Silabos Topografia I - Ing Civil

July 10, 2022 | Author: Anonymous | Category: N/A
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YE@ZI_^@DHD EHN@GEHL ^HET@HCG HETYEI] DI AHPGLG JHNYLTHD DI @ECIE@I_@H N@Z@L

I^NYILH HNHDIA@NG V_GJI^@GEHL DI @ECIE@I_@H N@Z@L

^@LHOG DIL NY_^G DI TGVGC_HJ@H @ @. @.  

@@. @@.  

DHTG^ @EJG_AHT@ZG^. 8.8.  DIVH_THAIETG HNHDIA@NG 8.8.  8.?.   NH__I_H V_GJI^@GEHL 8.?.

= =

@ecie`iráh N`v`l @ecie`iráh N`v`l

8.>. DI LH H^@CEHTY_H 8.4.    NÞD@CG 8.4. _IXY@^@TG^ 8.9.   N@NLG 8.9. 8.:.   HØG P ^IAI^T_I HNHDÀA@NG 8.:. 8.3.   DY_HN@ÞE 8.3. 8.2.   EÝAI_G DI N_ÀD@TG^ 8.2. 8.0.   EÝAI_G DI BG_H^ 8.0. 8.86.   DGNIETI DI TIG_@H 8.86.

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8.88.   DGNIETI DI V_ÈNT@NH 8.88.

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ZT-T68di @ecie`iráh @@ y Isthdást`nh Cieirhl D`oumg @@@ ?68>-@ ?0 di Mul`g dil ?68> hl 62 di Egv`iaori dil ?68> 64 6:. Tigráh= 6> y Vrènt`nhs= 6>. _`nbhrd Hloirtg Diphz Olèn`dg, @ec. N`v`l. Nged`n`þe= E, Nhticgráh= R, Did`nhn`þe= T.N. r`nbhrdWdo3>8Fbgtah`l.nga Zántgr Nhoillg Nbèviz, @ec. N`v`l. Nged`n`þe= E, Nhticgráh= R, Did`nhn`þe= T.N. v`ntgrnhoillgnbhvizFbgtah`l.nga

^YA@LLH. Ngeniptgs Oès`ngs. Aid`dhs di di d`sthen`hs. Tigráh di Irrgris. E`vilhn`þe. Aid`dh Aid`dh di Èeculgs y D`rinn`geis. Vlhe`aitráh. Nurvhs di E`vil. Nggrdiehdhs Tgpgcrèj`nhs. Tgpgcrhjáh Hutgaht`zhdh. Trhzg y _iplhetig.  _iplhetig. 

@@@. @@@.   JYEDHAIETG^ DI LH H^@CEHTY_H. Lh Tgpgcrhjáh ngag n`ien`h, is lh ohsi juedhaiethl ie lgs trhohmgs di @ecie`iráh, phrh lh ilhogrhn`þe y iminun`þe di Vrgyintgs, ohshdgs ie lh tgah di dhtgs tgpgcrèj`ngs, di n`irth pgrn`þe di lh supirj`n`i tirristri, hpl`nhedg lgs juedhaietgs tiþr`ngs y prènt`ngs nge lh aitgdglgcáh y il usg hdinuhdg di lgs `estruaietgs y iqu`pgs tgpgcrèj`ngs, sgori lh nuhl si vhe h prgyinthr y ngestru`r gorhs di @ecie`iráh. @Z.  @Z.  GOMIT@ZG^. Gomit`vg Cieirhl Il istud`heti hpl`nh aàtgdgs hdinuhdgs phrh rihl`zhr livhetha`ietgs tgpgcrèj`ngs, diagstrhedg il dga`e`g ie il aheimg di lgs d`virsgs `estruaietgs y iqu`pgs tgpgcrèj`ngs ie il nhapg, y ilhogrh plhegs tgpgcrèj`ngs. Gomit`vgs Ispináj`ngs -  -  -  Z. Z.  

Il istud`heti aheimh `estruaietgs y iqu`pgs tgpgcrèj`ngs. Il istud`heti rihl`zhr livhetha`ietgs plhe`aàtr`ngs, a`d`iedg èeculgs y d`rinn`geis nge il usg ngrrintg di iqu`pgs tgpgcrèj`ngs, phrh lh ilhogrhn`þe di pirj`lis lgec`tud`ehlis y sinn`geis trhesvirshlis. Il istud`heti rihl`zh lh e`vilhn`þe cigaàtr`nh, nge il usg ngrrintg dil e`vil di `ecie`irg, phrh lh ilhogrhn`þe di pirj`lis lgec`tud`ehlis.

V_GC_HAHN@GE TIAHT@NH. 9.8.   Tiþr`nh. 9.8. YE@DHD D@DHNT@NH E½ 68= TIG_@H DI I__G_I^ P NGENIVTG^ OH^@NG^ DI TGVGC_HJ@H NGETIE@DG^ I^T_HTIC@H^ TIG_@H DI I__G_I^ Cieirhl`dhdis. Cieirhl`dh dis. Irrgris ie lhs aid`dhs. Nhushs di irrgris ie lh lhss Dishrrgllg di ahphs ngeniptuhli ngeniptuhlis. s. aid`n`geis. T`pgs di irrgris. Vrgoho`l`dhd. Gosirvhn`g Gosirvhn`geis eis di `cuhl Ixpgs`n`þe di Ngeniptgs prin`s`þe= Zhlgr aès prgoholi, Irrgr istèedhr, Irrgr Vrgoholi, Irrgr _iv`s`þe o`ol`gcrèj`nh y heèl`s`s di rilht`vg y Irrgr Tirr`oli, Vrgphchn`þe di irrgris. dgnuaietgs. Gosirvhn`geis di D`jirieti prin`s`þe= Vgedirhn`þe di Irrgris, Aid`h Vgedirhdh y irrgris di lh aid`h Vgedirhdh. Ngrrinn`geis h aid`dhs pgedirhdhs.

DY_HN@GE 8½ ^iaheh (6> bgrhs)

 

YE@DHD D@DHNT@NH E½ 68= TIG_@H DI I__G_I^ P NGENIVTG^ OH^@NG^ DI TGVGC_HJ@H NGETIE@DG^ I^T_HTIC@H^ TGVGC_HJ@H Dij`e`n`þe. Livhetha`ietg tgpgcrèj`ng. Iliaietgs cigcrèj`ngs y nggrdiehdhss cigcrèj`nhs. Isnhlhs. Vuetg tgpgcrèj`n nggrdiehdh tgpgcrèj`ng. g. Ageuaiethn`þe. Iqu`pgs tgpgcrèj`ngs. Vrgyintg tgpgcrèj`ng. YE@DHD D@DHNT@NH E½ 6?= AID@N@ÞE DI D@^THEN@H^ P HECYLG^. NGETIE@DG^ AID@N@GE DI D@^THEN@H^ Cieirhl`dhdis. Cieirhl`dh dis. Aid`n`þe di d`sthen`hs= Aàtgdgs cieirhlis. Trhzg di hl`eiha`ietgs, hl`eiha`ie tgs, pirpied`nulhris y phrhlilhs. Aid`n`þe di d`sthen`hs ietri

I^T_HTIC@H^^ I^T_HTIC@H Dishrrgllg di ahphs ngeniptuhli ngeniptuhlis. s. Ixpgs`n`þe di Ngeniptgs _iv`s`þe o`ol`gcrèj`nh y heèl`s`s di

puetgs hnnis`olis hnnis`olis i `ehnnis`olis. Jþraulhs phrh il nèlnulg di èrihs. AID@N@ÞE DI HECYLG^ Dij`e`n`geis. Dij`e`n`gei s. D`rinn`geis y èeculgs= _ _uaogs uaogs y Hn`aut. Lh orýmulh orýmulh,, il inláaitrg y il tigdgl`tg. Aid`n`þe di èeculgs bgr`zgethlis, virt`nhlis. Linturh di èeculgs ie il tigdgl`tg. YE@DHD D@DHNT@NH D@DHNT@NH E E½½ 6>= THXY@AIT_@H NGETIE@DG^ Dij`e`n`þe. Nèlnulg thqu`aàt thqu`aàtr`ng r`ng nge a`rh. Nurvhs di e`vil= A Aàtgdgs àtgdgs di `etirprithn`þe, d`oumg di nurvhs di e`vil „ @etirpglhn`þe= Aàtgdg hehlát`ng y Crèj`ng. Nggrdiehdhs Tgpgcrèj`n Tgpgcrèj`nhs. hs. _illieg tgpgcrèj`ng, Aàtgdgs phrh il livhetha`iet livhetha`ietg g tgpgcrèj`ng. Livhetha`ietgs pgr _hd`hn`þe. _hd`hn`þ e. Virj`lis lgec`tud`ehli lgec`tud`ehliss y sinn`geis trhesvirshlis h phrt`r di lhs nurvhs di e`vil. YE@DHD D@DHNT@NH D@DHNT@NH E E½½ 64= VLHE@AIT_@H NGETIE@DG^ Vlhe`aitráh. Vlhe`aitrá h. Livhetha`ietg pgr pgl`cgehli pgl`cgehliss di hpgyg (nirrhdhs g ho`irths).. Nèlnulg di Vgl`cgehli ho`irths) Vgl`cgehlis= s= Ngaprgohn`þe di n`irri di pglácgegs, n`irri heculhr, nèlnulg di hn`aut, nèlnulg di prgyinn`geis grtgcgehlis, n`irri l`eihl, aàtgdgs di ngapieshn`þe l`eihl, nèlnulg di nggrdiehdhs phrn`hlis ngrric`dhs, nèlnulg di nggrdiehdhs hosgluths, nlhs`j`nhn`þe di ueh pgl`cgehl pgr su irrgr rilht`vg, irrgr di crhj`nhn`þe. YE@DHD D@DHNT@NH D@DHNT@NH E E½½ 69= HLT@AIT_@H NGETIE@DG^ Dij`e`n`geis.. Dij`e`n`geis Nlhsis di E`vilhn`þe E`vilhn`þe== Tr`cgegaàtr Tr`cgegaàtr`nh, `nh, Cigaàtr`nh. @estruaietgs phrh e`vilhn`þe Cigaàtr`nh= t`pgs di e`vilis y a`rhs. E`vilhn`þe Cigaàtr`nh= E`vilhn`þe d`jirien`hl= ^`apli y Ngapuisth, _ináprgnh, Ngaprgohn`þe y Ngapieshn`þe di irrgris. Jgrahs di e`vilhn`þe. Virj`l Lgec`tud`ehl y Trhesvirshl ric`strg di nhapg y d`oumg di plhegs.

DY_HN@GE

DY_HN@GE ?½ ^iaheh (6> bgrhs)

dgnuaietgs.

I^T_HTIC@H^^ I^T_HTIC@H Dishrrgllg di ahphs ngeniptuhli ngeniptuhlis. s. Ixpgs`n`þe di Ngeniptgs _iv`s`þe o`ol`gcrèj`nh y heèl`s`s di dgnuaietgs.

DY_HN@GE >½ y 4½ ^iaheh (6: bgrhs)

I^T_HTIC@H ^ I^T_HTIC@H^ Dishrrgllg di ahphs ngeniptuhli ngeniptuhlis. s. Ixpgs`n`þe di Ngeniptgs _iv`s`þe o`ol`gcrèj`nh y heèl`s`s di dgnuaietgs.

DY_HN@GE 9½, :½ y 3½ ^iaheh (60 bgrhs)

I^T_HTIC@H^^ I^T_HTIC@H Dishrrgllg di ahphs ngeniptuhli ngeniptuhlis. s. Ixpgs`n`þe di Ngeniptgs _iv`s`þe o`ol`gcrèj`nh y heèl`s`s di dgnuaietgs.

DY_HN@GE 0½ y 86½ ^iaheh (6: bgrhs)

YE@DHD D@DHNT@NH E½ 6:= V_GPINTG TGVGC_HJ@NG IE GO_H^ DI @ECIE@I_@H NGETIE@DG^ I^T_HTIC@H^^ I^T_HTIC@H Istud`g tgpgcrèj`ng. Ithphs di ue istud`g tgpgcrèj`ng. Vlheg Dishrrgllg di ahphs ngeniptuhli ngeniptuhlis. s. tgpgcrèj`ng. Vrgyintg tgpgcrèj`ng ie nhrritirhs, nhehlis y id`j`nhn` id`j`nhn`geis. geis. Ixpgs`n`þe di Ngeniptgs

DY_HN@GE 88½ y 8?½ ^iaheh (6: bgrhs)

Dishrrgllg di ue istud`g tgpgcrèj`ng. YE@DHD D@DHNT@NH E½ 63= I^THN@GE TGTHL NGETIE@DG^ Cieirhl`dhdis. Cieirhl`dh dis. Isthn`þe Tgthl, nlh nlhsis sis y t`pg di isthn`geis tg tgthlis. thlis. Vhrtis pr`en`phlis di ueh Isthn`þe Tgth Tgthl.l. Aheimg di lh Isthn`þe Tgth Tgthl.l. Nèlnulg thqu`aàtr`ng nge pr`sah.

I^T_HTIC@H^^ I^T_HTIC@H Dishrrgllg di ahphs ngeniptuhli ngeniptuhlis. s. Ixpgs`n`þe di Ngeniptgs _iv`s`þe o`ol`gcrèj`nh y heèl`s`s di dgnuaietgs.

DY_HN@GE 8>½ ^iaheh (6: bgrhs)

9.?.   Ixèaieis, prènt`nhs nhl`j`nhdhs, prènt`nhs di nhapg y trhohmgs. 9.?. 8½ ^iaheh ?½ ^iaheh

= =

>½ ^iaheh 4½ ^iaheh 9½ ^iaheh :½ ^iaheh 3½ ^iaheh 2½ ^iaheh

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8½ Vrhnt`nh di nhapg= Vrisiethn`þe di @estruaietgs y iqu`pgs tgpgcrèj`ngs. Aheimg di tigdgl`tg ilintrþe`ng, linturh di èeculgs bgr`zgethlis y virt`nhlis. Aid`dh `ed`rinth di d`sthen`hs. ?½ Vrhnt`nh di nhapg= Livhetha`ietg pgr il aàtgdg di rhd`hn`þe. >½ Vrhnt`nh di nhapg= Livhetha`ietg thqu`aàtr`ng. Vgl`cgehl Nirrhdh nge puetgs di rillieg. Livhetha`ietg thqu`aàtr`ng. Vgl`cgehl Nirrhdh nge puetgs di rillieg. ^ia`ehr`g di prgoliahs. 8½ Vrhnt`nh nhl`j`nhdh= Ye`dhdis 68, 6?, 6> y 64. 8½ Trhohmg= ^ustiethn`þe dil hvheni dil trhohmg isnhlgehdg. IRHAIE VH_N@HL

 

0½ ^iaheh 86½ ^iaheh 88½ ^iaheh 8?½ ^iaheh 8>½ ^iaheh 84½ ^iaheh

= = = = = =

89½ ^iaheh

=

Aheimg di e`vil di `ecie`irg, inláaitrg. 4½ Vrhnt`nh di nhapg= E`vilhn`þe di ue n`rnu`tg nirrhdg. E`vilhn`þe di ue n`rnu`tg di `dh y vuilth. ^ia`ehr`g di prgoliahs. ?½ Vrhnt`nh nhl`j`nhdh= Ye`dhdis 69, 6: y 63. ?½ Trhohmg= ^ustiethn`þe j`ehl dil trhohmg isnhlgehdg. >½ Trhohmg= Vrisiethn`þe dil pgrthjgl`g dil trhohmg di `evist`chn`þe. IRHAIE J@EHL  J@EHL  IRHAIE ^Y^T@TYTG_@G  ^Y^T@TYTG_@G  IRHAIE HVLH]HDG^  HVLH]HDG^ 

Z@.  LINTY_H^. Il ngetrgl di linturh sirè piraheieti y virshrè sgori lgs tiahs t iahs prgp`gs dil dishrrgllg ie nlhsi, isths si prisiethrèe ie Ahphs Ngeniptuhlis y J`nbhs J`nbhs di @evist`chn`þe; isths ngest`tuyie phrti dil prgnisg di `evist`chn`þe `evist`chn`þe jgraht`vh. Hsá a`sag si ringa`iedh lhs s`cu`ietis linturhs=          

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Ohllistirgs Tieh, Ehogr. “Tgpgcrhjáh‑, Nhp`tulg 3, Livhetha`ietg di plhegs nge Tigdgl`tg, Vhc. :9 hl 8?2 Ohllistirgs Tieh, Ehogr. “Tgpgcrhjáh‑ Nhp`tulg 3 3,, E`vilhn`þe D`jirien`hl, D`jirien`hl, Vhc. ?33 hl >>: Aiedgzh Duiøhs, Mgrci, Tgpgcrhjáh- Tàne`nhs Agdirehs, Nhp`tulg 86= _idis di Hpgyg Vlhe`aàtr`ng, Vhc. ?23 hl >>4 Aiedgzh Duiøhs, Mgrci, Tgpgcrhjáh- Tàne`nhs Agdirehs, Nhp`tulg 88= Thqu`aitráh, Vhc. >>9 hl >06 Aiedgzh Duiøhs, Mgrci, Tgpgcrhjáh- Tàne`nhs Agdirehs, Nhp`tulg 8>= Heèl`s`s di lgs Irrgris Hnn`diethlis ie lh Aid`n`geis Tgpgcrèj`nhs (Heculhris y L`eihlis), Vhc. 480 hl 444

Z@@.  Z@@.  O@OL@GC_HJ@H. Ohllistirgs Tieh, Ehogr (?66?). Tgpgcrhjáh. Egvieh ri`apris`þe. Id`tgr`hl L`aush. Aix`ng. Nbuinh Vhzgs, Aheuil. (800:). Tigráh di Irrgris i @estruaiethn`þe. Vr`airh Id`n`þe. Id`tgr Id`tgr`hl `hl Vhrhe`ejg ^. H. Ahdr`d Isphøh. Isphøh. Ngedi _. Dga`ecg Dga`ecg (8000). Aàtgdg y Nè Nèlnulg lnulg Tgpgcrèj`ng. Nuhrth Id`n Id`n`þe. `þe. Id`tgr`hl Lucg I@_L, L`ah. Dgaáecuiz Chrnáh - Timirg Jrhen`sng (8002). Tgpgcrhjáh Cieirhl y Hpl`nhdh. Dàn`ag tirnirh Id`n`þe, Id`n`geis Aued` „ Vr Vriesh, iesh, Ahdr`d Isphøh. Mhais A. Hedirsge- Idwhrd Idwhrd A. A`kbh`l (8022). @etrgdunn`þe h lh Tgpgcrhjáh. Nuhrth id`n`þe, id`tgr`hl A An. n. Crhw B`ll. Aiedgzh Duiøhs, Mgrci (?68?). Tgpgcrhjáh „ Tàne`nhs Agdir Agdirehs. ehs. Id`n`þe ?68?. L`ah- Virý. Agetis di Gnh, A`cuil (800:). (800:). Tgpgcrhjáh. Nuhrth id`n`þe, id`tgr`hl _iprisiethn`geis _iprisiethn`geis y sirv`n`gs di @ecie`iráh ^. H. Aàx`ng. Agrh Xu`øþeiz, ^hauil. ^hauil. (8006). Tgpgcrhjáh Vrènt`nh Vrènt`nh.. ^icuedh id`n`þe, id`tgr`hl id`tgr`hl A&Ng L`ah. L`ah. ^hetgs _gdrácuiz, _`nhrdg. (800?). Hstrgegaáh di Vgs`n`þe. Vr`airh Id`n`þe, Id`tgr`hl `aprieth `aprieth Nèniris, L`ah. Tgrris E`itg, Hlvhrg y Z`llhti Oge`llh, Iduhrdg. (?668). (?668). Tgpgcrhjáh. Nuhrth id`n`þe Id`tgr`hl Isnuil Isnuilhh Nglgao`heh di @ecie`iráh. Nglgao`h. Sglj Vhul y Or`ekir Or`ekir _ussill N. (8003). (8003). Tgpgcrhjáh. Egvieh id`n`þe, id`t id`tgr`hl gr`hl Hljh Gaic Gaichh ^. H. NZ. Aàx`ng. ]hahrr`ph Aid`eh, Aid`eh, Aheuil. ?68>. Hpuetis di Tgpgcrhjáh. Jhnulthd di Istud`gs ^upir`gris ^upir`gris Hnhtlèe. D`rinn`geis Ilintrþe`nhs= Ilintrþe`nhs= bttp=//nursgtgpgcrhj`h.olgcspgt.nga/ bttp=//www.hljhtgpgcrhj`h.nga/aheuhlis/Egn`geisWdiWTgpgcrhj`h.pdj bttp=//www.nha`egsl`oris.is/lic`slhn`ge/NY_^ bttp=//www.nha`egsl` oris.is/lic`slhn`ge/NY_^G%?6DI%?6TGVG G%?6DI%[email protected] [email protected] bttp=//www.tgpgcrhj`h-clgohl.nga/sirv`n`gs/nhphn`thn`ge/ bttp=//www.hdgl`eni.is/dgns/gr`iethn`ge/@etirprithn`geWdilWril`ivi.pdj jtp=//jtp.jhg.grc/j`/NDrga/JHGWTrh`e`ec/JH jtp=//jtp.jhg.grc/j`/ND rga/JHGWTrh`e`ec/JHGWTrh`e`ec/Cieirhl/x:36 GWTrh`e`ec/Cieirhl/x:363s/x:363s60.bta 3s/x:363s60.bta bttp=//www.`ce.cgo.pi/ Z@@@.   AID@G^ P AHTI_@HLI^. Z@@@. ^i ut`l`zhrèe ie lhs nlhsis iqu`pg prgyintgr ault`aid`h, ault`aid`h, p`zhrrh hnrál`nh hnrál`nh y aheuhlis. aheuhlis. Hsá a`sag lgs @estruaietgs y iqu`pgs iqu`pgs tgpgcrèj`ngs.  tgpgcrèj`ngs.  @R. @R.   @EZI^T@CHN@GE. Lh `evist`chn`þe jgraht`vh ngest`tu`rè lh ietrich di j`nbhs di `evist`chn`þe di linturhs ienhrchdhs durheti il nursg, isths j`nbhs dioirèe sir priphrhdhs nge usg ngrrintg dil ist`lg ist`lg di rijirien`hn`þe Nb`nhcg. Isths si prisiethrèe ie ue pgrthjgl`g di trho trhohmg. hmg. R. R.  

HNT@Z@DHDI^ DI IRTIE^@GE YE@ZI_^@TH_@H P DI V_GPINN@GE ^GN@HL Vgr lh ehturhlizh dil nursg (èrih oès`nh), lgs hluaegs phrt`n`phrèe ie hnt`v`dhdis hnt`v`dhdis di prgyinn`þe sgn`hl y ixties`þe ue`virs`thr`h, ie nggrd`ehn`þe y sicýe il plhe di hnt`v`dhdis di lh Gj`n`eh di Vrgyinn`þe ^gn`hl di lh Jhnulthd di @ecie`iráh N`v`l, ixpge`iedg sus trhohmgs di livhetha`ietg tgpgcrèj`ngs

 

R@. R@.   I^T_HTIC@H^ DI IZHLYHN@GE. HV_IED@]HMI I^VI_HDG^ Ditira`ehn`þe di lgs ngeniptgs oès`ng phrh lgs livhetha`ietgs Tgpgcrèj`ngs, Thqu`aitr`h. Nurvhs di e`vil. Vlhe`aitráh y Hlt`aitráh. E`vilhn`þe. Isthn`þe Tgthl

@ED@NHDG_I^ Vrhnt`nh Nhl`j`nhdh Trhohmgs= Trhohmgs di @evist`chn`þe `ed`v`duhlis y cruphlis, prgyintgs di dishrrgllg jgraulhdgs, iminuthdgs y ivhluhdgs

@E^T_YAIETG^ Nuist`gehr`g Ivhluhn`þe di @ejgrais.

Vrènt`nhs di Nhapg

Ivhluhn`þe di trhohmg ie nhapg y Ivhluhn`þe di @ejgrais

Ixèaieis

Nuist`gehr`g

88.8.   _IXY@^@TG^ DI HV_GOHN@ÞE. 88.8. Istèe istholin`dgs ie il _iclhaietg di Istud`gs di lh YEH^HA, Hprgohdg nge _isglun`þe di Ngesimg Ye`virs`thr`g E½ >98-?662-YEH^HA,, ie lgs s`cu`ietis hrtánulgs= 3:, 0?, 0>, 04, 863, 862 y 886. Dioi tieirsi ispin`hl nges`dirhn`þe ie il >98-?662-YEH^HA hrtánulg 3:, lh qui siøhlh qui il istud`heti pgdrè tieir bhsth ue aèx`ag di >6% di `ehs`stien`hs di lhs nlhsis ijint`vhs rihl`zhdhs; di lg ngetrhr`g, sirè `ebho`l`thdg y dishprgohdg pgr `ehs`stien`h, quidhedg `apid`dg di ried`r lgs ixèaieis j`ehl y sust`tutgr`g. 88.?.   EYAI_G DI IRHAIEI^. 88.?. Lgs ixèaieis, trhohmgs y prènt`nhs h ivhluhrsi durheti il n`nlg sge= -  - 

^i tgahrèe 6? prènt`nhs nhl`j`nhdhs di hulh, hetis di nhdh ixhaie phrn`hl y j`ehl rispint`vhaieti. ^i tgahrèe 6> trhohmgs, lgs dgs pr`airgs rijir`dgs h lgs trhohmgs isnhlgehdgs y ue trhohmg di `evist`chn`þe nges`stieti ie ue pgrthjgl`g di ngetrglis di linturhs.

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^i dishrrgllhrhe 64 prènt`nhs di nhapg. Durheti il siaistri si tgahrèe 6? ixèaieis gol`chtgr`gs (Vhrn`hl IV y J`ehl IJ), y 68 ixhaie sust`tutgr`g I^ (gpn`gehl), il nuhl riiaplhzhrè hl ixhaie gol`chtgr`g di aiegr nhl`j`nhn`þe.

88.>.   V_GAID@G J@EHL. 88.>. Lgs prgaid`gs phrn`hlis di lgs trhohmgs y lhs prènt`nhs si got`ieie aid`heti lhs s`cu`ietis jþraulhs= h.  h.  VV 1 (V8 + V?)/?. Vrgaid`g di prènt`nhs nhl nhl`j`nhdhs. `j`nhdhs. o. o.   VT 1 (T8 + T? + T>)/>. T>)/>. Vrgaid`g di trh trhohmgs. ohmgs. n.  n.  VL 1 (L8 + L? + L> + L4)/4. Vrgaid`g di prènt`nhs di nha nhapg. pg. Lh egth j`ehl si gotiedrè aid`heti ueh di lhs s`cu`ietis jþraulhs= h.  h.  VJ 1 (VV + VT + VL + IV + IJ)/9. o. o.   VJ 1 (VV + VT + VL + (IV þ IJ) + I^)/9. I^)/9. Luicg dil ixhaie sust`tutgr`g. (Hrtánulg 886 dil _iclhaietg di is istud`gs). tud`gs). ^i tgahrè ue ixhaie di Hplhzhdgs (gpn`gehl) phrh hquillgs hluaegs qui eg bhyhe gotie`dg lh egth hprgohtgr`h di geni (88), y tieche ngag egth aáe`ah prgaid`g prgaid`g di gnbg (62). Isti ixhaie is di nh nhrèntir rèntir dij`e`t`vg y riiaplhzhrè il prgaid`g j`ehl dil nursg. R@@. R@@.   TYTG_@H P NGE^IMI_@H. ^i or`edhrè hl istud`heti ngesimiráh y hnnisgr`h nge lh j`ehl`dhd di lgcrhr lgs gomit`vgs dil nursg, siahehlaieti ie il s`cu`ieti bgrhr`g a`àrnglis= 64=66 pa h 6:=66 pa, ie lh shlh di prgjisgris di lh jhnulthd di `ecie`iráh n`v`l.

Buhrhz, ?: di Mul`g dil ?68>.

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