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8/17/2019 Cabezal divisor de la fresadora
http://slidepdf.com/reader/full/cabezal-divisor-de-la-fresadora 1/18
OH_CMCFÓ@ XÆC@FCM F@H_SX\FMJ
EM]_F@MS BO\\MEFO@XMS FF
M^_@XOS HO CJMSOXOEM;
CMLO[MJ HFQFSI\ HO JM A\OSMHI\M
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?.„ HFQFSFI@ CF\C_JM\ HO JM A\OSMHI\M
?.=.- Hfvfsfi` cfrcujmr.
Sf silro jm arosmhirm so hosom grmhumr u` hfsci, tmjjmr u`m arosm, tmjmhrmr mgukoris
oqufhfstm`tos silro u`m suporafcfo có`fcm, i romjfzmr trmlmkis sfefjmros, bm ho utfjfzmrso jmhfvfsfó` cfrcujmr.
^mrm romjfzmr osto tfpi ho trmlmki, jm pfozm bm ho ostmr sieotfhm m u` eivfefo`ti ho gfripir cmhm hfvfsfó` quo so okocuto.
?.<.- Ostuhfi ho jis hfaoro`tos tfpis ho hfvfsiros cfrcujmros y eihi hoipormr ci` jis efseis.
Oj mpmrmti i cmlozmj hfvfsir, os u`i ho jis mccosirfis eís fepirtm`tos ho jm arosmhirm,eohfm`to oj cumj so puoho cijicmr jm borrmefo`tm silro jms hfaoro`tos pmrtos ho u`m pfozm,provfmeo`to ojogfhms y hotoref`mhms pir u`m hfeo`sfó` m`gujmr. Ci` arocuo`cfm ostmspmrtos suojo` sor oqufhfstm`tos y silro suporafcfos cfjå`hrfcms i có`fcms (ruohms ho`tmhms,arosms, okos ostrfmhis, otc.).
Jis mpmrmtis hfvfsiros utfjfzmhis puoho` o` oso`cfm, rosuefrso o`;
m) Mpmrmtis hfvfsiros sfepjos;• Ho pjmti ho mgukoris•
Ho hfsci rm`urmhi.l) Mpmrmtis hfvfsiros ho tir`fjji sf`aå` y ciri`m bojfcifhmj;• Ho pjmti ho mgukoris (Hfvfsir u`fvorsmj)• Ho o`grm`mkos• Eosm gfrmtirfm i pjmti cfrcujmr hfvfsir.
Xmelfæ` pihråm o`cumhrmrso ho`tri ho osto grupi oj hfvfsir óptfci, pori pir trmtmrso hou` mpmrmti ho usi pici arocuo`to silro jm arosmhirm, os pir ji quo `i so oxpi`o o` ostotoxti.
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?.<.=. Mpmrmti hfvfsir sfepjo ho pjmti ho mgukoris.
Ci`stm ho u` cuorpi ho au`hfcfó` (?) y ho u` oko prf`cfpmj (7) quo so bmco gfrmr eohfm`tooj lrmzi em`fvojm (=).
Silro oj cuorpi vm ei`tmhi afki u` pjmti (8) privfsti ho mgukoris, jis cumjos bm` sfhieocm`fzmhis oqufhfstm`tos o`tro så y silro cfrcu`aoro`cfms ci`cæ`trfcms.
Oj lrmzi (=), eohfm`to u`m rm`urm y jm tuorcm (<), riscmhm silro oj oko prf`cfpmj, puohosftumr oj postfjji (3) silro cumjqufor cfrcu`aoro`cfm ho mgukoris ho quo ostí privfsti ojpjmti.
Oj oko prf`cfpmj jjovm u` ci`i f`torfir pmrm mjikmr mj pu`ti (=>) y oxtorfireo`to vmoqufpmhi ci` u`m riscm pmrm ei`tmr f`hfstf`tmeo`to oj pjmti ho gmrrms (2) i oj lrmzi homrrmstro (6).Eohfm`to oj em`hi W so ljiquom ci` eís sogurfhmh oj oko prf`cfpmj (7) efo`trms soeocm`fzm jm pfozm.
Oj cuorpi (?) vm privfsti o` su cmrm ho mpiyi, ho u`m rm`urm ji`gftuhf`mj, hi`ho puoho`mjikmrso jms cbmvotms (==) quo mkustm` o` jm rm`urm co`trmj ho jm eosm, quohm`hi msåmjf`omhi oj mpmrmti cum`hi so hosoo tmj pisfcfó`.
Jm pfozm m eocm`fzmr puoho fr ei`tmhm silro pu`tis, silro pjmti-pu`ti i sijmeo`tosilro pjmti, o` oj prfeor cmsi oj oko prf`cfpmj hoj mpmrmti y pfozm so u`o` rågfhmeo`toeohfm`to oj lrmzi (6) y oj porri ho mrrmstro (=<).
Oj ci`trmpu`ti (=8) os oj mccosirfi hoj mpmrmti hfvfsir hostf`mhi m sorvfr ho mpiyi m jmspfozms cum`hi æstms ji roquform`, su oko O-O puoho sor rogjmhi o` jm citm B puos oj cuorpico`trmj (=3) so hosjfzm vortfcmjeo`to pir jms rm`urms (=?). Mj fgumj quo oj oko prf`cfpmj hojcmlozmj hfvfsir, oj oko hoj ci`trmpu`ti puoho tmelfæ` ljiquomrso.
Jm emyiråm ho jis hotmjjos trmtmhis o` osto hfvfsir, si` mpjfcmljos m jis rostm`tos mpmrmtishfvfsiros quo so oxpi`o` o` ostm soccfó`.
Jm airem ho ipormr ci` osto mpmrmti os ciei sfguo;
So ojfgo u`m cfrcu`aoro`cfm cuyis mgukoris si` eûjtfpjis ho jms hfvfsfi`os m romjfzmr y sohfvfho pir oj `ûeori ho ostms hfvfsfi`os, oj cicfo`to si` jis f`torvmjis o`tro mgukoris, quo
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so bm` ho pmsmr silro jm cfrcu`aoro`cfm ojogfhm, pmrm cmhm hfvfsfó` quo so romjfco silro jmpfozm.
Sf (D) os oj `ûeori ho mgukoris ho jm cfrcu`aoro`cfm ojogfhm y (@) oj `ûeori ho hfvfsfi`osm romjfzmr, jis f`torvmjis (R) o`tro mgukoris quo so bm` ho pmsmr silro jm cfrcu`aoro`cfmojogfhm sorí`;
@
D R 5
Okoepji;
\omjfzmr sofs hfvfsfi`os silro u`m pfozm ei`tmhm o` u` mpmrmti hfvfsir sfepjo, privfsti hojsfgufo`to pjmti ho mgukoris =? - =1 - =7 - =2 - =6 - <>.
So ojfgo jm cfrcu`aoro`cfm ho =2;
31
=2555 @
D
R
So pmsmrm` ci` oj å`hfco tros f`torvmjis o` jm cfrcu`aoro`cfm =2.
?.<.<. Mpmrmti hfvfsir sfepjo ho pjmti rm`urmhi.
Osto hfvfsir os u`m vmrfm`to hoj m`torfir, silro su oko prf`cfpmj (=) vm ei`tmhi afki u` hfs-ci (<) privfsti ho o`tmjjms oqufhfstm`tos, silro jms cumjos so mjikm oj postfjji (3) afki mjcuorpi hoj mpmrmti.
Su eihi ho ipormr os fgumj mj f`hfcmhi pmrm oj mpmrmti m`torfir, pori o` voz ho ipormrsilro cfrcu`aoro`cfms ho mgukoris, os silro hfscis ci` o`tmjjms, ho jis quo oj mpmrmti
pisoo u` kuogi.
?.<.3. Hfvfsir u`fvorsmj ho pjmti ho mgukoris.
Su cmrmctoråstfcm oso`cfmj os quo oj oko prf`cfpmj (=), rocflo oj eivfefo`ti m trmvæs ho u`tir`fjji sf`aå` (<) y ho u`m ruohm có`cmvm bojfcifhmj (3) (ciri`m).
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Osto mpmrmti ostí airemhi pir his eocm`fseis, u`i mjikmhi o` oj f`torfir ho jm cmrcmsm(8) y ci`stftufhi pir oj o`grm`o sf`aå` ciri`m. Ciei oj oko hoj sf`aå` (<) vm mpiymhi silrocikf`otos oxcæ`trfcis (?), puoho hosci`octmrso ho jm ciri`m (cum`hi so hosoo), sf so gfrmci`vo`fo`toeo`to jm pmjm`cm (1) quo so afkm eohfm`to oj prfsfi`ori (7) mj sipirto (2).
Oj itri eocm`fsei4 ostí f`togrmhi ciei so puoho ilsorvmr, pir jms ruohms cfjå`hrfcms g-by jms có`fcms e-` (go`ormjeo`to tihms ojjms ci` rojmcfó` ho trm`sefsfó` =;=)4 vm` mjikmhmso` jm cmrcmsm (6) afkm mj sipirto (2) hoj mpmrmti. Oj pjmti ho mgukoris vm ei`tmhi sijfhmrfisilro oj culi hoj pfýó` có`fci (`).
\ocflo oj `ielro ho ci`stm`to hoj hfvfsir jm rojmcfó` ho trm`sefsfó` o`tro oj oko ho jmem`fvojm y oj oko prf`cfpmj hoj mpmrmti, os hocfr, oj `ûeori ho vuojtms quo bmy quo hmr m jmem`fvojm pmrm quo oj oko prf`cfpmj hoj hfvfsir hæ u`m vuojtm ciepjotm.
Jm cmrcmsm (8) eohfm`to jis mpiyis (=>) vm ei`tmhm o` oj sipirto (2) silro jis cikf`otos-cu`m (==).
Jm afgurm, euostrm oj mpmrmti mremhi y o` pisfcfó` f`cjf`mhm puos jm cmrcmsm so puohogfrmr silro oj oko OO bmstm pi`or mj oko prf`cfpmj (=) o` pisfcfó` vortfcmj.
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Ostis mpmrmtis hfvfsiros vm` privfstis ho hfspisftfvis pmrm cirroccfó` ho bijgurmsprihucfhms pir hosgmsto, msfefsei vm` oqufpmhis ho cbmvotms o` su lmso y ho aro`i o` ojoko prf`cfpmj. Su ei`tmko silro jm eosm y oj memrro ho pfozms silro oj mpmrmti so romjfzmhoj efsei eihi quo o` oj hfvfsir sfepjo.
Jm afgurm euostrm osquoeítfcmeo`to u` hfvfsir o` quo jm cmrcmsm (8), gfrm eohfm`to cijmsho efjm`i silro oj sipirto (2).
?.<.3.=.- Eætihis ho hfvfsfó`.
Eætihi sfepjo.- Jms vuojtms y ospmcfis o`tro mgukoris (f`torvmjis) quo so bm` ho pmsmrci` jm em`fvojm silro jm mhocumhm cfrcu`aoro`cfm si`;
@
D R 5
Sfo`hi D jm ci`stm`to hoj hfvfsir y @ oj `ûeori ho hfvfsfi`os oqufhfstm`tos m romjfzmr.
Bm ho bmcorso `itmr quo oj mpmrmti hfvfsir u`fvorsmj puoho ci`vortfrso o` u` hfvfsirsfepjo ho pjmti rm`urmhi4 pmrm tmj af`, bm ho hosci`octmrso oj sf`aå` ho jm ciri`m bojfcifhmjy ipormr ci` oj postfjji (C) silro oj pjmti rm`urmhi (^) afki mj oko prf`cfpmj hoj mpmrmti,hfcbi pjmti go`ormjeo`to ostí privfsti ho <8 rm`urms.
^jmtis ho mgukoris f`torcmelfmljos eís arocuo`toeo`to usmhis;
^jmti `»=; =?- =1 - =7 - =2 - =6 - <> mgukoris.^jmti `»<; <= - <3 - <7 - <6 - 3= - 33 mgukoris.^jmti `»3; 37 - 36 - 8= - 83 - 87 - 86 mgukoris.
Hfvfsfó` smjtomhm.- M vocos os ci`vo`fo`to romjfzmr jm hfvfsfó` smjtomhm, os hocfr, `iokocutmr jm próxfem rm`urm m ci`tf`umcfó` ho jm quo so mcmlm ho eocm`fzmr, ci` ilkoti hoovftmr orriros o` jm pfozm eocm`fzmhm pir hfjmtmcfó` ho jm zi`m.
Jm airem ho pricohor os jm sfgufo`to; So oaoctûm oj cíjcuji pricohfo`hi sogû` jm aóreujmf`hfcmhm m`torfireo`to y oj rosujtmhi so eujtfpjfcm pir u` `ûeori o`tori (hfvfsfi`os msmjtmr) quo `i som hfvfsfljo ho jms hfvfsfi`os m romjfzmr.
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Okoepji; Ci`stm`to hoj mpmrmti 8>, pjmti hfspi`fljo oj `ûeori =, hfvfsfi`os m romjfzmr <8.
\osijucfó`;
<8
=1==
=2
8>+5555
@
D R
So ojfgo oj `ûeori ? quo `i os hfvfsfljo pir jms <8 hfvfsfi`os m romjfzmr.
=?
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3
=2
<8
22
8>
2>?)
<8
=1=(? +5+5+5+5+⋏
So hmrí` m jm em`fvojm icbi vuojtms o`torms y cf`ci f`torvmjis o` jm cfrcu`aoro`cfm ho =?mgukoris.
So rocuorhm quo pmrm soýmjmr jm armccfó` ho vuojtm m hmr m jm em`fvojm, oxfsto u` ciepísho mjfhmhm (C) ei`tmhi m rizmefo`ti silro jm efsem pfozm quo oj pjmti (^). Jms ruohmscó`fcms e y ` si` jms soýmjmhms ci` jms efsems jotrms o` jm aågurm.
Jm pfozm (A) tfo`o pir efsfó` msogurmr oj pjmti ci`trm u` pisfljo hosjfzmefo`ti gfrmtirfi.
O` jm afgurm, so ilsorvm oj ciepís ci` jm mhocumhm mlorturm pmrm romjfzmr jm hfvfsfó` hojm`torfir okoepji. Jms pmtms hoj ciepís puoho` rogujmrso ci`vo`fo`toeo`to,ljiquoí`hiso u`m ci` itrm eohfm`to oj tir`fjji (X).
Eætihi hfaoro`cfmj.-Sf utfjfzm`hi jis pjmtis f`hfcmhis so hosom` romjfzmr 23 hfvfsfi`os, ojpriljoem `i tfo`o sijucfó` pir oj eætihi ho hfvfsfó` sfepjo quo so bm oxpuosti.
Oxfsto` itris pricohfefo`tis ho hfvfsfó` quo mepjåm` jm pisflfjfhmh hoj mpmrmti, u`i ho
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ojjis os oj eætihi hfaoro`cfmj.
Ci`sfsto osto eætihi o` romjfzmr oj ei`tmko ho jm afgurm.
Sf so sfguo oj so`tfhi ho gfri ho su cmho`m cf`oeítfcm, so ilsorvm quo oj pjmti gfrm sf-eujtí`omeo`to ci` oj lrmzi, pmrm ji cumj bm ho rotfrmrso jm pfozm (A) quo so f`hfcó o` jm
afgurm.
Oj tro` ho o`grm`mkos m l c h, vm ei`tmhi silro u`m jfrm mhocumhm.
^mrm airemr osto tro`, jms ruohms ho quo go`ormjeo`to so hfspi`o si` ho <8, <2, 3<, 8>,88, 82, ?<, ?1, 18, 7<, 21, 61 y =>> hfo`tos.
Sf (@), os oj `ûeori ho hfvfsfi`os m romjfzmr (D) jm ci`stm`to hoj hfvfsir, y ym so pmrto hoquo jm hfvfsfó` os frromjfzmljo pir oj eætihi sfepjo, so ciefo`zm ojfgfo`hi u` `ûeori hohfvfsfi`os (@') ho airem quo so puohm oepjomr oj roaorfhi eætihi sfepjo4 osto `ûeoripuoho sor emyir i eo`ir quo (@). (O` osto cmsi so supi`o @' : @).
^mrm quo oj oko prf`cfpmj oaoctûo oj gfri hosomhi, os hocfr, @ = , jm em`fvojm tfo`o quo
gfrmr @
D R 5 , pori sf m jm efsem so jo hm u` gfri ho
¸¸
@
D R 5 , so bmlrí cieotfhi oj
sfgufo`to orrir o` oj pripfi gfri ho jm em`fvojm;
@
D
@
D o ∜5
¸
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Sf cum`hi so euovo jm em`fvojm ci` oj pripósfti ho bmcorjm gfrmr¸ @
D pmrm fr m luscmr oj
mgukori (M), so ci`sfguo quo oj pjmti romjfco sfeujtí`omeo`to u` gfri (o) (o` osto cmsi o`so`tfhi ci`trmrfi m jm em`fvojm), oj postfjji i pu`zó` (^), bmlrí o`ci`trmhi oj mgukori M,
procfsmeo`to cum`hi jm em`fvojm sóji bmym gfrmhi @
D , quo os ji quo o` romjfhmh so
hosom4 puos o` tmj cmsi oj oko prf`cfpmj hoj mpmrmti y, pir tm`ti, jm pfozm bmlrí` gfrmhi
@
=.
Sóji lmstm cmjcujmr oj tro` m, l, c, h, quo trm`sefto oj eivfefo`ti hoj oko prf`cfpmj (=) mjoko (<), quo os procfsmeo`to oj culi hoj pfýó` có`fci ` silro oj cumj vm ei`tmhisijfhmrfmeo`to oj pjmti, romjfzm`hi æsto oj gfri (o).
Jm rojmcfó` ho trm`sefsfó` o`tro ostis his okos os;
cm
h l
sci`huctirmhfo`tosihucti
ci`hucfhmshfo`tosihucti
ohovuojtms
hovuojtms @
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@mturmjeo`to, ostm aóreujm sorí mpjfcmljo cum`hi @' : @ quo os oj cmsi supuosti4 mhoeísoj so`tfhi ho ritmcfó` hoj pjmti holoråm sor ci`trmrfi m jm em`fvojm.
Sf mj ojogfr oj `ûeori ho hfvfsfi`os, bulfoso icurrfhi quo @' 0 @, sfgufo`hi jis efseisrmzi`mefo`tis so jjogmrjm m jm aóreujm;
h l
cm
@
@ @ D
⋏
⋏5
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o` tmj cmsi oj pjmti y lrmzi holo` gfrmr o` oj efsei so`tfhi.
Sf mj ei`tmr oj tro` cmjcujmhi rosujtm quo oj gfri hoj pjmti `i tfo`o oj so`tfhi quo sohosom, bmlrí quo f`torcmjmr u`m ruohm f`toreohfm.
Oj ciepís ho mjfhmhm (J) quo mlmrcm¸ @
D gfrmrí ci` oj pjmti.
O` jms aóreujms m`torfiros so bm ci`sfhormhi quo tm`ti jis o`grm`mkos cfjå`hrfcis g-b cieijis có`fcis e-`, tfo`o` u`m rojmcfó` ho trm`sefsfó` ho = ; =, ym quo mså os ciei`iremjeo`to so ci`struyo` jis mpmrmtis.
Bm ho bmcorso `itmr quo cum`hi so oepjom oj eætihi hfaoro`cfmj `i os pisfljo f`cjf`mr oj
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oko hoj hfvfsir.
Okoepji =; O` u` mpmrmti hfvfsir u`fvorsmj cuym ci`stm`to os 8>, so hosom romjfzmr 23hfvfsfi`os. Cmjcujmr;
m) Oj gfri ho em`fvojm pmrm bmcor jm hfvfsf1` (siji so hfspi`o hoj pjmti`ûeori =).l) Oj tro` ho ruohms m cijicmr o` oj hfvfsir.c) Oj so`tfhi ho gfri hoj pjmti.
\osijucfó`;
m) So ojfgo @' 5 2>, juogi;
=2
6
2>
8>
¸¸ 555
@
D R
Jm em`fvojm bmlrí quo hfspi`orjm pmrm gfrmr `uovo f`torvmjis o` jm cfrcu`aoro`cfm ho =2.
l) Ciei @ 5 23 y @' 5 2>, so tfo`o quo @' : @, juogi bmlrí quo mhiptmr jm aóreujm (F).
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Jm ruohm ho 7< hfo`tos sorí jm ci`huctirm ei`tmhm silro oj oko prf`cfpmj hoj mpmrmti y jmho 82 hfo`tos sorí jm ci`hucfhm.
c) Oj gfri hoj pjmti bm ho sor ci`trmrfi m jm em`fvojm, pir ji quo bm ho f`torcmjmrso u``ûeori fepmr ho okos f`toreohfis.
Okoepji <.; Sijucfi`mr oj okorcfcfi m`torfir cum`hi so ojfgo @'5 6>.
m)=2
2
6>
8>¸ 55 R
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c) Oj gfri hoj pjmti bm ho to`or oj efsei so`tfhi quo jm em`fvojm, sfo`hi `ocosmrfif`torcmjmr u` `ûeori pmr ho okos f`toreohfis. O` jm afgurm so bm roproso`tmhi oj osquoem
hoj tro` y jm vfstm pir jm pmrto pistorfir hoj mpmrmti.Xmelfæ` os mpjfcmljo o` osto eætihi jm hfvfsfó` smjtomhm pori to`fo`hi sfoepro o` cuo`tmho gufmrso pir oj ciepís ho mjfhmhm.
Sf o` oj okoepji m`torfir so hosom romjfzmr jm hfvfsfó`, smjtm`hi sfoto ospmcfis, oj gfri m hmrm jm em`fvojm sorí;
=2
<3
=2
?1
=2
27 +55×
So ci`tmrí` tros vuojtms tiem`hi sfoepro ciei roaoro`cfm jm prfeor pmtm hoj ciepís,mu`quo æsto so euovm hurm`to oj gfri ho jm em`fvojm4 juogi so pmsmrí` his f`torvmjis o`jm cfrcu`aoro`cfm ho =2, jis cumjos ostmrí` ciepro`hfhis o`tro jms his pmtms hoj ciepís.
Eætihi ciepuosti.- Mj fgumj quo oj hfaoro`cfmj o`cuo`trm su kustfafcmcfó` cum`hi `i sopuoho oepjomr oj eætihi sfepjo. ^mrm pihor oepjomr oj eætihi ciepuosti, os `ocosmrfiquo oj hfvfsir hfspi`gm ho u` sogu`hi postfjji afki mj cuorpi hoj mpmrmti y ei`tmhi pir jmitrm cmrm hoj pjmti.
Ho ostm airem oj gfri m romjfzmr ci` jm em`fvojm so puoho hosciepi`or o` his gfris, u`ipir cmhm cmrm hoj pjmti. Aícfjeo`to so hohuco quo eohfm`to osto eætihi `i os pisfljoromjfzmr jm hfvfsfó` ho `ûeoris prfeis.
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?.<.8. Mpmrmti hfvfsir ho o`grm`mkos.
O` jm afgurm, so roproso`tm osquoeítfcmeo`to jm cmho`m cf`oeítfcm ho u`i ho ostishfvfsiros.
Jms hfvfsfi`os so romjfzm` m vuojtm ciepjotm hoj em`ulrfi i lrmzi (8) quo eohfm`to ojtro` ho ruohms m l c h, oj sf`aå` (=) y jm ciri`m (<), cieu`fcm` oj eivfefo`ti mj okoprf`cfpmj (FFF).
Silro oj cmsqufjji (F) quo os procfsmeo`to oj oko ci`huctir, vm` ei`tmhis oj em`ulrfi (8)y jm ruohm (m). Oj oko (FF) gfrm silro cmsqufjjis afkis mj sipirto (3).
Jjmem`hi (@) oj `ûeori ho hfvfsfi`os m romjfzmr, (B) mj `ûeori ho hfo`tos ho jm ciri`m y(S) mj `ûeori ho o`trmhms hoj sf`aå`, jm rojmcfó` ho trm`sefsfó` hosho oj oko ci`huctir (F)
mj ci`hucfhi (FFF) sorí;
sci`huctirmruohmshfo`tosihucti
ci`hucfhmsruohmshfo`tosihucti
FFF hovuojtms
F hovuojtms
Y Y Y ^r
Y Y Y ^r
)( Y
)( Y 5
Sustftuyo`hi vmjiros;
S cm
B h l
@ ⋏⋏
⋏⋏5
=
= pori ciei D
S
B 5 (ci`stm`to hoj mpmrmti) so tfo`o quo
h l
cm
@
D
⋏
⋏5
Osto mpmrmti hfspi`o ho u`m jfrm mhocumhm pmrm ei`tmr oj tro` ho o`grm`mkos.Okoepji; Cmjcujmr oj tro` m ei`tmr o` u` hfvfsir ho o`grm`mkos pmrm romjfzmr 13 hfvfsfi`os,sfo`hi jm ci`stm`to hoj mpmrmti 8>. So hfspi`o ho jms ruohms hmhms pmrm oj sfstoemhfaoro`cfmj.
h l
cm
@
D
⋏
⋏5 4
7<<2
3<8>
13
8>
×
×5
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?.<.? Eosm gfrmtirfm i pjmti cfrcujmr hfvfsir.
So trmtm, o` oso`cfm, ho u` mpmrmti hfvfsir ho tir`fjji sf` af` y ciri`m bojfcifhmj, pori æstmtfo`o su oko o` pisfcfó` vortfcmj. Silro hfcbi oko vm ei`tmhm u`m eosm rm`urmhm (<)hi`ho so afkm jm eirhmzm i hfroctmeo`to jms pfozms m eocm`fzmr, pir osto eitfvi jm eosmgfrmtirfm so utfjfzm pmrm ipormcfi`os ho ci`tir`omhi y ipormcfi`os ho hfvfsfó` o` pfozmsquo pir su airem y tmemýi `i puoho` sor ei`tmhms silro jis hfvfsiros oxpjfcmhis.
O` su pmrto co`trmj jjovm u` mjikmefo`ti cfrcujmr (3) ci` oj af` ho sorvfr ho roaoro`cfm m jmspfozms quo so bm` ho ei`tmr silro jm efsem.
\oaoro`to m jm airem ho ipormr, so sogufrí` jms efsems `irems hmhms pmrm jis hfvfsirosu`fvorsmjos, puosti quo su ci`stftucfó` au`hmeo`tmj os fgumj4 tmelfæ` jjovm o` oj oko hojem`ulrfi oj pjmti ho mgukoris (8), pmrm romjfzmr jms armccfi`os ho vuojtm (mjgu`is eihojisjjovm` tmelir grmhumhi privfsti ho `i`fus) y u` em`hi (?) pmrm ljiquomr jm eosmhospuæs ho cmhm gfri. Jm ci`stm`to ho ostis pjmtis hfvfsiros suojo` sor 1>, 6> y =<>.
@i os mpjfcmljo o` ostms eosms jm hfvfsfó` hfaoro`cfmj. M vocos oj gfri quo so hosom ilto`oro` jm pfozm ei`tmhm silro u` hfvfsir u`fvorsmj i eosm cfrcujmr, ostí oxprosmhi o`
u`fhmhos m`gujmros, o` tmj cmsi hfcbm oxprosfó` bmy quo trm`sairemrjm o` armccfó` hovuojtm.
Okoepji j; Silro u`m eosm cfrcujmr so hosom eocm`fzmr o` jm pfozm ho jm afgurm, jm cmrm M- M quo bm ho airemr ci` oj oko ho jm pfozm u` í`guji ν 5 =?¾ =<'. ¹Cóei so bm hopricohor smlfo`hi quo jm ci`stm`to ho jm eosm os 6>9
\osijucfó`;
Oj í`guji quo so bm ho bmcor gfrmr oj pjmti os procfsmeo`to ν. Sf oj trmlmki `i auoso hoeucbm procfsfó`, so puoho romjfzmr hfcbi gfri, muxfjfí`hiso ho jm grmhumcfó` (=).
^mrm romjfzmr eís oxmctmeo`to oj gfri so pricohorí hoj sfgufo`to eihi.
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@ûeori ho vocos quo oj í`gujiν
ostí ci`to`fhi o` u` gfri ciepjoti ho jm eosm, oshocfr, `ûeori ho hfvfsfi`os m romjfzmr.
6=<
1>>.<=
=<=1>=?
1>31>5
+×
×5 @
Gfri m hmr m jm em`fvojm;
=?
=<3
=?
?7
<8>
6=<
1>>.<=
<=<6>
6=<
1>>.<=
6>+555
×555
@
D R
So hmrí mj em`ulrfi 3 vuojtms ciepjotms y juogi =< f`torvmjis o` jm cfrcu`aoro`cfm ho F?
mgukoris cirrospi`hfo`tos mj pjmti `ûeori =.
@i sfoepro oj priljoem tfo`o sijucf1` oxmctm, m ci`tf`ucf1` so proso`tm u` okoepji o` ojcumj so bm cmjcujmhi oj orrir ho ostm f`oxmctftuh.
Okoepji <; So hosom romjfzmr o` u` oko his rm`urms ji`gftuhf`mjos quo aireo` o`tro sf u`í`guji ho <1¾ ==' ½ 7'. Hfcbi oko ostí ei`tmhi silro u` hfvfsir u`fvorsmj ho D 5 8>,hfspi`fo`hi sijmeo`to hoj pjmti `ûeori =.
Jm airem ho pricohor os jm sfgufo`to;
<1¾ ==' 5 =?7j'
?8>
=?7=
=?7=
1>>.<=
8>555
@
D R
Ciei ostm armccfó` `i os sfepjfafcmljo y ciei tmepici oxfsto jm cfrcu`aoro`cfm ho ?8>mgukoris, so cmjcujm` jms rohucfhms hfroctms ho hfcbm armccfó`.
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Ilto`cfó` ho jms rohucfhms ho u`m armccfó`.- Oj eætihi príctfci pmrm ilto`or jms
rohucfhms ho u`m armccfó` (so tiem ciei okoepji oj cmsi m`torfir?8>
=?7=) os oj sfgufo`to;
So hotoref`m` jis cicfo`tos pir oj eætihi ho jms hfvfsfi`os sucosfvms (cóei pmrm bmjjmr oje.c.h.).
< = => 86=.?7= ?8> 86= 86 =86= >86 >>= >>
Jm prfeorm rohucfhm so iltfo`o hfvfhfo`hi oj prfeor cicfo`to pir jm u`fhmh;
=
<= 5 \
Jm sogu`hm rohucfhm so iltfo`o mýmhfo`hi mj prfeor cicfo`to u`m armccfó` quo tfo`o pir`ueormhir jm u`fhmh y pir ho`ief`mhir oj sogu`hi cicfo`to.
=
3
=
=<< 5+5 \
Jms sfgufo`tos rohucfhms so iltfo`o` eujtfpjfcm`hi oj cicfo`to cirrospi`hfo`to, pir cmhmu`i ho jis tæref`is ho jm armccfó` m`torfir y suem`hi tæref`i m tæref`i jm armccfó`m`toprocoho`to.
==
3<
===>
<3=>3 5
+×
+×
5 \
?8>
=?7=
===86
33<868 5
+×
+×5 \
Jm ûjtfem armccfó` ilto`fhm bm ho sor fgumj m jm armccfó` irfgf`mj rohucfhm m su eís sfepjooxprosfó`, ji quo sfrvo ho cieprilmcfó`. Irho`m`hi jms m`torfiros armccfi`os;
=
<
=
3
==
3<
?8>
?7=.=
so ilsorvm quo jm armccfó` ho irho` fepmr tfo`o u` vmjir eo`ir quo jm oxmctm, efo`trmsquo jm ho irho` pmr tfo`o u` vmjir emyir, ci` jm pmrtfcujmrfhmh ho quo oj orrir os tm`tieo`ir cum`hi eís corcm so ojfkm jm rohucfhm ho jm armccfó` irfgf`mj, os hocfr4 ho jm ûjtfemrohucfhm;
Mj f`to`tmr ojogfr u`m rohucfhm pmrm ci` jm efsem pihor romjfzmr oj gfri o` oj pjmti `» = yquo, msfefsei, ostæ ji eís corcm pisfljo m jm armccfó` irfgf`mj, rosujtm sor jm sogu`hm
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rohucfhm;
3=
3< 55 \
os hocfr, quo bmlrí quo hmr tros vuojtms ciepjotms m jm em`fvojm hoj hfvfsir.Oj orrir cieotfhi sogû` so bm pricohfhi sorí;
=
3
¸
1>>.<=
8>
¸¸ 555
E
@
D R E¸5 =.1<>¸
orrir 5 =.1<> - =.?7= 5 86 ' (pir oxcosi)@i os pisfljo ojogfr ostm rohucfhm (\ < pir cum`ti quo oj orrir os emyir quo oj mheftfhi.^mrm smjvmr osto f`ci`vo`fo`to, so rocurro m jms rohucfhms f`torcmjmros.
\ohucfhms f`torcmjmros.- Sf jms rohucfhms hfroctms `i smtfsamco` oj priljoem, so puoho`cmjcujmr u`ms armccfi`os quo so ho`ief`m` f`torcmjmros, cielf`m`hi jms hfroctms o`tro sf.
Si` vmrfis jis pricohfefo`tis quo so puoho` oepjomr pmrm jm ilto`cfó` ho jms roaorfhmsf`torcmjmros. _`i euy príctfci os oj sfgufo`to; Sf so hosom f`torcmjmr o`tro jms rohucfhms \ = y \ <, so eujtfpjfcm` jis his tæref`is ho jm rohucfhm \ <, pir u` efsei `ûeori (so puohosogufr jm sorfo `mturmj ho jis `ûeoris) y so jo suem tæref`i m tæref`i jm rohucfhm m`torfir\ =.
Ciei ym so bm hfcbi, o` jms rohucfhms hoj okoepji m`torfir, so vo quo rospocti m jm
armccfó` irfgf`mj ?8>
?7=.=
, oj orrir ho jm prfeorm =
<
(fepmr) os pir hoaocti, efo`trms quo oj
ho jm sogu`hm=
3 (pmr) os pir oxcosi4 o`tro æstms so puoho` f`torcmjmr f`af`ftms armccfi`os
y, `mturmjeo`to, jms bmlrí ho vmjir euy mprixfemhi m jm irfgf`mj.
Cíjcuji ho mjgu`ms rohucfhms f`torcmjmros o`tro=
< y
=
3, eujtfpjfcm`hi jis his tæref`is ho
jm sogu`hm=
3 pir jm sorfo `mturmj ho jis `ûeoris y sueí`hijo tæref`i m tæref`i jm
prfeorm =
<
;
<
?
3
2
8
==
?
=8
1
=7
7
<>
2
<3
6
<1
=>
<6 ………
Ho ostms armccfi`os f`torcmjmros cmjcujmhms, si` vmrfms jms quo hm` sijucfó` mj priljoem,
pori so ojfgo jm=>
<6 pir sor ci` jm quo eo`is orrir so cieoto;
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<>
=2<
<>
?2
=>
<6+55
So hmrí` his vuojtms ciepjotms y =2 f`torvmjis o` jm cfrcu`aoro`cfm ho <>.
Oj orrir sorí;
=>
<6
¸
1>>.<=
8>
¸¸ 555
E
@
D R E¸ 5 =.?11¸
Orrir5 =.?7= – =.?11 5 ?¸
Ostí ho`tri ho jm tijorm`cfm mheftfhm.
Mjgu`ms vocos, cum`hi o` u` hfvfsir so bm ho romjfzmr u` gfri o` oj cumj so hotoref`o jm
tijorm`cfm hoj efsei, suojo sfepjfafcmrso oj cíjcuji sf so sustftuyo ho m`toem`i oj vmjir`ief`mj pir itri vmjir ojogfhi ci`vo`fo`toeo`to y quo ostæ ho`tri ho jm tijorm`cfmmheftfhm.
Bm ho bmcorso `itmr quo ostis eætihis mprixfemhis `i si` mpjfcmljos, pir okoepji, o` jmhfvfsfó` ho jis hfo`tos ho u` o`grm`mko, pir cum`ti quo oj orrir so mcueujmrjm o` jm ûjtfemhfvfsfó` quohm`hi hoaoctuisi oj ûjtfei hfo`to.
?. <.1. ^jmti cfrcujmr hfvfsir oqufpmhi ci` tmelir grmhumhi y `i`fus.
Ciei ym so f`hfcó, mjgu`is pjmtis hfvfsiros ostí` oqufpmhis ci` tmelir grmhumhi, o` voz
ho ci` pjmti ho mgukoris, eohfm`to u` okoepji so oxpi`o oj eætihi go`ormj ho ipormr o`tmj cmsi.
@mturmjeo`to, osto eætihi os mpjfcmljo m tihi eocm`fsei quo ostæ fgumjeo`toci`stftufhi, ciei icurro o` jm irfo`tmcfó` hoj oko prf`cfpmj, o` jm emyiråm ho jmsarosmhirms vortfcmjos.
Bm ho bmcorso `itmr quo oj oepjoi hoj tmelir grmhumhi o` jis hfvfsiros sóji osmpripfmhi pmrm romjfzmr u` hotoref`mhi gfri oxprosmhi o` u`fhmhos m`gujmros, puosrosujtm o`girrisi y ho procfsfó` rojmtfvm pmrm gfris quo oxfkm` grm` rogujmrfhmh, os hocfr,quo bmym` ho sor ji eís pisfljoeo`to fgumjos o`tro sf, ciei icurro o` oj tmjjmhi ho u`m
ruohm ho`tmhm4 mhoeís `i sfoepro so ci`sfguo` sijucfi`os oxmctms.Okoepji.-_` pjmti cfrcujmr hfvfsir tfo`o u`m ci`stm`to ho 6>, su tmelir ostí grmhumhi o`82 hfvfsfi`os y oj `i`fus tfo`o cf`ci hfvfsfi`os (e' 5 ?) quo cif`cfho` ci` cumtri hojtmelir (e'-=58).
Cmjcujmr;
m) Oj gfri (B) hoj pjmti pir cmhm vuojtm ciepjotm hoj tmelir4
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l) Oj gfri (G) hoj pjmti pir cmhm hfvfsfó` hoj tmelir4c) Oj grmhi ho mprixfemcfó` (g) muxfjfí`hiso hoj `i`fus4h) Oj `ûeori ho vuojtms o`torms y hfvfsfi`os quo so bm ho gfrmr oj tmelir grmhumhi, msåciei oj `ûeori ho hfvfsfó` o` oj `i`fus, quo so bm ho bmcor cif`cfhfr pmrm romjfzmr u` gfriho =8¾ =7'.
\osijucfó`;
m) Ciei so smlo, jm rojmcfó` ho trm`sefsfó` o`tro oj vijm`to i em`fvojm hoj tmelir
grmhumhi y oj oko ho jm ciri`m bojfcifhmj os=
D f 5 . Sf mj vijm`to so jo bmco gfrmr u`m
vuojtm, oj gfri hoj pjmti oxprosmhi o` armccfó` ho vuojtm. sorí;
B
D =
=5
D B
=5
y oxprosmhi o` u`fhmhos m`gujmros (grmhis);
D D B
31>31>
=5×5 Sustftuyo`hi »8
6>
31>55 B
l) 8¾ 5 <8>' ?̧82
¸<8>55G
c) Sf oj `i`fus ostí privfsti ho e' hfvfsfi`os quo cif`cfho` ci` e' - = hfvfsfi`os hojtmelir grmhumhi, oj grmhi ho mprixfemcfó` os;
¸e
Gg 5 =̧
?
?̧55g
h) Cíjcuji ho jms vuojtms hoj tmelir.
3»8
¸=7»=8¸=7»=855
B vuojtms y u` rosti ho <¾ =7'
Cíjcuji ho jms hfvfsfi`os hoj tmelir
<»=7¸5=37¸ 4 <7?
¸=37=3755
Ghfvfsfi`os y u` rosti ho <'
Cíjcuji ho jms hfvfsfi`os hoj `i`fus,
<=
<<̧55
g hfvfsfi`os
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