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Language : Malayalam

PHALADEEPIKA (INDIAN ASTROLOGY)

CHAPTER TWENTY TWODIFFERENT SYSTEMS

FOR DETERMINING LONGEVITY

AUTHORMANTRESWARA

Translation, DTP and Layout by Mullappilly Protected with Copy Right Rules by the TranslatorotecteL

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Z{kmZnXx ]mZhti\ tajm˛

∑o\mwiIm¥w {Iatim f ]khyw (1)

IoSm≤bm¥w KWtb® khy˛

am¿tKW(2) ]mZ{Iatim f PXmcm¬.

]mTt`Zw : (1) {IatimY Z£X

(2) hmaam¿t§W

3. \£{X]mZßfn¬ cminZiIfpsS hn\ymkw( tajmXv ao\mwiIm¥hpw IoSm≤bm¥hpw )

1. A]khyw ˛ A]khyamb

Z{kmZnXx ˛ AizXn apXemb \£{XßfpsS

(AizXn, `mcWn, Im¿ØnI KWßfpsS)

]mZhti\ ˛ ]mZ߃°\pkrXambn.

tajmXv ao\mwiIm¥w {Iaix˛ taSw apX¬ ao\whscbp≈ cminIƒ

{IaØnepw

IoSm≤bm¥w --̨ hr›nIw apX¬°p [\phscbp≈ cminIƒ

]ndtIm´pw F∂ {IaØn¬

KWtbXv N ˛ ZiIƒ KWn°Ww.

2. khyam¿tKW ˛ khyamb

APXmcm¬ ˛ tcmlnWn apXemb \£{XßfpsS ImcyØnepw

(tcmlnWn, aIbncw, XncphmXnc KW߃)

. ]mZ{Iatim - ˛ ------Cßs\ ]mZ{IaØn¬ ZiIƒ KWn°Ww.

(AhnsS cminIfpsS {Iaw CXn\p hn]coXamWv.)

Hcp \£{XØn\v \mep ]mZ߃. Hcp ]mZØn\v HºXp ZiIƒ. CXp {]Imcw Hcp

\£{XØn\v 36 ZiIƒ hcpw. 36 ZiIƒ h´saØm≥ ]{¥≠p cminIƒ aq∂p h´w

Bh¿Øn®p hcWw. CXn¬ BZysØ ]{¥s≠Æw taSw apX¬ ao\w hsc F∂p

km[mcW{IaØnepw ]ns∂ ]{¥s≠Æw hr›nIw apX¬ -- [\phsc F∂p hn]coX

{IaØnepw ASpØ ]{¥s≠Æw taSw apX¬ ao\w hsc F∂ km[mcW {IaØnepw

Bh¿Øn®phcpw.

(CXp hy‡ambn a\ nemIm≥ t«mI߃ 5˛9 IqSn ImWWw).

^eZo]nI 468

4. A]khy khy\£{X߃( Z{kmZnX.....APXmcmXv )

A]khyw (heXv) khyw (CSXv)

(2)

Ghw `qbm®m]khyw N khyw

`m\n {XoWn ({XoWn) hnZymXv{ItaW

X{Zmioit{]m‡h¿ssj¿Zim kym˛

tZhw {]mlpx ImeNt{I alm¥x.

Ghw `qbmXv N A]khyw N khyw ... ˛ C{]Imcw A]khyhpw khyhpamb

\£{X߃

`m\n {XoWn ({XoWn) hnZymXv{ItaW... (ta¬∏d™Xpt]mse) apΩq∂p hoXap≈

\£{XKWßfmIp∂p

XXv cmioi t{]m‡ h¿ssj Zim kymXv˛ (AhbpsS ]mZ߃°\pkcn®p hcp∂)

cmin\mY∑m¿°p ]d™n´p≈XmIp∂p

AhbpsS Zimh¿j߃.

apIfn¬ ]d™ Bdp \£{XKWfn¬ AizXn, `cWn, Im¿ØnIbpw Ahbv°p

Xmsgbp≈hbpw Hcp hn`mKhpw (A]khyw) tcmlnWn, aIbncw, XncphmXncbpw

Ahbv°p Xmsgbp≈hbpw as‰mcp hn`mKhpw (khyw) BWv. F∂m¬, \£{XKW߃

BsdÆaps≠¶nepw ImeN{IZibn¬ AizXn, `cWn, tcmlnWn, aIbncw F∂nßs\

\mep KW߃t° cminZimhn\ymkw hcp∂p≈p. (C°mcyw t«mIw Ggn¬

hy‡am°p∂p≠v.) AXpsIm≠v, Hcp \£{XØn\v \mep ]mZ߃ sh®v 27

\£{X߃°v 108 ]mZßfps≠¶nepw ChnsS ZibpsS ImcyØn¬ 4 KWw $ 4 ]mZw =

16 ]mZßtf ]cnKWn°p∂p≈p. F∂m¬ Cu 16 ]mZ߃°pw HºXphoXw {KlßfpsS

Zi hcp∂p≠v. AXns‚ {Iahpw {KlßfpsS Zimh¿jhpamWv C\n ]dbp∂Xv.

(3)

a\px ]cx k\n¿[\n¿\r]kvXt]m ht\ {IamXv

ZnhmIcmZn h’cmx ip`mip`m]vXntlXhx.

(1) (2) (3) (4) (5) (6)

1. AizXn 2. `cWn 3. Im¿ØnI 4.tcmlnWn 5.aIbncw 6.XncphmXnc

7. ]pW¿Xw 8. ]qbw 9. Bbneyw 10. aIw 11. ]qcw 12. D{Xw

13. AØw 14. Nn{X 15. tNmXn 16. hnimJw 17.A\ngw 18. Xrt°´

19. aqew 20. ]qcmSw 21. D{XmSw 22.Xn.thmWw 23. Ahn´w 24. NXbw

25. ]qcqcp´mXn 26. D{X´mXn 27. tchXn

A≤ymbw 22 (Bbp¿±mbZiIƒ) 4695. ImeN{IZibn¬ {KlßfpsS Zimh¿j߃

cmin Nnßw I¿°Sw taSw& anYp\w& [\p& CShw& aIcw&

hr›nIw I∂n ao\w Xpemw Ipw`w

cmiym[n] c N Ip _p Kp ip a

a\p ]c k\n [\n \r] X] h\

50 12 70 09 01 61 40

5 21 7 9 10 16 4

{IamXv ˛ Cßs\ {IaØn¬ --

ZnhmIcmZn h’cmx ˛ kqcy≥ XpSßnbhcpsS Zimh¿jw BIp∂p.

ip`mip`m]vXntlXhx ˛ (Ah) ip`hpw Aip`hpw Bb ^e߃°v

tlXphmIp∂p.

(IS-]-bmZn A£-c-kwJy A\p_‘ambn sISpØn´p≠v.)

(4)

Zim]lmcmZnIImeNt{I

hmIym\n Z{kmZn]ZmZnPm\n

h£yman h¿ssÆ¿∂h`n¿`amss\˛

cmioih¿ssjx ]cambpc{X.

Z{kmZn ]ZmZnPm\n ˛ AizXn apXemb \£{XßfpsS ]mZßfpsS.

Zim]lmcmZnI cminNt{I ˛ ImeN{IZibnse ZiIfpw A]lmcßfpw.

hmIym\n ˛ hm°pIfn¬,

h¿ssÆ \h`nx ˛ HºXp h¿Æßfn¬, A£ckwJyIfn¬.

h£yman ˛ Rm≥ ]dbp∂p.

AizXn XpSßnb \£{XßfpsS ]mZ߃°v \n›bn®n´p≈ HºXp hoXap≈

cminIsf Rm≥ IS]bmZn A£ckwJyIfn¬ hnhcn°p∂p.

\mep \£{XKW߃. Hmtcm∂n\pw \mep ]mZ߃. Hcp ]mZØns‚ Iogn¬ 9

cminIƒ. AXmbXv Hcp \£{XKWØn\v BsI 36 cminIƒ thWw. CXp icnbm°m≥

taSwapX¬°v ao\whscbp≈ ]{¥≠p cminIƒ aq∂ph´w Bh¿Øn®p hcWw. Cu

Bh¿Ø\w c≠p hn[ØnemWv. BZyw taSwapX¬ ao\w hsc {IaØn¬. ]n∂oSv hr›nIw

apX¬ [\phsc ]ndtIm´v. (cminIƒ : 1 ˛ taSw, 2 CShw F∂ {IaØn¬)

(5)

]ucw Kmthm anX kwZnKv[w \£t{Xμpx k Xp `qiqew

cqt]{X£∂n[tbmcwtK hmWo Nÿw Z[n\£{X

^eZo]nI 470

(6)

ZmkXthtim Kuco]p{Xw £∂n[nImtcm tKm`qtijw

kuZ[n\£t{Xlmkt¥m `uaKpcpx ]p{Xmt£m\m[n.

6. \£{X{Kq∏pIfpsS ImeN{IZim{Iaw A£ckwJyIfn¬ --

(1, 2) AizXn , Im¿ØnI KW߃

]u cw Km thm an X kw Zn Kv[w

]mZw 1 1 2 3 4 5 6 7 8 9

\ £ t{X μp k Xp `q iq ew

]mZw 2 10 11 12 8 7 6 4* 5 3

cq t] {X £ ∂n [ tbm cw tK

]mZw 3 2 1 12 11 10 9 1 2 3

hm Wo N ÿw Z [n \ £ {Xw

]mZw 4 4 5 6 7 8 9 10 11 12

(3) `cWn KWw

Zm k X th tim Ku co ]p {X

]mZw 1 8 7 6 4 5 3 2 1 12

£ ∂n [n Im tcm tKm `q ti jw

]mZw 2 11 10 9 1 2 3 4 5 6

k Z [n \ £ t{X lm k t¥m

]mZw 3 7 8 9 10 11 12 8 7 6

`u a Kp cp ]p {Xm t£m \m [n.

]mZw 4 4 5 3 2 1 12 11 10 9

(7)

hmIymt\yXm\yiznbmay¿£tbm¿tbm˛

\yizn\ymZym\y·n`kym]kthy

kthyftPtμzm¿h£yamtWjp hmtIy˛

jzntμm¿hmIymt\yh cu{Zky `qbx.

1. hmIym\n GXm\n ˛ Cu hmIy߃.

Aiznbman E£tbm ˛ AizXn, `cWn \£{XßfpsS

A≤ymbw 22 (Bbp¿±mbZiIƒ) 471

(AizXn˛`cWn {Kq∏pIfpsS) \mep ]mZß

fpsS cminIƒ (Zim{Iaw) BIp∂p.

2 Aizn\ymZym\n A·n`ky A]kthy˛ A]khy\£{Xßfn¬AizXn XpSßnbh

bpsS (AizXn{Kq∏ns‚) hmIy߃ Xs∂

bmWv Im¿ØnI {Kq∏nt‚Xpw.

2. kthy AtPtμzm ˛ khy\£{Xßfn¬ tcmlnWn, aIbnc

\£{X߃°p

(tcmlnWn˛aIbnc{Kq∏pIƒ°p)

h£yamtWjp hmtIyjp ˛ C\n ]dbm≥ t]mIp∂ hmIyßfn¬

Ctμm hmIym\n Gh ˛ aIbncØns‚ hmIy߃Xs∂

cu{Zky `pb ˛ XncphmXncbv°pw hcp∂p.

tcmlnWn, aIbncw {Kq∏pIfpsS ]mZßfpsS cminIƒ Xmsg ]dbp∂p.. CXn¬

aIbncw{Kq∏n\pw XncphmXnc{Kq∏n\pw Htc hmIy߃Xs∂bmIp∂p.

(8)

t[\px t£t{X ]pctKm ip`p˛

kvXmkmw P{Xp £∂n[n Zmko

N¿amt`mKo cmb[n\m£˛

kv{Xn ]ucmwtKm inhXo¿∞m_vtP.

(4) tcmlnWn KWw

t[ \px t£ t{X ]p c tKm iw `p

]mZw 1 9 10 11 12 1 2 3 5 4

kvXm kmw P {Xp £ ∂n [n Zm ko

]mZw 2 6 7 8 12 11 10 9 8 7

N¿ am t`m Ko cm b [n \m £

]mZw 3 6 5 4 3 2 1 9 10 11

kv{Xn ]u cmw tKm in h Xo¿ ∞m _vtP.

]mZw 4 12 1 2 3 5 4 6 7 8

(9)

{X£\n[n¿Zm kqNoiwt`m

Kucb[o \£{Xw ]mcw

^eZo]nI 472

tKmioh Xo¿tY Zm{Xo£˛

t∂m [olknXmwip¿t`mKo caym.

(5, 6) aIbncw, XncphmXnc KW߃

{X £ \n [n¿ Zm kq Noiw t`m

]mZw 1 12 11 10 9 8 7 6 5 4

Ku c b [o \ £ {Xw ]m cw

]mZw 2 3 2 1 9 10 11 12 1 2

tKm io h \o¿ tY Zm {Xn £ t∂m

]mZw 3 3 5 4 6 7 8 12 11 10

[o l kn Xmw ip¿ t`m Ko c aym.

]mZw 4 9 8 7 6 5 4 3 2 1

7. ImeN{IZibpsS ASnÿm\amb \£{X KW߃

(Npcp°Øn¬ --)

(1 (2) (3) (4)

AizXn `cWn tcmlnWn aIbncw

Im¿ØnI ]qbw aIw XncphmXnc

]pW¿Xw Nn{X hnimJw ]qcw

Bbneyw ]qcmSw XncpthmWw D{Xw

AØw D{X´mXn ˛ A\ngw

tNmXn ˛ ˛ XrtI´

aqew ˛ ˛ Ahn´w

D{XmSw ˛ ˛ NXbw

]qcpcp´mXn ˛ ˛ ˛

tchXn ˛ ˛ ˛

(10)

\£{X]mssZjyLSokap∞m

]q¿hm Zim XXv]Xnh¿jPmXm

]q¿thm‡]mZ{Iatim f {X hnZymXv

tIjmwNntZhw aXamlpcmcymx.

A≤ymbw 22 (Bbp¿±mbZiIƒ) 473

\£{X]mssZ LSokap∞m ˛ P\\kabsØ \£{X]mZØnse \mgnI

sh®,v N{μ≥ \n¬°p∂ \£{X]mZØns‚

_m°n sh®v,

]q¿hm Zim XXv ]Xn h¿jPmXm ˛ BZysØ cminZi, injvSZi, B cmiym[n

]s‚ Zimh¿jØn¬ ImWWw.

]q¿thm‡]mZ{Iaix ˛ t\csØ ]d™ ]mZ{IaØn¬ XpS¿∂p≈

ZiIfpw ImWWw.

tIjm©ntZhw aXamlp Bcym ˛ CXmWv BNmcy∑mcpsS A`n{]mbw

8. injvSZi ImWp∂ coXnDZmlcWwPmXIw. tcmlnWn

\£{Xw tcmlnWn . \£{X KXw 47˛28 1/ 2 . \memw]mZw

\£{X]mZw: \memw]mZw

Zimcmin ao\w. Zim\mY≥ Kpcp. Zimh¿jw 10 h¿jw

{Inb

\£{XssZ¿Lyw 60 \mgnI. \£{XKXw 47˛281/

2

_m°n (60 ˛̨ 47 1/2) = 12˛311/2 _m°n

10 $ 12˛311/2 = 10 $ 12 $ 30 = 3600 $ 7515

15 15 $ 12 $ 30 $ 60 $10 = 8.35 h¿jw

4. 2 amkw

6 Znhkw

P\\injvSZi 8 h¿jw 4 amkw 6 Znhkw Qjm[n] KpcpZim.

\£{Xw 60 \mgnI F∂ IW°v CS°meØpsh®p amdnbXn\m¬ Ct∏mƒ Hmtcm

ZnhktØbpw \£{X\mgnI {]tXyIw t\mt°≠Xp≠v.]mcºcycoXnbnse

kabm[njvTnXamb KWnXØnte Cu _p≤nap´p≈p. ÿem[njvTnXamb B[p\nI

KWnXØn¬ N{μkv^pSwsh®v Cu {Inb Ffp∏w sNømw.

. DZmlcWw˛̨

N{μkv^pSw 1˛20˛33 = 50˛33

AXp hcp∂ \£{X]mZw = 50˛00 ˛̨ 53˛20 (tcmlnWn \memw ]mZw)

Zimcminbpw Zim\mY\pw = ao\w. Kpcp. 10 h¿jw

\£{X]mZØn¬ _m°n

53˛20 ˛̨ 50˛33 = 2˛473˛20 = 10

2˛47 ?

^eZo]nI 474

10 $ 167 = 8.35 h¿jw = 8 h¿jw 4 amkw 6 Znhkw

200

Cu KWnXw IqSpX¬ Ffp∏Øn¬ sNøm≥ tS_nfpw e`yamWv.

XpS¿∂p≈ ZiIƒ ImWp∂ coXn

DZmlcWw

tcmlnWn {Kq∏v ]mZw 4

12 1 2 3 5* 4 6 7 8

ao\w taSw CShw anYp\w Nnß I¿°Sw I∂n Xpemw hr›nIw

Kp Ip ip _p c N _p ip Ip

8˛4˛6 7 16 9 5 21 9 16 7 ...........

(11)

Z{kmZn]mZ{]`rXo\n `m\mw

hmIym\n bm\y£c]w‡nPm\n

tXjmw {ItassWh Zim {]Iev]ym

hmIy{Iaw km[znXn tINnZmlpx

Z{kmZn]mZ{]`rXo\n `m\mw ˛ AizXn XpSßnb \£{XßfpsS ]mZ߃°p

hmIym\n bm\n A£c]w‡nPm\n ˛ A£ckwJyIfn¬ ]d™n´p≈

tXjmw {ItassWh Zim {]Iev]ym ˛ {IaØn¬ ZiIƒ ]dbWw.

hmIy{Iaw km[p CXn ˛ hmIy{IaamWv km[phmbn´p≈Xv F∂p

tINnZmlpx.. ˛ Nne¿ ]dbp∂p .

(12)

hmIy{Ita I¿Iyfnao\k‘u

afiqIKXyizhcπpXn›

knwlmhtemIkv{Xnhn[m XZm\ow

Zim¥cw ZpJ^e{]Zw kymXv.

9 Zim{IaØnse Nne {]tXyI cminKXnIƒ

(afiqI XpcK knwlmhtemI\ KXnIƒ)

hmIy{Ita ˛ hmIy{IaØn¬.

I¿°n Afn ao\ k‘u ˛ I¿°nSw, hr›nIw, ao\w ChIfpsS

k‘nIfn¬.(km[mcW A\ptema ˛{]Xn

temaKXnIƒ°p ]pdsa Zimcmin Iƒ°v)

afiqIKXn AizhcπpXn N knwlmhtemIx {Xnhn[m -

A≤ymbw 22 (Bbp¿±mbZiIƒ) 475

˛ afiqIKXn, XpcKKXn, knwlmhtemI\w

F∂o aq∂p Xcw {]tXyI KXnIƒIqSn D≠v.

XZm\ow Zim¥cw ZpJ^e{]Zw kymXv ˛ AØcw ZiIƒ tZmj^ew sNøpw.

(1) knwlmhtemI\KXn

AizXn {Kq∏n¬, taSwapX¬ ao\whscbp≈ ]{¥≠p cminIfpsS Hcp ]cnhrØn

]q¿Ønbm°n, ASpØ ]{¥≠p cminIfpsS ]cnhrØn Bcw`n°p∂Xv hr›nI

ØnemWt√m. ao\Øn¬\n∂pw hr›nIØntebv°p ≈ Cu Nm´amWv knwlKXn. CXp

t]mse ]{¥≠p cminIfpsS Hcp ]cnhrØn ]q¿Ønbm°n ASpØXv Bcw`n°ptºm

sg√mw knwlKXn Bh¿Øn°p∂Xmbn ImWmw. knwlKXn˛̨

(1) knwlKXn.

\£{X{Kq∏v ]mZw ]mZw

AizXn 2 ao\w˛hr›nIw, 3 [\p˛taSw

`cWn 2 [\p˛taSw, 3 ao\w˛hr›nIw

tcmlnWn 2 hr›nIw˛ao\w. 3 taSw ˛[\p

aIbncw 2 taSw˛[\p, 3 hr›nIw˛ao\w

DZmlcWw

]mZw 2 10 11 12 8 7 6 4 5 3

]mZw 3 2 1 12 11 10 9 1 2 3

(2, 3) Aizhc (a¿°So) afiqI KXnIƒ

1. H‰ cminIƒ am{Xap≈ I¿°SI˛NnßßfnemWv Cu KXnIƒ hcp∂Xv.

2. AizXn˛`cWn {Kq∏pIfn¬ cmin{Iaw ]ndtIm´p t]mIptºmgpw

tcmlnWn˛aIbnc{Kq∏pIfn¬ apt∂m´v t]mIptºmgpamWv Cu c≠p

KXnIfp≠mhpI.

3. ImeN{IZibn¬ Zim{Iaw Hcp cminsb adnIS∂v (NmSn°S∂v) ASpØ

cminbntebv°p t]mIp∂XmWv afiqInZi.

4. Cßs\ NmSn°S∂ Zi ho≠pw ]ndtIm´p h∂p ]gb KXn XpScp∂XmWv

a¿°SoZi.

DZmlcWw cminIƒ

1. AizXn {Kq∏v ]mZw 2 6˛4˛5

2. `cWn {Kq∏v ]mZw 1 6˛4˛5

3. tcmlnWn{Kq∏v]mZw 1 3˛5˛4

]mZw 4 3˛5˛4

4. aIbncw {Kq∏v]mZw 3 3˛5˛4

^eZo]nI 476

--sImSpß√p¿ ]Xn∏n¬ Cu aq∂p {]tXyI KXnIsf hnhcn°p∂ c≠p t«mI߃

ImWp∂p≠.v. XmXv]cyw CXpXs∂.

(13)

XZzmIyh¿W{Iatim f ]lmc˛

h¿jmltX XXv]cambpcm]vtX

XZm Zimbma]lmch¿j

kwJym› amkmμnhkm≥ htZbpx.

10. A]lmc߃ ImWp∂ coXnZimh¿jsØ A]lmc\mYs‚ h¿jwsIm≠p KpWn®v ]cambp psIm≠p

lcn®m¬ -- A]lmcImew In´pw.h¿jw Ign™p hcp∂Xns\ ]{¥≠psIm≠p

s]cp°nbm¬ amkhpw, amkw Ign™phcp∂Xns\ ap∏XpsIm≠p s]cp°nbm¬

Znhkhpw In´pw. ]cambp ns\∏‰n ]dbp∂Xv ASpØ t«mIØnemWv.

(14)

hmtIyjp bmhOcZmw {]amWw

hZ¥n XmhXv ]cambpc{X

tajmZ\oIw aZ\w KtP\

Xpμx ]p\ss›hapZocnXw XXv.

11. \£{X]mZ ]cambp vhmtIyjp.... ̨ (Xmsg) hmIyßfn¬ {]amWambn ]d™n´p≈ h¿jßfmWv Hmtcm

\£{X ]mZØns‚bpw ]cambp v.

tajmXv ˛ taSw XpSßnb cminIƒ°v

A\oIw aZ\w KtP\ Xpμx

001 58 38 68

= 100 85 83 86

Cu {Iaw AizXn, `cWn {Kq∏pIfptSXmWv.

]p\x N Ghw DZocnXw XXv ˛ tcmlnWn, aIbncw {Kq∏pIƒ°v CXp

hn]coXambn hcpw.

\£{X]mZw \£{X{Kq∏pIƒ \£{X{Kq∏pIƒ

AizXn˛`cWn tcmlnWn˛aIbncw

Im¿ØnI XncphmXnc

]mZw 1 100 86

A≤ymbw 22 (Bbp¿±mbZiIƒ) 477

]mZw 2 85 83

]mZw 3 83 85

]mZw 4 86 100

Hcp \£{X]mZØns‚ Zimcw`w km[mcW KXnbn¬ -- cminIfpsS CSbv°mWp

hcpI. AXp ImcWw ]cambp v XnIbmsX hcpw. At∏mƒ ASpØ ]mZØns‚

Zim{IaØnse BZycminsb XpS¿® cminbmbn FSp°Ww. AtX \£{X]mZØns‚

cminIƒ Bh¿Øn®p hcpw F∂ A`n{]bhpw \nehnep≠v.

12 Zim^ew

(15)

almZimkp bXv^ew {]Io¿XnXw abm ]pcm

XtZh tbmPtbXv _pt[m Zimwkp ssNhamZnjp.

almZimkp ˛ hnwtimØcnZib°v (19, 20, 21 A≤ymbßfn¬)

bXv ^ew ˛ bmsXmcp ^eamtWm,

{]Io¿ØnXw abm ]pcm ˛ F∂m¬ t\csØ ]dbs∏´Xv,

XXv Gh ˛ AXpXs∂,

Zimwkp N Ghw BZnjp ˛ Cu ZiIƒ°pw,

tbmPtbXv ˛ tbmPn∏n®p ]dbWw.

ImeN{IZimk{ºZmbØnse Bbp¿KWnX`mKØns‚ Hcp kw{Klw am{XamWvv

ChnsS \¬Inbn´p≈Xv. hnkvXcn® ^e{]hN\Øn\v hnwtimØcnZibv°p ]d™

^e߃ tN¿Øp Nn¥n°mhp∂XmWv.

IqSpX¬ -- hnhc߃°pw hnkvXcn® ^e`mKØn\pw PmXI]mcnPmXw, {io

apØpkzmanbpsS ImeN{IZi XpSßnb {KŸßƒ klmbn°pw.

(ImeN{IZibnse Zim\mY]´nI A\n_‘w 4˛¬ sImSpØn´p≠v.)

2. DXv]∂ B[m\ almZiIƒ(\£{XZiIƒ)

(16)

P∑¿£mXv ]cXkvXp ]©a`hm f tYmXv]∂ kw⁄m Zim

kymZm[m\Zim f ]ytXm f jvSa`hmXv t£am∑lmJym Zim

Bkmtah Zimhkm\katb arXyp{]Zm kym∂rWmw

kz¬]m\¬]kambpjmw(1) {Xnh[]©¿t£ Zimbm¥nta.

(1) ]mTt`Zw ˛ km¬]w Zo¿Lkambpjmw

^eZo]nI 4781. P∑¿£mXv ]cXkvXp ˛ P∑\£{XØn¬\n∂pw

]©a `hmXv D¬∏∂kw⁄m Zim ˛ A©masØ \£{XØns‚ Zi

D¬∏∂ F∂p t]cmb ZibmIp∂p.

2. B[m\Zim AjvSa`hmXv ˛ F´mw \£{XØns‚ Zi B[m\Zi.

3. t£amXv almJym Zim. ˛ t£aw ˛ kpJw ˛ \mev.

\memw \£{XØns‚ Zi almZi.

4. Zimhkm\katb arXyp{]Zx kymXv \rWmw

˛ Cu ZiIfpsS Ahkm\ kabw (Zimk‘n

Iƒ) a\pjy¿°p amcIamWv.

5. kz¬] A\¬] ka Bbpjmw ˛ A¬∏mbp v, Zo¿Lmbp v, a≤ymbp v

F∂nßs\bp≈ aq∂v Bbp¿KWØn¬

s∏´h¿°v

. {Xn h[ ]©¿t£ Zimbm¥nta. ˛ ({IaØn¬) aq∂v, Ggv, A©v F∂o \£{X

ßfpsS ZiIfpsS A¥yw arXyp{]ZamWv.

\£{X Bbp¿±iIƒ

\£{X߃ 5 8 4 3 7 5

t]cv D¬∏∂ B[m\ alm A¬∏ Zo¿L a≤y

3. \nk¿§Zi

(17)

GIw tZz \hhnwiXn¿[rXnIrXnx ]©mitZjmw {Iam˛

®{μmtcμpPip{IPohZn\Irss±hmIcoWmw kamx

sskz sskzx (1) ]pjvS^em \nk¿KP\nssXx ]w‡n¿Zimbmx {Iam˛

Zt¥ e·Zim ipt`Xn bh\m t\—¥n tINnØYm.

(1) ]mTt`Zw ˛ tkz tkz

GI tZz \h hnwiXnx [rXn IrXnx ]©miXv GXmx {IamXv

1 2 9 20 18 20 50 = (120) Cu {IaØn¬

N{μ Bc CμpP ip{I Poh Zn\IrXv ZnhmIcoWmw

N Ip _p ip Kp c a ˛ XpSßnbhcpsS

kamx ˛ (Zim) h¿j߃ BIp∂p.

A≤ymbw 22 (Bbp¿±mbZiIƒ) 479

tkz tkz ]pjvS^em\n.... ˛ Zim\mY∑m¿°p _eaps≠¶n¬ Ah

chcpsS Zibn¬ ip`^e߃ D≠mIpw.

At¥y e·Zim ipt`Xn bh\m ˛ e·ZibpsS Ahkm\`mKw ip`sa∂mWv

bh\mNmcycpsS A`n{]mbw.

\ C—¥n tINnXv XYm ˛ Nne¿ CXnt\mSp tbmPn°p∂n√.

\nk¿§ZiIƒ

{Klw Zimh¿jw hb v (h¿jw)

N{μ≥ 1 1

IpP≥ 2 2˛3

_p[≥ 9 4˛12

ip{I≥ 20 13˛32

Kpcp 18 33˛50

chn 20 51˛70

aμ≥ 50 71˛120

e·Zi .... 5 Znhkw

BsI 120 h¿jw 5 Znhkw

\nk¿§Zimh¿jhpw Zim{Iahpw F√mh¿°pw Hcpt]msebmWv.

Cu Zimh¿j߃ ]q¿Æ_eap≈ AYhm ]ctam®∑mcmb {Kl߃°p≈XmWv.

AXp{]Imcw {Klw \oNØnemsW¶n¬ Zimh¿jw CXns‚ ]IpXntb hcq. Nne Ipdbv°

epIƒ (lcW߃) IqSn sNøm\p≠v. AXp sNbvXm¬ Pohi¿ΩZit]mse hcpw.

e·Øn¬ IpP≥ \n∂m¬ apgph≥ Bbp pw t]mIpw. N{μ≥ \n∂m¬ ]Ønsem∂p

t]mIpw.

Zn√n ]Xn∏pIfn¬ ChnsS sNdnb hyXymkw ImWp∂p≠v. e·Zi A¥yØn¬

ip`amIpsa∂Xn\p ]Icw i\nbpsS AºXp h¿jØn¬ e·Øns‚ ZiIqSn

Dƒs∏Sp∂psh∂ ImcyamWv bh\mNmcycpsS A`n{]mbambn sImSpØn´p≈Xv.

AsX¥mbmepw, a‰p ]e {KŸßfnepw CØcw ZiIfn¬ ˛̨ \nk¿§Zi, D®\oNZi

(]nfiZi), Pohi¿ΩobZi XpSßnbhIfn¬ ̨ ˛ {KlßfpsS Zimh¿jw ]dbp∂nSØv

e·Øns‚ Zimh¿jw ImWp∂ coXnIqSn sImSpØn´p≠v.

4. AwiIZiBbp¿±mbKWnXØnse Hcp {][m\ZibmWv AwiZi. hcmlanlnc≥ hfsc

_lpam\n®ncp∂ kXymNmcycptSXmWv Cu Zi. tlmcm imkv{XØn¬ Ggmw A≤ymb

Øn¬ (t«mIw 9 apX¬ 13 hsc) AwiIZi hnkvXcn®p ]dbp∂p≠v. kqcyN{μ∑mtc°mƒ

e·m[n]\p _eaps≠¶n¬ Cu ZimcoXnbmWp tbmPn°pI F∂mWv A`n{]mbw.

^eZo]nI 480

(18)

en]vXoIrXy `tPXv {Klw JL\ss\kvX—njvSambpjvIem

BimJmiznlrXm_vZamkZnhkmx ktXymZntXw f imbpjn

h{InWyp®KtX {XnkwKpWanZw kzmwi{Xn`mtKmØta

ZznLv\w \oNKtX f ¿[a]yY Zfw autVy knXm¿°o hn\m.

1. AwiIZi ImWp∂ hn[w

1. en]vXoIrXy `tPXv {Klw JL\ss\kvX—njvSambpjvIem.....

ktXymZntX Awimbpjn ˛ kXymNmcy≥ ]d™ AwiIZibn¬

{Klw ˛ {Klkv^pSsØ.

en]vXoIrXy ˛ IeIfm°n.

`tPX v JL\ss\.

J L \ ss\

2 4 0 0 = 2400 sIm≠p lcn®m¬

XXv injvSambpjvIem ˛ In´p∂. injvSw (lcW^ea√, _m°n

hcp∂ kwJy) IeIfnep≈ Bbp mIp∂p

2 BimJmizn (BImimizn) lrXm_vZamkZnhkmx ktXymZntXw f imbpjn

˛ ta¬∏d™ IeIfnep≈ Bbp ns\

(1) 200 sIm≠p lcn®m¬ h¿jhpw

(2) _m°nsb 12 sIm≠p KpWn®v 200 sIm≠p lcn®m¬ amkhpw

(3) AXn¬ _m°n h∂Xns\ 30 sIm≠p KpWn®v 200sIm≠p lcn®m¬

Znhkhpw In´pw.

(Cßs\ F√m {KlßfptSbpw Bbp¿h¿jw ImWWw.)

tlmcbnse {Kl`p‡\hmwicminXpeyw.... F∂ hmIya\pkcn®v AwiIZibn¬

Hmtcm {Klhpw \¬Ip∂ Bb v B {Klw `pPn® (]n∂n´) \hmwiIØn\p XpeyamWv.

Hcp \hmwiØn\v Hcp h¿jw F∂XmWv IW°v. Hcp \hmwiw -= 3--̨ 20 = 200 ”.200 (\hmwiw) sIm≠pw 12 (cminN{Iw) sIm≠pap≈ c≠p lcWßsf tN¿ØmWv

^eZ]nIbn¬ 2400˛sIm≠p lcn°Wsa∂p ]d™ncn°p∂Xv. {Klkv^pSØn¬ F{X

\hmwißfp≠v F∂dnbm\mWv 200 sIm≠p lcn°p∂Xv.

Hcp \hmwiafiesØ AYhm AwiIN{IsØbmWv 12 kqNn∏n°p∂Xv.

H∂ne[nIap≈ afießsf IeIfnep≈ {Klkv̂ pSØn¬\n∂pw \o°m\mWv CXv.

AXns‚ Xm¬∏cyanXmWv. 200 IeIƒ hoXap≈ 12 AwiI߃ tNcptºmƒ Hcp afieamIpw.

(3˛20 $ 12 = 40 `mK). 360 `mKbp≈ cminN{IsØ HºXp `mKam°ptºmƒ 40 `mKbmWt√m

In´pI. AXmbXv, cminN{IsØ HºXnsem∂m°nbm¬ \hmwiafiew. \hmwiafie

sØ HºXnsem∂m°nbm¬ \hmwiw.

A≤ymbw 22 (Bbp¿±mbZiIƒ) 481

{Klkv̂ pSsØ IeIfm°n, IeIsf 200 sIm≠p lcn®v, 12 -̨s‚ KpWnX߃ \o°w

sNbvXm¬, As√¶n¬ 2400˛sIm≠p lcn®m¬, In´p∂ injvSw IeIfnep≈ Bbp mWv.

CXns\ Hcp \hmwiØn\v Hcp h¿jw F∂ IW°n¬ h¿j˛amk˛Znhkßfm°Ww.

2 AwiIZi : KWnXwDZmlcWPmXIØnse kqcykv^pSw: = 1˛25˛31

1. {Klkv^pSsØ (1 cmin 25 `mK 31 Iesb) IeIfm°pI

1 $ 30 = 30 + 25 = 55 $ 60 = 3300 + 31 = 3331 Ie

2. AXnse 2400˛Iƒ F√mw \o°w sNbvXv injvSw ImWpI

3331˛s\ 2400 sIm≠p lcn°ptºmƒ 1 (2400) In´pw. CXns\

Dt]£n®v injvSwsIm≠v {Inb XpScWw. injvSw (3331 ˛̨ 2400 ) = 931 Ie

3. injvSw h∂ 931 Iesb Hcp \hmwiØn\v Hcp h¿jw F∂ IW°n¬

h¿jam°Ww

Hcp \hmwiw 3 `mK 20 Ie = 200 Ie

931 / 200 = 4.655 = 4 h¿jw

_m°n .655 s\ 12 sIm≠p s]cp°n amkßfm°Ww

(655 / 1000)$ 12 = 7.86 = 7 amkw

_m°n . 86 s\ 30 sIm≠p s]cp°n Znhkßfm°Ww

(86 / 100) $ 30 = 25.8 = 26 Znhkw

(.8 s\ 24 sIm≠p s]cp°n aWn°qtdm, 60 sIm≠p s]cp°n \mgnI

Itfm B°mw. ChnsS .5 t\°mƒ IqSpXembXn\m¬ 1 Bbn FSpØp.)

3. h{IØnepw D®Ønepw a‰pw \n¬°p∂ {KlßfpsS

Zimh¿jØn¬ hcp∂ h¿≤\

2. h{InWyp®KtX {XnkwKpWanZw kzmwi{Xn`mtKmØta ZznLv\w ....

h{InWyp®KtX...... ˛ h{IØntem D®Øntem D≈ {KlßfpsS

Bbp¿h¿jsØ.

{XnkwKpWanZw ˛ aq∂psIm≠p s]cp°Ww. (aq∂nc´nbm°Ww)

^eZo]nI 482

kzmwi{Xn`mtKmØssax ZznLv\w ˛ kz¥w \hmwiw, kz¥w t{Z°mWw, h¿t§mØaw

Chbn¬ \n¬°p∂ {KlßfpsS Bbp¿

h¿jsØ c≠psIm≠p s]cp°Ww.

(Cc´nbm°Ww).

Zimh¿j h¿≤\˛̨

1. D®w, h{Iw $ 3 (+)

2. kzt£{Xw, kzt{Z°mWw,

kz\hmwiw, h¿t§mØa\hmwiw $ 2 (+)

4. \oNauVylcWw

3. \oNKtX f ¿[a]yY Zfw autVy knXm¿°o hn\m.\oNKtXx A¿≤....

\oNKtX f ¿[ ˛ \oNØnep≈ {KlØns‚ ]IpXn

Ipdbv°Ww.

Zfw autVy knX A¿°o hn\m. ˛ ip{I≥, i\n Chsbmgn®p≈ {Kl߃°v

auVyØn¬ ]IpXn Ipdbv°Ww.

\oNØnepw auVy Ønepw \n¬°p∂ {KlßfpsS Zimh¿jØn¬ hcp∂

Ipdhv˛̨

\oNw, auVyw (ip, a HgnsI) ˛ 1/2 (-- ˛̨ )

(19)

k¿hm¿≤{XnIrtXjp(1)j◊nXeh{lmtkm f kXmapXv{IamXv

cnx^mXv kXvkp Zfw XZm lcXn _teytIm _lptjzIt`

{Xywtim\w cn]pt` hn\m £nXnkpXw ktXym]tZti Zim˛

e·kymwikam _en\ypZbt` f kym{Xm]n Xpeym]n N..

(1) ]mTt`Zw: civanXehm{≤mtkm

5. Zriym¿≤lcWw.

1. cn^mXv ˛ 12 apXemb `mhßfn¬ \n¬°p∂

AkXm ˛ ]m]{KlßfpsS AwiIZibn¬ \n∂p

DXv{IamXv ˛ {IaØn¬

k¿hm¿≤{XnIrtXjpj◊nXeh{lmtkm

˛ apgph≥, ]IpXn, 1/3, 1/4, 1/5, 1/6 F∂

{IaØn¬ Bbp p Ipdbv°Ww.

2. kXvkp Zfw.... ˛ Cu`mhßfn¬ \n¬°p∂Xp ip`{Klßfm

A≤ymbw 22 (Bbp¿±mbZiIƒ) 483

sW¶n¬ Cu ]d™Xns‚ ]IpXn hoXw

Ipd®m¬ aXn

3. _lpjp GIt` ˛ Hcp cminbn¬ ]e {Klßfps≠¶n¬

IqSpX¬ _eap≈ Hcp {KlØns‚ h¿j

Øn¬ am{Xta Ipdhp sNtø≠Xp≈q.

1. cnx^w apX¬°p≈ `mhßfn¬ (Zriym¿≤Øn¬) ]m]∑m¿ \n∂m¬

Bbp¿h¿jØn¬ hcp∂ Ipdhv

`mhw 12 11 10 9 8 7

Ipdbvt°≠Xv apgph≥ 1/2 1/3 1/4 1/5 1/6

2. Zriym¿≤Øn¬ ip`∑m¿ \n∂m¬ ]m]∑m¿°p ]d™Xn¬ ]IpXn Ipdbv°Ww

`mhw 12 11 10 9 8 7

Ipdhv 1/2 1/4 1/6 1/8 1/10 1/12

3. Hcp cminbn¬ H∂ne[nIw {Kl߃°p Zriym¿≤lcWw hcp∂psh¶n¬ IqSp

X¬ hcp∂Xv (lcWw A[nIap≈ Hcp {KlØns‚ Bbp n¬) am{Xta Ipdhp

hcptØ≠Xp≈p

6. i{Xpt£{XlcWw4. {Xywtim\w cn]pt` hn\m £nXnkpXw ˛ IpP≥ HgnsIbp≈ {Kl߃

i{Xpt£{XØn¬ \n∂m¬ 1/3 Ipdbv°Ww

.

AwiIZibnse samØw Iq´epw Ipdbv°epw:

1. h¿≤\Iƒ: D®w, h{Iw, kzt£{Xw, kzt{Z°mWw,

kz\hmwiw, h¿t§mØa\hmwiw

2. lcW߃: \oNlcWw, auVylcWw, Zriym¿≤lcWw i{Xpt£{XlcWw

Iq´epw Ipdbv°epw ˛ GXv BZyw thWw?

Cc´n°epIƒ BZyw sNøtWm, lcW߃ BZyw sNøtWm Fs∂mcp kwibw

hcmw. lcW߃ Ign®p _m°nbp≈Xns\ Cc´n°pIbm Wv th≠Xv. AXmbXv,

Zimh¿jw I≠v, \mep lcWßfpw sNbvXn´pthWw h{InWyp® KtX....bn¬ ]dbp∂

h¿≤\Iƒ sNøphm≥.

8. e·mbp v (AwiIZibnse e·Zi)5. e·kymwikamx ˛ e·Øn¬ sN∂ \hmwiØn\p XpeyamWv

e·mbp v,

^eZo]nI 484

6. _en\n DZbt`... ˛ e·Øn\mWv A[nIw _esa¶n¬,

F{X cminbmtWm Ign™Xv, A{Xbpw

h¿jamWv e·mbp v. (Hcp \hmwiw Hcp

h¿jw / Hcp cmin Hcph¿jw)

1. e·cminsb°mƒ _ew e·cmiywiIØn\msW¶n¬ AwiIØn\p

Xpeyambncn°pw Bbp v. AYhm e·Øns‚ \hmwiIm[n]\v e·m[n]t\°mƒ _ew

IqSppsa¶n¬ e·kv^pSØn se cmin If™v _m°nsb IeIfm°n 200 sIm≠p

lcn°Ww. BZyw In´p∂Xp h¿jw. _m°nsb 12˛epw 30˛epw s]cp°n 200˛sIm≠p lcn®p

amkhpw Znhkhpw ImWWw.

2. AwiIØnt\°mƒ A[nIw _ew e·Øn\msW¶n¬ cmin°p X p e y a m W v

Bbp v. AYhm e·\hmwiIm[n]t\°mƒ e·m[n]\p _ew IqSpsa¶n¬

e·kv̂ pSsØ cminbS°w IeIfm°n (200 $ 9) 1800 sIm≠p lcn°Ww. lcW^ew

h¿jw. tijn®Xns\ amkhpw Znhkhpam°Ww. k]vX{KlßfptSbpw e·Øns‚bpw

ZiIƒ Hcpan®p Iq´nbXmWv AwiI Zibnse ]cambp v.

(20)

ktXym]tZix {]htcm f {X In¥p

Ip¿h¥ytbmKyw _lph¿§Wm`nx

BNmcyIw Xz{X _lpLv\Xmbm˛

taI¥p bZv̀ qcn XtZh Imcyw.

ktXym]tZix ˛ kXymNmcycpsS D]tZiw (a‰p≈hcptSX

t]£n®v)

{]hcx A{X ˛ {]hcamWv, t{ijvTamWv.

In¥p ˛ F∂m¬.

Ip¿h¥n AtbmKyw _lph¿§Wm`nx ˛ (F∂m¬ Nne¿) _lph¿§Ww ( series ofmultiplications) sIm≠v CXns\ AtbmKy

am°p∂p.

BNmcyIw Xp A{X ˛ ktXym]tZiw A\pkcn®v .

_lpLv\Xmbmw GI¥p bZv̀ qcn XXv Gh Imcyw

˛ ]e Iq´epIƒ hcp∂psh¶n¬ AXn¬ G‰hpw

A[nIap≈Xpam{Xw FSpØm¬ aXn.

Cu t«mIw tlmcmimkv{Xw Ggmw A≤ymbØn¬\n∂pap≈XmWv. (7-̨ -12) AhnsS

]nfiZi (D®\oNZi), Pohi¿ΩZi, AwiIZi F∂o aq∂v Bbp¿±mbZiIfpw

hnhcn®Xn\ptijamWv Cu t«mIw hcp∂Xv. a‰p c≠p ZiIsf At]£n®v AwiIZibmWv

IqSpX¬ IrXyambn ImWp∂Xv. F¶nepw Nne¿ KWnXw sX‰mbn sNbvXv AXns‚ KpWw

A≤ymbw 22 (Bbp¿±mbZiIƒ) 485

Ifbp∂Xn\m¬ icnbmb coXn hy‡am°pIbmWv ChnsS.

Bbp¿±mbKWnXØn¬ kXymNmcys‚ Cu AwiIZiXs∂bmWv

t{ijvTambn´p≈Xv. ]t£, A\mhiyambv s]cp°epIƒsIm≠v Nne¿ AXns‚ KpWw

Ifbp∂p. AXmbXv, Hcp {Klw \n¬°p∂Xv Htc kabw AXns‚ kzt£{XØnepw

D®Ønepw h{IØnepw BsW¶n¬ Bbp¿±mbw BZyw Cc´n°pI, ]ns∂ aq∂nc´n B°pI,

F∂nßs\ ]e {InbIƒ sNøp∂p. Aßns\ ]mSn√. aq∂nc´nbm°pI F∂ H‰ {Inb

sNbvXm¬ aXn (IqSpX¬ KpWn°epIƒ hcptºmƒ G‰hpw A[nIap≈ Hcp KpW\w

am{Xw aXn F∂¿∞w.) Ipdbv°ens‚ ImcyØnepw Cu coXnX∂bmWv th≠Xv.

DZmlcWØn\v, i{Xpt£{XÿnXnbpw auVyhpw HØp hcp∂psh¶n¬ auVyØns‚Xp

am{Xw, AXmbXv ]IpXn am{Xw, Ipd®m¬ aXn.

5. ]nfiZi (D®\oNZi)

(21)

t[bw iqc itI {inbw kvab ]tc \n{Zmx kam `mkvIcmXv

]nfimJymbpjn ]q¿hh® lcWw k¿hw hnZ[ymZnl

et· ]m]n\n `w hnt\mZbessh¿\n¿≤m \XmMvssKx lrXw (1)

XymPyw kuay\nco£ntX¿f≤arWa{Xmbpjy`n⁄m hnZpx.

(1) ]mTt`Zw ˛ hnt\mZbessh¿hnLv\w \XmwtK lrXw.

1. ]nfiZimh¿j߃t[bw....]nfimJymbpjn ˛ kqcy≥ XpSßnbhcpsS ]nfimbp¿±mbw:

t[bw iqc itI {inbw kvab ]tc \n{Zmx kam `mkvIcmXv

91 52 51 21 51 12 02

19 25 15 12 15 21 20 ˛ ˛ F∂o h¿j߃ (127 h¿j߃)

c N Ip _p Kp ip a ˛ F∂ {IaØn¬

kqcymZn {Kl߃ \¬Ip∂, A\p{Iaambn´p≈, ]nfimbp h¿jßfmWv.

{Klw D®w h¿jw \oNw h¿jw

chn taSw 10 19 Xpemw 10 9 1/2

Nμ≥ CShw 3 25 hr›nIw 3 12 1/2

IpP≥ aIcw 28 15 I¿°SIw28 7 1/2

_p[≥ I∂n 15 12 ao\w 15 6

Kpcp I¿°Sw 5 15 aIcw 5 7 1/2

ip{I≥ ao\w 27 21 I ∂n 27 10 1/2

aμ≥ Xpemw 20 20 taSw 20 10

^eZo]nI 486

2. lcW߃]q¿hhXv N lcWw k¿hw hnZ[ymZnl ˛ t\csØ AwiImbp¿±mb Øn\p ]d™

F√m lcWßfpw ]nfimbp¿±mbØnepw

sNøWw.

{Kl߃ AXyp®Øn¬ (kqcy≥ taSw 10T XpSßnbh) \n∂memWp ta¬{]d™

Zimh¿j߃ e`n°pI. CXn¬\n∂p hyXykvXambn \oNÿnXn, i{Xpt£{XÿnXn,

auVyw, Zriym¿≤ÿnXn, e·Øn¬ ]m]ÿnXn F∂o A©p kμ¿`ßfn¬

Zimh¿jßfn¬ am‰w hcpw. Chbn¬ \mep lcW߃ ˛̨ \oNlcWw, auVylcWw,

Zriym¿≤lcWw, i{Xpt£{XlcWw F∂nh ˛̨ Awimbp¿±mbØn\p ]d™Xpt]mse

Øs∂ sNøWw. A©matØXmb {IqtcmZblcWw C\n ]dbp∂p.

3. {IqtcmZblcWwet· ]m]n\n `w... ˛ e·Øn¬ ]m]{Kl߃ (c, Ip, a) \n¬°p∂p

s≠¶n¬˛̨

1. e·kv^pSØnse cminsb \o°n `mKIeIsf IeIfm°pI.

2. AXpsIm≠v Hmtcm {Klhpw \¬Ip∂ Bbp¿±mbh¿jsØ s]cp°pI

. AXns\(Aßns\ In´p∂ ^esØ)

3. \XmwtK lrXw ˛ \ X K ˛ 063 ˛ 360T sIm≠ v AYhm 360w x 60’ = 216000’sIm≠p) lcn°pI. lcW^ew e·Øn¬ \n¬°p∂ ]m]{KlØns‚ (Ie

Ifnep≈) lcWamWv.

4. CXns\ Htcm {Klhpw \¬Ip∂ Bbp n¬\n∂pw Ipd®m¬ IrXyamb

Zimh¿jw (ip≤mbp v ) In´pw.

kuay\nco£ntXm... ˛ e·Øn\p ip`ZrjvSnbps≠¶n¬ ]IpXn

Ipd®m¬ aXn.

(22)

e·Zimawikamw _ehXywti hZ¥n ss]fiymtJy

_ebp‡w bZn e·w cminkssahm{X (1) \mwtim∞m.

(1) ]mTt`Zw : Ztim‡m.

4. e·Zie·Zim ss]fimtJy ˛ ]nfimbp¿±mbØnse e·Zi

_ehXn Awti Awikamw ˛ e·Øns‚ AwiIw (e·\hmwiw)

_etØmSp IqSnbXmsW¶n¬ AwiI

Øn\p kam\amb h¿jw.

_ebp‡w bZn e·w cminkaw ˛ e·w _etØmSpIqSnbXmsW¶n¬ cmin°p

Xpeyamb h¿jw.

A≤ymbw 22 (Bbp¿±mbZiIƒ) 487

1. e·Øns‚ \hmwi Im[n]\v e·m[n]t\°mƒ _ew IqSppsa¶n¬ e·kv^pS

Ønse cmin If™v _m°nsb IeIfm°n 200 sIm≠p lcn°Ww. BZyw In´p∂Xp

h¿jw. _m°nsb 12˛epw 30˛epw s]cp°n 200˛sIm≠p lcn®p amkhpw Znhkhpw

ImWWw.

2. e·m[n]\p e·\hmwiIm[n]t\°mƒ _ew IqSpsa¶n¬ e k v ^ p S s Ø

cminsb AS°w IeIfm°n 200 $ 9 = 1800 lcn°Ww. lcW^ew h¿jw. tijn®Xns\

amkhpw Znhkhpam°Ww.

3. cmiym[n]\pw \hmwiIm[n]\pw _ew Xpeyambn h∂m¬ c≠maXp ]d™ hn[w.)

(23)

lcWw \otN¿f≤arWw kymXv

kºq¿Æ t{]m‡h¿jap®Krtl

ss]fiymZu Zzy¥ctK

{]mss⁄kvss{XcminIw Nn¥yw.

5. \oNlcWw hy‡am°p∂plcWw \otN A¿≤w...

1. {Kl߃ D®ØnemsW¶nemWv ta¬∏d™ h¿j߃ In´pI.

2. {Kl߃ \oNØnemsW¶n¬ CXn¬ ]IpXn Ipdbpw.

3. D®Øn\pw \oNØn\pw CSbnepw \oNØn\pw D®Øn\pw CSbnepap≈

ÿnXn°v Bbp¿h¿jw ImWm≥ ss{XcminIw sNøWw .

(24)

ss]fiymJyambp¿{_phtX {][m\w

aWn∞NmWIyabmZb›

GX∂ km[znXyhZZv`Zt¥m (1)

hcmlkqcyky XtZh hmIyw.

(1) ]mTt`Zw: almt¥m ˛ alm∑m¿

6. A`n{]mbwss]fiymJyw Bbpx {_phtX {][m\w˛]nfimbp¿±mbw (D®\oNZi) DØa

amsWam∂mWv aWnŸ≥, NmWIy≥,

ab≥ F∂o BNmcy∑mcpsS

A`n{]mbw.

GXXv \ km[p CXn AhZXv `Zt¥m ˛ F∂m¬ Cu Zimk{ºZmbw Ip‰a‰X√

F∂p `Z¥≥ ]d™n´p≠v

hcmlkqcyky XtZh hmIyw ˛ hcmlanlncs‚ A`n{]mbhpw CXpXs∂

bmbncp∂p .

(`Z¥≥ ̨ _u≤k\ymkn / kXymNmcy≥).

^eZo]nI 488

6. Pohi¿ΩZi

(25)

kqcymZnIm\mw kzatX\ Poh˛

i¿Ωm kzcmwiw ]cambptjm f {XAkym]n k¿hw lcWw hnt[bw

]q¿thm‡h√·Zima]ol.

1. kzatX\ Pohi¿Ωm ˛ Pohi¿Ω F∂ BNmcys‚ A`n{]mbØn¬

kqcymZnIm\mw ˛ kqcy≥ XpSßnb k]vX{KlßfpsS

Bbp¿±mbw

kzcmwiw ]cambpj A{X ˛ ]cambp ns\ Ggmbn `mKn®XmWv.

2. Akym]n k¿hw lcWw hnt[bw ˛ CXpw t\csØ ]d™ ˛̨ ]nfiZi

bv°p ]d™ ˛̨ F√m lcW߃°pw

hnt[bamWv.

3. ]q¿thm‡h√·Zima]ol ˛ e·Zibpw t\ctØ ]d™Xpt]mse ˛

˛ ]nfiZibv°p ]d™Xpt]mse ˛̨ Øs∂.

Cu ZimcoXnbn¬, \nk¿§ZibnteXpt]mse, ]cambp v 120 h¿jw 5 ZnhkamWv.

CXns\ Ggmbn `mKn®Xv ˛̨ 17 h¿jw 1 amkw 22 Znhkw ˛̨ BWv Hmtcm {KlØn‚bpw Zi.

17 h¿jw 1 amkw 22 Znhkw 8 \mgnI -34 hn\mgnI $ 7 = 120-̨ 5

]nfiZibv°p ]d™ F√m lcWßfpw CXn\pw thWw. e·Zibpw AXp t]mseØs∂.

7. ]pcpjmbp v F{X?

(26)

\rWmw ZzmZih’cm ZilXm Bbpx {]amWw ]ssc˛

cmJymXw ]caw iss\kv{Xn`KtWm bmh÷ss\cocnXw

tINn®{μkl{kZ¿i\anl t{]m‡w Ieu In¥p b˛

tZzmtZm‡w icZ»Xw ln ]cambp¿±mbamN£vatl.

1. \rWmw ZzmZih’cm ZilXm Bbpx {]amWw

˛ Nne hnZzm∑mcpsS A`n{]mbØn¬ a\pjycpsS Bbp v \q‰ncp]Xv

h¿jamWv

2. ]ssc BJymXw ]caw iss\x {Xn`KtWm bmhXv Pss\x CucnXw ˛

˛ F∂m¬ a‰p NnecpsS A`n{]mbØn¬ i\nbpsS aq∂p `KWImew

( 30 $ 3) BWv ]cambp v.

A≤ymbw 22 (Bbp¿±mbZiIƒ) 489

3. tINnXv N{μkl{kZ¿i\anlt{]m‡w

˛ Bbncw ]q¿ÆN{μs\ ImWp∂XmWv ]q¿Æmbp v F∂pw ]£ap≠v.

4. Ieu In¥p bXv thtZm‡w icZ»Xw ln ]cambp¿±mbamN£vatl

˛ F∂m¬ thZw ]dbp∂Xv IenbpKØn¬ a\pjymbp v \qdp h¿jw

BsW∂mWv. \Ωfpw AXnt\mSp tbmPn°p∂p.

8. Zim{Iaw

(27)

e·mZntXyμpIm\ma[nI_ehXx

kym±imZu XtXm f \ym

XXvtI{μmZnÿnXm\manl _lpjp ]p\¿˛

hocytXm hocykmtay

_lzmbp¿h¿jZmXpx {]Yaan\him˛

t®mZnXkym_vZkmtay

hocyw InwXz{X k‘n¿{KlhnhclXw

`mhk‘y¥cm]vXw.

1. e· BZnXy Cμp`m\mw A[nI_ehXx kymXv ZimZu

˛ e·w, BZnXy≥, N{μ≥Chcn¬ A[nIw _eap≈ {KlØns‚ ZibmWv

BZyw hcpI.

2, XXx A\ym XXv tI{μmZn ÿnXm\mw Cl

˛ c≠maXmbn tI{μØn¬ \n¬°p∂ {KlØns‚ Zi hcpw

3. _lpjp ]p\x hocytXm

˛ tI{μØn¬ A[nIw {Kl߃ Ds≠¶n¬ Ahcn¬ _etadnbhs‚ Zi

FSp°Ww.

4. hocykmtay _lzmbpx h¿jZmXpx

˛ _ewsIm≠p XpeymhÿtbmSp IqSnb {Kl߃ tI{μØn¬ D≠mbm¬

A[nIw Bbp¿h¿jw Xcp∂ {KlØns‚ Zi FSp°Ww.

5. {]Yaw C\hti\ DZnX kymXv A_vZkmtay

˛ Bbp¿h¿jØnepw {Kl߃°p kmayw h∂m¬ kqcy_‘Øn¬\n∂pw

BZyw ]pdØp hcp∂ {KlØns‚ Zi BZyw hcpw.

6. hocyw Inw Xp A{X....

˛ C\n AYhm hocyw, Zimh¿jw, kqcytbmK Øn\ptijw BZyw DZn°pI

F∂nhsb√mØnepw HØphcnIbmsW¶n¬ ASpØ ÿm\Øp≈ {KlsØ

s°m≠p Nn¥n°Ww.

^eZo]nI 490

9. Cu ZiIƒ Nn¥nt°≠sXt∏mƒ

(28)

Awtim¤hw e·_emXv{]km[y˛

ambp› ]ntfim¤ha¿°hocymXv

ss\k¿§nIw N{μ_emXv {]km[yw

{_qbmXv {XbmWma]n hocykmtay.

(29)

tXjmw {XbmWmanl kwbpXnkvXp

{Xn`n¿lrXm sskh Zim {]I¬]ym

hocyw ZztbmsscIyZfw Xtbmx kymXv

tN÷ohi¿ambpcao _tem\mx.

1. e·Øn\mWv _ew IqSpXse¶n¬ Awimbp pw

2. kqcy\mWp _esa¶n¬ ]nfimbp pw

3. N{μ\mWp _esa¶n¬ \nk¿§mbp pw FSp°Ww.

4. ap≥]d™ aq∂nepw _ekmayw hcpIbmsW¶n¬, aq∂phn[ Bbp pw

Hcpan®pIq´n aq∂psIm≠p lcn°Ww.

5 cs≠ÆØn\p Xpey_ew hcnIbmsW¶n¬ c≠pw XΩn¬ Iq´n

c≠psIm≠p lcn°pI.

6 aq∂n\pw _eans√¶n¬, Pohi¿ΩobcoXn A\pkcn®p Zi ImWpI.

(30)

ImeN{IZim t⁄bm N{μmwtiti _em\zntX

kZm \£{Xam¿t§W Zim _ehXo kvarXm.

1. N{μmwtiti _em\zntX ImeN{IZim t⁄bm

˛ N{μs‚ \hmwiØns‚ \mY\v _eaps≠¶n¬ ImeN{IZi A\pkcn®p

^ew AdnbWw.

2. \£{Xam¿t§W Zim kZm _ehXo kvarXm ˛̨ \£{XZi (hnwtimØcn) ˛̨

Ft∏mgpw, F√m kμ¿`ßfnepw, ^ew ImWn°p∂XmWv.

(31)

kamx jjvSn¿ZznLv\m a\pPIcnWmw ]© N \nim

lbm\mw Zzm{XnwiXv JcIc`tbmx ]©IIrXnx

hncq]m km Xzmbp¿hrjalnjtbm¿ZzmZi iq\mw

kvarXw OmKmZo\mw ZiIklnXmx jSv N ]caw.

A≤ymbw 22 (Bbp¿±mbZiIƒ) 491

10. ]cambp v

1. jjvTn¿ZznLv\m a\pPIcnWmw... ˛ a\pjy¿°pw B\Iƒ°pw \q‰n bncp]Xp h¿jw

5 Znhkw

2. lbm\mw Zzm{XnwiXv ˛ IpXncbv°v ap∏Ønc≠p h¿jw

3. JcIc`tbmx ]©IIrXnx ˛ H´IØn\pw IgpXbv°pw Ccp]Ønb©p

h¿jw

4. hncq]m km]ymbpx hrjalnjtbm˛ Imfbv°pwt]mØn\pwCcp]Øn\mep h¿jw

5. ZzmZi iq\mw ˛ \mbbv°p ]{¥≠p h¿jw

6. OmKmZo\mw ZiIklnXmx jSv ˛ BSn\p ]Xn\mdp h¿jw

Cu t«mIw tlmcmimkv{XØn¬ --\n∂pap≈XmWv. (7˛5)

]cambpx h¿jw

h¿jw

a\pjy≥, B\ 120

IpXnc 32

H´Iw, IgpX 25

Imf, t]mØv 24

\mb 12

BSv 16

(32)

tb [¿ΩI¿Ω\ncXm hnPntX{μnbm›

tb]∞yt`mP\cXm ZznPtZh`‡mx

tb am\hm Z[Xn tb Ipeioekoamw

tXjmanZw IYnXambpcpZmc[o`nx.

11. ]cambp v B¿°p In´pw ?

1. tb [¿ΩI¿Ω\ncXm ˛ [¿ΩI¿Ωßfn¬ \ncXcmbn,

2. hnPntX{μnbm› - ˛ hnPntX{μnbcpambn

3. tb ]∞yt`mP\cXm ˛ ]∞y t`mP\Øn¬ cXcmbn

4. ZznPtZh`‡mx tb am\hm Z[Xn˛ {_m“WtZh`‡cmbn

5. tb Ipeioekoamw ˛ Ipeioe߃ A\pkcn®v Ignbp∂thm

tXjmanZw ˛ B a\pjy¿°mWv Cu Bbp v ]dbp∂Xv.

CXpw tlmcbnep≈ t«mIamWv. PmXI]mcnPmXhpw CXv D≤cn°p∂p≠v. .

^eZo]nI 492

C∂sØ `mcXob^etPymXnjØns‚ ASnÿm\{KŸsa∂dnbs∏Sp∂

tlmcmimkv{Xw AYhm _rl÷mXIw hnhcn°p∂Xv D®\oNZi, Pohi¿ΩZi,

AwiIZi F∂o aq∂p Zimk{ºZmb߃ am{XamWv. Ah Bbp¿\n¿ÆbØn\p am{Xa√

s]mXphmb ^e{]hN\Øn\pw D]tbmKn°m≥ th≠ am¿§\n¿t±ißfpw AhnsS

\¬Ip∂p≠v. F∂m¬ GItZiw \m\qdp h¿j߃°p tijw kamlcn°s∏´

]cmictlmcbn¬ 28 ZiIsf∏‰n ]dbp∂p≠v. Chbn¬ hnwtimØcnbv°p sX°pw

AjvtSmØcnbv°p hS°pw C∂p IqSpX¬ -- {]Nmcap≠v. Bbp¿ \n¿ÆbØn\pw

km[mcWKXnbn¬ C∂v ChsbØs∂ B{ibn°p∂p.