e¨envwiK : gvbwPÎ I †¯‹j




gvbwP‡Îi aviYv, Dcv`vb, e¨envi, kÖwYwefvM, ms‡KvPb, cÖmviY, ¯j I ¯ji kÖwYwefvM m¤ú‡K© Ávb _vKv cÖqvRb| G¸jvi meB e¨envwiK f‚‡Mv‡ji cÖavb Av‡jvP¨ welq|


gvbwP‡Îi aviYv, Dcv`vb I e¨envi


§  gvbwP‡Îi aviYv I Dcv`vbmg~n e¨vL¨v Ki‡Z cvieb Ges

§  gvbwP‡Îi e¨envi m¤ú‡K© ej‡Z cvieb|

gvbwP‡Îi aviYv

c„w_exi gnv‡`k Ges gnvmvMimg~‡ni wewfbœ As‡ki mxgv, AvqZb, Ae¯’vb Ges Zv‡`i ga¨Kvi

cvúwiK `~iZ¡ eySv‡bvi Rb¨ wbw`©ó gvcbxi (Scale) †cÖw¶‡Z mgMÖ f‚-c„‡ôi Askwe‡kli †h bKkv cÖ¯‘Z Kiv

nq, Zv‡K gvbw e‡j| wewfbœ cÖKvi ms‡KZ Ges is (Kvjvi) e¨env‡ii gva¨‡g f‚-c„‡ôi wewfbœ  ¯’vb¸‡jvi cvúwiK `~iZ¡, AvqZb I mxgv wVK iL cÖvK…wZK wewfbœ cÖ (‡hgb : f‚-cÖK…wZ, b`-b`x, cvnvo, mgy`ª, mgy`ª

†¯ªvZ) Ges A_©bwZK welqvw` ((‡hgb : avb, cvU Mg Drcv`b) wkí-KviLvbv Ges bMi welqK welqv`x (hgb : MÖvgxb emwZ, cŠiemwZ) cÖf„wZ gvbwP‡Î wewfbœ ms‡KZi gva¨‡g `Lv‡bv nq| wekl gvb wfwËK G w Aw¼Z nq e‡j G‡K gvbw e‡j| gvbw A¼‡bi Rb¨ me©cÖ_g cÖqvRb ¯j I Awf¶c|

f‚‡Mvjwe`‡`i g‡Z- ÔÔcÖPwjZ mvs‡KwZK wPý, wbw`©ó ¯j I Awfci mvnv‡h¨ mgZj KvM‡Ri Dci Aw¼Z mgMÖ c„w_ex ev Gi Askwe‡k‡li cÖwZiƒcK gvbw e‡jÕÕ|

gvbwP‡Îi Dcv`vb : gvbwP‡Îi cÖavb Dcv`vb 5wU | †hgb- 1) mxgvbv 2) ¯j, 3) A¶‡iLv I vwNgv‡iLv, 4) DËiw`K Ges 5) wk‡ivbvg I mvs‡KwZK wPý|

1.       mxgvbv (Boundary ): cÖwZwU gvbwP‡Îi Pvwicv‡k wbw`©ó mxgvbv _vK‡e|

2.       iw`K (North Line) : cÖwZwU gvbwP‡Îi DËi w`K N ev i ev ( ) GB A¨v‡ivwP‡ýi gva¨‡g `LvZ n‡e| A¨v‡ivw me©`v gvbwP‡Îi Dcii w`K _vK‡e|

3.       AiLv I vwNgviLv (Latitude and Longitude) : †h GjvKvi gvbw †mB GjvKvi A¶‡iLv I

vwNgv‡iLv mwVKfv‡e `Lv‡Z n‡e|

4.       ¯j (Scale) : gvbwwU Aek¨B wbw`©ó ¯j A¼b KiZ n‡e| gvbwP‡Î h Kv‡bv `ywU ¯’v‡bi ga¨ `~iZ¡ Ges f- c„‡ô ev fwgfv‡M H `ywU ¯v‡bi ga¨ cÖK…Z `~iZ¡i h AbycvZ ev m¤úK© Zv‡K gvcbx ev ¯j  e‡j|

5.       wkivbvg I mvs‡KwZK w (Headings and Symbols) : gvbwP‡Îi wk‡ivbvg D‡jøL K‡i wel‡qi mv‡_

gvbwP‡Îi welqvw` mwVK ms‡K‡Zi mvnv‡ D‡jøL Ki‡Z n‡e|

gvbwP‡Îi e¨envi : gvbwP‡Îi e¨envwiK ¸iyZ¡ Acwimxg| wbgœ gvbwP‡Îi e¨envi D‡jøL Kiv n‡jv-

1.       h Kv‡bv ¯’v‡bi fЇMvwjK Z_¨mg~n mwVKfv‡e gvbwP‡Îi gva¨‡g cÖKvk Kiv hvq|

2.       gvbwP‡Îi mvnv‡h¨ MÖvg, kni, ¯’jc_, Rjc_, b`b`x, cvnvo, ce©Z, gvjf‚wg, mgf‚wg, cU‡bi  ¯’vbmg~n, f‚-cÖK…wZ, K…wlR, wkíRvZ `ªe¨ Drcv`b, e›Ub cÖf…wZ m¤ú‡K© we¯ÍvwiZ Z_¨ gvbwP‡Îi gva¨‡g  cÖ`wk©Z nq e‡j


mnR Z_¨mg~n weklø


Y Kiv hvq|


3.       gvbwP‡Îi gva¨‡g wewfbœ ¯’v‡bi `~iZ¡ wbY©q Kiv hvq GZ hvZvqvZ mnR nq|

4.       wewfbœ aibi gvbw cÖvK…wZK f‚‡Mv‡ji ¯’vbK mg„× Ki‡Q| †hgb- AvenvIqv gvbw †_‡K  AvenvIqv, g„wËKv gvbw †_‡K g„wËKv, mgy`ª †¯ªv‡Zi gvbw †_‡K mvgyw`ªK ¯ªvZmg~n cÖf…wZ m¤úK© AewnZ nIqv hvq|


 

5.       mgy‡ RvnvR Pvjv‡Z, wegvb åg‡Y gvbw m¤ú‡K© Ávb _vKv cÖqvRb| GgbwK hyׇ¶‡Î kÎyi  Ae¯’vb Rvb‡ZI gvbwP‡Îi Ávb cÖqvRb|

6.       cÖkvmwbK Kg©KvÛ, cÖvK…wZK m¤ú` msiY Ges cwiKíbv cÖYqbi Rb¨ gvbw e¨eüZ nq|

 


es

 
wbPi Aby‡Q`wU cob G 1, 2 I 3 bs cÖkœi w`b|

dqmvj GKv`k kÖwYi QvÎ| wk¶K e¨envwiK K¬v‡mi cÖ_g w`b evsjv‡`ki gvbw `Lv‡jb| wk¶K cÖ`wk©Z gvbwP‡Î †Kvb †Kvb wel‡qi D‡jøL iq‡Q Zv wv_©x‡`i cY Ki‡Z ejjb|

1|   gvbwP‡Îi cÖavb Dcv`vb KqwU?

(K) 5wU                                             (L) 6wU

(M) 7wU                                              (N) 8wU

2|   gvbwP‡Îi DËi w`K ev North line †`Lv‡bvi Rb¨ A¨v‡ivwPý †Kvb w`K `Lv‡bv nq?

(K) wbPi w`K                                       (L) Dcii w`‡K

(M) gvSvgvwS                                           (N) Wvbw`K

3|  ¯ji ˆew¨mgyn wœiƒc-

. gvbw wbw`©ó ¯j A¼b Ki‡Z n‡e

i

i

 
. gvbwP‡Î `ywU ¯’v‡bi `~iZ¡ Ges f‚-c„‡ô `ywU ¯’v‡bi ga¨Kvi `~i‡Z¡i AbycvZ n‡jv ¯j

i

. ¯ji mvnv‡h¨ `~iZ¡ mn‡R cwigvc Kiv hvq|

iii

wbPi KvbwU mwVK?

(K) i (L) ii I iii (M) i, ii I iii (N) iii

4|    h Kv‡bv ¯’v‡bi fЇMvwjK Z_¨mg~n Kx‡mi mvnv‡h¨ ¯j e¨envi K‡i my›`ifv‡e Dc¯’vcb Kiv hvq?

(K) gvbw                                          (L) jLw

(M)    cvBw                                          (N) eviw


 


gvbwPÎi †kÖwYwefvM (

G cvV kl Avcwb-

§  gvbwP‡Îi kÖwYwefvM e¨vL¨v I we‡kølY Ki‡Z cvieb|

 

gvbwP‡Îi kÖwYwefvMgvbwP‡Îi †¯‹j‡K cÖavbZ wZbwU wel‡qi wfwËZ †kªwYwefvM Kiv nq‡Q| h_v- K. e¨envwiK we‡klZ¡ I welqe¯‘ Abymv‡i L. ¯ji Dci wfwË K‡i Ges M. fЇMvwjK Dcv`v‡bi wfwˇZ|

K.   e¨envwiK weklZ¡ I welqe¯‘ Abymvi : e¨envwiK we‡klZ¡ I welqe¯‘ Abymv‡i gvbwK cÖavb cuvPwU fv‡M wef³ Kiv n‡q‡Q| h_v-

1.      

Cadastral Maps) :

 
gŠRv gvbw (                               f‚wg Rwi‡ci gva¨‡g cÖ wewfbœ f- m¤úwË, K…wl‡¶Î, evwoNi, Ab¨vb¨

¯’vcbvi mxgvbv A¼b Kiv nq h gvbwP‡Î Zv‡K gŠRv gvbwPÎ ev m¤úwË Rwic gvbw e‡j| †gŠRv gvbwP‡Î Rwgi


gvwjKvbv  bw_f³z


Kiv nq| GB gvbwP‡Î f‚-c„‡ôi AwZ¶z`ª As‡ki cÖwZiƒc cÖ`k©b Kiv nq e‡j †gŠRv  gvbw


A¼b Ki‡Z Awfci cÖ‡qvRb nq bv| gŠRv gvbwP‡Î cÖwZf~ AbycvZ mvaviYZ 6"=1 gvBj, 25"=1 gvBj aiv nq| evsjv`ki gŠRv gvbwP‡Îi ¯j 16"= 1 gvBj †_‡K 64"=1 gvBj Ges Ab¨vb¨ †`‡k gŠRv gvbwP‡Îi

¯j 1:20,000 aiv nq|

2.       f‚-ms¯’vwbK gvbw (Topographical Map) : f‚wgi eÜziZv, b`-b`x, ebR½j, cwienb c_, kni,  MÖvg,

e`i, Nievwo, f‚wgi e¨envi cÖf…wZ wewfbœ f- cÖvK…wZK cÖmg~n‡K wewfbœ mvs‡KwZK w ev cÖZxK, we`y Ges i‡Oi gva¨‡g h gvbwP‡Î Dc¯’vcb Kiv nq Zv‡K f‚-ms¯’vwbK gvbw e‡j| f‚-ms¯’vwbK gvbwP‡Îi †¯‹j wewfbœ


4.       `Iqvj gvbw (Wall Map) : kÖwYK mgMÖ c„w_ex, gnv‡`k ev `ki Z_¨vw`, Kv‡bv GKwU †Mvjv‡a©

QvÎ-QvÎx`i wbKU Dc¯’vc‡bi Rb¨ †h eo AvKvii gvbwPÎ e¨envi Kiv nq Zv‡K `Iqvj gvbw (Wall Map)

e‡j| GQvov miKvwi I †emiKvwi Awdm, mvgwiK `ßi Ges evmvevwoZ GB gvbw e¨eüZ nq| G gvbwP‡Îi

¯j f‚-ms¯’vwbK I f‚wvewji gvbwP‡Îi ga¨eZ©x cv‡qi nq|

5.       f‚-wPÎvejx (Atlas) : f-wPÎvejx‡Z mvaviYZ f- cÖvKwZK, Rjevqy, KwlR, LwbR, w, kni, bMi  ¯’jc_ BZ¨vw` wel‡qi Z_¨vw` wewfbœ is I wP‡ýi gva¨‡g cÖKvk Kiv nq| GB ai‡bi gvbwP‡Îi ¯j  mvaviYZ 1t1000,000 ev 1t1000,000,000 n‡q _v‡K|

L.     ¯ji Dci wfwË K‡i: ¯ji Dci wfwË K‡i gvbwK cÖavb `yÕfv‡M fvM Kiv hvq| h_v-

1.    ¶z`ª ¯ji gvbw : hLb e¨vcK GjvKv‡K †QvU Ki KvM‡R A¼b Kiv nq ZLb Zv‡K ¶z`ª ¯ji gvbw e‡j| G †¶‡Î mgMÖ c„w_ex ev gnv`k ev `ki eo GjvKv‡K GKwU †QvU KvM‡R `Lv‡bv nq|  f‚-wvejxi gvbw I `Iqvj gvbw ¶z`ª ¯ji gvbwPÎ|


 

2.    e„nr ¯ji gvbw : ¶z`ª GjvKv‡K e„nr †¯‹‡j A¼b K‡i hLb A‡bK eo K‡i `Lvb nq, ZLb Zv‡K e„nr

¯ji gvbw e‡j| †hgb, 1"=16 gvBj; 16"= 1gvBj| †hgb †gŠRv gvbw ev K¨vWv÷ªvj gvbwPÎ, f‚-ms¯’vwbK gvbw e„nr ¯ji gvbwPÎ|

M.  fЇMvwjK Dcv`v‡bi Dci wfwË K‡i : fЇMvwjK Dcv`v‡bi Dci wfwË K‡i gvbwPÎK cÖavb `yÕfv‡M fvM Kiv nq‡Q| h_v : cÖvK…wZK gvbw I mvs¯‹…wZK gvbwPÎ|

1.    cÖvK…wZK gvbw (Physical Map): cÖvK…wZK f‚‡Mv‡ji cÖvK…wZK welqvw` h gvbwP‡Î Dc¯’vcb Kiv nq Zv‡K cÖvK…wZK gvbw e‡j| cÖvK…wZK gvbw e„nr ¯j A¼b Kiv nq| mvaviYZ cÖvK…wZK gvbwP‡Î  f~wgi  eÜziZv

m‡gvbœwZ iLvi gva¨‡g `Lv‡bv nq| GQvov moKc_, ijc_, †bŠc_, Dw¢`i eÈb, g„wËKvi cÖKvi‡f`  cÖf…wZ cÖvK…wZK gvbwP‡Î Dc¯’vcb Kiv nq|

2.     mvs¯…wZK gvbw (Cultural Map): h gvbwP‡Î mvs¯‹…wZK Z_¨vw` Dc¯’vwcZ nq Zv‡K mvs¯‹…wZK  gvbw e‡j| A_©bwZK, ivRbwZK, HwZnvwmK, mvgvwRK cÖf„wZ Z_¨vw` mvs¯‹…wZK gvbwP‡Îi gva¨‡g Dc¯’vcb Kiv nq| mvs¯‹…wZK gvbwP‡Î cÖPwjZ wPý, we›`y, QvqvcvZ, åy‡jL cÖf…wZ e¨envi K‡i Z_¨ I DcvË Dc¯vcb Kiv nq|


(K) welqwfwËK gvbw                                 (L) cwigvYMZ gvbw

(M) HwZnvwmK ms¯’vcb                                  (N) KvbwUB bq

2|    f‚-ZvwË¡K gvbwPÎ, g„wËKv gvbwPÎ, AvenvIqv I Rjevqy gvbwPÎ, eÜziZv gvbw cÖf…wZ †Kvb  ai‡bi gvbwP‡Îi D`vniY?

(K) mvs¯‹…wZK gvbw                                   (L) cÖvK…wZK gvbw

(M) ¶z`ª ¯ji gvbw                              (N) KvbwUB bq 3| cÖvK…wZK gvbw †Kvb ¯j A¼b Ki‡Z nq?

(K) ¶z`ª ¯ji gvbw                            (L) e„nr ¯ji gvbw

(M) ¶z`ª I e„nr †¯ji gvbw                      (N) KvbwUB bq


4|    A_©bwZK, HwZnvwmK, mvgvwRK cÖf…wZ Z_¨ †Kvb aibi gvbwP‡Îi AšfÍ

(K) mvs¯‹…wZK gvbw                                   (L) cÖvK…wZK gvbw

(M) cÖvK…wZK I mvs¯‹…wZK gvbw                            (N) A_©bwZK gvbw


©y³?


evsjv`

 
¯j I Gi †kÖwYwefvM


gvbwP‡Îi `wU ¯’v‡bi `~iZ¡ Ges f‚wg‡Z H ¯’vb `yÕwUi cÖK…Z `~i‡Z¡i AbycvZ‡K ¯j ej| Ab¨fv‡e

ejv hvq, fЇMvwjK Z_¨ I DcvËmg~n gvbwP‡Î Dc¯’vc‡bi Rb¨ h Abycv‡Z Kgv‡bv ev evov‡bv nq  Zv‡K gvbwP‡Îi¯j e‡j| †hgb- gvbwP‡Î `ywU ¯’v‡bi `~iZ¡ 2" (`yB BwÂ) Ges f‚wgZ `ywU ¯’v‡bi cÖK…Z `~iZ¡ 20  gvBj

nq| Zvn‡j gvbwP‡Îi ¯j n‡e-

Z 20 gvBj

ev Z 10 gvBj ------(1)


ev             1


1       [ GK gvB‡j 63360 BwÂ]


10 63360 633600

ev, 1: 633600 -----------------(2)

ev, cÖwZf‚ AbycvZ (cÖ:A.) 1: 633600

mgxKiY (1) Abyhvqx

Z 10 gvBj ej‡Z eySvq gvbwP‡Î `ywU ¯’vb hw` GK Bw `~i Ae¯’vb K‡i Z‡e f‚wgZ Zv‡`i cÖK…Z

`~iZ¡ n‡e 10 gvBj|

mgxKiY (2) Abyhvqx gvbwP‡Îi `~iZ¡ n‡j f‚wgZ `~iZ¡ n‡e 633600 ev gvbwP‡Î `~iZ¡ 1 †m.wg n‡j f‚wgZ

`~iZ¡ n‡e 633600 †m.wg|

†¯ji cÖKvi‡f` (Types of Scale): gvbwP‡Îi e¨envwiK ¸iyZ¡ I cÖqv‡Mi wewfbœZv Ges AsKb& c×wZi  Dci wfwË K‡i ¯jK cÖavbZ cuvPwU kÖwY‡Z wef³ Kiv nq Ges ˆewkó¨i wfwËZ wKQz †¯‹j‡K DckÖwY‡Z we Kiv


nq‡Q|  : Kv‡bv wbw`©ó gvc ev wnmve Abyhvqx GKwU mij †iLv‡K KwZcq fv‡M wef³


Ki‡j Zv‡K mij ¯j e‡j| mij †¯‹‡ji †¶‡Î gyL¨fv‡M A‡c¶vK…Z e„nr Ges †MŠY fv‡M ¶z`ª BDwb‡Ui cwigvc `Lv‡bv nq (wPÎ-15.3.1)|

 

cÖ: A: 1:80,000

wPÎ 15.3.1 : mij †¯‹j

gvbwP‡Î mij ¯j eûjfv‡e e¨eüZ nq| KviY cÖ‡qvR‡bi ZvwM‡` gvbwK †QvU ev eo Ki‡j †¯jI AvbycvwZK nv‡i †QvU ev eo nq|


L)      Zzjbvg~jK ¯j (

omparative Scale) : Zzjbvg~jK †¯‹jI GK ai‡bi mij †¯j| ïaygvÎ wfbœ GK‡Ki



¯ji GKwUi mv‡_ AciwUi Zzjbv Kivi Rb¨ hLb GKB g~jwe›`y Ges cÖwZf‚ AbycvZ cvkvcvwk GKvwaK ¯j AsKb Kiv nq, ZLb Zv‡K wewfbœ ˆ`N©¨ GK‡Ki Zzjbvg~jK ¯j e‡j| GB  ai‡bi ¯j gvB‡ji mv‡_ wKjvwgUvi, dz‡Ui mv‡_ †WwmwgUvi, wgUv‡ii mv‡_ MR cÖf…wZ GK‡Ki ga¨ Zzjbv Kiv nq| (wPÎ-15.3.2)|

 


AwZµg K‡i Zv `Lv‡bv nq Zv‡K UvBg ¯j e‡j| hgb GKRb ¯vDU N›Uvq wZb gvBj MwZZ gv Ki‡Q| H GjvKvi gvbwP‡Îi cÖwZf~ AbycvZ n‡”Q 1:126720

GLv‡b

"

 
gvbwP‡Îi `~iZ¡ 1     n‡j f‚wgZ `~iZ¡ 126720 = 2 gvBj



†h‡nZz MwZ‡eM N›Uvq 3 gvBj Ges †gvU `~iZ¡ 12 gvBj ZvB 12 gvBj `~iZ¡ Awg 12÷ 3=4  N›Uv mgq cÖqvRb n‡e| GB †¶‡Î cÖ`Ë UvBg ¯jwU n‡e wbgœiƒc:

cÖ_‡g 6" GKwU ¯j AsKb K‡i cÖv_wgKfv‡e mgvb 4 fv‡M wef³ K‡i cÖ_g cÖv_wgK NiwU‡K mgvb 6wU Dcfv‡M


wef³ Ki‡j cÖwZwU DcfvM 10 wgwb‡U AwZµvš`


K ¯j AsKb Kiv nq Zv‡K c`‡¶c ¯j e‡j| mg‡qi ¯^íZvi Kvi‡Y A_ev `ªyZ Rwi‡ci cÖ‡qvR‡b


†hLv‡b †PBb ev †Uc w`‡q cwigvc Kiv ¢e nq bv †mB mKj †¶‡Î c`‡¶c ¯j e¨eüZ nq| ˆmwbK‡`i c`‡¶‡ci `~i 30" ev 75 †m.wg aiv nq| Z‡e e¨w³ wekl c`‡¶‡ci ˆ cwiewZ©Z nq| ZvB Rwici c~‡e© RwicKg©xi c`‡¶‡ci `~iZ¡ cwigvc Kiv c‡qvRb|


 

†hgb: `ªyZ RwicK…Z GKwU GjvKvi gvbwP‡Îi cÖwZf‚ AbycvZ 1:15,000 Ges RwicKg©xi c`‡¶‡ci  `~iZ¡  75

†m.wg|

GLv‡b gvbwP‡Îi `~iZ¡ 1 †m.wg n‡j f‚wgZ `~iZ¡ 15,000 m.wg =150 wgUvi|


ev gvbwP‡Îi `~iZ¡ 1 †m.wg n‡j f‚wgZ `~iZ¡


GLb c`‡¶c †¯‹‡j, cª_‡g 7 †m.wg GKwU ¯j AsKb Ki Zv‡K cÖv_wgK fv‡e 7 fv‡M we K‡i cÖwZwU fvM 150 wgUvi Ges 200 c`‡¶c `Lv‡bv hv‡e| cÖ_g cÖv_wgK fvMwU‡K mgvb 5wU Dcfv‡M we Ki‡j cÖwZwU DcfvM 30 wgUvi Ges 40 c`‡¶c `Lv‡e|

  

4. AveZ©b ¯j (Revolution Scale): c`‡¶c ¯ji b¨vq mvB‡Kj ev Mvwoi PvKvi AveZ©‡bi gva‡g `~iZ¡ cwigvc Kiv nq| wbw`©ó `~iZ¡ AwZµ‡g cÖ‡qvRbxq AveZ©b msL¨v †`wL‡q h †¯‹j AsKb Kiv nq Zv‡K AveZ©b

¯j e‡j| GB †¶‡Î cÖ_gB PvKvi cwiwa wbY©q Kiv nq| cwiwa wbY©qi m~ÎwU n‡jv-cwiwa = 2 ©

hgb: 90" cwiwai PvKv wewkó mvB‡Kji gva¨‡g RwicK…Z GKwU GjvKvi gvbwP‡Îi cÖwZf‚ AbycvZ 1:21600

21600


gvbwP‡Îi `~iZ¡ 1" n‡j f‚wgZ  `~iZ¡        90


Bw = 240 AveZ©b|


myZivs AveZ©b ¯ji Rb¨ cÖ_g 3.5Ó GKwU †¯‹j AsKb K‡i cÖ_g mgvb 7wU fv‡M wef³ K‡i cÖwZwU fvM 300 MR Ges 120 AveZ©b `Lv‡Z n‡e| cÖ_g fvMwU‡K mgvb 5wU Dcfv‡M wef³ Ki‡j cÖwZwU DcfvM 24 MR Ges 60 AveZ©b `Lv‡e| (wPÎ: 15.3.5)

 

wPÎ: 15.3.5 AveZ©b †¯‹j

iagonal Scale): m cwigvci Rb¨ AvqZ‡¶‡Îi ci¯úi wecixZ †KvY؇qi ms‡hvRK mij


 

 

 

 

 

 

cÖ:A: 1:50

 
iLvi mvnv‡h¨ †h ¯j AsKb Kiv nq, Zv‡K KY©xq ¯j (Diagonal Scale) e‡j| GB ¯ji gva¨‡g cÖv_wgK I wØZxq ch©v‡qi ¶z`ªZi `~iZ¡ cwigvc Kiv nq (w 15.3.6)| AvqZ‡Îi KY© Øviv GKwU ¶z`ª iLvK cÖqvRb Abyhvqx mgvb msL¨K fv‡M wef³ Kiv hvq| GB g~jbxwZ n‡ZB KY©xq ¯ji D™¢e| 

wewfbœ ai‡bi mè `~iZ¡ cwigvci Rb¨ KY©xq ¯j e¨envi Kiv nq| mij ¯ji f‚wg †iLvi Dci myweavRbK DPZvi AvqZ‡¶Î AsKb K‡i wØZxq cv‡qi †MŠY Ask¸‡jv‡Z KY© AsKb K‡i AvqZ‡¶ÎwU‡K  cÖ‡qvRbxq


msL¨K mg`~ieZ©x  AvbyfwgK mgvšiÍ nq|


vj †iLvi gva¨‡g fvM K‡i Z…Zxq ch©v‡q wef³ K‡i KY©xq ¯j AsKb Kiv


O) fvwb©qvi ¯j (


ernier Scale): d«v‡Ýi weL¨vZ MwYZwe` wcu‡qi fvwb©qvi GB ¯j D™¢veb K‡ib e‡j G‡K


fvwb©qvi ¯j e‡j| m~² cwigvci Rb¨ mij †¯‹‡ji cv‡k mshy³ †h †QvU Pjbkxj ¯j e¨envi Kiv nq Zv‡K fvwb©qvi ¯j e‡j| 15.3.7 bs wP‡Î K L ¯jwU, cÖv_wgK ¯j Ges Dcii †QvU ¯jwU fvwb©qvi ¯j|

 A¶vsk cwieZ©‡bi mv‡c mwVK `~iZ¡ cwigv‡ci Rb¨ h †hŠwMK †¯‹j


AsKb Kiv nq Zv‡K cwieZ©bkxj ¯j e‡j|

2| Xvji ¯j : m‡gvbœwZ gvbwP‡Î wewfbœ m‡gvbœwZ iLvi ga¨eZ©x Xv‡ji cwigvY cwigvc Kivi Rb¨ h ¯j e¨envi Kiv nq Zv‡K Xv‡ji †¯‹j e‡j| GB ¯j wbw`©ó Dj¤^ weiwZZ (mvaviYZ 100dzU ev 50 dzU) cÖwZ wWMÖx Xv‡ji cwieZ©bi Rb¨ Avbyf‚wgK `~i‡Z¡i cwigvY `Lv‡bv nq|


3| eM©g~‡ji ¯j (

S


quare Root Scale) : gvbwP‡Î cwimsL¨vwbK Dc `Lv‡bvi Rb¨ wewfbœ AvbycvwZK wPý


C

 
e¨envi Kiv nq| wewfbœ †`k ev kn‡ii RbmsL¨v, Rwgi cwigvY I Drcv`b cÖf…wZ DcvˇK AvbycvwZK eM©¶Î, AvqZ¶Î ev e„‡Ëi †¶Îd‡ji gva¨‡g cÖ`k©b Kiv nq|


4| Nbg~‡ji ¯j (

C

 eM©g~‡ji ¯ji gZB gvbwP‡Î cwimsL¨vwbK DcvˇK wewfbœ Nb 


ev †MvjKi AvqZbi gva¨‡g cÖ`k©b Kiv nq|

5| wvbycvZ †¯‹j : AbywPÎ, f‚wg e¨env‡ii cÖwZKx bKkv, eøK cÖf…wZ AsK‡bi  mgq cÖqvRb Abymv‡i welqe¯Íy‡K †QvU ev eo ‡h ¯j AsKb Kiv nq Zv‡K wvbycvZ ¯j e‡j|


6| Dj¤^ ¯j (


 : AvKvk wP‡Îi ¯j wbY©‡qi Rb¨ gvbwP‡Îi ¯j wba©vi‡Yi wZ e¨wZµg|


V

G‡Î ¯ji mv‡_ K¨v‡givi †dvKvj ˆ`N©¨ Ges wegvb DÇqb DPZvi m¤úK© wbY©q Kiv nq| GB Î ¯j wbY©qi mvwU n‡jvÑ

AvKvk wP‡Î `yÕwU we›`yi `~iZ¡

  f‚wgZ ¶Î `ywUi Ae¯’v‡bi `~i


dqmv‡ji †QvU gvgv evsjv‡`k †mbvevwnbx‡Z PvKzix Kib| GKw`b dqmvj gvgvi mv‡_ †mLv‡b eov‡Z †Mj| m

`LZ cj c¨v‡i‡Wi mgq mwbKiv wbw`©ó `~i‡Z¡ GKB mgq cv †d‡j|

1|    wbw`©ó `~iZ¡ Awg cÖqvRbxq c`‡¶c msL¨v `Lv‡bvi Rb¨ Dc‡hvMx ¯jK Kx e‡j?

(K) UvBg ¯j                                      (L) c`‡¶c †¯j

(M) AveZ©b ¯j                                     (N) Dj¤^ ¯j 2|       mwbK`i c`‡¶‡ci `~iZ¡ KZ aiv nq?

(K) 30 ev 75"                                 (L) 22"

(M) 36"                                        (N) 28"

3|    mè cwigvci Rb¨ AvqZÎi ci¯úi wecixZ †KvY؇qi ms‡hvRK mij †iLvi mvnv‡h¨ †h ¯j AsKb Kiv nq Zv‡K Kx ¯j e‡j?

(K) KY©xq ¯j                                      (L) c`‡¶c †¯j

(M) AveZ©b ¯j                                     (N) Dj¤^ ¯j

4|     UvBg †¯‹‡ji ˆewkó¨ n‡”Q-

. Kv‡bv e¨w³ ev `j ev MwZkxj e¯‘ wbw`©ó mg‡q KZUzKz `~iZ¡ AwZµg K‡i Zv UvBg †¯‹‡ji  gva¨‡g

i

`Lv‡bv nq|


i

 
. w³, `j ev hvbevnb h GjvKvi Dci w`‡q hvq mswkóø

i

cÖ‡qvRb|

i

 
ii . Pjgvb e¨w³, `j ev hvbevn‡bi MwZ‡eM j¶¨ ivLZ nq| wbPi KvbwU mwVK?

(K) i (L) ii I iii (M) i, ii I iii (M) iii


GjKvq gvbwP‡Îi ¯j we‡ePbvq ivLv


5|    Kv‡bv wbw`©ó gvc ev wnmve Abymv‡i GKwU mij iLv‡K KwZcq fv‡M fvM Ki‡j Zv‡K Kx e‡j?

(K)  Zzjbvg~jK ¯j                                   (L) UvBg ¯j

(M) KY©xq ¯j                                                 (N) mij ¯j



mij I KY©xq ¯j

evsjv`

 

 

G cvV kl Avcwb-

§   mij I KY©xq ¯ji msÁv, MVb KvVv‡gv I myweav-Amyweav eY©bv I we‡klø

§  mij I KY©xq ¯j A¼b Ki‡Z cvi‡eb|


h¯j Øviv cÖv_wgK I wØZxq cv‡q fv‡Mi gva¨‡g gvbwP‡Îi f‚wgi ˆ`N©¨ ev AbycvZ cwigvc Kiv nq


Zv‡K mij gvcbx ev mvaviY ¯j (

cÖv_wgK I wØZxq cv‡qi KwZcq fv‡M wef³ Kiv nq Ges fv‡Mi cÖZ¨KwUi gvb wefvR¨ msL¨v (


nIqv evÂbxq| wefv msL¨v Ggb nIqv DwPZ hv‡Z cÖv_wgK ch©v‡q Kv‡bv GKwU fv‡Mi gvb wØZxq chv‡q wewfbœ

fv‡M mn‡R wefvR¨ nq Ges ¯‡ji wefvM¸wji KvbwU fMœvsk bv nq| hgb: XvKv n‡Z gNbv eªxR ch©š7Í 2

gvBj `xN© iv¯Ív `Lv‡bvi Rb¨ 6" ˆ`‡N©¨i GKwU mvaviY †¯‹‡j cÖv_wgK cv‡q GKwU fv‡Mi wefvR¨ msL¨v ev gvb 12 gvBj Ges wØZxq ch©v‡q 12 gvBjK Avevi 2 ev 3 ev 4 ev 6 fv‡M wef³ Ki‡j cÖ‡Z¨K As‡ki wefv

msL¨vi gvb h_vµ‡g 6 gvBj ev 4 gvBj ev 3 gvBj ev 2 gvBj n‡e|

mij ¯ji MVb KvVvgv

mvaviY ¯‡ji ˆ`N©¨ gvB‡ji ¯‡j 4" n‡Z 6" ch©š,Í


wKjvwgUv‡ii ¯j 10 †mw›UwgUvi n‡Z 15 †mw›UwgUvi

 4"                            "


†mw›UwgUv‡ii g‡a¨ n‡e Ges cÖ¯’ 0.25 Bw ev 0.5 †mw›UwgUvi nIqv DwPZ| cÖv_wgK cv‡q GK‡Ki gvb GKvwaK n‡j wØZxq ch©v‡q wKsev GKvwaK bv n‡j wØZxq cv‡q wbgœ GKK e¨envi Kiv nq| †hgb: cÖv_wgK cv‡q 5wU

fv‡Mi cÖwZwU‡Z 1 MR ch©šÍ `Lv‡Z n‡e| Avevi cÖv_wgK ch©v‡q 1 MR n‡j wØZxq ch©v‡q ¯j‡K M‡Ri wVK QvU GKK wnmv‡e dz‡U wef³ Ki‡Z n‡e| GÎ cÖwZwU fv‡M 1 dzU K‡i 3 dzU ev 1 MR `Lv‡Z GKB gvb e¨eüZ

n‡e|

mij ¯j A¼b wZ

cÖwZfz AbycvZ 1:50 ¯j MR I dzU `Lv‡bvi Rb¨ GKwU mij ¯j A¼b Kiyb|

cÖ_g avc,

cÖkœ †h‡nZz MR `Lv‡Z ejv n‡q‡Q| †m‡nZz cÖwZf~ AbycvZ‡K M‡Ri ¯j cÖKvk Ki‡Z n‡e|

Avgiv Rvwb, 1 MR = 36"

\

 
36 = 1 MR


= f‚wgZ 1.389 MR (cÖvq) D‡jøL¨ mij


cÖwZf~ AbycvZi 50" =        36


= 1.389 MR (cÖvq) A_©vr gvbwP‡Î 1"


¯‡ji ˆ`N©¨ M‡Ri ¯‡ji †¶‡Î 4" n‡Z 6" ch©š`Í


xN© nq| †m‡nZz 1 BwÂZ 1.389 MR ¯jK h_vµ‡g 4 ¸Y


4=5.556 MR) 5.556 MR Ges (1.3896


6=8.334 MR) 8.334 M‡R cÖKvk Kiv


Ges 6 ¸Y K‡i (1389×

n‡jv| G`i KvbwU wefvR¨ msL¨v bv nIqvq GB `ywU fMœvsk m¤^wjZ msL¨vi ga¨eZ©x GKwU msL¨v‡K wefvR¨

-6 Ges

msL¨v wnmv‡e wba©viY Ki‡Z n‡e| wefvR¨ msL¨v 6 MR wba©viY Kij Aw¼Z mij ¯ji ˆ`N©¨ n‡e 4"                                    "


 

-6

wØZxq cv‡qi fv‡M dzU `Lv‡Z n‡e| hw` wefvR¨ msL¨v GLv‡b 7 ev 8 MR nq Zvn‡j mij ¯ji ˆ`N¨© 4"                                     "

n‡e|

GLb, wefvR¨ msL¨v 6 MR `Lv‡bvi Rb¨ Aw¼Z ¯ji `N©¨ ei Ki‡Z n‡e|

1.389 MR = gvbwP‡Î 1"


f‚wgZ 1 MR = gvbwP‡Î


1

1.389 "


f‚wgZ 6 MR (wefvM msL¨v) = gvbwP‡Î


1 6

 

1.389


= 4.319"


ev, 4.32"


(cÖvq)|


6 MR `Lv‡bvi Rb¨ mij ¯ji ˆ`N©¨ n‡e 4.32" (cÖvq) Avevi, 7 MR `Lv‡bvi Rb¨ Gi ˆ`N©¨ n‡e

8/1.389=5.76"  (cÖvq)|

myZivs ejv hvq, 1:50 †¯‹‡j gvbwP‡Îi 1 Bw f‚wgZ cÖvq 1.389 MR `~iZ¡ `Lv‡bvi Rb¨ Aw¼Z †¯‹‡ji ‰`N¨© cÖvq 4.32 BwÂ| cÖv_wgK I wØZxq cv‡q cÖwZwU As‡ki gvb h_vµ‡g 1 MR I 1 dz‡Ui mgvb|

wØZxq avc

mij †¯‹‡ji ˆ`N©¨ 4.32" wba©vi‡bi ci K L bvgK GKwU mij †iLv Avbyf~wgKfv‡e A¼b Kiyb| GB mij †iLv‡K cÖv_wgK chv©‡q mgvb 6 fv‡M fvM Kivi Rb¨ K we›`y nZ 3.2" ˆ`‡N©¨i K M bvgK AviKwU mij †iLv w

15.4.1 Abymv‡i 300 †Kv‡Y A¼b Kiyb| GLb K M iLv‡K ÔKÕ we`y n‡Z 0.50 Bw wnmv‡e mgvb 6wU fv‡M  fvM K‡i cÖZ¨KwU Ask h_vµ‡g Z, _, `, a, b Ges c Øviv wb‡`©k Kiyb| GLb K L I KM †iLvi ÔcLÕ we›`y †hvM


Kiyb| mU ¯qvii (



mvnv‡h¨ ÔcLÕ iLvi mgvšiÍ


v‡j ÔKLÕ iLvi Dci b, a, `, _, T Ges Z we›`y


n‡Z Aw¼Z wewfbœ iLv ÔKLÕ iLv‡K mgvb 6wU fv‡M wef³ KiyY Ges hvi cÖwZwU fv‡Mi gvb f‚wgZ 1  M‡Ri mgvb| GB fvM ¸‡jvB n‡jv cÖv_wgK cv‡qi fvM| ÔKLÕ iLvK mgvb 6 fv‡M wef³ Kivi ci MVb KvVv‡gv Abyhvqx evg cv‡k¦©i cÖ_g fv‡M 3 we›`y eivei cÖvß g As‡ki gvb N (k~b¨) n‡e| k~‡b¨i Wvb w`‡Ki 5wU fv‡Mi 5 MR Ges evgw`K 1wU fv‡Mi gvb 1 MR n‡e (w 15.4.1)|


wØZxq av‡c ÔKLÕ iLv‡K mgvb 6 fv‡M wef³ Kivi ci evg w`‡Ki cÖ_g AskK wØZxq cv‡q ¶y`ª fv‡M wef³ Ki‡j mvaviY †¯‹‡ji A¼b m¤c~Y© nq| wKš‘ cÖkœvbyhvqx `‡N©¨i cwigv‡Yi Î MR A‡c¶v dzU †QvU cwigvcK nIqvq evg w`K 1 M‡Ri fvM‡K mgvb 3 fvM Ki‡j cÖ‡Z¨KwU wØZxq ch©v‡qi fvM 1 dzU Ki `~iZ¡ wb`©k Ki| evgw`Ki cÖ_g fvM‡K wØZxq ch©v‡q mgvb 3 fv‡M wef³ Kivi Rb¨ w 15.4.1 Abyhvqx ÔKNÕ bvgK GKwU j¤^ A¼b Kiyb, Ges ÔKLÕ †iLvi g we›`y n‡Z Dc‡ii w`K wPÎvbyhvqx ÔgOÕ bvgK GKwU j¤^ A¼b Kiyb| Aw¼Z ÔKNÕ


Ges ÔgOÕ ^ØqK w 15.4.1 Abyhvqx 0.3

Ges QQ †hvM Ki‡j Kg Ask mgvb 3 fv‡M w "


e¨eav‡b h_vµ‡g P I Q Ges P I Q As‡k we Kiyb| GLb PP ³ n‡e Ges cÖwZwU As‡ki gvb n‡e 1 dzU|


ef

wØZxq w GKB ¯j wwU wb‡gœv³fv‡e A¼b Kiv hvq|

 

cÖ_g avc

wØZxq avci 4.32" ˆ`‡N©¨i mij †iLv‡K cÖv_wgK ch©v‡q mgvb 6wU fv‡M wef³ K‡i MR Ges Z…Zxq  ¯Í‡i me©ev‡gi Ask‡K wØZxq ch©v‡q mgvb 3 fvM K‡i g~jZ dzU wb`©k Kiyb| A¼‡bi myweav‡_© 0.2"  `~i‡Z¡ ÔKLÕ

iLvK h_vµ‡g Dj¤^fv‡e Gi mgvšÍivj Aew¯’Z iLvi mv_ †hvM K‡i 8wU AvqZ¶Î A¼b (wPÎ 15.4.2) Kiyb| GLb Aw¼Z mij ¯jK Aviv my›`ifv‡e Dc¯’vcb Kivi Rb¨ AvqZ‡¶Î Avbyf‚wgKfv‡e mgvb 2wU As‡k wef³ Kivq gvU 6wU wewfbœ AvKv‡ii AvqZ¶Î Aw¼Z n‡jv| GLb me©ev‡gi me©wbgœ Ni n‡Z w Abyhvqx 1 Ni


 

 

cÖ. A. 1:50

 
iÍ


Dci wb‡P cÖZ¨KwU NiK m¤ú~Y©fv‡e Kvwj ev cwÝj Øviv cwic~Y© Kiyb ev wewfbœ kW e¨envi Kiyb|


GB av‡c Aw¼Z mij ¯ji cÖv_wgK I wØZxq cv‡q fv‡Mi cÖZ¨KwU As‡ki gvb, ¯ji wkivbvg, cÖwZf AbycvZ, ¯ji mxgvbv (Boundary/boarder) cÖf…wZ wb‡`©k Kiyb| ¯ji `N©¨ Ges KvM‡Ri AvKv‡ii  mv_ mvgÄm¨ iL mij †¯‹‡ji Dcwifv‡M mij ¯j wjLyb| Aw¼Z mij †¯‹‡ji wb‡P wewfbœ wefvM msjMœ  ¯’v‡b Z¨KwU As‡ki gvb †¯‹‡ji ˆ`‡N©¨i mv_ mvgÄm¨ †i‡L †QvU K‡i wjLyb Ges g~j †¯‹‡ji AviI  wbP QvU

AvKv‡ii wKš‘ wkivbv‡gi †P‡q †QvU Ges cÖv_wgK I wØZxq cv‡qi wewfbœ fv‡Mi gv‡bi †P‡q eo AvKv‡i cÖ.A (cÖwZf~ AbycvZ) wjLyb| mvgwMÖKfv‡e mij †¯j A¼b kl Aw¼Z †¯ji Pvwicv‡© cwiwgZ Ask  e¨eav‡b mvaviY mxgvbv A¼b Kiyb|

D`vniY : 2. cÖ. A. 1: 63360 ¯j gvBj I dvj©s `Lv‡bvi Rb¨ GKwU mij ¯j A¼b Kiyb|

cÖ_g avc

‡h‡nZz gvBj`Lv‡Z ejv n‡q‡Q, †mnZz cÖwZf~ AbycvZK gvB‡j cwiYZ Ki‡Z n‡e|

Avgiv Rvwb, 1 gvBj = 63360"


\

 
63360

"


= 1 gvBj


"

 
1 = 1/63360

"

 

\

 
cÖwZf‚ AbycvZi 63360   =

"


63360

 
163360    = 1 gvBj


A_©vr, gvbwP‡Î 1" = f‚wgZ 1 gvBj|


 

-6  nIqvq 1 Bw‡Z 1 gvBj ¯j‡K h_vµ‡g 4 ¸Y I 6 ¸Y K‡i 4


mvaviY †¯‹‡ji ˆ`N©¨ gvB‡ji ¯j 4"              "

gvBj (14= 4gvBj) I 6 gvBj (16=6 gvBj) cvIqv †Mj| msL¨vØq I Dnv‡`i ga¨eZ©x msL¨vwUI wefvR¨ msL¨v nIqvq A¼b myweav‡_© 4 gvBjK wefvR¨ msL¨v wnmv‡e w¯’i Ki‡Z mij ¯ji ˆ`N©¨ `Lv‡bv hv‡e| AviI



 

cÖ_g avc n‡Z cÖvß 4" ˆ`‡N©¨i mij †iLv‡K AvbycvwZKfv‡e 1" e¨eav‡b cÖv_wgK cv‡q mgvb 4 fv‡M wef³ Kiv n‡jv hvi cÖwZwU fv‡Mi gvb f‚wgZ 1 gvB‡ji mgvb (wPÎ15.4.3)

wØZxq avc 4" ˆ`‡N©¨i mij †iLv‡K mgvb 4 fv‡M wef³ Kivi ci evgw`Ki cÖ_g AskK wØZxq ch©v‡qi ¶y`ªZg fv‡M we Kiv nq| evgw`Ki 1wU fv‡Mi gvb 1 gvBj nIqvq MVb KvVv‡gv Abyhvqx gvB‡ji  ¶z`ªZg GKK

wnmv‡e dvj©s `Lv‡bvi Rb¨ (wPÎ 15.4.3 Abyhvqx) 1 dvj©s K‡i `~iZ¡ cÖKvk Ki‡e| 1 gvBj = 8 dvj©s e‡j me©ev‡gi NiwU‡K 8 fv‡M fvM Kiv n‡q‡Q|

w 15.4.3 Abymvi mij ¯jwU‡K 0.2" cÖk¯’Zvq Dj¤^ I Avbyf‚wgKfv‡e gvU 22wU wfbœ AvK…wZi AvqZ‡¶Î AsKb Kiv n‡jv Ges me©evgi me©wbgœ AvqZ¶Î n‡Z Dci wb‡P 1 Ni e¨eav‡b cÖZ¨KwU  AvqZ¶ÎK m¤ú~Y©iƒc Kvwj Øviv cwic~Y© K‡i †mŠ` e„w× Ki‡Z n‡e|

cÖv_wgK I wØZxq cv‡qi fv‡Mi cÖZ¨KwU As‡ki gvb, †¯‹‡ji wkivbvg, cÖwZf~ AbycvZ, ¯ji mxgvbv wb`©k K‡i ¯ji KvVv‡gvMZ A¼b cÖwµqv m¤ú~Y© Kiyb|

mij ¯ji e¨envi

mij †¯ji gva¨‡g gvbwP‡Î `yBwU ¯’v‡bi `~iZ¡ mn‡R cwigvc Kiv hvq, KviY mij ¯jK cÖv_wgK I wØZxq cv‡q wYwefvM Kiv nq| GQvovI GB ¯ji cÖavb myweav n‡jv cwiewZ©Z ÎI cÖK…Z ¯jK wb‡`©k K‡i| GB cwigv‡ci GKK h mÍ †`‡k cÖPwjZ ïaygvÎ †mB mKj †`‡k GB †¯j e¨envi Kiv hvq|

ms‡c mij ¯ji D`vniY

1|    1 Bw mgvb 4 gvBj `wLq GKwU mij ¯j A¼b  Kiyb| cÖkœvbymv‡i,

1 BwÂZ 4 gvBj wb`©k K‡i

    5 BwÂZ (45) = 20 gvBj wb‡`©k K‡i|

GLb 5 Bw ˆ`‡N©¨i GKwU †iLv‡K mgvb 4 fv‡M wef³ Ki‡j cÖwZ fvM n‡e 5 gvBj| evg cv‡k¦©i me©cÖ_g fvMwU‡K cybivq 5 fvM Ki‡j cÖwZwU fvM n‡e 1 gvBj|

Avgiv Rvwb,

1 gvBj = 63360

    4 gvBj = (633604)

= 253440

A_©vr cÖwZf‚ AbycvZ n‡e 1 t 253440