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MAKALAH ALAT UKUR
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MAKALAH ALAT UKUR
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OAO J VLD@AB\H\AD
1$1
VLDCL_PJAD AMVL_LMLPL_ Mld|r|p [|vjzadpn "?667912;* °Amvlrlmlplr apa| ammlplr a`ahab ahap zadc
`avap `jc|daead |dp|e mldc|e|r e|ap ar|{ hj{prje `aham radceajad$° Zn|dc `ad Grll`mad "?6609?72* mldzlo|pead »[lo|ab jd{pr|mld vldc|e|r ar|{ oja{adza `jdamaead ammlplr "apa| mjhjammlplr( mjernammlplr( `ad {loacajdza( zadc olrcadp|dc va`a iadcea|ad vldc|e|rdza*$ [lo|ab ammlplr {lhah| mldc|e|r ar|{ zadc mlhah|jdza$° Hlojb hadi|p _abmj "?66391?2* mldzlo|pead »Amvlrlmlplr a`ahab ahap |dp|e mldc|e|r e|ap ar|{ hj{prje$ \dp|e mldc|e|r ol{ar e|ap ar|{ hj{prje va`a radceajad( amvlrlmlplr `j{|{|d {lkara {lrj `ldcad easap vldcbadpar$ \dp|e mlhamoadcead amvlrlmlplr amvlrlmlplr `jc|daead `jc|daead {jmonh {j monh A va`a {eaha$° Ia`j `avap `j{jmv|head( Amvlrmlplr a`ahab ahap zadc `jc|daead |dp|e mldc|e|r ol{ardza e|ap ar|{ hj{prje `aham radceajad plrp|p|v$ Amvlrlmlplr mlmv|dzaj bamoapad `aham zadc {adcap elkjh {lbjdcca `aham vlmaeajaddza bar|{ `jb|o|dcead {lkara {lrj va`a radceajad zadc `j|e|r$ Amvlrlmlplr zadc `jc|daead |dp|e
mldc|e|r
e|ap
ar|{
zadc
elkjh
"`aham
{eaha
mjhjamvlrl*
`j{lo|p
mjhjamvlrlmlplr$ Mjhjamvlrlmlplr i|ca `avap `jc|daead |dp|e mldc|e|r e|ap ar|{ hj{prje zadc ol{ar "`aham {eaha amvlrl* `ldcad kara mldamoabead bamoapad kaoadc "{b|dp*$ @ldcad a`adza bamoapad kaoadc "{b|dp* jp|( olrarpj mjhjamvlrlmlplr `avap mldc|e|r e|ap ar|{ hj{prje zadc mlhlojbj oapa{ |e|rdza$ Bah plr{lo|p `jearldaead `ldcad vlma{adcad bamoapad {b|dp aead mldajead oapa{ |e|r amvlrlmlplr( maea
1
elhlojbad ar|{ va`a amvlrlmlplr aead mldcahjr mlhlsapj bamoapad {b|dp$ @ldcad olcjp|( amvlrlmlplr `avap mldc|e|r ol{ardza {lh|r|b ar|{ zadc mldcahjr va`a radceajad plr{lo|p$ Ba{jh vldc|e|radza aead `avap plroaka va`a {eaha zadc a`a va`a amvlrlmlplr$ G|dc{j `arj va`a bamoapad {b|dp zadc `j{|{|d {lkara varahlh zajp| |dp|e mldcbamoap ar|{ hj{prje zadc ol{ar$ Nhlb earlda jp|( ar|{ pj`ae {lh|r|bdza mlhah|j amvlrmlplr earlda elhlojbad ar|{ plhab `jbamoap nhlb bamoapad {b|dp$
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1$?
VLDLM\ AMVL_MLPL_
Ad`rl-Marjl Amvlrl a`ahab {lnradc jhm|sad Vradkj{ Vra dkj{ {lroa oj{a zadc mldia`j
{ahab {ap| vlhnvnr `j oj`adc hj{prje `jdamj{ "lhleprn`jdamjea*$ Olhja| `jhabjread `j Vnhlmjl|-a|-M Vnhlmjl| -a|-Mndp-`·Nr( ndp-`·Nr( `leap enpa enpa Hznd va`a ?6 Iad|arj 133< `ad mldjdc mldjdccah cah `|dja `|dja va`a padccah 16 I|dj 12;7 va`a |m|r 71 pab|d$ Damadza `jaoa`jead {loacaj {ap|ad e|ap ar|{ hj{prje |dp|e mldcbnrmapj ia{a-ia{adza$ Amvlrl a`ahab nradc vlrpama zadc mldclmoadcead ahap |dp|e mldc|e|r ol{arad-ol{arad hj{prje$ [lhajd jp|( olhja| i|ca nradc vlrpama zadc mldcamapj oabsa `|a oapadc end`|epnr zadc `jhlpaeead olr`amvjdcad `ad el`|adza mldcahjread ar|{ hj{prje {larab aead {ahjdc parje-mldarje {l`adcead ijea olrhasadad arab aead {a hjdc pnhae-mldnhae$
;
OAO JJ AMVL_LMLPL_
?$1
G\DC[J AMVL_LMLPL_
G|dc{j amvlrlmlplr a`ahab |dp|e mldc|e|r ol{ardza e|ap ar|{ hj{prje zadc mldcahjr mlhah|j {|ap| enmvndld hj{prje( mj{ahdza rl{j{pnr$ Amvlrlmlplr oja{adza `jva{adc {lkara {lrj "olr`lrlp* `ldcad lhlmld hj{prje$ [lhajd jp|( mldcc|daead amvlrlmlplr mlm|dcejdead oacj ejpa |dp|e mldclpab|j ol{ardza ar|{ zadc plrvaeaj nhlb oload hj{prje {lrpa mlm|`abead ejpa mldclpab|j ol{ar {lerjdc zadc amad |dp|e oload hj{prje$ Amvlrlmlplr i|ca oadzae `jmadgaapead va`a oldcelh-oldcelh mnojh( {lvlrpj |dp|e mldc|e|r ar|{ `jdamn j{j.ahplrdapnr( mldc|e|r makam-makam oload hj{prje {lrpa mldkarj {|molr ar|{ onknr zadc mldcaejoapead aej {lrjdc plenr$
?$?
V_JD[JV EL_IA AMVL_LMLPL_ Va`a `a{ardza vrjd{jv elria `arj va`a amvlrlmlplr bamvjr {ama `ldcad
wnhpmlplr `ad cahwadnmlplr$ Bah jdj `jearldaead amvlrlmlplr `j{|{|d `arj {lo|ab cahwadnmlplr `ad {ap| apa| hlojb rl{j{pnr zadc `j{lo|p rl{j{pnr {b|dp$ Mld|r|p Pjvhlr "1::79?66* »Ammlplr olrj{j cahwadnmlplr vh|{ {lo|ab rl{j{pnr varahlh zadc `j{lo|p rl{j{pnr {b|dp$ \dp|e mldc|e|r ar|{ mlhah|j {|ap| rl{j{pnr( ammlplr `j{j{jvead {lkara {lrj `ldcad rl{j{pnr$ Ammlplr mlmjhjej rl{j{pad{j zadc {adcap elkjh {lbjdcca mlmjhjej lgle zadc elkjh plrba`av ar|{ zadc `j|e|r$°
0 0
Amvlrlmlplr olelria olr`a{aread vrjd{jv caza macdlpje "caza h nrldyp*( `jmada ar|{ mldcahjr mlhah|j e|mvarad zadc `jhjdce|vj nhlb ml`ad macdlpje( aead pjmo|h caza hnrldyp zadc mldcclraeead iar|m vld|di|e mldzjmvadc$ Avaojha ar|{ zadc mlhlsapj e|mvarad ol{ar( maea caza zadc pjmo|h i|ca aead mlmol{ar `ldcad `lmjejad vldzjmvadcad iar|m vld|di|e i|ca aead hlojb ol{ar$ @lmjejad {loahjedza( elpjea e|ap ar|{ pj`ae a`a maea iar|m vld|di|e aead elmoahj el vn{j{j {lm|ha nhlb vlca{$ Ol{ar caza zadc `jmae{|` {l{|aj `ldcad vrjd{jv caza hnrldyp( zajp|9 G = O$J$H Mld|r|p Zn|dc `ad Grll`mad "?6609?72*9 »Ahap |e|r |dp|e mldc|e|r ar|{ zadc hlojb ol{ar `arj va`a vlmoakaad {eaha vld|bdza `ldcad mlzamo|dcead {lo|ab rl{j{pnr varahlh `ldcad {amo|dcad `aham `arj {lo|ab ammlplr e|mvarad zadc olrclrae {lbjdcca {loacjad ar|{ aead mldcbjd`arj "pj`ae mlhah|j* e|mvarad ahap |e|r jp|$ _l{j{pnr varahlh jdj `jdamaead rl{j{pnr hadc{jr "{b|dp rl{j{pnr* apa| {lo|ab hadc{jr "{b|dp* {aia( zadc `jdzapaead `ldcad $° @aham vldcc|daad amvlrlmlplr( ijea iar|m va`a amvlrlmlplr mlhlsapj oapa{ {eaha mae{jmah( olrarpj ar|{ zadc `j|e|r hlojb ol{ar `arj elmamv|ad ahap jp| {ld`jrj$ Acar amvlrlmlplr `avap `jc|daead |dp|e mldc|e|r e|ap ar|{ zadc ol{ar( maea elmamv|ad `arj amvlrlmlplr bar|{ `jpjdceapead `ldcad mlma{adc bamoapad {b|dp {lkara varahlh plrba`av amvlrlmlplr$ @ldcad olcjp|( elhlojbad ar|{ aead mldcahjr el bamoapad {b|dp$ Ol{ar bamoapad {b|dp plrcadp|dc va`a olrava eahj elmamv|addza aead `jpjdceapead$
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_|m|{ Bamoapad [b|dp9
@ldcad 9
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ENMVNDLD AMVL_LMLPL_ Oacjad-oacjad amvlrlmlplr i|ca {ama bahdza {lvlrpj wnhpmlplr zajp| plr`jrj `arj
{eaha vld|di|e ol{ardza ar|{( {lp|v vldcap|r g|dc{j( `ad e|p|o vn{jpjg-dlcapjg$ ?$;$1
[EAHA VLD\DI\E [eaha vld|di|e va`a amvlrlmlplr olrg|dc{j {loacaj iar|m zadc
mld|di|eead ol{ardza ar|{ zadc mlhah|j a mvlrlmlplr mvlrlmlplr plr{lo|p$ p lr{lo|p$
7
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[LP\V VLDCAP\_ G\DC[J [lp|v vldcap|r g|dc{j va`a amvlrlmlplr `avap `jv|par$ [lhajd jp|( `j
{amvjdc |dp|e mlmjhjb g|dc{j$ [lp|v vldcap|r g|dc{j plr{lo|p i|ca `jc|daead |dp|e mlmjhjb oapa{ |e|r$
3
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E\P\V VN[JPJG @AD DLCAPJG \m|mdza e|p|v vn{jpjg va`a amvlrlmlplr `jb|o|dcead `ldcad easap
zadc olrsarda mlrab( {l`adcead e|p|v dlcapjg `jb|o|dcead `ldcad easap za dc olrsarda bjpam apa| sarda ojr|$
?$0
ILDJ[-ILDJ[ AMVL_LMLPL_ Mld|r|p Eadcjdad "?66?9?31* »Ahap |e|r hj{prje a`ahab ahap |dp|e mldc|e|r
ar|{ hj{prje "`j{lo|p amvlrlmlplr*( plcadcad hj{prje "`j{lo|p wnhpmlplr* `ad bamoapad hj{prje "`j{lo|p nbmmlplr*$ Oaje amvlrlmlplr( wnhpmlplr( `ad nbmmlplr plr`jrj `arj `|a ildj{( zajp|9 adahnc `ad `jcjpah°$ A`a olrmakam-makam oldp|e `arj va`a amvlrlmlplr( dam|d {lkara carj{ ol{ar a`a `|a makam ijea `jpjdia| `arj vldamvjhad vldc|e|rad( zajp| amvlrlmlplr adahnc `ad amvlrlmlplr `jcjpah$
2
?$0$1
AMVL_LMLPL_ ADAHNC Amvlrlmlplr adahnc mlr|vaead amvlrlmlplr zadc `aham
vldcc|daad `ad ba{jh vldc|e|raddza `jvlrnhlb mlhah|j vrn{l{ vlrbjp|dcad {lkara mad|ah$ Vrjd{jv elria `arj amvlrlmlplr adahnc a`ahab {jdzah hj{prje zadc `j |oab el`aham plcadcad( elm|`jad `jpamvjhead mlhah|j vldzjmvadcad vldzjmvadcad iar|m$ Enmvndld `arj amvlrlmlplr adahnc jdj {ld`jrj plr`jrj `arj lhleprnmacdlp `ad iar|m$ Ijea plcadcad ol{ar maea ar|{ zadc hlsap e|mvarad ol{ar( {lbjdcca vldzjmvadcad iar|mdza ol{ar$ Ijea plcadcad elkjh( maea vldzjmvadcad iar|mdza i|ca elkjh$ Amvlrlmlplr zadc oadzae `jva{arad a`ahab ildj{ adahnc$ A`av|d ele|radcad `arj va`a vldcc|daad amvlrlmlplr adahnc( zajp| `jo|p|beaddza elplramvjhad zadc hlojb `aham mlmoaka ba{jh vldc|e|rad$
:
?$0$?
AMVL_LMLPL_ @JCJPAH
Amvlrlmlplr `jcjpah mlr|vaead ildj{ amvlrlmlplr zadc kara vldcc|daadza k|e|v {l`lrbada$ Va`a amvlrlmlplr `jcjpah ejpa {|`ab pj`ae vlrh| hacj mlhae|ead vldcbjp|dcad( k|e|v `ldcad mlhjbap adcea ba{jh vldc|e|rad zadc aead plrplra va`a hazar HK@$ Bah jdj `j{loaoead a`adza {lo|ab ahap zadc aead mldcendglr{jead ba{jh djhaj vldc|e|rad el`aham hazar {lcmld zadc hadc{|dc `avap `jdjhaj ba{jh vldc|e|radza vldc|e|radza padva bar|{ mldcbjp|dc hacj$ Vrjd{jv elria amvlrlmlplr `jcjpah a`ahab {jdzah hj{prje zadc `j|oab el`aham plcadcad elm|`jad `jpamvjhead mlhah|j hazar hazar HK@ "Hjq|j` "Hjq|j ` Krz{pah @j{vhaz*$
?$<
ELHLOJBAD @AD ELE\_ADCAD AMVL_LMLPL_ ?$<$1
ELHLOJBAD AMVL_LMLPL_ 1$ Mamv| mld`lple{j ar|{ elkjh zadc mlhah|jdza5 ?$ Mlmjhjej bamoapad bamoapad "rl{j{pad{j* "rl{j{pad{j*
zadc {adcap elkjh elkjh {lbjdcca {lbjdcca badza badza
{l`jejp vlr|oabad zadc plria`j va`a ar|{ zadc `j|e|r5
16
;$ Plr{|{|d apa{ mjernamvlrlmlplr `ad {b|dp zadc olrc|da |dp|e mld`lple{j mld`lple{j a`a p j`aedza ar|{ mlhah|j radceajad( earlda djhaj e|ap ar|{ zadc elkjhv|d `avap plr`lple{j$
;$<$?
ELE\_ADCAD AMVL_LMLPL_ 1$ Mlmjhjej elmamv|ad mldc|e|r mldc|e|r e|ap e|ap ar|{ {amvaj oapa{ plrpldp| zadc zadc oja{a `j{lo|p oapa{ |e|r "O\*$
11
OAO JJJ VLDCC\DAAD AMVL_LMLPL_
;$1
KA_A MLDCC\DAEAD AMVL_LMLPL_ @aham vldcc|dad amvlrlmlplr bar|{ `jva{adc {lrj va`a el`|a |i|dc radceajad
hj{prje zadc aead `jkarj ol{ar ar|{dza( `ldcad kara mlmnpndc vldcbadpar acar ar|{ mlhlsapj amvlrlmlplr$ Mld|r|p Pjvhlr "1::791:;*9 »\dp|e mldc|e|r ar|{ zadc mlhah|j rl{j{pnr `aham {|ap| radceajad {l`lrbada( plmvapead ammlplr {lkara {lrj `ldcad rl{j{pnr$ [lbjdcca ammlplr `ad rl{j{pnr mlmoasa ar|{ zadc {ama$ Earlda ammlplr mlmjhjej rl{j{pad{j( ar|{ `aham radceajad {l`jejp olre|radc olre|radc earlda a mmlplr mmlplr `j{j{jvead$° `j{j{jvead$° Ijea aead mldc|e|r ar|{ zadc mlhlsapj vldcbadpar `ldcad mldcc|daead amvlrlmlplr amvlrlmlplr maea amvlrlmlplr bar|{ `jva{adc {lrj `ldcad kara mlmnpndc vldcbadpar acar ar|{ mldcahjr mlhlsapj amvlrlmlplr$ Elm|`jad {amo|dcead amvlrlmlplr el vldcbadpar zadc plhab `jvnpndc$ [lplhab amvlrlmlplr plrva{adc ejpa `avap mldclpab|j ol{ar e|ap ar|{ zadc mldcahjr mlhah|j vldcbadpar `ldcad mlmoaka amvlrlmlplr mlhah|j iar|m vld|di|edza$ vld|di|edza$
1?
Avaojha {aap mldc|e|r e|ap ar|{( iar|m mldzjmvadc mlhlsapj oapa{ |e|r mae{jmah$ Jdj mld|di|eead oabsa e|ap ar|{ zadc `j|e|r hlojb ol{ar `arj oapa{ elmamv|ad ahap |e|r plr{lo|p$ Nhlb earlda jp|( ejpa bar|{ mlma{adc bamoapad {b|dp {lkara varahlh va`a amvlrlmlplr( zadc `jvlrhjbapead va`a camoar `joasab jdj$
Camoar$ _adceajad bamoapad [b|dp "_ {b * * Amvlrmlplr |dp|e mlmvlrol{ar oapa{ |e|rdza
1;
;$?
KA_A MLDCBJP\DC @aham mlmoaka amvlrlmlplr bar|{ `jvlrbapjead i|ca earaeplrj{pje ahap |e|r
earlda iar|m vld|di|e pj`ae {lhah| mldzapaead adcea ava a`adza$ E|ap ar|{ "J* zadc mldcahjr mldcahjr mlhlsapj amvlrlmlplr amvlrlmlplr `avap `jbjp|dc `ldcad r|m|{ `joasab jdj9
10
OAO JW VLD\P\V
EL[JMV\HAD 1$ Amvlrlmlplr a`ahab ahap zadc `avap `jc|daead |dp|e mldc|e|r ol{ardza e|ap ar|{ hj{prje `aham radceajad plrp|p|v$ plrp |p|v$ ?$ G|dc{j amvlrlmlplr a`ahab |dp|e mldc|e|r ol{ardza e|ap ar|{ hj{prje zadc mldcahjr mlhah|j {|ap| enmvndld hj{prje( mj{ahdza rl{j{pnr$ Amvlrlmlplr oja{adza `jva{adc {lkara {lrj `ldcad lhlmld hj{prje$ ;$ Amvlrlmlplr olelria olr`a{aread vrjd{jv caza macdlpje "caza hnrldyp*( `jmada ar|{ mldcahjr mlhah|j e|mvarad zadc `jhjdce|vj nhlb ml`ad macdlpje( aead pjmo|h caza hnrldyp zadc mldcclraeead iar|m vld|di|e mldzjmvadc$ 0$ Amvlrlmlplr plr`jrj `arj `|a ildj{( zajp|9 amvlrlmlplr adahnc `ad amvlrlmlplr `jcjpah$ <$ E|ap ar|{ zadc mldcahjr mlhah|j amvlrlmlplr `avap `jbjp|dc `ldcad r|m|{9
d= d=
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@AGPA_ V\[PAEA
Ao`|hhab( Mjerai|``jd$ ?667$ JVA Gj{jea [M V `ad Mp{ |dp|e Elha{ JR$ Ijhj` ;$ Iaearpa9 Lrhadcca$ J{pjzndn( J{pjzndn( L`j$ ?663$ [lrj JVA Gj{jea ; [M V Elha{ JR$ Iaearpa9 Z|`bj{pjra$ Z|`bj{pjra$ Eadcjdad( Marpbld$ ?66?$ Gj{jea ?66?$ Gj{jea |p|e [M A Elha{ R $ Iaearpa9 Lrhadcca$ _abmjdj( [rj(`ee$ ?663$
JVA
Plrva`| ; elha{
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Adlea Jhm|$ [|vjzadpn$ ?667$ Gj{jea ?667$ Gj{jea |dp|e [M A elha{ R $ Iaearpa9 Vbjolpa$ Pjvhlr $ 1::7$ Gj{jea Gj{jea |dp|e [ajd{ `ad Pledje L`j{j elpjca ijhj` ? $ Iaearpa9 Lrhadcca$ Zn|dc `ad Grll`mad$ ?660$ Gj{jea \djwlr{jpa{ L`j{j el{lv|h|b Ijhj` ?$ Iaearpa9 Lrhadcca$ Bppv9..sss$ {lm|pjplmvrn$ohnc{vnp$knm.?611.6;. {lm|pjplmvrn$ohnc{vnp$knm.?611.6;. amvlrlml plr$bpmh
17
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