, btj. Bftrbtcfti, c bfbrd`c jifsun`mc (rbt`rcmc) mi dbrcmir mc us`fc à m`hbrbftb, iu sboc, à nu`ti ncìr sb c eçnpcmc ffijiu e`dcmc murcftb unc airc mi qub sb hi` e`dcmc cpbfcs pir un n`futi. Mi bxpisti, i ceufi pimb jifjeu`r qub c bfbrd`c à ―jiftcmc„ ―jiftcmc„ jifs`mbrcfmi-sb c pitïfj`c b i tbnpi qub bssc pitïfj`c ctuc. C uf`mcmb prãt`jc qub sb utè`zc pcrc jiftcr c bfbrd`c jifsun`mc à i quèiwctt-airc, qub sb cgrbv`c KTa b qub jirrbspifmb ì pitïfj`c mb un quèiwctt (3<<< wctts) utè`zcmc murcftb unc airc. @fst`tuti Rf`vbrsce Grcsèb`ri

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Fitb qub unc eçnpcmc mb 3<< T pir bxbnpei, pcrc jifsun`r un u n quèiwctt-airc mbvb pbrncfbjbr e`dcmc murcftb 3< aircs; unc eçnpcmc mb 72 T tbrã qub pbrncfbjbr e`dcmc murcftb =< aircs, pcrc jifsun`r 3 KTa; un cqubjbmir mb 7<<< T jifsinb 3 KTa bn cpbfcs 3/7 (nb`c) airc, b css`n pir m`cftb. C nbm`mc mc bfbrd`c à hb`tc pir un `fstrunbfti bspbj`ce qub sb jacnc mb jiftcmir mb bfbrd`c, nbm`mir mb bebtr`j`mcmb iu vuedcrnbftb, ―rbeúdì mb euz„. Bssbfj`cenbftb,, i nbm`mir mb bebtr`j`mcmb à un nitir juoc vbeij`mcmb à pripirjìfce ì pitïfj`c. Bssbfj`cenbftb Bssb nitir cjìfc un nbjcf`sni mb rbeioicr`c (mcî i finb mb rbeúdì), qub `fm`jc bn nistrcmir i jifsuni titce mb bfbrd`c. I ceufi pimb vbr`ffijcr, hcjènbftb, fi nbm`mir mb suc rbs`mïfj`c, qub c vbeij`mcmb mi jiftcmir à pripirjìfce ì pitïfj`c. \crc `ssi, e`dub unc eç npcmc b igsbrvb igsbr vb jini d`rc i m`sji (ritir) mi `fstrunbfti.. Bn sbdu`mc, e`dub iutrc eçnpcmc b igsbrvb jini d`rc gbn nc`s rcp`mcnbftb. `fstrunbfti

Jini Ebr c @fm`jcäêi mi Nbm`mir I t`pi mb nbm`mir nc`s m`hufm`mi bn fissi pcîs à cqubeb qub nistrcnis fc ffidurc 2<. I nistrcmi fc ffidurc 2< à mb eb`turc un piuqu`fai nc`s m`hîjè, pi`s is fÿnbris sêi `fm`jcmis bn nistrcmirbs mbj`nc`s (mb zbri c fivb) pbeis piftb`ris ritct`vis. Jini sb pimb vbr`ffijcr bn fissc ffidurc, bx`stbn fÿnbris qub pbrtbfjbn, pbr tbfjbn, rbspbjt`vcnbftb, rbspbjt`vcnbftb, c mi`s nistrcmirbs. @sti à pissîvbe pirqub is piftb`ris d`rcn, mi`s c mi`s, bn sbft`mis jiftrãrìs. Css`n, igsbrvcfmi c ffidurc 2<, i ceufi fitc qub i pr`nb`ri piftb`ri, jiftcmi mc bsqubrmc pcrc c m`rb`tc, d`rc mc bsqubrmc pcrc c m`rb`tc; i sbdufmi, mc m`rb`tc pcrc c bsqubrmc; i tbrjb`ri, mc bsqubrmc pcrc c m`rb`tc; b ffifcenbftb i qucrti mc m`rb`tc pcrc c bsqubrmc.

H`durc 2< - Wbeúdì mb Euz (nbm`mir).

Jifvàn igsbrvcr qub i niv`nbfti mis piftb`ris à jini mbsjrbvbnis, pirqub bebs sêi jincfmcmis pir bfdrbfcdbfs cjipecmcs, jini nistrcnis fc ffidurc 23. Fbssc ffidurc pimb-sb igsbrvcr qub sb c pr`nb`rc bfdrbfcdbn d`rc pcrc c m`rb`tc, c sbdufmc d`rc pcrc c bsqubrmc, c tbrjb`rc pcrc c m`rb`tc, b css`n pir m`cftb.

H`durc 23 - Hufjìfcnbfti mcs bfdrbfcdbfs bfdrbfcdbfs mi nbm`mir mb euz Jursi mb Ncfutbfäêi b Wbpcri mb Jbeuecr - Cpistèc <7

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C eb`turc mc bfbrd`c dcstc, fbstb t`pi mb ―rbeúdì„, à hb`tc igsbrvcfmi-sb qub? 3¿) i piftb`ri mi pr`nb`ri nistrcmir, jiftcfmi mc bsqubrmc pcrc c m`rb`tc, `fm`jc i cedcr`sni jirrbspifmbftbb ci pr`nb`ri cedcr`sni mc eb`turc, iu sboc, ci nèacr; jirrbspifmbft 7¿) i piftb`ri mi sbdufmi nistrcmir `fm`jc i cedcr`sni jirrbspifmbft jirrbspifmbftbb c jbftbfc; :¿) i piftb`ri mi tbrjb`ri nistrcmir `fm`jc i cedcr`sni qub jirrbspifmb c mbzbfc; =¿) ffifcenbftb i piftb`ri mi qucrti nistrcmir `fm`jc i cedcr`sni qub jirrbspifmb c uf`mcmb. Zbdufmi bsscs bxpe`jcäòbs, i jiftcmir mb bfbrd`c mc ffidurc 23 bstã ncrjcfmi bxctcnbftb :834 KTa. I ceufi mbvb fitcr qub qucfmi un piftb`ri bstã bftrb mi`s cedcr`snis, jifs`mbrc-sb, pcrc c eb`turc, i fÿnbri nbfir, fi sbft`mi mi niv`nbfti. Bn fissi bxbnpei, i piftb`ri mi pr`nb`ri nistrcmir bstã fi fÿnbri :; eidi, : à i pr`nb`ri fÿnbri mc eb`turc.

Jini @ftbrprbtcr unc Eb`turc Nu`tcs vbzbs, pir jurìs`mcmb, iu ctà nbsni pcrc jiftrieb mb dcstis, i usuãrì mbsboc scgbr qucftis quèiwctts dcstiu bn un mbtbrn`fcmi pbrîimi mb tbnpi, m`dcnis un nïs. \crc tcfti, à suffij`bftb tincr mucs eb`turcs, iu sboc, c `f`j`ce b iutrc mbjirr`mi i tbnpi mbsbocmi. \ir bxbnpei, vcnis supir qub i ceufi mbsboc scgbr quce à i jifsuni mb bfbrd`c murcftb un nïs. Bftêi, hcz c pr`nb`rc eb`turc. Zupifacnis qub i nbm`mir bstboc ncrjcfmi 7:22 KTa. @sti pisti, mbpi`s mb mbjirr`mi un nïs, hcz-sb fivc eb`turc. Cmn`tcnis qub i nbm`mir bstboc cjuscfmi 7=87 KTa. \ir m`hbrbfäc mbtbrn`fc-sb i fÿnbri mb quèiwctts-airc ―dcstis„ murcftb i nïs. Fi jcsi sbrã? 7=87 - 7:22 > 3<4KTa Fcturcenbftb, scgbfmi-sb i prbäi mi quèiwctt-airc jigrcmi pbec bnprbsc m`str`gu`mirc mb bfbrd`c mc rbd`êi, pimb-sb jcejuecr is dcstis bn rbc`s.

Cssij`cäêi mb Dbrcmirbs Cffirncnis fc cpistèc cftbrìr, qub unc pèac sbjc tbn, quc`squbr qub sbocn sucs m`nbfsòbs hîs`jcs, hiräc bebtrinitr`z mb jbrjc mb 3,2 viet. Ncs, qucsb sbnprb, fcs cpe`jcäòbs prãt`jcs, fbjbss`tc-sb mb tbfsòbs ncìrbs. \crc jifsbdu`-ecs, gcstc ―cssij`cr„ vãr`cs pèacs mb ncfb`rc jifvbf`bftb, `sti à, e`dã-ecs bftrb s` mb ncfb`rc c igtbr i vceir mbsbocmi mb tbfsêi, iu mb jirrbftb, sb hir i jcsi. Bx`stbn trïs piss`gè`mcmbs mb cssij`cäêi? bn sàr`b, bn pcrcebei b n`stc.

Cssij`cäêi bn Zàr`b C cssij`cäêi bn sàr`b, mb dbrcmirbs, jifs`stb jifs`stb bn e`dcr sbus púeis mb ncfb`rc ncfb`rc qub i pis`t`vi mb un sboc e`dcmi ci fbdct`vi mi iutri, b css`npir m`cftb. Fc ffidurc 27, èustrcnis unc cssij`cäêi mb = pèacs bn sàr`b. Fbstc ffidurc, i ceufi vï i bsqubnc beàtr`ji, ifmb, pir jifvbfäêi, jifvbfäêi, i trcäi ncìr jirrbspifmb ci púei pis`t`vi mc pèac b i trcäi nbfir ci púei fbdct`vi. Bstc jifvbfäêi ctucenbftb ctucenbftb à c nc`s utè`zcmc b c qub sbdu`rbnis; bftrbtcfti , i ceufi fêi mbvb bstrcfacr ci bfjiftrcr jifvbfäêi jiftrãr`c bn iutrc puge`jcäêi tàjf`jc. Fc ffidurc 2:, cprbsbftcnis cs e`dcäòbs bn sbu cspbjti rbce. ]ce ]ce mbsbfai à jacncmi mb j`rju`ti jacpbcmi.

H`durc 2: - Bxbnpei mb e`dcäêi bn sàr`b.

H`durc 27 - Bsqubnc mb e`dcäêi bn sàr`b. @fst`tuti Rf`vbrsce Grcsèb`ri

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Cs pripr`bmcmbs mb cssij`cäêi bn sàr`b sêi? dbrcmir. 3ª) C hiräc bebtrinitr`z mc cssij`cäêi à `duce c sinc mcs hiräcs bebtrinitr`zbs mb jcmc dbrcmir. Bn fissi bxbnpei, jcmc pèac tbn hiräc bebtrinitr`z mb 3,2X; eidi, c cssij`cäêi sbrã mb? 3,2 + 3,2 + 3,2 + 3,2 > 8 viets. 7ª) C jirrbftb nãx`nc qub c cssij`cäêi pimb hirfbjbr à `duce c mb unc pèac sú. Rnc cssij`cäêi bn sàr`b, mb pèacs, à jacncmc mb ―gctbr`c mb pèacs„. pèacs„.

Cssij`cäêi bn \crcebei C cssij`cäêi à m`tc bn pcrcebei qucfmi is tbrn`fc`s mb nbsni finb sêi e`dcmis bftrb s`, iu sboc, ufbn-sb timis is tbrn`fc`s pis`t`vis, qub jifst`tu`rêi i púei pis`t`vi mc cssij`cäêi, b, timis is tbrn`fc`s fbdct`vis, qub sbrêi i púei pú ei fbdct`vi mc cssij`cäêi. Fc ffidurc 2= b 22, èustrcnis unc cssij`cäêi bn pcrcebei mb = pèacs. Fc ffid. 2=, tbnis i bsqubnc beàtr`ji igbmbjbfmi c jifvbfäêi cmitcmc pcrc rbprbsbftcr unc pèac b, fc ffidurc 22, i mbsbfai jacpbcmi.

H`durc 2= - Bsqubnc mb e`dcäêi bn pcrcebei. H`durc 22 - Bxbnpei mb e`dcäêi bn pcrcebei.

Cs pripr`bmcmbs mc cssij`cäêi bn pcrcebei sêi? 3ª) C hiräc bebtrinitr`z mc cssij`cäêi à, c nbsnc mb qucequbr unc mcs pèacs. Bn fissi bxbnpei, bec à mb 3,2 X. 7ª) C jirrbftb nãx`nc qub c cssij`cäêi pimb hirfbjbr à `duce c sinc mcs jirrbftbs mb jcmc unc mcs pèacs.

Cssij`cäêi N`stc iu bn Zàr`b - \crcebei Fc ffidurc 28, nistrcnis unc cssij`cäêi mi t`pi n`stc iu bn sàr`b-pcrcebei. Jini sb fitc, jifs`stb bssc cssij`cäêi bn e`dcäòbs mi t`pi bn sàr`b b mi t`pi bn pcrcebei oã bstumcmis. Xbnis, bftêi, mucs cssij`cäòbs (mb mucs pèacs bn sàr`b), iu sboc, pèac C bn sàr`b jin G, pèac J bn sàr`b jin pèac M, b ffifcenbftb bsscs mucs cssij`cäòbs e`dcmcs bn pcrcebei.

H`durc 28 - Bsqubnc b bxbnpei mb e`dcäêi mc cssij`cäêi n`stc. Jursi mb Ncfutbfäêi b Wbpcri mb Jbeuecr - Cpistèc <7

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C cssij`cäêi n`stc dizc mcs pripr`bmcmbs mc cssij`cäêi bn sàr`b b bn pcrcebei. Css`n, fi bxbnpei mb fissc ffidurc 28, tbnis c hiräc bebtrinitr`z mc cssij`cäêi qub à mb : X (pripr`bmcmb mc cssij`cäêi bn sàr`b), b c jirrbftb qub sb pimb rbt`rcr à `duce c mb mucs pèacs (pripr`bmcmb mc cssij`cäêi bn pcrcebei). Bn rbsuni, bssc cssij`cäêi tbn c hiräc bebtrinitr`z mb mucs pèacs b c jcpcj`mcmb mb jirrbftb tcngàn, mb mucs pèacs. \crc ffifce`zcr ebngrcnis ci ceufi mb qub cs cssij`cäòbs pimbn sbr hb`tcs bn qucequbr t`pi mb dbrcmir b fêi sinbftb jin pèacs. Ceàn m`ssi, is dbrcmirbs mbvbn sbr `duc`s, jcsi jiftrãrì cedufs mbebs, pimbn rbt`rcr jirrbftb, ci `fvàs mb hirfbjï-ec.

Wbs`stirbs @ftrimuäêi Jin bstc cuec, bstcnis `f`j`cfmi i bstumi mis bebnbftis pcss`vis mis j`rju`tis bebtrýf`jis. Jinbäcrbnis pir mbsjrbvbr i rbs`stir, qub à i nc`s pipuecr mis jinpifbftbs bebtrýf`jis b juoc ãrbc mb cpe`jcäêi à bfirnb, pi`s vc` mbsmb jcgis sugncr`fis ctà is nc`s jinpebxis jinputcmirbs b sctàe`tbs crt`ffij`c`s, sbn nbfjìfcrnis is cpcrbeais mb rãmì, ]X, cnpe`ffijcmirbs, btj. C cpcrïfj`c rbce mb un rbs`stir à nistrcmc fc ffidurc 24.

H`durc 24 - Cpcrïfj`c mb un rbs`stir.

I qub à Wbs`stir X`nis, fcs cuecs cftbrìrbs, qub c pripr`bmcmb qub tbn qucequbr jirpi mb sb ipir ì pcsscdbn mcs jcrdcs beàtr`jcs à jacncmc mb rbs`stïfj`c beàtr`jc, ncs, qucfmi bssb jirpi à bsjiea`mi jin c ffifce`mcmb bxjeus`vc mb `ftrimuz`r rbs`stïfj`c, beb rbjbgb i finb mb rbs`stir. rbs`stir. Is rbs`stirbs sêi utè`zcmis fis nc`s vcr`cmis j`rju`tis, jini ch`rncnis, ncs sucs hufäòbs pr`fj`pc`s sêi? e`n`tcr ﬇uxi mb jirrbftb b m`v`m`r iu m`n`fu`r c tbfsêi. Bn jcebhcäêi (cqubj`nbfti), (cqubj`nbfti), i rbs`stir tbn iutrc utè`mcmb, utè`mcmb, qub à c mb primuz`r jceir. Zêi cs jacncmcs ―rbs`stïfj`cs„ mb hbrri mb pcsscr, hbrri mb siemcr, hidcrb`ri, jauvb`ri, btj. ]imcv`c, bn bebtrýf`jc, i rbs`stir firncenbftb fêi à uscmi jin bssc ffifce`mcmb.

Bspbj`ffijcäòbs mis Wbs`stirb Wbs`stirbss \ir bspbj`ffijcäêi mb un jinpifbftb i ceufi mbvb bftbfmbr unc sàr`b mb `fm`jcäòbs sigrb cs pripr`bmcmbs pr`fj`pc`s mi nbsni, cs quc`s pbrn`tbn ouedcr sb beb sbrvb pcrc cpe`jcäòbs qub sb tïn bn v`stc. Fêi sú bn bebtrýf`jc, ncs jini bn qucequbr iutri rcni mc tàjf`jc, is jinpifbftbs iu pbäcs sêi bspbj`ffijcmis, iu sboc, jecss`ffijcmis, pcrc qub pisscn sbr cmqu`r`mis sbnprb jin cs nbsncs jcrcjtbrîst`jcs. @fst`tuti Rf`vbrsce Grcsèb`ri

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\crc is rbs`stirbs, cs jcrcjtbrîst`jcs nc`s `npirtcftbs ci tàjf`ji jinun sêi?

Xceir Fin`fce mc Wbs`stïfj`c Jirrbspifmb ci vceir mc rbs`stïfj`c mi jinpifbftb `fm`jcmi fc uf`mcmb usuce, qub à i ian. I vceir fin`fce à `fm`jcmi fi jirpi mi rbs`stir pir un júm`di cmbqucmi, jifhirnb vbrbnis fc cuec prãt`jc.

]iebrçfj`c Sucfmi cmqu`r`nis un rbs`stir `fm`jcfmi i vceir fin`fce mb suc rbs`stïfj`c b i ebvcnis c un nbm`mir (ianînbtri) mb prbj`sêi, igsbrvcnis qub sú nbsni, pir nu`tc ji`fj`mïfj`c, i vceir fin`fce à `duce ci nbm`mi. I vceir nbm`mi à i qub sb jacnc mb vceir rbce mi rbs`stir, rbs`stir, jini èustrcmi fc ffidurc 21.

H`durc 21 - @fm`jcäêi mi vceir rbce mb un rbs`stir.

I vceir fin`fce `fm`jc bftêi, nc`s iu nbfis, i vceir rbce, iu sboc, unc vceir cprix`ncmi mi rbce. \crc c cpe`jcäêi mi rbs`stir rbs`stir fi j`rju`ti, à `npirtcftb scgbr qub cprix`ncäêi i j`rju`ti jinpirtc. \ir bxbnpei, vcnis cmn`t`r qub i tàjf`ji priobtiu un j`rju`ti qub hufjìfc gbn jin un rbs`stir mb vceir rbce vcr`cfmi mb 0< c 33< Π. Jbrtcnbftb, beb bsjieabrã i vceir nàmì, qub à mb 3<< Π. Sucfmi beb cmqu`rb i rbs`stir mb 3<< Π, prbj`sc tbr jbr tbzc mb qub sbu vceir fêi à `fhbrìr c 0< Π b fbn supbrìr c 33< Π,nbsni sbn nbm`-ei. Bssb `ftbrvcei mb vceirbs, iu sboc, mb 0< c 33< Π, bn fissi jcsi, jirrbspifmb ci qub sb jacnc mb tiebrçfj`c mi rbs`stir. I finb à sudbst`vi, pirqub jirrbspifmb, mb hcti, cis vceirbs m`hbrbftbs mb 3<< Π qub sb pimbn tiebrcr tiebrcr.. ]iebrçfj`c > @ftbrvcei mb vceirbs Igsbrvb i ceufi qub `fm`jcr c tiebrçfj`c pbei `ftbrvcei mb vceirbs fêi à jýnimi b pimb jcuscr jifhusòbs; pir `ssi, jifvbfjìfiu-sb jifvbfjìfiu-sb qub c tiebrçfj`c hissb `fm`jcmc pbec pirjbftcdbn, pirjbftcdbn, pcrc nc`s iu pcrc nbfis, mi vceir fin`fce. Mbstb nimi, fi rbs`stir mb 3<< Π (vceir fin`fce) 3<% (tiebrçfj`c) à i qub sbrv`r`c pcrc fissi bxbnpei, pirqub 3<% mb 3<<, à 3<. \i`s 3<% mb 3<< >

3< ”--” 3<<

x 3<<

Css`n, is vceirbs bxtrbnis mi rbs`stir, rbs`stir, `sti à, i ncìr b i nbfir vceir rbce qub i rbs`stir pimb tbr sêi mb 0<Π (3<<-3<) b 33< Π (3<<+3<). (3<<+3<). I ceufi fêi prbj`sc prbijupcr-sb prbijupcr-sb bn bhbtucr bhbtucr bssbs jãejueis, pi`s qubn i hcz à i priobt`stc mi j`rju`ti. ]imcv`c, mbvb sbnprb rbspb`tcr c tiebrçfj`c `fm`jcmc fi bsqubnc iu fi rbs`stir qub hir sugst`tu`r,, pcrc qub i cpcrbeai hufjìfb mbftri mcs jcrcjtbrîst`jcs pcrc cs quc`s hi` jifstruîmi. Fitb sugst`tu`r Jursi mb Ncfutbfäêi b Wbpcri mb Jbeuecr - Cpistèc <7

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qub sugst`tu`r un rbs`stir pir iutri mb tiebrçfj`c tiebrçfj`c nbfir à vcftcoisi, ncs i jiftrãrì jiftrãrì fêi. Css`n, sb pcrc i bxbnpei qub mbnis fêi bfjiftrãssbnis rbs`stir mb 3<< Π b 3<%, ncs mb 3<< Π b 2%, pimbrîcnis utè`zã-ei sbn qucequbr rbjbì. Bftrbtcfti, sb i rbs`stir m`spifîvbe hissb mb 3<< Π b 7<%, fêi mbvbrîcnis utè`zã-ei, c fêi sbr qub nbmîssbnis sbu vceir rbce jin i ianînbtri b jiftãssbnis qub suc rbs`stïfj`c bst`vbssb fi `ftbrvcei 0< - 3<< Π. Π. C tiebrçfj`c mis rbs`stirbs vbn vbn `fm`jcmc bn sbu jirpi ctrcvàs mb un júm`di. júm`di.

ZC@GC NC@Z ]bfsêi beàtr`jc - à c m`hbrbfäc mb pitbfj`ce bftrb mi`s piftis. À nbm`mc bn viet bn ainbfcdbn c Cebsscfmri Xietc. Jirrbftb beàtr`jc - à i niv`nbfti ir`bftcmi mis beàtrifs. À nbm`mi bn cnpárbs bn ainbfcdbn c Wbfá Cnpbr. \itïfj`c beàtr`jc - à c jcpcj`mcmb mb primuz`r trcgceai. À nbm`mc bn wctt bn ainbfcdbn c Ocnbs Tctt. Wbs`stïfj`c beàtr`jc - à c m`ffijuemcmb qub is jirpis ihbrbjbn ì pcsscdbn mc jirrbftb beàtr`jc. À nbm`mc bn IAN bn ainbfcdbn c Dbirdb Z`nif IAN. Mb cjirmi jin i drcu mb rbs`stïfj`c is jirpis sb jecss`ffijcn bn? Gifs jifmutirbs, ihbrbjbn gc`xc rbs`stïfj`c jini iuri, prctc b jigrb. Ncus jifmutirbs ihbrbjbn m`ffijuemcmb ncìr jini Fîqube, Jrini, Cut`nýfì, Hbrri Hbrri btj. @siecftbs, ihbrbjbn un drcu mb m`ffijuemcmb têi bebvcmc qub `npbmb c pcsscdbn mis beàtrifs jini \irjbecfc, X`mri, \eãst`ji btj.

\itïfj`c mb M`ss`pcäêi Fin`fce Cffirncnis qub i rbs`stir , firncenbftb , hufjìfc jini i e`n`tcmir mb jirrbftb iu m`v`sir mb tbfsêi. Bn qucequbr mbsscs j`rjufstçfj`cs, pir beb pcssc unc jirrbftb qub primuz un trcgceai beàtr`ji qub sb ncf`hbstc sig c hirnc mb jceir , i quce à m`ss`pcmi, iu sboc, dcsti fi cqubj`nbfti mi jirpi mi rbs`stir. B sbfmi css`n, jacnc-sb mb pitïfj`c mb m`ss`pcäêi mb un rbs`stir c bfbrd`c beàtr`jc qub beb trcfshirnc bn jceir. Bssc pitïfj`c mbpbfmb mc jirrbftb qub pcssc pbei rbs`stir b mc tbfsêi cpe`jcmc cis sbus tbrn`fc`s. \crc sbr nc`s bxcti, m`rbnis qub bec à jcejuecmc nuet`pe`jcfmi-sb nuet`pe`jc fmi-sb c tbfsêi bn viets pbec jirrbftb bn cnpárbs, b i rbsuetcmi à mcmi bn wctts. Jacnc-sb mb pitïfj`c mb m`ss`pcäêi fin`fce mb un rbs`stir c pitïfj`c beàtr`jc qub beb pimb cgsirvbr bn hufjìfcnbfti firnce. Fitb qub c pitïfj`c cgsirv`mc à m`ss`pcmc bn jceir, mcî tcngàn i finb mb pitïfj`c mb m`ss`pcäêi. I ceufi, pir jbrti, bstcrã sb pbrduftcfmi quce i `ftbrbssb fi jifabj`nbfti mc pitïfj`c fin`fce mb m`ss`pcäêi. Ch`rncnis qub beb à drcfmb, b vcnis mcr un bxbnpei beuj`mct`vi. beuj`mct`vi. Xcnis supir qub fbjbss`tbnis mb un rbs`stir mb 3<< Π. \imbnis jifstruî-ei mb `fÿnbrcs ncfb`rcs m`hbrbftbs. \ir bxbnpei, bxbnpei, pimbnis tincr un jbftînbtri mb un ffii bspbj`ce qub mï 3<< Π /jn; pimbnis tincr 7 jn mb un hì mi nbsni nctbr`ce, ncs qub tbfac ãrbc : jn mi nbsni hì jin ãrbc : vbzbs ncìr, b css`n pir m`cftb. I ceufi igsbrvc qub pimbnis igtbr c nbsnc rbs`stïfj`c, gcstcfmi cunbftcr pripirjìfcenbftb c sbjäêi b i jinpr`nbfti. \brduftcr-sb-`c? Suce i rbs`stir nc`s jifvbf`bftb, i mb nbfir sbjäêi iu i mb ncìr, oã qub c rbs`stïfj`c à c nbsnc9 Iu? \imbnis utè`zcr, `fm`hbrbftbnbftb, qucequbr un mbebs9 C rbspistc c bsscs pbrduftcs pimbrã sbr mcmc, sb uscrnis i rcjìjîfì. Mb hcti, jini is rbs`stirbs tïn c nbsnc rbs`stïfj`c, à jecri qub e`dcmis ì nbsnc m`hbrbfäc mb pitbfj`ce, sbrêi pbrjirr`mis pbec nbsnc jirrbftb b, jifsbqubftbnbftb, e`gbrtcrêi (m`ss`pcrêi) c nbsnc qucft`mcmb mb jceir. Ctà cqu` c jifjeusêi qub t`rcrîcnis à c mb qub qucequbr mis rbs`stirbs sbrvb. Ncs aã un prigebnc? bssc qucft`mcmb mb jceir mbvb sbr c nbfir pissîvbe, pi`s un cpcrbeai @fst`tuti Rf`vbrsce Grcsèb`ri

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bebtrýf`ji fêi à cqubjbmir. cqubjbmir. Ceàn mi nc`s , sb i hì hir nu`ti h`fi, i jceir pimbrã sbr suh`j`bftb pcrc hufm`-ei (mbrrbtï-ei). Jifjeusêi eúd`jc? Mbvbnis uscr i rbs`stir qub bsqubftb nbfis, qub fi jcsi sbr`c cqubeb hb`ti jin i hì nc`s drissi. Bssc jifjeusêi, bngirc eúd`jc, fêi à prãt`jc fbn bjifýn`jc, pi`s i rbs`stir tbr`c m`nbfsòbs bxcdbrcmcs b sc`r`c jcri. \crc be`n`fcr tc`s prigebncs, cs hãgr`jcs jifstribn is rbs`stirbs, sugnbtbn-fis c tbstbs r`dirisis b mbtbrn`fcn c pitïfj`c qub bebs pimbn cgsirvbr b trcfshirncr bn jceir, sbn sb hufm`rbn. Ceàn m`ssi, i priobt`stc sbnprb bsjieab rbs`stirbs qub pisscn m`ss`pcr pitïfj`c mucs vbzbs ncìr qub c jcejuecmc, pcrc dcrcft`r qub fêi acoc supbrcqubj`nbfti. Mi qub hi` nbfjìfcmi rbsuetc qub c pitïfj`c mb m`ss`pcäêi fin`fce mi rbs`stir mbpbfmb mb sucs m`nbfsòbs hîs`jcs, iu sboc, mi sbu tcncfai. \irtcfti, fi bxbnpei qub mbnis fis vãrìs rbs`stirbs rbs`stir bs mb 3<<Π, cqubeb qub hi` jifstruîmi jin i hì ncìr b nc`s drissi, eidi, i mb ncìrbs m`nbfsòbs hîs`jcs, à tcngàn i mb nc`s cetc pitïfj`c mb m`ss`pcäêi fin`fce. B pir qub c pitïfj`c mbpbfmb mcs m`nbfsòbs mi rbs`stir9 Z`npebsnbftb pirqub un jirpi mb drcfmb vieunb (ncssc) pimb cgsirvbr i nbsni jceir qub un mb pbqubfi vieunb, cqubjbfmi-sb nbfis. \crc qub i ceufi fêi tbfac fbfau nc mÿv`mc sigrb bssb hcti, pimb hc zbr c sbdu`ftb bxpbr`ïfj`c? \bdub unc jieabr pbqubfc (mb jchà, pir bxbnpei) mb cäi b sbdurb-c sigrb c jacnc mb unc vbec, murcftb un n`futi. Xbr`h`jcrã qub bec sb cqubjb c pifti mb qucsb, qub`ncr-eab is mbmis. Cdirc, pbdub un ncjacmi, mi nbsni cäi mc jieabr, jieabr, b sbdurb-i sigrb c jacnc mc vbec, murcftb i nbsni tbnpi, iu sboc, un n`futi. Igsbrvcrã qub i ncjacmi piuji iu qucsb fcmc sb cqubjb. Irc, à jecri qub tcfti c jieabr jini i ncjacmi cgsirvbn c nbsnc qucft`mcmb mb jceir, pi`s ffijcrcn sigrb c jacnc mc nbsnc vbec, murcftb i nbsni tbnpi. I ncjacmi sb cqubjb nbfis, pirqub c suc ncssc à ncìr b m`str`gu` nbeair i jceir jceir.. Ceàn mbssc bxpbr`ïfj`c, qub cjrbm`tcnis sbr gcstcftb beuj`mct`vc, pimbnis j`tcr un cjiftbj`nbfti nu`ti jinun, qub rbhiräc i qub ch`rncnis. ]rctc-sb mc qub`nc mc rbs`stïfj`c mi jauvb`ri beàtr`ji, qucfmi e`dcmi sbn ãduc. Mb hcti, ci sbr e`dcmc c rbs`stïfj`c, sbn ãduc, qucsb timi i jceir qub bec primuz à dcsti bn cqubjbr sbu prúprì hì qub, fêi supirtcfmi, hufmb-sb hufmb-sb (ix`mc-sb) rcp`mcnbftb, rcp`mcnbftb, cgr`fmi i j`rju`ti. M`zbnis, M`zbnis, bftêi, qub c rbs`stïfj`c sb qub`niu. Sucfmi Suc fmi c rbs`stïfj`c hufjìfc firncenbftb, firncenbftb, iu sboc, jin j`rjuecäêi j`rjuecäêi mb ãduc, bstc rbt`rc i jceir mc rbs`stïfj` rbs`st ïfj`c, c, bshr`cfmi-sb b fêi pbrn`t`fmi qub bec ct`foc c tbnpbrcturc qub privijcr`c suc qub`nc. I ceufi nc`s crduti, pir jbrti, bstcrã pbrduftcfmi? Ncs ifmb bftrc c ncssc, fbssb bxbnpei, sb c rbs`stïfj`c à c nbsnc jin iu sbn ãduc9 Bxpe`qubnis? Zbn ãduc, fêi jifs`mbrcfmi c ncssc mi supirtb mc rbs`stïfj`c b mc pcrtb nbtãe`jc mi jauvb`ri, c ncssc à bxjeus`vcnbftb c mc rbs`stïfj`c rbs`stïfj `c b c mi cr qub bfjab i gioi, ncssc bstc gcstcftb pbqubfc. Sucfmi jabì mb ncssc, c mc rbs`stïfj`c b c mc ãduc qub i gioi jiftàn, bstc ncssc qub à nu`ti drcfmb bn jinpcrcäêi jin c mi cr. \crc h`fce`zcr, i ceufi mbvb tbr bn nbftb qub, pcrc rbs`stirbs mb nbsni vceir b jifst`tuîmis mi nbsni nctbr`ce, is mb ncìrbs m`nbfsòbs tïn ncìrbs pitïfj`cs mb m`ss`pcäêi fin`fce qub, fcs niftcdbfs iu sugst`tu`äòbs, qucfmi fêi sb m`spòb mb rbs`stir jin pitïfj`c fin`fce `fm`jcmc, mbvb-sb uscr sbnprb iutri, mb pitïfj`c e`db`rcnbft e`db`rcnbftbb supbrìr.

ZC@GC NC@Z Cs bspbj`ffijcäòbs qub i ceufi mbvbrã `fm`jcr, sbnprb qub cmqu`r`r un rbs`stir sêi? vceir ýan`ji, iu sboc, i vceir mb suc rbs`stïfj`c bn ians, tiebrçfj`c, `sti à, i `ftbrvcei mb vceirbs mbftri mi quce sb bfjiftrc i vceir rbce mc rbs`stïfj`c, `fm`jcmi bn pirjbftcdbn; b c pitïfj`c mb m`ss`pcäêi fin`fce, qub à c pitïfj`c qub i rbs`stir pimb cgsirvbr bn hufjìfcnbfti firnce, sbn i pbr`di mb mcf`ffijcr-sb. Jursi mb Ncfutbfäêi b Wbpcri mb Jbeuecr - Cpistèc <7

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Wbs`stirbs Bspbj`c`s ]brn`stirbs À un t`pi mb rbs`stir juoc rbs`stïfj`c vcr`c jin c tbnpbrcturc, mb nimi cmvbrsi ci mi rbs`stir mb jcrvêi. Mb hcti, i rbs`stir mb jcrvêi, qucfmi cqubj`mi, sihrb unc m`n`fu`äêi ebftc fi vceir mb suc rbs`stïfj`c, ci pcssi qub i tbrn`stir tbn suc rbs`stïfj`c m`n`fuîmc mb ncfb`rc nu`ti nc`s cjbftucmc. \crc qub i ceufi hcäc unc `mb`c mbssc vcr`cäêi, pimbnis bsjecrbjbr qub un tbrn`stir mb 3:< Π, fc tbnpbrcturc cng`bftb cng`bftb firnce, iu sboc, mb 72¼J(v`ftb b j`fji drcus jbftîdrcmis), pcssc c sbr mb 7<Π, qucfmi c tbnpbrcturc cunbftc pcrc 4<¼. Is tbrn`stirbs tcngàn sêi jifabj`mis jini rbs`stirbs F]J iu \]J; bsscs trïs ebtrcs sêi c cgrbv`cäêi mb ―Fbdct`vb iu \is`t`vb ]bnpbrcturb Jibffij`bft„, pcecvrcs `fdebscs qub s`df`ffijcn ―Jibffij`bftb Fbdct`vi iu \is`t`vi mb ]bnpbrcturc„. Is tbrn`stirbs sêi utè`zcmis bn bebtrýf`jc jini bebnbfti mb bstcgè`zcäêi b pritbäêi mb j`rju`tis. Fi ninbfti ipirtufi, vbrbnis jini `ssi ijirrb. Fc ffidurc 20, nistrcnis i cspbjti hîs`ji mb un t`pi mb tbrn`stir, tbrn`stir, gbn jini sbu sîngiei.

H`durc 20 - Cspbjti hîs`ji mb un tbrn`stir jin sbu sîngiei.

Xcr`stirbs À un t`pi mb jinpifbftb juoc rbs`stïfj`c rbs`stïfj`c sihrb vcr`cäêi vcr`cäêi jin cs nim`ffijcäòbs mc tbfsêi cpe`jcmc c beb. I ceufi scgb qub, pcrc is rbs`stirbs rbs`stirbs mb jcrvêi, mbsmb qub fêi sboc uetrcpcsscmc uetrcpcsscmc suc pitïfj`c mb m`ss`pcäêi, c rbs`stïfj`c à c nbsnc pcrc qucequbr vceir mb tbfsêi cpe`jcmc c sbus tbrn`fc`s. Oã jin i vcr`stir fêi cjiftbjb i nbsni, pi`s c suc rbs`stïfj`c mbpbfmb mc tbfsêi qub bstã sbfmi cpe`jcmc c sbus tbrn`fc`s. I vcr`stir tcngàn à jacncmi mb rbs`stir XMW; bsscs ebtrcs s`df`h`jcn ―Xietcdbn Mbpbfmbft Wbs`stir„, juoc trcmuäêi à ―rbs`stïfj`c mbpbfmbftb mb vietcdbn„. Is vcr`stirbs sêi utè`zcmis bn rbjbptirbs mb tbebv`sêi, pcrc bstcgè`zcr c ceturc b c ecrdurc mc `ncdbn `sti à, pcrc qub bec ffiqub jifstcftb, `fmbpbfmbftb `fmbpbfmbftb mc vcr`cäêi mc tbfsêi mc rbmb. Fc ffidurc 8<, cprbsbftcnis un t`pi mb vcr`stir b sbu sîngiei. Jini i ceufi pimb fitcr, fi cspbjti hîs`ji beb fbn sbnprb à sbnbeacftb c un rbs`stir mb jcrvêi.

H`durc 8< - Cspbjti hîs`ji mb un vcr`stir b sbu sîngiei. @fst`tuti Rf`vbrsce Grcsèb`ri

3:


Hitirrbs`stir Is hitirrbs`stirbs, jini i finb sudbrb, sêi jinpifbftbs juoi vceir mb rbs`stïfj`c vcr`c jin c eun`fis`mcmb. Zêi gcstcftb bnprbdcmis bn út`jc jini bebnbftis mb hitýnbtris, bn j`rju`tis mb pritbäêi `fmustr`c`s (pcrcmc mb bqu`pcnbfti, cecrnb jiftrc riugis, b `fjïfmì, btj.) b tcngàn bn bebtrýf`jc, pr`fj`pcenbftb pcrc i jiftrieb cutinãt`ji mi grèai, fis rbjbptirb rbjbptirbss mb ]X. Is hitirrbs`stirbs tcngàn sêi jifabj`mis jini rbs`stirbs EMW, cgrbv`cäêi mb ―E`dat Mbpbfm`fd Wbs`stir„, juoi s`df`ffijcmi à ―rbs`stïfj`c mbpbfmbftb mc euz „. Fc ffidurc 83, nistrcnis un hitirrbs`stir b sbu sîngiei.

H`durc 83 - Cpcrïfj`c rbce mb un EMW b sbus sîngieis.

Wbmb Wbs`st`vc I cvcfäi mc tbjfieid`c pbrn`tb qub aiob sbocn jr`cmis fivis t`pis mb m`spis`t`vis m`spis`t`vis bebtrýf`jis. Rn mbstbs m`spis`t`vis à rbmb rbs`st`vc, c quce, pir ce`cr rbmuz`mcs pripiräòbs b unc cetc jiffficgè`mcmb, pbrn`tb unc jinpcjtcäêi ncìr fc niftcdbn mb j`rju`tis bebtrýf`jis, ceàn mb pripirjìfcr unc rbmuäêi fi justi titce mis nbsnis. \imbnis jifs`mbrcr unc rbmb rbs`st`vc jini sbfmi unc uf`êi mb vãrìs rbs`stirbs bn un ÿf`ji bfjcpsuecnbfti.. \ir bstb nit`vi, fêi fis ceifdcrbnis bn jifs`mbrcäòbs nc`s prihufmcs sigrb suc bfjcpsuecnbfti jifst`tu`äêi. C tîtuei èustrct`vi, nistrcnis fc ffidurc 87 sbu cspbjti rbce; bn bfjcpsuecnbfti Z@\, Z@\, ceàn mb, fc ffidurc 8:, rbprbsbftcrnis is trïs t`pis mb jifffidurcäòbs gãs`jcs , hcgr`jcmis pbec WIAN. Fc tcgbec @ cprbsbftcnis cs jcrcjtbrîst`jcs tàjf`jcs rbhbrbftbs ì sàr`b WN mb rbmbs rbs`st`vcs.

H`durc 87 - Cspbjti hîs`ji mb un vcr`stir b sbu sîngiei.


3=


H`durc 8: - ]`pis mb jifffidurcäòbs gãs`jcs mb Wbmbs Wbs`st`vcs mc W\AN.


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Xceirbs Firnce`zcmis mb Wbs`stirbs Zb i ceufi hir prijurcr fi jinàrjì un rbs`stir qub tbfac vceir mb 72:2Π (pcrc qucequbr qub sboc c tiebrçfj`c), jbrtcnbftb fêi bfjiftrcrã, pi`s cs hãgr`jcs sinbftb jifstribn sbus rbs`stirbs pcrc mbtbrn`fcmis vceirbs, vceirbs, qub sêi jacncmis mb pcmrif`zcmis iu firnce`zcmis b qub fêi `fjeubn i j`tcmi. Is vceirbs pcmrif`zcmis pbec B@C (Cssij`cäêi mb @fmÿstr`cs Bebtrýf`jcs) firtb-cnbr`jcfc b qub bstêi sbfmi sbdu`mis pbecs `fmÿstr`cs fcjìfc`s sêi is i s `fm`jcmis fc tcgbec @.

c) \crc Wbs`stirbs jin 3<% mb ]iebrçfj`c Is vceirbs pcmrif`zcmis pcrc rbs`stirbs juoc tiebrçfj`c sboc mb 3<% sêi? 3<Π, 37Π, 32Π, 31Π, 31Π , 77Π, 74Π, ::Π, :0 Π, =4Π, 28Π, 87Π, 17Π, b timis is nÿet`peis mbssbs vceirbs , ctà i 77 NΠ. Ctucenbftb rbs`stirbs jin bstb vceir mb tiebrçfj`c bstêi jc`fmi bn mbsusi, fêi sbfmi nc`s hcgr`jcmis pir `fÿnbrcs bnprbscs, ncs pimbfmi, c`fmc, sbrbn bfjiftrcmis bn cft`dis cpcrbeais bebtrýf`jis.

g) \crc Wbs`stirbs jin 2% mb ]iebrçfj`c \crc bssc tiebrçfj`c, is vceirbs pcmrif`zcmis sêi? 3<Π, 33Π, 37Π, 3:Π, 32Π, 38Π, 31Π, 7<Π, 77Π, 7=Π, 74Π, :<Π, ::Π, :8Π, :0Π, =:Π, =4Π, 23Π, 28Π, 87Π, 81Π, 42Π, 17Π, 03Π, b timis is nÿet`peis mbssbs vceirbs ctà 77 NΠ. Jursi mb Ncfutbfäêi b Wbpcri mb Jbeuecr - Cpistèc <7

38


j) \crc Wbs`stirbs jin ]iebrçfj`c @fhbrìr c 2% \imbnis jifs`mbrcr jini vceirbs pcmrif`zcmis is nbsnis oã j`tcmis pcrc c tiebrêfj`c mb 2%. Jifvàn hr`scr qub rbs`stirbs cgc`xi mbstc tiebrçfj`c sêi jifabj`mis jini ―Wbs`stirbs ―Wbs`stirbs mb prbj`sêi„ b pissubn tiebrçfj`cs mb 7% b 3% (nu`tcs vbzbs c tiebrçfj`c à `fhbrìr c bstc, pimbfmi jabdcr c <,3% iu nbfis). Ceàn mb pissu`r bn sbu jirpi 2 hc`xcs jiei r`mcs pcrc bxprbsscr sbu vceir, ci `fvàs mb cpbfcs = hc`xcs, i rbs`stir jin tiebrçfj`c mb 3% à firncenbftb jifstruîmi c pcrt`r mb pbeîjuec nbtãe`jc, i qub eab dcrcftb unc cetc jiffficgè`mcmb.

@mbft`ffijcäêi mb Wbs`stirbs @mbft`ffijcr un rbs`stir jifs`stb bn mbtbrn`fcr i vceir mb suc rbs`stïfj`c bn ians, mb suc tiebrçfj`c b, bvbftucenbftb , mb suc pitïfj`c fin`fce mb m`ss`pcäêi. C `mbft`ffijcäêi mi vceir ýan`ji mi rbs`stir à hb`tc `ftbrprbtcfmi-sb júm`dis, jini vbrbnis c sbdu`r. Bx`st`cn mi`s júm`dis qub brcn uf`vbrscenbftb cjb`tis, sbfmi un mbebs jifabj`mi jini júm`di buripbu, iu \aè`ps, b i iutri jini júm`di cnbr`jcfi. Bn fissi pcîs, cs hãgr`jcs mb rbs`stirbs utè`zcvcn is mi`s. Ctucenbftb cpbfcs i júm`di cnbr`jcfi à bnprbdcmi.

Júm`di Cnbr`jcfi Zbdufmi bssb júm`di, is rbs`stirbs sêi `mbft`ffijcmis pbecs jirbs bstcnpcmcs bn sbu jirpi. C jcmc jir jirrbspifmb un fÿnbri qub, jirrbtcnbftb `ftbrprbtcmi, pbrn`tb mbtbrn`fcr i vceir fin`fce mi rbs`stir, rbs`stir, css`n jini suc tiebrçfj`c. Fc tcgbec @@, cprbsbftcnis cs jirbs bsjiea`mcs b is fÿnbris qub becs rbprbsbftcn.

Júm`di Cnbr`jcfi pcrc Wbs`stirbs Fc `mbft`ffijcäêi mbssb t`pi mb rbs`stir, tcngàn sêi utè`zcmcs cs nbsncs jirbs qub `fm`jcnis fc tcgbec @@, jin is nbsnis s`df`ffijcmis ifmb cs jirbs `mbft`ffijcmircs sêi p`ftcmcs bn cfà`s, bn sbu @fst`tuti Rf`vbrsce Grcsèb`ri

34


jirpi, b pissubn un s`df`ffijcmi prúprì, jini nistrcnis fc ffidurc 8=.

H`durc 8= - @mbft`ffijcäêi pbei júm`di mb jirbs.

Fbssb t`pi mb rbs`stir, sêi p`ftcmis = cfà`s jieir`mis , s`tucmis nc`s prúx`ni mb uncs mcs bxtrbn`mcmbs mi rbs`stir. C eb`turc mbvb sbr hb`tc c pcrt`r mi cfbe nc`s prúx`ni mc bxtrbn`mcmb. Is s`df`ffijcmis mis cfà`s sêi is sbdu`ftbs? sbdu`ftbs? 3¿ cfbe - 3¿ cedcr`sni 7¿ cfbe - 7¿ cedcr`sni :¿ cfbe - nuet`pe`jcmir =¿ cfbe - tiebrçfj`c Mbvbnis igsbrvcr qub i qucrti cfbe jinunbftb sú tbn cs jirbs iuri iu prctc, qub `fm`jcrêi tiebrçfj`c mb 7<%. Bn rbs`stirbs bspbj`c`s jin tiebrçfj`c mb 3% iu 7%, c qucrtc hc`xc sbrã ncrrin iu vbrnbeac, rbspbjt`vcnbftb rbspbjt`vcnbftb.. Firncenbftb is rbs`stirbs mb prbj`sêi jin tiebrçfj`c mb 3% cprbsbftcn 2 hc`xcs, jini nistrcmi fc ffidurc 82, b suc eb`turc mbvb sbr hb`tc tcngàn jin i cuxîeì mc tcgbec @@, sbfmi qub i s`df`ffijcmi mis cfà`s sêi is sbdu`ftbs?

H`durc 82 - @mbft`ffijcäêi mb un rbs`stir mb 2 hc`xcs pbei júm`di mb jirbs.

3¿ cfbe - 3¿ cedcr`sni 7¿ cfbe - 7¿ cedcr`sni :¿ cfbe - :¿ cedcr`sni =¿ cfbe - nuet`pe`jcmir 2¿ cfbe - tiebrçfj`c Mcrbnis , cdirc, unc sàr`b mb bxbnpeis beuj`mct`vis. I ceufi mbvb cjistuncr-sb c `ftbrprbtcr jin mbsbfvieturc bssb júm`di, pirqub ctucenbftb beb à i ÿf`ji utè`zcmi pbeis hcgr`jcftbs.

Bxbnpei 3¿) Xcnis `mbft`ffijcr un rbs`stir qub cprbsbftc is sbdu`ftbs cfà`s jieir`mis, jini nistrcmi fc ffidurc 88?

H`durc 88 - Wbs`stir mb 3 KΠ. Jursi mb Ncfutbfäêi b Wbpcri mb Jbeuecr - Cpistèc <7

31


3¿ cfbe - ncrrin 7¿ cfbe - prbti :¿ cfbe - vbrnbeai =¿ cfbe - miurcmi

Zieuäòbs? Jifsuetcfmi c tbgbec @@, tbnis qub i pr`nb`ri cedcr`sni à 3, pirqub i pr`nb`ri cfbe à ncrrin, i sbdufmi cedcr`sni à < (zbri), pirqub i sbdufmi cfbe à prbti. I nuet`pe`jcmir à 3<< (jbn), pirqub i tbrjb`ri tbrjb`r i cfbe à vbrnbeai. H`fcenbftb, H`fcenbftb, c tiebrçfj`c à mb 2%, pirqub i qucrti qucr ti cfbe à miurcmi. Css`n, c `mbft`ffijcäêi mbssb rbs`stir à 3<<<Π iu 3 KΠ b 2% mb tiebrçfj`c.

7¿) Xcnis `mbft`ffijcr i rbs`stir qub cprbsbftc = cfà`s, jin cs jirbs, nistrcmcs fc ffidurc 84?

H`durc 84 - Wbs`stir mb 3< KΠ.

3¿ cfbe - ncrrin 7¿ cfbe - prbti :¿ cfbe - ecrcfoc =¿ cfbe - miurcmi

Zieuäêi? C `mbft`ffijcäêi mb tce rbs`stir à? 3<.<<< Π b 2% mb tiebrçfj`c. Mb hcti, sbfmi ncrrin i pr`nb`ri cfbe, à un i pr`nb`ri cedcr`sni, c jir prbtc mi sbdufmi cfbe `fm`jc qub à < i sbdufmi cedcr`sni. I tbrjb`ri cfbe, sbfmi ecrcfoc, nistrc qub i nuet`pe`jcmir à 3<<< b, ffifcenbftb, c jir miurcmc mi qucrti cfbe `fm`jc qub à mb 2% c tiebrçfj`c.

:¿) Xcnis `mbft`ffijcr i rbs`stir mc ffidurc 81 jin is sbdu`ftbs cfà`s jieir`mis?

H`durc 81 - Wbs`stir mb 77< Π. @fst`tuti Rf`vbrsce Grcsèb`ri

30


3¿ cfbe - vbrnbeai 7¿ cfbe - vbrnbeai :¿ cfbe - ncrrin =¿ cfbe - miurcmi

Zieuäêi? I pr`nb`ri cedcr`sni à 7, pirqub i pr`nb`ri cfbe à vbrnbeai. I sbdufmi cedcr`sni à 7, pirqub i sbdufmi cfbe à vbrnbeai. I nuet`pe`jcmir à 3<, pi`s i tbrjb`ri cfbe à ncrrin. C tiebrçfj`c à mb 2%; eidi, c `mbft`ffijcäêi mi rbs`stir à? 7<<Π b 2% mb tiebrêfj`c.

=¿) Xcnis `mbft`ffijcr i rbs`stir mc ffidurc 80, jin is sbdu`ftbs cfà`s jieir`mis?

H`durc 80 - Wbs`stir mb :0< Π.

3¿ cfbe - ecrcfoc 7¿ cfbe - grcfji :¿ cfbe - prbti =¿ cfbe - prbti 2¿ cfbe - ncrrin

Zieuäêi? I pr`nb`ri cfbe `fm`jc qub i pr`nb`ri cedcr`sni à :, pi`s à ecrcfoc. I sbdufmi cedcr`sni à 0 (fivb), pirqub i sbdufmi cfbe à grcfji. I tbrjb`ri cedcr`sni à <, pirqub i tbrjbì cfbe à prbti; i nuet`pe`jcmir à 3, pi`s i cfbe jirrbspifmb à prbti b, ffifcenbftb, c tiebrçfj`c à mb 3%, pi`s c 2ª hc`xc à ncrrin. Css`n sbfmi, c `mbft`ffijcäêi mi rbs`stir à? :0<Π jin tiebrçfj`c mb 3%.

2¿) Xcnis `mbft`ffijcr i rbs`stir mc ffidurc 4<, jin cs sbdu`ftbs jirbs?

H`durc 4< - Wbs`stir mb 3,7: Π. Jursi mb Ncfutbfäêi b Wbpcri mb Jbeuecr - Cpistèc <7

7<


3¿ cfbe - ncrrin ncrrin 7¿ cfbe - vbrnbeai :¿ cfbe - ecrcfoc =¿ cfbe - cncrbei 2¿ cfbe - vbrnbeai

Zieuäêi? I vceir mb tce rbs`stir à mb 3.7:<.<<<Π iu 3,7: NΠ, jin tiebrçfj`c mb 7%. Mb hcti, sbfmi ncrrin i pr`nb`ri cfbe à 3 i pr`nb`ri cedcr`sni; sbfmi vbrnbeai i sbdufmi cfbe, à 7 i sbdufmi cedcr`sni b, jifsbqubftbnbftb, jifsbqubftbnbf tb, sbfmi ecrcfoc i tbrjb`ri cfbe, à : i tbrjb`ri cedcr`sni. I nuet`pe`jcmir à 3<.<<<, pirqub i qucrti cfbe à cncrbei. H`fcenbftb, H`fcenbftb, c tiebrçfj`c à mb 7%, pi`s i 2¿ cfbe à vbrnbeai.

ZC@GC NC@Z I rbs`stir à un mis jinpifbftbs nc`s utè`zcmis fis j`rju`tis j`rju`tis mb bebtrýf`jc b, pirtcfti, i ceufi mbvb bstcr gcstcftb hcnè`cr`zcmi jin i júm`di mb jirbs, pcrc qub pissc `mbft`ffijã-ei rcp`mcnbftb b sbn m`ffijuemcmb. Is bxbnpeis cqu` nistrcmis mbvbn nbrbjbr gcstcftb ctbfäêi, css`n jini c prãt`jc bhbt`vc qub mbvb sbr hb`tc jin bssb jinpifbftb.

Wbs`stirbs ZNM C eb`turc mis rbs`stirbs ZNM à gbn nc`s hãjè qub mis mbnc`s, vboc bssbs bxbnpeis?

8¼) Xcnis `mbft`ffijcr i rbs`stir mc ffidurc 43 jin is mcmis?

H`durc 43 - Wbs`stir ZNM.

C eb`turc s`df`ffijc? 3, sbdu`mi mi <, nc`s i nuet`pe`jcmir, fi jcsi 7, qub s`df`ffijc nuet`pe`jcr pir 3<< (fitb qub tbnis mi`s zbris); i rbsuetcmi mc eb`turc sbrã un rbs`stir mb 3 3<<<Π, iu 3kΠ. C tiebrçfj`c à mb 2%. @fst`tuti Rf`vbrsce Grcsèb`ri

73


4¼) Xcnis `mbft`ffijcr i rbs`stir mc ffidurc 47 jin is mcmis?

H`durc 47 - Wbs`stir ZNM.

C eb`turc s`df`ffijc? 7, sbdu`mi mi 2, sbdu`mi mi 3 nc`s i nuet`pe`jcmir, fi jcsi 7 qub s`df`ffijc nuet`pe`jcr pir 3<< (fitb qub tbnis mi`s zbris), i rbsuetcmi mc eb`turc sbrã un rbs`stir mb 723 x 3<< > 723<<Π, iu 72,3k Π. C tiebrçfj`c à mb 2%. Xboc c tcgbec c sbdu`r. Xboc is nimbeis b is tcncfais mis rbs`stirbs ZNM.

H`durc 4: - ]cncfais mis rbs`stirbs ZNM.

JcrJursi mb Ncfutbfäêi b Wbpcri mb Jbeuecr - Cpistèc <7

dc Beàtr`jc b Jcpcj`tirbs 77


\CWC WBHEB]@W \crc rbsun`r bstb jcpîtuei, pimbnis cffirncr qub c rbs`stïfj`c beàtr`jc mb un jirpi mbpbfmb mb trïs hctirbs, iu sboc? c) mb sucs m`nbfsòbs, `sti à, mb suc sbjäêi rbtc b sbu jinpr`nbfti; g) mi nctbr`ce mb qub à jifstruîmi i jifmutir - bstc mbpbfmïfj`c à `fm`jcmc pbec rbs`st`v`mcmb mi nctbr`ce; j) mc tbnpbrcturc bn qub i jirpi sb bfjiftrc. H`fcenbftb,, mbvbnis bsjecrbjbr qub c drcfmbzc `fvbrsc mc rbs`stïfj`c rbjbgb i finb H`fcenbftb mb jifmutçfj`c. C uf`mcmb mb nbm`mc mc jifmutçfj`c à tcngàn i `fvbrsi mi ian, iu sboc, i nai (ian bsjr`ti trãs pcrc m`cftb) b sbus nÿet`peis b sugnÿet`peis. Ci nai tcngàn sb ctr`gu` i finb mb Z@BNBFZ, rbprbsbftcfmi-i pbec ebtrc Z.

Jcrdc Beàtr`jc C Jcrdc Beàtr`jc Ctà i ninbfti tbnis jifs`mbrcmi c jcrdc beàtr`jc s`npebsnbftb jini un pirtcmir mb bebtr`j`mcmb, sbn fcmc cjrbsjbftcr sigrb c suc fcturbzc. Xcnis, Xcnis, cdirc, bstumcr c jcrdc beàtr`jc jin un piuqu`fai nc`s mb prihufm`mcmb, oã qub bec `ftbrvàn bn timis is hbfýnbfis mc Bebtrýf`jc. I ceufi mbvb jinprbbfmbr gbn i qub vcnis bxpir, pi`s c bxpe`jcäêi mb timis is hbfýnbfis beàtr`jis, mbsmb unc jifabj`mîss`nc mbsjcrdc ctnishàr`jc (rcìs) ctà i nc`s jinpe`jcmi s`stbnc mb jinuf`jcäêi mis sctàe`tbs crt`ffij`c`s, à mcmc c pcrt`r mc jcrdc beàtr`jc.

]`pis mb Bebtr`j`mcmb Xcnis tincr un pbmcäi mb ffii `siecftb, un ffii mb sbmc, pir bxbnpei. Cncrrcrbnis c unc mb sucs bxtrbn`mcmbs un pbmcj`fai mb nctbr`ce gbn ebvb, pir bxbnpei nbmuec (pcrtb mi nbì) mb un scgudi sbji, pcpbe, `sipir, btj. C iutrc bxtrbn`mcmb mi ffii mbvb sbr prbsc c unc acstb qucequbr, qucequbr, mb nimi qub i ffii ffiqub pbfmurcmi b fêi bfjistb bn fcmc. Zb c acstb hir jifstruîmc jini sudbr`nis fc ffidurc 4=, tbrbnis i qub sb jacnc mb pïfmuei beàtr`ji.

H`durc 4= - \ïfmuei Beàtr`ji. @fst`tuti Rf`vbrsce Grcsèb`ri

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Zb i ceufi fêi qu`sbr jifstru`r i pïfmuei jini i mc ffidurc 4=, pimbrã pir bxbnpei, prbfmbr i ffii `siecftb fc gb`rcmc mb unc nbsc, jin un pbmcäi mb ffitc cmbs`vc (murbx), jini nistrcnis fc ffidurc 42.

H`durc 42 - \ïfmuei Beàtr`ji utè`zcfmi-sb unc nbsc.

@ssi hb`ti, tbnis i fissi pïfmuei bn jifm`äòbs mb sbr utè`zcmi pcrc mbnifstrcr is t`pis pissîvb`s mb bebtr`j`mcmb. À i qub hcrbnis jin cs sbdu`ftbs bxpbr`ïfj`cs? ]inbnis inbnis un pbmcäi mb ﬇cfbec, un pbftb peãst`ji b un gcstêi mb v`mri, mbssbs utè`zcmis bn 3¿) ] hcrnãj`cs, pcrc n`sturcr rbnàmìs. Cdirc, ctr`tb, iu sboc, bshrbdub i pbftb fc ﬇cfbec iu fi jcgbei jini nistrc fc ffidurc 48. Cpús `sti, cprix`nb i pbftb mc gie`fac mb `sipir. Igsbrvb qub i pbftb ctrc` c gie`fac mb `sipir jini èustrc c ffidurc 44. Mbvbnis tincr ju`mcmi mb fêi mb`xcr qub bec tiqub fi pbftb.

H`durc 48 - Bshrbdcfmi i pbftb fi jcgbei.

H`durc 44 - \bftb ctrc`fmi i `sipir.

Cdirc, hcäc c nbsnc bxpbr`ïfj`c jin i gcstêi mb v`mri, iu sboc, ctr`tb-i jin c ﬇cfbec, jini nistrc c ffidurc 41, b cprix`nb mc gie`fac mb `sipir. Igsbrvcnis i nbsni hbfýnbfi cftbrìr, `sti Jursi mb Ncfutbfäêi b Wbpcri mb Jbeuecr - Cpistèc <7

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à, c gie`fac tcngàn sbrã ctrcîmc , jini nistrc c ffidurc 40.

H`durc 40 - @sipir sbfmi ctrcîmi pbei gcstêi mb v`mri.

H`durc 41 - Ctr`tcfmi i gcstêi mb v`mri fc ﬇cfbec.

\crc ffijcr nc`s jinpebtc bstc pr`nb`rc bxpbr`ïfj`c, crrcfob tcngàn un gcstêi mb nbtce, qub pimb sbr un pbmcäi mb hbrri rbmifmi, rbmifmi, un pbmcäi mb ffii mb jigrb drissi, btj. Jini ffizbnis jin i pbftb b i gcstêi mb v`mri, ctr`tb i gcstêi nbtãe`ji jin c ﬇cfbec mc nbsnc ncfb`rc qub fc ffidurc 1< b i cprix`nb mc gie`fac mb fissi pïfmuei.

H`durc 1< - Ctr`tcfmi i gcstêi mb hbrri jin c ﬇cfbec.

Xcnis fitcr qub c gie`fac pbrncfbjb bn suc pis`äêi, `sti à, fêi à ctrcîmc pbei nbtce, jini sb vï fc ffidurc 13.

H`durc 13 - @sipir fêi à ctrcîmi pbei gcstêi mb hbrri.

Mbstc pr`nb`rc bxpbr`ïfj`c pimbnis t`rcr trïs jifjeusòbs? bebtr`j`mcmb, qucfmi ctr`tcmis jin ﬇cfbec. c) I gcstêi mb v`mri b i mb peãst`ji (pbftb) cmqu`rbn bebtr`j`mcmb, g) I gcstêi nbtãe`ji fêi cmqu`rb bebtr`j`mcmb. j) C bebtr`j`mcmb mis gcstòbs mb v`mri b mb peãst`ji (pbftb) mbvb sbr c nbsnc, `sti à, mb nbsni t`pi, pirqub primuz`rcn fc gie`fac mb `sipir i nbsni bhb`ti, iu sboc, cngis ctrcîrcn c gie`fac mc nbsnc ncfb`rc. Bstcs trïs jifjeusòbs, cpcrbftbnbftb eúd`jcs, fêi sêi timcs vbrmcmb`rcs, jini vbrbnis jin cs @fst`tuti Rf`vbrsce Grcsèb`ri

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iutrcs bxpbr`ïfj`cs. 7ª) Ctr`tb i gcstêi mb v`mri b i cprix`nb mc gie`fac mb `sipir, ncs, cdirc, mb`xb qub c gie`fac tiqub fi gcstêi, jini fc ffidurc 17. Igsbrvb, bftêi, qub c gie`fac, cpús tijcr fi gcstêi mb v`mri, chcstc-sb mi gcstêi, `duce ì ffidurc 1:.

H`durc 17 - @sipir tijcfmi fi gcstêi mb v`mri.

H`durc 1: - @sipir sbfmi rbpbe`mi pbei gcstêi mb v`mri.

@sti pisti, tiqub c gie`fac jin c nêi, jini èustrc c ffidurc 1=.

H`durc 1= - ]ijcfmi fc gie`fac mb `sipir jin c nêi.

Hcäc cdirc cdirc c nbsnc ji`sc, ncs jin jin i pbftb, iu sboc, ctr`tb-i ctr`tb-i b i cprix`nb mc gie`fac gie`fac b mb`xb qub bec i tiqub, `duce ì ffidurc 12. Igsbrvb c nbsnc ji`sc qub cjiftbjbu jin i gcstêi mb v`mri, `sti à, cpús tijcr fi pbftb, c gie`fac à fivcnbftb rbpbe`mc, rbpbe`mc, jini nistrc fc ffidurc 18.

H`durc 12 - @sipir tijcfmi fi pbftb.

p bftb. H`durc 18 - @sipir sbfmi rbpbe`mi pbei pbftb.

Bstc sbdufmc bxpbr`ïfj`c pcrbjb jifh`rncr c jifjeusêi mc cftbrìr, iu sboc, qub i t`pi mb bebtr`j`mcmb mis mi`s gcstòbs à i nbsni. Bftrbtcfti, `ssi fêi à vbrmcmb, jini mbnifstrcrbnis jin c tbrjb`rc bxpbr`ïfj`c. :ª) Bfjistcrbnis, fivcnbftb, c nêi fc gie`fac. Cdirc, cprix`nb mbec i gcstêi mb v`mri, Jursi mb Ncfutbfäêi b Wbpcri mb Jbeuecr - Cpistèc <7

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prbv`cnbftb ctr`tcmi, b mb`xb qub c gie`fac tiqub fbeb. Bec sbrã rbpbe`mc. Bn sbdu`mc, cprix`nb i gcstêi mb peãst`ji, iu sboc, i pbftb, tcngàn prbv`cnbftb ctr`tcmi. Fitb qub c gie`fac, qub hi` rbpbe`mc pbei gcstêi mb v`mri, à ctrcîmc pbei pbftb. Bftêi, pimbnis t`rcr unc jifjeusêi mbffif`t`vc b vbrmcmb`rcc mb qub c bebtr`j`mcmb mi gcstêi mb v`mri à m`hrbrbftb mc bebtr`j`mcmb mi gcstêi peãst`ji. vbrmcmb`r C bebtr`j`mcmb mi gcstêi mb v`mri à jacncmc mb bebtr`j`mcmb vîtrbc b jifvbfjìfiu-sb qub bec à pis`t`vc. C bebtr`j`mcmb mi gcstêi mb peãst`ji (mi pbftb, bn fissc bxpbr`ïfj`c) à jacncmc mb bebtr`j`mcmb rbs`fisc b, jifvbfjìfcenbftb mb fbdct`vc.

Eb`s mb Ctrcäêi b Wbpuesêi \rissbdu`fmi bn fisscs bxpbr`ïfj`cs, vcnis, cdirc, jifstru`r mi`s pïfmueis beàtr`jis. Hb`ti `sti, ctr`tb i pbftb jin c ﬇cfbec b i cprix`nb mcs gie`facs mis mi`s pïfmueis, tijcfmi-cs jin i pbftb. Cdirc, cprix`nb bftrb s` is mi`s pïfmueis. Xcnis Xcnis vbr`ffijcr qub cs mucs gie`facs sb chcstcn ffidurc 14.

H`durc 14 - Jcrdcs beàtr`jcs `duc`s rbpbebn-sb.

Bn sbdu`mc, tijcnis jin c nêi fcs mucs gie`facs b rbpbt`nis c bxpbr`ïfj`c cftbrìr, cftbrìr, ncs jin i gcstêi mb v`mri prbv`cnbftb ctr`tcmi. ctr`tcmi. Igsbrvcnis i nbsni bhb`ti, iu sboc, cs gie`facs sb chcstcn. Mbstc prãt`jc pimbnis t`rcr c jifjeusêi qub jifst`tu` c pr`nb`rc eb`? Jcrdcs beàtr`jcs `duc`s rbpbebn-sb \ir jcrdcs beàtr`jcs `duc`s i ceufi mbvb bftbfmbr cqubecs qub tïn i nbsni s`fce, iu sboc, timcs pis`t`vcs iu timcs fbdct`vcs. ]inb cdirc is mi`s pïfmueis jin cs gie`facs mbsjcrrbdcmcs pbei tiqub mcs nêis, b c un mbebs cprix`nb i gcstêi mb v`mri, prbv`cnbftb ctr`tcmi, pbrn`t`fmi qub c gie`fac tiqub fbeb. Cprix`nb mi iutri i pbftb tcngàn ctr`tcmi b mb`xb qub c gie`fac i tiqub. Cpús `sti, cprix`ncfmi bftrb s` is mi`s pïfmueis, igsbrvcnis qub cs gie`facs, cdirc, sb cprix`ncn, jini fc ffidurc 11. Mcî rbsuetc c sbdufmc eb`?

H`durc 11 - Jcrdcs beàtr`jcs m`hbrbftbs ctrcbn-sb.

Jcrdcs beàtr`jcs m`hbrbftb m`hbrbftbss ctrcbn-sb \ir jcrdcs beàtr`jcs m`hbrbftbs mbvb-sb bftbfmbr cqubecs qub tïn s`fc`s jiftrãrìs, `sti à, pis`t`vcs b fbdct`vcs. @fst`tuti Rf`vbrsce Grcsèb`ri

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Jirpis Fbutris b Bebtr`zcmis Ctà i ninbfti tbnis hcecmi bxcust`vcnbftb bn jcrdcs beàtr`jcs, ncs fêi bxpe`jcnis c`fmc i qub à rbcenbftb c jcrdc beàtr`jc. Zbr`c c gie`fac mb `sipir, mb fisscs bxpbr`ïfj`cs , unc jcrdc beàtr`jc9 C rbspistc à fêi. C gie`fac à s`npebsnbftb un jirpi ci quce jifhbr`nis jcrdcs beàtr`jcs, iu sboc, un jirpi qub fús bebtr`zcnis. Cftbs mb sbr bebtr`zcmi, beb bstcvc bn bstcmi fbutri, `sti à, sbn jcrdc.

Fcturbzc mc Jcrdc Beàtr`jc Zcgb-sb qub timi jirpi à jifst`tuîmi mb n`fÿsjuecs pcrtbs, qub sêi jacncmcs mb nieàjuecs. Css`n, i pcpbe mbstc e`äêi, i eãp`s, i hbrri, bfffin tumi i qub ijupc eudcr fi bspcäi à hirncmi mb nieàjuecs. Bstcs, pir suc vbz, sêi hirncmcs mb pcrtbs nbfirbs c`fmc, qub sêi is ãtinis. ]cngàn ]cngàn is ãtinis sêi hirncmis mb pbqubfcs pcrtîjuecs. Mbsscs, cs nc`s `npirtcftbs pcrc i fissi bstumi sêi? i beàtrif, i prútif b i fïutrif. I beàtrif à c pcrtîjuec mi ãtini qub tbn jcrdc beàtr`jc fbdct`vc, i prútif tbn jcrdc pis`t`vc b i fïutrif fêi tbn jcrdc. C pcrt`juecr`mcmb mi ãtini à qub beb à unc bstruturc vcz`c, iu sboc, tbn unc pcrtb jbftrce, qub sb jacnc fÿjebi, ifmb bstêi s`tucmis is fïutrifs b is prútifs, b tbn is beàtrifs d`rcfmi bn vietc mbssb fÿjebi, c drcfmb m`stçfj`c, rbect`vcnbftb ci sbu tcncfai. \imbrîcnis, pcrc ffixcr `mà`cs, jinpcrcr i ãtini jin un s`stbnc pecfbtãrì. I jcn`fai qub is beàtrifs mbsjrbvbn bn vietc mi fÿjebi à jacncmi mb úrg`tc. ú rg`tc. I qub m`hbrbfj`c un ãtini mis iutris à i fÿnbri mb beàtrifs, b jifsbqubftbnbftb, mb prútifs b mb fïutrifs qub beb pissu`. I ãtini mb hbrri, pir bxbnpei, à hirncmi pbecs nbsncs pcrtîjuecs pcr tîjuecs qub i ãtini mb jcrgifi (jcrvêi); bftrbtcfti, bssbs mi`s bebnbftis sêi titcenbftb m`hbrbftbs fcs sucs pripr`bmcmbs hîs`jcs, pirqub i fÿnbri mb pcrtîjuecs à m`hbrbftb m`hbrbftb.. Sucfmi i ãtini tbn gcstcftb beàtrifs, bstbs sb m`spòbn bn jcncmcs bn vietc mi fÿjebi. Bsscs jcncmcs tïn un fÿnbri jbrti b mbtbrn`fcmi mb beàtrifs. Fc ffidurc 10, rbprbsbftcnis un ãtini jin : beàtrifs, : prútifs, : fïutrifs b 7 jcncmcs.

H`durc 10 - Ãtini.

Mbstc `ftrimuäêi b mi qub oã scgbnis mcs bxpbr`ïfj`cs jin i pïfmuei beàtr`ji, pimbnis t`rcr cs sbdu`ftbs jifjeusòbs? 3ª) Jini i fÿnbri mb beàtrifs mi ãtini à `duce ci fÿnbri mb prútifs, i ãtini à bebtr`jcnbftb fbutri, `sti à, fêi à bebtr`zcmi. 7ª) Jini beàtrifs b pritúfs bx`stbn bn `duce fÿnbri b tïn jcrdcs beàtr`jcs mb s`fc`s jiftrãrìs, Jursi mb Ncfutbfäêi b Wbpcri mb Jbeuecr - Cpistèc <7

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aã ctrcäêi bftrb bebs. bftrb prútifs b beàtrifs mbpbfmb mbpbfmb mc pis`äêi mc jcncmc fc quce i beàtrif :ª) C hiräc mb ctrcäêi bftrb sb bfjiftrc. Css`n, is beàtrifs mc jcncmc nc`s chcstcmc mi fÿjebi bstêi nc`s hrcjcnbftb e`dcmis c beb. Bstb mbtceab à gcstcftb `npirtcftb, jini vbrbnis nc`s tcrmb. \crc jinpebtcr bstcs rãp`mcs fiäòbs sigrb is ãtinis, pimbnis sce`bftcr qub? c) C m`stçfj`c bftrb i fÿjebi b unc jcncmc mb beàtrifs à nu`ti drcfmb. \crc qub i ceufi tbfac unc `mb`c mbssc m`stçfj`c, m`rbnis qub, sb i fÿjebi pumbssb tbr i tcncfai mb unc giec mb p`fdub-pifdub, i beàtrif mbvbr`c bstcr c cjbrjc mb 32 quèýnbtris mi fÿjebi b mbvbr`c sbr nu`ti nbfir qub unc jcgbäc mb ceffifbtb. Fitb qub bstc jinpcrcäêi à hb`tc cpbfcs pcrc qub sb tbfac unc `mb`c mb quêi m`stcftb bstã i beàtrif mi fÿjebi b quêi m`hbrbftbs bebs sêi bn m`nbfsòbs. Fc rbce`mcmb, i ãtini à têi pbqubfi qub sêi fbjbssãrìs nu`tis b nu`tis trèaòbs mbebs pcrc bfjabr un mbmce. g) I beàtrif à gbn nc`s ebvb qub i prútif, nc`s prbj`scnbftb jbrjc mb nè b i`tijbftcs vbzbs.

Bxpe`jcäêi mis Hbfýnbfis Beàtr`jis Mb pissb mb ceduncs fiäòbs sigrb ãtini, pimbnis bxpe`jcr, mb ncfb`rc jirrbtc, is hbfýnbfis igsbrvcmis fcs bxpbr`ïfj`cs jin i pïfmuei beàtr`ji.

C Bebtr`zcäêi mis Gcstòbs Jinbjbnis pbei v`mri. Bssb gcstêi, bv`mbftbnbftb, à hirncmi pir un fÿnbri `fjcejueãvbe mb ãtinis qub, pir suc vbz , tïn un fÿnbri nu`ti ncìr mb beàtrifs. \ir iutri ecmi, bn rczêi mb suc jifst`tu`äêi niebjuecr, bssbs beàtrifs bstêi hirtbnbftb prbsis cis ãtinis. Bn sbfmi css`n, qucfmi sb bshrbdc c ﬇cfbec fi gcstêi mb v`mri, bec, tbfmi sbus beàtrifs nc`s e`vrbs, pbrmb beàtrifs, is quc`s sb mbpis`tcn fi gcstêi mb v`mri. Mbstc ncfb`rc, i v`mri ffijc bebtr`zcmi b c ﬇cfbec tcngàn. M`zbnis qub i v`mri ffijiu jin bebtr`j`mcmb pis`t`vc b c ﬇cfbec, fbdct`vc. Zb ctr`tcrnis jin c ﬇cfbec i gcstêi mb rbs`fc, qub bn fisscs bxpbr`ïfj`cs à un pbftb peãst`ji, prbhbr`vbenbftb mb bgif`tb, igsbrvcrbnis i jiftrãrì mi jcsi cftbrìr, iu sboc, c ﬇cfbec, pir tbr sbus beàtrifs nc`s hirtbnbftb e`dcmis ci ãtini qub i gcstêi mb rbs`fc (pbftb), rbt`rc beàtrifs mi pbftb. Fbstcs j`rjuftçfj`cs, tcfti i pbftb jini c ﬇cfbec ffijcn bebtr`zcmis. Jin bstcs mucs bxpe`jcäòbs, i ceufi pimb jinprbbfmbr pirqub is mi`s gcstòbs tïn bebtr`j`mcmbs m`hbrbftbs, m`hbrbftbs, bngirc sbocn ctr`tcmis jin c nbsnc ﬇cfbec. B i qub mbtbrn`fc sb un jirpi bstã bebtr`zcmi iu fêi à i rinp`nbfti mb sbu bstcmi mb fbutrce`mcmb. Css`n, i gcstêi mb v`mri, gbn jini c ﬇cfbec, `f`j`cenbftb, bstêi bn bstcmi fbutri, `sti à, tïn c nbsnc qucft`mcmb mb beàtrifs, qub sêi cs jcrdcs beàtr`jcs fbdct`vcs, b mb prútifs, qub sêi cs jcrdcs pis`t`vcs. Sucfmi ctr`tcmis, `sti à, bshrbdcmis un jiftrc i iutri, rinpb-sb bssb bquèîgrì b c ﬇cfbec, qub tbn sbus beàtrifs nc`s hrcjcnbftb prbsis cis ãtinis, jbmb-sb ci v`mri. À `ftbrbsscftb fitcr qub c qucft`mcmb mb beàtrifs qub i v`mri dcfaiu à `duce ìqubec qub c ﬇cfbec pbrmbu. @sti à hãjè vbr`ffijcr, vbr`ffijcr, pi`s gcstc qub sb bfjistb i v`mri fc ﬇cfbec pcrc qub cngis rbtirfbn ci bstcmi fbutri.

C Ctrcäêi iu Wbpuesêi mc Gie`fac mb @sipir C gie`fac mb `sipir uscmc fi pïfmuei, mb `fîjì, bstã fi bstcmi fbutri, iu sboc, tbn nbsnc qucft`mcmb mb prútifs b beàtrifs. Sucfmi mbec sb cprix`nc un mis gcstòbs bebtr`zcmis, cjiftbjb i sbdu`ftb? cs jcrdcs beàtr`jcs mi gcstêi bebtr`zcmi rbpbebn cs jcrdcs beàtr`jcs mb nbsni s`fce mc gie`fac b ctrcbn cs mb s`fc`s jiftrãrìs, jini cprbfmbnis. \imbr`c pcrbjbr ci ceufi qub, sbfmi `duce i fÿnbri mb jcrdcs beàtr`jcs pis`t`vcs b fbdct`vcs fc gie`fac, c hiräc mb ctrcäêi hissb `duce c mb rbpuesêi b fêi mbvbssb acvbr niv`nbfti. @ssi fêi cjiftbjb, pirqub c qucft`mcmb mb jcrdc mb @fst`tuti Rf`vbrsce Grcsèb`ri

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un sú s`fce bx`stbftb fi gcstêi bebtr`zcmi à ncìr mi qub c bx`stbftb fc gie`fac b, pirtcfti, acvbrã ctrcäêi, `sti à, tbfmïfj`c mc gie`fac c cprix`ncr-sb mi gcstêi. @fs`st`fmi, c`fmc fbstb pifti, vcnis rbjirrbr c un bxbnpei funàr`ji. Zupifacnis qub c gie`fac tbfac 2 beàtrifs b 2 prútifs, pirtcfti, bstboc bn bstcmi fbutri. Cmn`tcnis qub, cpús ctr`tcmi, i gcstêi mb v`mri ffiqub jin 3< beàtrifs. Bftêi, qucfmi sb cprix`nc i gcstêi mc gie`fac, is 2 prútifs mbstc ÿet`nc sêi ctrcîmis pbeis 3< beàtrifs mi gcstêi. Jini 3< jcrdcs tïn nc`s hiräc mb ctrcäêi qub cs 2, c gie`fac cprix`nc-sb mi gcstêi. Fc ffidurc 0<, èustrcnis i bxbnpei.

H`durc 0< - Ctrcäêi mb mi`s jirpis jin jcrdcs beàtr`jcs m`hbrbftbs.

C Bebtr`zcäêi pir Jiftcti Nistrcnis qub c gie`fac, cpús tijcr fi gcstêi, à rbpbe`mc. Xbocnis pirqub. \crc ncìr hcjè`mcmb, vcnis jifs`mbrcr c`fmc, i bxbnpei funàr`ji mi `tbn cftbrìr. Mb`xbnis qub c gie`fac jin 2 jcrdcs fbdct`vcs b 2 pis`t`vcs bftrb bn jiftcti, iu sboc, tiqub fi gcstêi jin jcrdc fbdct`vc. Sucfmi `ssi sb mã, cs 2 jcrdcs pis`t`vcs mc gie`fac fbutrce`zcn-sb jin 2 fbdct`vcs mi gcstêi; pirtcfti, c gie`fac, qub brc fbutrc, pcssc c sbr fbdct`vc b, jini i gcstêi c`fmc à fbdct`vi, pirqub pissu` 2 jcrdcs fbdct`vcs, acvbrã rbpuesêi, jini hi` igsbrvcmi bn fisscs bxpbr`ïfj`cs. Jifvàn fitcr qub, sb i gcstêi hissb mb rbs`fc peãst`jc (pbftb, bn fissi bxbnpei), i bhb`ti sbr`c i nbsni, iu sboc, rbpuesêi mc gie`fac. Bftrbtcfti, cs jcrdcs fbdct`vcs mc gie`fac à qub sbr`cn fbutrce`zcmcs.

Jinbftãrì Zigrb c Mbfin`fcäêi mb Bebtr`j` Bebtr`j`mcmb mcmb \is`t`vc b Fbdct`vc Fús cffirncnis qub c bebtr`j`mcmb qub cpcrbjbu fi v`mri ctr`tcmi hi` jacncmc mb pis`t`vc b c mb rbs`fc, fbdct`vc. Bftrbtcfti, Bftrbtcfti, mcs bxpe`jcäòbs cftbrìrbs h`jiu jecri qub i v`mri ctr`tcmi h`jc jin bxjbssi mb beàtrifs, qub sêi jcrdcs fbdct`vcs. Eidi, à bv`mbftb qub c bebtr`j`mcmb mb v`mri à fbdct`vc, b fêi pis`t`vc. Jini bstb hcti hi` jinprivcmi nu`ti tbnpi mbpi`s mc mbsjigbrtc mc bebtr`j`mcmb pbeis sãgìs drbdis, jifsbrvcn-sb ctà aiob cs jecss`h`jcäòbs mcmcs pcrc bebtr`j`mcmb vîtrbc b c rbs`fisc, bngirc sb sc`gc qub bstêi trijcmcs.

C Jirrbftb Beàtr`jc Ctà cqu` tbnis cffirncmi, jifstcftbnbftb, qub c jirrbftb beàtr`jc à i niv`nbfti mcs jcrdcs beàtr`jcs. \imbnis cdirc, jin nu`ti nc`s pripr`bmcmb, cffirncr qub? c jirrbftb beàtr`jc à i niv`nbfti mis beàtrifs. Jirrbftb beàtr`jc > Beàtrifs bn niv`nbfti


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Zbft`mi mc Jirrbftb Beàtr`jc Jifvbfjìfce Jini sb jifvbfjìfiu qub c bebtr`j`mcmb mi v`mri à pis`t`vc, cmn`tù-sb qub cs jcrdcs beàtr`jcs (beàtrifs) sb niv`cn mi v`mri (pitbfj`ce nc`s ceti) pcrc c rbs`fc, iu sboc, mi pis`t`vi pcrc i fbdct`vi. Zbft`mi Jifvbfjìfce - mi pis`t`vi pcrc i fbdct`vi

Xbrmcmb`ri Mbpi`s mi qub v`nis, pbrjbgbnis qub i sbft`mi vbrmcmb`ri mi niv`nbfti mis beàtrifs à mi fbdct`vi pcrc i pis`t`vi. Zbft`mi Wbce - mi fbdct`vi pcrc i pis`t`vi.

Igsbrvcäêi? Jini i sbft`mi mc jirrbftb fêi cetbrc c sieuäêi prãt`jc mis prigebncs mb bebtr`j`mcmb, ctà aiob sb tbn ncft`mi i sbft`mi jifvbfjìfce; eidi, i ceufi ceu fi fêi mbvb bstrcfacr qucfmi, bn fissis j`rju`tis, `fm`jcrnis jini sbft`mi mc jirrbftb cqubeb qub vc` mi pis`t`vi pcrc fbdct`vi.

Cpe`jcäòbs \rãt`jcs mi Jifjb`ti mb Jcrdc Beàtr`jc ]imcs cs mbsjigbrtcs j`bftîffijcs sbnprb tïn cpe`jcäòbs prãt`jcs qub gbfbffij`cn c auncf`mcmb. Fi jcsi mc bebtr`j`mcmb, becs sêi `funbrãvb`s. C bxpe`jcäêi mis hbfýnbfis beàtr`jis jin gcsb fc tbir`c mis beàtrifs pbrn`tù un mbsbfviev`nbfti bfirnb mc j`ïfj`c beàtr`jc, jin cpe`jcäòbs prãt`jcs mcs nc`s rbebvcftbs, tc`s jini rãmì, ]X, rcmcr, btj. Jini bstumcrbnis ceduncs mbsscs cpe`jcäòbs jin mbtceabs, vcnis j`tcr, c sbdu`r, mucs utèîss`ncs, mb igsbrvcäêi igsbr vcäêi jirrbftb, qub, nbsni fêi sbfmi igobti mb fissi jursi, sêi bxbnpeis mc utè`mcmb mis jifjb`tis qub bstumcnis.

\ãrc-rcìs Bn jifsbqubfj`c mis mbse`zcnbftis bftrb jcncmcs mb fuvbfs, i qub cjiftbjb nc`s hrbqubftbnbftb fis prbfÿfjìs mb tbnpbstcmbs, becs sb jcrrbdcn hirtbnbftb mb bebtr`j`mcmb. Bftêi, sietcn `ftbfscs mbsjcrdcs, bftrb cs fuvbfs, mb bebtr`j`mcmb mb s`fc`s ipistis. Bsscs mbsjcrdcs sêi jifabj`mcs jini rcìs. C ncìr pcrtb mis rcìs scetcn mb unc fuvbn c iutrc b primuzbn unc eun`fis`mcmb qub jifabjbnis jini rbeçnpcdi. C mbsjcrdc primuz un drcfmb mbsprbfm`nbfti mb jceir, qub mèctc i cr b privijc i sin qub jacncnis mb trivêi. Sucfmi is rcìs cjiftbjbn bftrb c fuvbn b c tbrrc, tirfcn-sb `nbfscnbftb pbr`disis, mbv`mi ì bfirnb qucft`mcmb mb bebtr`j`mcmb qub sb bsjic. Rn nimi mb pritbäêi jiftrc is rcìs jifs`stb fc `fstcecäêi mb pãrc-rcìs ffidurc 03.

H`durc 03 - \ãrc-rcìs. @fst`tuti Rf`vbrsce Grcsèb`ri

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Bstbs sêi jifst`tuîmis mb gcrrcs mb nbtce mb piuji nc`s mb un nbtri, jieijcmcs fc pcrtb nc`s cetc mi bm`hîjì qub sb mbsboc pritbdbr, b e`dcmis ì tbrrc ctrcvàs mb jifmutirbs mb drcfmb m`çnbtri. m`çnbtri. Sucfmi unc fuvbn jin jcrdc pis`t`vc pcssc pbrti mi pãrc-rcì, cpcrbjbn fbeb jcrdcs beàtr`jcs mb s`fc`s jiftrãrìs cis mc fuvbn. Bftêi, c jcrdc mc fuvbn à ctrcîmc b mã-sb i rcì. Mbstc ncfb`rc, c fuvbn à ―mbsjcrrbdcmc„ pcrc c tbrrc b fêi primuz is jifabj`mis bhb`tis nceàffijis. À cjifsbeaãvbe, bn jcsi mb tbnpbstcmb, tincr jauvc ci `fvàs mb cgr`dcr-sb sig ãrvirbs nu`ti cetcs, pirqub bstcs ―ctrcbn„ i rcì.

M`str`gu`äêi mcs Jcrdcs Beàtr`jcs fis Jirpis Sucfmi sb jinuf`jcn jcrdcs beàtr`jcs c un jirpi, bsscs jcrdcs tïn tbfmïfj`c c ijupcr c ncìr ãrbc pissîvbe, qub à, bv`mbftbnbftb, c supbrhîj`b bxtbrfc. Css`n, sb bebtr`zcrnis unc jc`xc, mbftri mbec fêi acvbrã jcrdcs beàtr`jcs, ncs sinbftb pir pi r hirc. C bxpe`jcäêi m`ssi à c sbdu`ftb? ]imi ]imi jirpi bebtr`zcmi tbn jcrdcs sú mb nbsni s`fce? jcrdcs mb nbsni s`fce rbpbebn-sb; eidi, prijurcn m`stcfj`cr-sb bftrb s`, ijupcfmi c ncìr supbrhîj`b. Bv`mbftbnbftb, c ncìr supbrhîj`b à c bxtbrfc. Bssb hcti à gcstcftb utè`zcmi bn bebtr`j`mcmb, qucfmi sb mbsboc pritbäêi jiftrc cäêi mb jcrdcs bxtbrìrbs, jini fc pritbäêi mb `fstrunbftis sbfsîvb`s jiftrc jcnpis beàtr`jis, pir bxbnpei.

Jcpcj`tirbs I bstumi mcs jcrdcs beàtr`jcs, qub ffizbnis, pbrn`tb-fis cprbsbftcr un jinpifbftb mb cpe`jcäêi jifstcftb bn timis is j`rju`tis mb bebtrýf`jc, qub à i jcpcj`tir, vuedcrnbftb jifabj`mi jini i jifmbfscmir.. Cjifsbeacnis i ceufi c bnprbdcr sbnprb c pr`nb`rc mbfin`fcäêi, pi`s à nc`s jirrbtc. jifmbfscmir I jcpcj`tir junprb `fÿnbrcs ffifce`mcmbs fis j`rju`tis j`rju` tis bebtrýf`jis. À utè`zcmi fi geiqubì geiqub` i mb jirrbftb jiftîfuc pcrc e`vrb pcsscdbn mb jirrbftb cetbrfcmc, jini rbsbrvctúrì mb jcrdcs fis j`rju`tis mb ffietri, jini tcfqub fis j`rju`tis isjècmirbs, btj., jini i ceufi tbrã ipirtuf`mcmb mb cprbfmbr, fi mbsbfviev`nbfti mi fissi jursi. \ir irc, cfce`scrbnis cpbfcs i pr`fjîpì mb hufjìfcnbfti b is mbtceabs jifstrut`vis mis jcpcj`tcmirbs.

Jcpcj`tçfj`c Zupifacnis qub sb jieiqubn mucs pecjcs mb nbtce bn pcrcebei, sbn qub sb tiqubn, jini nistrcnis fc ffidurc 07. Bsscs pecjcs jacncn-sb crncmurcs b i jifoufti, jcpcj`tir. E`dubnis bsscs mucs pecjcs c unc gctbr`c.

H`durc 07 - Crncmurcs jini bxbnpei mb un jcpcj`tir. Jursi mb Ncfutbfäêi b Wbpcri mb Jbeuecr - Cpistèc <7

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Jini scgbnis qub cs mucs pecjcs fêi sb tijcn, fêi acvbrã pcsscdbn mb jirrbftb beàtr`jc, iu, nbeair m`zbfmi, fêi mbvbr`c acvbr pcsscdbn mb jirrbftb beàtr`jc. Cmn`tcnis qub, cpús jbrti tbnpi, tbnpi bssb qub jirrbspifmb ci mb jcrdc mi jcpcj`tir, sbocn nbm`mcs cs tbfsòbs fcs pecjcs b fc gctbr`c. Xbr`ffijc-sb qub fêi aã m`hbrbfäc fcs nbm`mcs; jifsbqubftbnbftb, fêi bstã pcsscfmi jirrbftb. Cdirc, mbse`dc-sb c gctbr`c b nbmb-sb fivcnbftb c m`hbrbfäc mb pitbfj`ce bftrb cs pecjcs. Xbr`ffijc-sb qub bec à `duce ì mc gctbr`c. Irc, i hcti mb bx`st`r bssc m`hbrbfäc mb pitbfj`ce `fm`jc qub cs pecjcs cjunuecrcn jcrdcs beàtr`jcs, ceàn mb qub unc mbecs tbn jcrdc fbdct`vc b c iutrc, pis`t`vc. \crc ncìr hcjè`mcmb mb rcjìjîfì, cmn`tcnis qub i jcpcj`tir tbfac cjunuecmi mucs jcrdcs beàtr`jcs, qucfmi c beb cpe`jiu-sb 3 viet mb m`hbrbfäc mb pitbfj`ce. Bn unc sbdufmc prãt`jc, ufcnis bftrb s` is tbrn`fc`s mi jcpcj`tir. jcpcj`tir. À jecri qub cs jcrdcs pis`t`vcs b fbdct`vcs sb cfuecn b tbnis, bftêi, i qub sb jacnc mb mbsjcrdc mi jcpcj`tir jcpcj`tir.. Rnc vbz mbsjcrrbdcmi, cpe`qubnis ci fissi jcpcj`tir unc m`hbrbfäcc mb pitbfj`ce mb 7 viets. Bspbrbnis i tbnpi fbjbssãrì pcrc qub sb jcrrbdub. Hb`ti `sti, m`hbrbfä mbtbrn`fbnis, pir un prijbssi qucequbr qub fi ninbfti fêi tbn `npirtçfj`c, c fivc qucft`mcmb mb jcrdc. Xbr`h`jcnis qub bec à mucs vbzbs ncìr qub c cftbrìr, iu sboc, = jcrdcs. Cdirc, bn bxpbr`ïfj`cs `duc`s ì mbsjr`tc, ncs jin iutrcs i utrcs m`hbrbfäcs mb pitbfj`ce, nbm`nis sbnprb c qucft`mcmb mb jcrdc. Xbr`ffijcnis Xbr`ffijcnis qub, pcrc : viets, bfjiftrcnis bfjiftrcnis 8 jcrdcs; pcrc = viets, 1 jcrdcs; pcrc 2 viets, viets, 3< jcrdcs; b css`n pir m`cftb. Igsbrvcfmi ctbftcnbftb bssbs fÿnbris, fitcnis unc pcrt`juecr`mcmb `ftbrbsscftb,, iu sboc, c rbecäêi, `sti à, c m`v`sêi bftrb c qucft`mcmb mb jcrdcs qub i jcpcj`tir cjunueiu `ftbrbsscftb b c m`hbrbfäc mb pitbfj`ce cpe`jcmc à jifstcftb b sbnprb c nbsnc, fcs m`vbrscs bxpbr`ïfj`cs, `sti à, 7, pi`s, 7 m`v`m`mi pir 3 rbsuetc 7; = m`v`m`mi pir 7 tcngàn mã 7, b css`n pir pi r m`cftb. Mbpi`s m`ssi, pimbnis mbh`f`r c jcpcj`mcmb iu jcpcj`tçfj`c mb un jcpcj`tir mc sbdu`ftb ncfb`rc? Jacnc-sb jcpcj`tçfj`c mb un jcpcj`tir c rbecäêi (m`v`sêi) bftrb c qucft`mcmb mb jcrdc cjunuecmc b c m`hbrbfäc mb pitbfj`ce cpe`jcmc ìs sucs crncmurcs.

Rf`mcmb mb Nbm`mc C uf`mcmb mb nbm`mc mc jcpcj`tçfj`c à jacncmc mb hcrcm, bn ainbfcdbn ci drcfmb sãgì `fdeïs N`jacbe Hcrcmcy, sbfmi rbprbsbftcmc pbec ebtrc H. HCWCM > H I hcrcm à unc uf`mcmb mb nbm`mc nu`ti drcfmb b tbn piujc iu qucsb fbfaunc cpe`jcäêi prãt`jc. p rãt`jc. \ir `ssi, utè`zcn-sb sbus sugnÿet`peis? ²H. c) N`jrihcrcm, qub jirrbspifmb ì nèìfàs`nc pcrtb mb un hcrcm b sb rbprbsbftc pir ²H. N`jrihcrcm (²H) >

3 ””””‚ 3.<<<.<<<

H

pcr tb mi n`jrihcrcm b sb rbprbsbftc pir pH (p`jihcrcm). g) \`jihcrcm, qub bqu`vceb ì nèìfàs`nc pcrtb Rsiu-sb nu`ti c mbfin`fcäêi n`jrin`jrihcrcm, ncs, ctucenbftb, tbn-sb prbhbr`mi p`jihcrcm (pH), pir sbr nc`s jurtc, tcfti fc eb`turc jini fc cgrbv`cäêi. \`jihcrcm (ph (ph)) > @fst`tuti Rf`vbrsce Grcsèb`ri

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3 ””””‚”””” 3.<<<.<<<.<<<.<<<

H Jursi mb Ncfutbfäêi b Wbpcri mb Jbeuecr - Cpistèc <7

Chirc bssbs mi`s sugnÿet`peis mi hcrcm, firncenbftb i ceufi bfjiftrcrã, jin gcstcftb hrbqõïfj`c, i fcfihcrcm. j) Fcfihcrcm, juoc fitcäêi à fH b jirrbspifmb ì nèàs`nc pcrtb mi n`jrihcrcm, iu sboc, à un sugnÿet`pei qub bstã bftrb i n`jrihcrcm b i p`jihcrcm. Fcfihcrcm Fcfihc rcm (ph (ph)) >

3 ””””””” 3.<<<.<<<.<<<

H

Cfceid`c A`mrãue`jc mc Rf`mcmb Jift`fucfmi jin cs jinpcrcäòbs a`mrãue`jcs qub ìs vbzbs hczbnis, pimbnis jinpcrcr c jcpcj`tçfj`c jin un rbsbrvctúrì (jc`xc m‐ãduc). Css`n, fi jcsi mc ãduc, c gingc à c bfbrd`c qub niv`nbftc c ãduc, mbpis`tcfmi-c fi rbsbrvctúrì. Fi jcsi mb bebtr`j`mcmb, c pèac à c bfbrd`c qub niv`nbftc cs jcrdcs beàtr`jcs, mbpis`tcfmi-cs fi jcpcj`tcmir jcpcj`tcmir.. Drcfmb vieunb mb ãduc bfjab un ecdi. Drcfmb vieunb mb jcrdcs beàtr`jcs jifmuz c un hcrcm. Rn pbqubfi vieunb mb ãduc bfjab, pir bxbnpei, un gcrrè. Rn pbqubfi vieunb mb jcrdcs bfjab, pir bxbnpei, un jcpcj`tir mb un n`jrihcrcm. Oã nu`ti piujc ãduc bfjab, pir bxbnpei, un mbmce, b nu`ti piujcs jcrdcs jcrrbdcn, pir bxbnpei, un jcpcj`tir mb un p`jihcrcm. Sucfmi sb m`z qub un ji`sc à nu`ti drcfmb, bec mbvb sbr tincmc bn jinpcrcäêi c iutrc. \ir `ssi, pcrc sb tbr `mà`c mc bfirn`mcmb mi hcrcm, gcstc m`zbr qub, pcrc qub unc bshbrc tbfac jcpcj`tçfj`c mb un hcrcm, bec mbvb sbr ncìr qub c ]brrc.

Mb qub Mbpbfmb c Jcpcj`tçfj`c mb un Jcpcj`tir Mcs bxpbr`ïfj`cs cftbrìrbs, pimbnis jifjeu`r qub c jcpcj`tçfj`c fêi mbpbfmb mc m`hbrbfäc mb pitbfj`ce cpe`jcmc ìs crncmurcs mi jcpcj`tir jcpcj`tir.. @sti à hãjè mb jifjeu`r, pirqub, qucfmi sb cunbftc iu sb m`n`fu` c tbfsêi fcs crncmurcs, tcngàn cunbftc iu m`n`fu` c qucft`mcmb mb jcrdc cjunuecmc, mb nimi qub c rbecäêi bftrb c tbfsêi b c qucft`mcmb mb jcrdc, qub, pir mbffif`äêi, à c jcpcj`tçfj`c, jift`fuc sbnprb c nbsnc. Mbstc cffirnct`vc fêi vã i ceufi jifjeu`r qub un jcpcj`tir jifstruîmi pcrc hufjìfcr bn 2< X pissc sbr e`dcmi bn 2<< X. Jecri qub fêi, pi`s, bngirc c jcpcj`tçfj`c pbrncfbäc c nbsnc fcs mucs tbfsòbs, i jcpcj`tir mb 2< X rinpb-sb (bstrcdc-sb), ci sbr e`dcmi bn 2<< X. C jcpcj`tçfj`c mi jcpcj`tir mbpbfmb?

Mcs M`nbfsòbs (Ãrbc) mcs Crncmurcs \crc mbnifstrcr qub css`n à, gcstc jifstru`r jcpcj`tirbs jin crncmurcs mb ãrbcs m`hbrbftbs b nbm`r c qucft`mcmb mb jcrdc qub becs cjunuecn, qucfmi sugnbt`mcs ì nbsnc m`hbrbfäc mb pitbfj`ce. \ir bxbnpei, jifstrucnis un jcpcj`tir jin mucs pecjcs mb 3<< jbftînbtris qucmrcmis mb ãrbc, iu sboc, pecjcs mb 3< jn mb ecmi, jieijcfmi-cs hcjb c hcjb b m`stcfj`cmcs bftrb s` mb 3 jn. Cdirc, jifstrucnis iutri jcpcj`tcmir mb =<< jbftînbtris qucmrcmis mb ãrbc, `sti à, pecjcs mb 7< jbftînbtris mb ecmi, b tcngàn jieiqubnis bsscs pecjcs pe cjcs hcjb c hcjb, fc nbsnc m`stçfj`c cftbrìr cftbr` ir mb 3 jn (Xboc fc ffidurc 0:).

H`durc 0: - C jcpcj`tçfj`c mb un jcpcj`tir mbpbfmb mc ãrbc mcs pecjcs. Jursi mb Ncfutbfäêi b Wbpcri mb Jbeuecr - Cpistèc <7

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E`dcfmi is mi`s jcpcj`tirbs css`n jifstruîmis c unc mbtbrn`fcmc m`hbrbfäc mb pitbfj`ce, qub pimb sbr c nbsnc pcrc is mi`s iu fêi, b m`v`m`fmi i vceir mc qucft`mcmb mb jcrdc cjunuecmc pbec m`hbrbfäc mb pitbfj`ce bn jcmc jcpcj`tir, vcnis igsbrvcr qub i jcpcj`tir fÿnbri mi`s, `sti à, i qub tbn ecmi mucs vbzbs ncìr b ãrbc quctri vbzbs ncìr, tbn jcpcj`mcmb quctri vbzbs ncìr qub i pr`nb`ri. @sti mbnifstrc qub c jcpcj`tçfj`c mbpbfmb m`rbtcnbftb mc ãrbc mcs crncmurcs.

Mi M`beàtr`ji Jacnc-sb mb m`beàtr`ji mb un jcpcj`tir c sugstçfj`c `siecftb qub bstã jieijcmc bftrb cs crncmurcs. C jcpcj`mcmb mi jcpcj`tir tcngàn mbpbfmb mbssc sugstçfj`c. Fcs bxpbr`ïfj`cs tbúr`jcs qub j`tcnis ctà cqu`, jin c `ftbfäêi ÿf`jc mb m`n`fu`r c m`ffijuemcmb pcrc bftbfm`nbfti mc jcpcj`tçfj`c, tbnis bnprbdcmi, jini i m`beàtr`ji, i cr. Bngirc bx`stcn, fc prãt`jc, jcpcj`tirbs juoi m`beàtr`ji à i cr, qucfmi sb mbsbocn drcfmbs jcpcj`mcmbs sêi utè`zcmis iutris nctbr`c`s jini m`beàtr`ji, tc`s jini? n`jc, peãst`ji, pie`àstbr, pie`àstbr, jbrçn`jc, v`mri, úebi, btj. \crc igsbrvcr jini vcr`c c jcpcj`tçfj`c jin i t`pi mb m`beàtr`ji, rbjirrcnis c`fmc ìs bxpbr`ïfj`cs. Cmn`tcnis qub, sbfmi i cr i m`beàtr`ji, fi jcpcj`tir fÿnbri un mi bxbnpei cftbrìr, tbfacnis bfjiftrcmi jcpcj`tçfj`c mb 1,18 pH. pH. Cdirc, vcnis prbbfjabr i bspcäi bftrb cs mucs crncmurcs jin n`jc, jini èustrc c ffidurc 0=.

H`durc 0= - mi m`beàtr`ji uscmi b mb suc bspbssurc.

Cpe`jcfmi ci jcpcj`tir css`n css`n hirncmi unc m`hbrbfäc m`hbrbfäc mb pitbfj`ce, pitbfj`ce, nbm`fmi c qucft`mcmb mb jcrdc cjunuecmc b m`v`m`fmi pbec tbfsêi bssc qucft`mcmb, vcnis bfjiftrcr pcrc fivc jcpcj`tçfj`c i vceir mb 2:,38 pH pH.. @sti s`df`ffijc qub c n`jc hbz c jcpcj`tçfj`c cunbftcr bn 8 vbzbs. Zb t`vbssb s`mi uscmi, jini m`beàtr`ji i ―tb﬇if„, qub à un peãst`ji, i cunbfti tbr`c s`mi mb mucs vbzbs. M`ssi sb jifjeu` qub c jcpcj`tçfj`c mbpbfmb mi t`pi mb m`beàtr`ji utè`zcmi.

Mc Bspbssurc mi M`beàtr`ji @f`j`cenbftb, mbvbnis bsjecrbjbr qub sb jacnc mb bspbssurc mi m`beàtr`ji c m`stçfj`c bftrb cs crncmurcs. Xcnis Xcnis nistrcr qub c jcpcj`tçfj`c mbpbfmb mbssc bspbssurc; pcrc tcfti, tcngàn ecfäcnis nêi mcs bxpbr`ïfj`cs. Jifs`mbrbnis, bftêi, i jcpcj`tir jin m`beàtr`ji mb cr b ãrbc mb 3<< jbftînbtris qucmrcmis mb crncmurc. X`nis qub, qucfmi bsscs crncmurcs bstêi m`stcfj`cmcs unc mc iu trc mb un jbftînbtri, c jcpcj`tçfj`c à mb 1,18 pH. pH. Cdirc, bn iutrc bxpbr`ïfj`c, vcnis jifsbrvcr cs m`nbfsòbs mcs pecjcs b i m`beàtr`ji mb cr b cprix`ncr cs crncmurcs bftrb s`, mb nimi qub c m`stçfj`c bftrb becs pcssb c sbr mb <,2 jn (nbì jbftînbtri). Fbstb jcsi, c`fmc nbm`fmi c m`hbrbfäc mb tbfsêi cpe`jcmc, c qucft`mcmb mb jcrdcs cjunuecmcs b m`v`m`fmi c sbdufmc pbec pr`nb`rc, vcnis bfjiftrcr qub c jcpcj`tçfj`c à mb 34,47 pH, iu sboc, mucs vbzbs c cftbrìr. Fitcnis bftêi qub, m`v`m`fmi c bspbssurc pbec nbtcmb, c jcpcj`tçfj`c migriu mb vceir. Zb mbsbocrnis bhbtucr iutrc bxpbr`ïfj`c sbnbeacftb, pimbrbnis @fst`tuti Rf`vbrsce Grcsèb`ri

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migrcr c bspbssurc mi m`beàtr`ji, `sti à, cunbftcr c m`stçfj`c bftrb cs crncmurcs pcrc 7 jn. Fbstc s`tucäêi, nbm`fmi fivcnbftb c jcpcj`tçfj`c, vcnis bfjiftrcr =,=: pH, iu sboc, c nbtcmb mi vceir bfjiftrcmi qucfmi c bspbssurc brc mb 3 jn. @sti fis ebvc c jifjeu`r qub, cunbftcfmi c bspbssurc mi m`beàtr`ji, c jcpcj`tçfj`c m`n`fu`. C jifjeusêi c qub jabdcnis à c mb qub c jcpcj`tçfj`c vcr`c `fvbrscnbftb `fvbrscnbftb jin c bspbssurc mi m`beàtr`ji.

Igsbrvcäêi? Mi bxpisti ctà cqu`, pimbr-sb-`c jifjeu`r brrifbcnbftb qub i jcpcj`tir à sbnprb jifst`tuîmi pir mucs pecjcs pecfcs b pcrcebecs. @sti fêi à vbrmcmb. Ce`ãs, jini i ceufi vbrã fc e`äêi prãt`jc, qucfmi sb mbsbocn drcfmbs jcpcj`mcmbs bn pbqubfis vieunbs, cs pecjcs (crncmurcs) sêi m`spistcs bn bsp`rce. M`rbnis, c`fmc, qub fbn à prbj`si qub sbocn pecjcs, pcrc bx`st`r i bhb`ti mc jcpcj`tçfj`c. Gcstc qub tbfacnis mi`s iu nc`s jirpis jin qucequbr hirnc b bftrb bebs bx`stc m`hbrbfäc mb pitbfj`ce, pcrc qub sb tbfac i bhb`ti mc jcpcj`tçfj`c. I ceufi vbrã, pir bxbnpei, qub fc e`dcäêi mb jinpifbftbs mb rãmì ctrcvàs mb hìs, bstbs hìs hirncn jin i jacss` unc pbqubfc jcpcj`tçfj`c c quce, bn hrbquïfj`c bebvcmc, pimb numcr jinpebtcnbftb i jinpirtcnbfti jinpir tcnbfti mi j`rju`ti. Ceàn m`ssi, qucequbr jinpifbftb, nbsni i rbs`stir qub i ceufi jifabjb, pissu` unc pbqubfc jcpcj`tçfj`c. Bn jifjeusêi, m`rbnis qub sb mã i finb mb jcpcj`tir c qucequbr jirpi utè`zcmi tbfmi bn v`stc i cprivb`tcnbfti mb suc jcpcj`tçfj`c.

Xijcgueãrì Cjìfcnbfti? Niv`nbftcäêi. Jifvbfjìfce? Cquèi qub sb cjb`tc jini usuce jinun. Mbpbfmïfj`c? Zugirm`fcäêi; suob`äêi @npe`jc? \rimuz jini jifsbquïfj`c; bfvievb. @fvbrsêi? Cti iu bhb`ti mb `fvbrtbr `fvbrtbr,, `sti à, v`rcr pcrc i sbft`mi ipisti ci fcturce. Eb`di? Cqubeb qub à bstrcfai iu ceabì c un cssufti. Eîj`ti? I qub à ousti iu pbrn`t`mi. Wit`fb`ri? Acg`tuce, jistunb`ri. Z`npe`stc? Z`fdbei, mb hãjè jinprbbfsêi jinprbbfsêi.. Z`fýf`ni? M`z-sb mb pcecvrc qub tbn qucsb c nbsnc s`df`ffijcäêi. Zujbssêi? Zbquïfj`c mb hbfýnbfis iu hctis, dbrcenbftb v`fjuecmis pir unc rbecäêi jcsuce. Xbrgcenbftb? Xbrgcenbf tb? Ircenbftb, `sti à, bxprbssi mb v`vc viz. Jursi mb Ncfutbfäêi b Wbpcri mb Jbeuecr - Cpistèc <7

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Curso-Celular 2 - 1coluna

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