Phaladeepika chapter 24 for reference purposes

1. A≤ymbw 24 (AjvSIh¿§w ˛ XpS¿®) 515
Language : Malayalam
PHALADEEPIKA
(INDIAN ASTROLOGY)
CHAPTER TWENTY FOUR
ASHTAKA VARGA (contd.)
AUTHOR
MANTRESWARA
Translation, DTP and Layout by Mullappilly
Protected with Copy Right Rules by the TranslatorotecteL

2. ^eZo]nI 516
^eZo]nI
(tPymXnjw)
{KŸImc≥
at{¥izc≥
aebmfw X¿÷a
ap√∏n≈n

3. A≤ymbw 24 (AjvSIh¿§w ˛ XpS¿®) 517
A≤mbw 24
AjvSIh¿§w (XpS¿®)
1. n¿ΔN߃
1. AjvSh¿§w
2. `n∂mjvSIh¿§w
3. {]kvXmcmjvSIh¿§w
4. {XntImWtim[bpw GIm[n]Xytim[bpw
5.. ip≤]nfiw
2 Nne {][m AjvSh¿§^e߃ .
1. kqcymjvSh¿§^ew (]nXrt¢iw)
{XntImW£{X߃
tim[y]nfiw
tim[yhpw timjhpw.
2. N{μmjvSh¿§^ew (amXrlmn)
3. IpPmjvSh¿§^ew (ktlmZcKpWw)
4. _p[mjvSh¿§^ew (_‘pKpWw)
5. hymgmjvSh¿§^ew (]p{XKpWw)
. 6. ip{ImjvSh¿§^ew (If{XKpWw)
7. aμmjvSh¿§^ew (PmXIs‚ arXn)
3. {XntImWtim[
4. GIm[n]Xytim[
5 DZmlcWPmXIØn¬ k]vX{KlßfpsS AjvSh¿§w,
tim[Iƒ°p apºpw ]n≥]pw
6. tim[y]nfiw
7. cminKpWImc߃
8. {KlKpWImc߃
9. ImeN{I ZimKW
10 lcW߃
11. kapZmbmjvSh¿§w
12. kapZmbmjvSh¿§^ew

4. ^eZo]nI 518
1. n¿ΔN߃
1. AjvSh¿§w
Hcp cminsb F´p `mKßfm°nbpw e·hpw k]vX{Klßfpw tN¿∂ F´ns
_‘s∏SpØnbpw BWv AjvSh¿§w ImWp∂Xv. AjvSIh¿§Øn¬ Hcp cminbn¬
hcmhp∂ G‰hpw henb kwJy F´mWv. .kqcymjvSh¿§w, N{μmjvSh¿§w,
IpPmjvSh¿§w, _p[mjvSh¿§w, Kp¿hmjvSh¿§w, ip{ImjvSh¿§w, aμmjvSh¿§w,
e·mjvSh¿§w. F∂nhbmWv AjvSh¿§w..{KlßfpsS AjvSh¿§_ew ImWp∂Xnv
D]tbmKs∏SpØp∂ps≠¶nepw, e·mjvSh¿§w e·Øns‚ ^e{]hNØnp hcp∂n√.
.
2. `n∂mjvSIh¿§w
AjvSh¿§anSptºmƒ cminN{Iw hc®v AXmXv A£ßƒ°v AXmXp {KlßfpsS
t]scgpXp∂XmWv `n∂mjvSh¿§w. Hmtcm cminbnepw BcpsSsb√mw A£amWp
hoWncn°p∂sXp a n°m≥ CXv D]Icn°pw.
3. {]kvXmcmjvSIh¿§w
k]vX{Klßfpw e·hpw F´pw Hmtcm cminbptSbpw 1/8 `mKØns‚ ]XnIfmWv.
GXp I£ybnemtWm A£w hngp∂Xv, B `mKØp k©cn°ptºmgmWv B AjvSh¿§
mY≥ Xs‚ ImcIXz߃ Apkcn®p≈ ^ew ¬Ip∂Xv. (Hcp `mKw 30/8 = 3.45 Un{Kn)
4. {XntImWtim[bpw GIm[n]Xytim[bpw
AjvSh¿§Øn¬ Hmtcm {KlßfpsSbpw A£ßƒ C´p Ign™m¬ ]ns∂
D]cnKWnXØnp th≠n Ahsb {Ias∏SpØn FSp°p∂XmWv Ch. c≠pw ∂mep
XcØn¬ sNømp≠v
5. ip≤]nfiw
AjvSh¿§Øn¬ {XntImWtim[bpw GIm[n]Xytim[bpw Ign®v tijap≈
A£ßsf AXmXp cminIfptSbpw AhnsS n¬°p∂ {KlßfptSbpw KpWImcwsIm≠v
vKpWn®v F√mwIqSn Iq´n°n´p∂XmWv ip≤]nfiw.
tlmcmimkv{Xw HºXma≤ymbw AjvSh¿§{]IcWamWv. AXn¬ BsI F´p
t«mIßtf D≈q ˛˛ Ggp t«mIßfn¬ Ggp {KlßfpsS AjvSIh¿§ßfpw F´masØ
t«mIØn¬ Ah ^ehn]mIsØ Fßs kzm[on°p∂psh∂pw hnhcn°p∂p. (Cu
t«mIw Ign™ A≤ymbØn¬ ]Ømwt«mIambn h∂n´p≠v.) Cu F´p t«mIfpsS
hnjbsØbmWv ^e Zo]nIc≠≤ymbßfnembn 68 t«mIßfn¬ hnhcn®n´p≈Xv.
BZyImeØv Nmc^ew kq£vaam°m≥ D]tbmKn®ncp∂ AjvSIh¿§w C∂v
^e{]hNØnp≈ Hcp {]tXyI imJ (Ashtakavarga system of Prediction) bmbnØs∂
hf¿∂n´p≠v.

5. A≤ymbw 24 (AjvSIh¿§w ˛ XpS¿®) 519
^eZo]nI Ign™ A≤ymbØn¬ `n∂mjvSh¿§w, {]kvXmcmjvSh¿§w,
k¿hmjvSh¿§w, F∂nh {]Xn]mZn®p. Cu A≤ymbØn¬ AjvSh¿§sØ Iptd°qSn
kq£vam°mp≈ {InbIfmb {XntImWtim[, GIm[n]Xytim[ F∂nhbpw B
tim[Iƒ°ptijap≈ AjvSh¿§w D]tbmKn®p≈ ^e{]hNcoXnbpw hnhcn°p∂p
2. Nne {][m AjvSh¿§^e߃ .
1. ]nXrt¢iw (kqcymjvSh¿§^ew)
(1 ˛ 3)
A¿°ÿnXky htam cminx ]nXrKrlx kvarXx
X{Zmin^ekwJym`n¿h¿≤tbt—m[y]nfiIw.
k]vXhnwilrXm√_v[w £{Xw bmXn `mptP
Xkvan≥ Imte ]nXrt¢tim `hnjyXn kwibx.
XXv {XntImWKtX hm f ]n ]nXrXpeyky hm arXnx
kwtbmKx tim[ytimjmWmw tim[y]nfi CXn kvarXx.
1. A¿°ÿnXky htam cminx - ˛ kqcy≥ n¬°p∂ cminbpsS HºXmwcmin.
2. ]nXrKrlx kvarXx ˛ ]nXr`mhamWv
3. XXv cmin^ekwJym`n ˛ B cminbpsS kwJysIm≠v
4. h¿≤tbXv tim[y]nfiIw ˛ tim[y]nfisØ* s]cp°n AXns
5. k]vXhnwilrXme_v[w ˛ 27 sIm≠p lcn°ptºmƒ In´p∂
6. £{Xw ˛ £{XØn¬°qSn
7. bmXn `mptP ˛ in k©cn°ptºmƒ
6. Xkvan≥ Imte ]nXrt¢tim `hnjyXn˛ ]nXrt¢iw D≠mIpw.
7. XXv {XntImWKtX hm]n ˛ AXns‚ {XntImW£{Xßfn¬**
hcptºmƒ
8. ]nXrXpeyky hm arXnx ˛ A—p Xpeymb Bƒ°v (DZm: ]nXr
ktlmZcv) acWw kw`hn°mw.
** {XntImW£{X߃
1 10 19
AizXn aIw aqew
`cWn ]qcw ]qcmSw
Im¿ØnI D{Xw D{XmSw
tcmlnWn AØw XncpthmWw
aIbncw Nn{X Ahn´w
XncphmXnc tNmXn NXbw
]pW¿Xw hnimJw ]qcqcp´mXn
]qbw Angw D{X´mXn
Bbneyw Xrt°´ tchXn
538

6. ^eZo]nI 520
KWnXw
1. DZmlcWPmXIØn¬ kqcy≥ CShØn¬.
CShØn¬n∂pw HºXmwcmin aIcw.
2. B cminbpsS kwJysIm≠v (kqcymjvSh¿§Øn¬ aIcØnse _nμp°ƒ
sIm≠v.)AYhm BdpsIm≠v tim[y]nfisØ s]cp°Ww.
tim[y]nfiw ˛ 84 (tim[y]nfiw F¥msW∂pw 84 F∂ kwJy Fßns
In´p∂psh∂pw hgntb hnhcn°p∂p≠v.)
= 84 x 6 = 504
4. 504 s 27 sIm≠p lcn°ptºmƒ injvSw hcp∂Xv 18.
AizXnbn¬n∂pw ]Xns´masØ £{Xw = Xrt°´.
5. in Xrt°´bn¬°qSn k©cn°ptºmƒ B kabØv ]nXrt¢iwD≠mIpw.
6. in AXns‚ (Xrt°´bpsS) {XntImW£{Xßfmb tchXn, Bbneyw Chbn¬
n¬°ptºmƒ A—p Xpey mb Bƒ°v (]nXrktlmZcv) acWw kw`hn°mw.
* tim[y]nfiw
kwtbmKx tim[ytimjmWmw tim[y]nfi CXn kvarXx
˛ tim[yw, timjw ChbpsS kwtbmKamWv tim[y]nfiw. (timjØnp ]Icw
tijw F∂pw ImWp∂p.)
tim[yhpw timjhpw.
AjvSh¿§Ønse bYm¿∞kwJybpw GIm[n]Xytim[, {XntImWtim[
F∂nhbv°p tijap≈ kwJybpw BWv Chsb∂mWv Nne hymJymXm°fpsS A`n{]mbw.
a‰p NnecpsS A`n{]mbw CXv Xmsg 23 apX¬ 26 hscbp≈ t«mIßfn¬ ]dbp∂,
Bbp¿±mbØns‚ kμ¿`Øn¬ hnhcn°p∂, kwJybmWv F∂mWv. kμ¿`hpambn
IqSpX¬ tbmPn°p∂Xv AXmIbm¬ B coXnbmWv ChnsS kzoIcn®n´p≈Xv. tUm.. _n.
hn. cmapw Cu coXnXs∂bmWv ]n¥pS¿∂n´p≈Xv.
Ccp]tØgv £{XkwJybmW.v Ccp]tØgp £{X߃ tNcptºmƒ Hcp
afieamIpw. (13˛20 x 27 = 360). tim[y]nfisØ AjvSh¿§wsIm≠p s]cp°ptºmƒ
In´p∂ DØcw km[mcW 360 Un{Knbn¬ IqSpXembncn°pw. AXpsIm≠mWv AXns
Ccp]Øntbgp sIm≠p lcn°p∂Xv. AXpt]mse lcW^ea√ injvSw hcp∂ kwJybmWv
ap°mhiyw. ChnsS Hcp Imcyw {]tXyIw Adnbmp≠v. Cu {InbsNbvXp ap°p In´p∂
h¿jw Nm{μh¿jamWv. AXns kuch¿jam°Wsa¶n¬ 324 (27 x 12) sIm≠p s]cp°n
365 sIm≠p lcn°Ww.
tKmNcØn¬ in IS∂p t]mIptºmƒ A—s‚ Bbp nv tZmjIcamb Hcp
£{Xwam{XamWv Ct∏mƒ In´nbn´p≈Xv. kwKXn Ipd®pIqSn hy‡amIWsa¶n¬ a‰p
Ipsd Imcy߃IqSn (A—s‚ PmXIØnse Bbp¿±mbw, acWkabw, Zim]lmc߃,

7. A≤ymbw 24 (AjvSIh¿§w ˛ XpS¿®) 521
tbmK߃ XpSßnbhbpw AΩ Pohn®ncn∏ps≠¶n¬ AhcpsS PmXIØn¬
ssh[hytbmKapt≠m Ds≠¶n¬ AXns‚ kabw XpSßnbhbpw) ]cnKWn°mp≠v.
]nXrktlmZcs‚ ImcyØnepw CØcw ]cntim[Iƒ BhiyamWv.
(4)
e·mXv kptJizcmwtiiZimbmw N ]nXr£bx
kpJmYZimbmw hm ]nXrXpeyarXnw htZXv.
e·mXv ˛ e·Øn¬n∂pw.
kptJizcmwtiiZimbmw ˛ memw`mhm[n]≥ n¬°p∂
hmwiIØns‚ mYs‚ Zibnepw.
]nXr£bx ˛ ]nXr acWap≠mImw.
kpJmYZimbmw]nXrXpeyarXnw ˛ memw `mhm[n]s‚ Zibn¬ ]nXrXpeycpsS
acWap≠mImw.
DZmlcWPmXIØnse e·w aow. e·Øn¬n∂pw memw`mhw anYpw. anYpØns‚
A[n]≥ _p[≥. _p[≥ AwiIn®ncn°p∂Xv anYpØn¬. _p[Zibn¬ ]nXrt¢iap≠mIw.
AXpt]mse memw`mhm[n]s‚ Zibn¬ (_p[Zibn¬) ]nXrXpeycpsS acWhpw
kw`hn°mw.
(5, 6)
kwtim[y ]nfiw kqcyky c{‘amt h¿≤tbXv
ZzmZti lrXmt—jcminw bmtX ZnhmItc.
XXv {XntImWKtX hm f ]n acWw Xky n¿±ntiXv
Ghw {KlmWmw k¿thjmw Nn¥tb∑Xnam∂cx.
kwtim[y ]nfiw kqcyky ˛ kqcys‚ AjvSh¿§w tim[n®v.
c{‘amt h¿≤tbXv ˛ (AXns) F´psIm≠p s]cp°n.
ZzmZti lrXm ˛ ]{¥≠p sIm≠p lcn°ptºmƒ.
tijcminw bmtX ZnhmItc ˛ _m°n hcp∂ cminbn¬ kqcy≥ hcptºmƒ.
]nXr£bx ˛ ]nXracWap≠mImw.
XXv {XntImWKtX hm f ]n ˛ B cminbpsS {XntImWcminbn¬ kqcy≥
hcptºmgpw.
acWw Xky n¿±ntiXv ˛ A—s‚ acWw ]dbWw.
Ghw {KlmWmw k¿thjmw ˛ C{]Imcw F√m {Klßsfs°m≠pw
Nn¥tbXv aXnam≥ cx ˛ Nn¥n°Ww.
kqcyss°m≠v A—s°pdn®p Nn¥n°p∂Xpt]mse a‰p {Klßsfs°m≠p a‰p
_‘p°sf°pdn®pw Nn¥n°Ww.

8. ^eZo]nI 522
DZmlcWw/hniZoIcWw:;
1. kqcys‚ tim[y]nfisØ F´psIm≠p s]cp°pI.
84 x 8 = 672.
CXns ]{¥≠psIm≠p lcn°pI.
672 / 12 = 56. _m°n 0.
A—s‚ acWØnp km[yXbp≈ £{Xw (mƒ), cmin (amkw) F∂nh ap°v
GItZiw Cßs KWns®Sp°mw. (A]arXyp CXn¬ s]Sn√.)
F´psIm≠p s]cp°Ww F∂p ]d™Xv h¿≤tbXv F∂ kwkvIrXw hm°ns‚
ASnÿmØnemWv. H∂mw t«mIØnepw Cu A¿∞wXs∂bmWv sImSpØn´p≈Xv.
F∂m¬ Cu t«mIØns‚ Nne hymJymßfn¬ s]cp°Ww F∂Xnp ]Icw Iq´Ww
F∂mWp ImWp∂Xv. ^eZo]nIbn¬Øs∂, CtX {Inb ]dbp∂ a‰p t«mI߃ Cu
hymJymØnv (Iq´env) ApIqeas√∂p ImWmhp∂XmWv.
2. amXrlmn (N{μmjvSh¿§^ew)
(7)
N{μm’pJ^ssex ]nfiw lXzm kmcmhtijnXw
iu bmtX amXrlmnx {XntImW¿£KtX f ]n hm.
(8)
N{μmXv kpJmjvStaimwi{XntImtW Znhkm[nt]
amXp¿hntbmKw X∑mtk n¿±nti√·Xx ]nXpx
N{μmXv kpJ^ssex .......
˛ N{μm¬ men¬ D≈ AjvSh¿§_nμp°sfs°m≠p tim≤y ]nfisØ s]cp°n
Ccp]tØgpsIm≠p lcn®m¬ hcp∂ injvSsØ AizXn apX¬°p≈ £{X
ambn FÆnbm¬ In´p∂ £{XØn¬.
iu bmtX ˛ in hcp∂ kabØp.
cmXrlmnx ˛ amXmhns‚ acWw kw`hn°mw.
{XntImW¿£KtX A]n hm ˛ AXs√¶n¬ AXns‚ {XntImW£{X
Øn¬ in hcptºmgpw CXp kw`hn°mw.
N{μmXv kpJmXv ˛ N{μm¬ mens‚.
AjvStai ˛ F´mw `mhm[n]≥
Awi ˛ AwiIn® cminbpsS mYs‚.
{XntImtW ˛ {XntImWØn¬.
Znhkm[nt] ˛ kqcy≥ hcp∂.
X∑mtk ˛ amkØn¬
amXp¿hntbmKw n¿±ntiXv ˛ amXmhns‚ acWw ]dbWw.

9. A≤ymbw 24 (AjvSIh¿§w ˛ XpS¿®) 523
e·Xx ]nXpx ˛ C{]Imcw e·sØs°m≠p ]nXmhns‚
acWtØbpw Nn¥n°Ww.
(9)
`uamØrXobcminÿ^sse¿{`mXrKpWw `thXv
_p[m¬ kpJ^sse¿∫‘pKpWw hm amXpeky N.
3. ktlmZcKpWw (IpPmjvSh¿§^ew)
`uamXv XrXob cminÿ ^ssex ˛ sNmΔbn¬n∂pw aq∂mw cminbnep≈
AjvSh¿§_nμp°ƒsIm≠p.
{`mXrKpWw `thXv ˛ ktlmZcKpWw D≠mIpw.
4. _‘pKpWw (_p[mjvSh¿§^ew)
_p[m¬ kpJ^ssex ˛ _p[s‚ men¬ D≈ AjvSh¿§_nμp°ƒ
sIm≠v.
_‘p KpWw ˛ _‘pKpWhpw / kplrXv KpWhpw
amXpeky N. ˛ amXpeKpWhpw ]dbWw.
(10)
KpcpÿnXkpXÿmt bmhXmw hnZytX ^ew
i{XpoN{Klw(1)
Xy‡zm tijmx XkymflPx kvarXmx.
(1) ]mTt`Zw: Krlw
5. ]p{XKpWw (hymgmjvSh¿§^ew)
KpcpÿnXkpXÿmt ˛ hymgØns‚ A©n¬.
bmhXmw hnZytX ^ew ˛ D≈ _nμp°fn¬n∂pw.
i{XpoN{Klw Xy‡zm ˛ i{Xp{Klw, oNØnep≈ {Klw F∂nh
bpsS _nμp°sf Ipd®m¬.
tijmx Xky BflPmx ˛ _m°n hcp∂ _nμp°ƒ kqNn∏n°p∂
Xmbncn°pw a°fpsS kwJy.
(11)
KptcmcjvSIh¿t§jp tim[y injvS^emn ssh
{Iqccmin^ew Xy‡zm tijmx XkymflPmx kvarXmx.
a°fpsS kwJy
Kptcmx AjvSIh¿t§ ˛ Kpcphns‚ AjvSh¿§sØ.
tim[y injvS^emn ˛ tim[n®m¬ _m°n In´p∂ _nμp°fn¬
n∂pw.
{Iqccmin^ew Xy‡zm ˛ ]m]{KlßfpsS (Ip,a) _nμp°ƒ Ipd®m¬.
tijmx Xky BflPmx kvarXmx ˛ _m°n hcp∂Xmbncn°pw a°fpsS kwJy.
542

10. ^eZo]nI 524
(12)
^em[nIw `rtKm¿b{X X{X `mcym Pn¿bZn
Xky hwim`nhr≤nx kymZ¬t] £oWm¿∞k¥Xnx.
6. If{XKpWw (ip{ImjvSh¿§^ew)
^em[nIw `rtKmx b{X ˛ ip{ImjvSh¿§Øn¬A[nIw _nμp°fp≈
cminbmWv.
X{X `mcym Pnx bZn ˛ `mcybpsS P∑cminsb¶n¬.
Xky hwim`n hr≤nx kymXv ˛ hwiw A`nhr≤ns∏Spw.
A¬t∏ ˛ adn®,v AXv _nμp°ƒ Ipd™XmsW¶n¬.
£oWm¿∞k¥Xnx ˛ [hpw k¥Xnbpw Ipd™ncn°pw.
(13)
tim[y]nfiw it¿e·m≤Xzm c{‘^ssex kpssJx
lrXzmhtij`w bmtX atμ Poth f ]n hm arXnx.
7. PmXIs‚ arXn (aμmjvSh¿§^ew)
itx ˛ inbpsS.
e·m≤Xzm ˛ e·m¬ F´nse
c{‘^ssex ˛ AjvSh¿§_nμp°ƒsIm≠ v
tim[y]nfiw lrXzm ˛ tim[y]nfisØ s]cp°n
Ccp]tØgpsIm≠p lcn®m¬
Ahtij`w ˛ In´p∂ injvSw
AizXnapX¬ FÆnbm¬ In´p∂ £{X
Øn¬
bmtX atμ Poth f ]n hm ˛ in As√¶n¬ Kpcp hcptºmƒ.
arXnx ˛ acWw D≠mImw.
(14)
e·mZnaμm¥^sseIykwJym˛
h¿tj hn]ØnkvXp XYm¿°]p{Xm¬
bmhZzne·m¥^emn Xkvan˛
∂mtim ln XtZymKkamh¿tj.
e·mZnaμm¥ ˛ e·w apX¬ in n¬°p∂ cminhsc D≈
^sseIykwJym ... A¿°]p{Xm¬ ˛ inbpsS AjvSh¿§_nμp°ƒ
Iq´nbm¬ In´p∂
XtZymKkamh¿tj. ˛ FÆØnp Xpeyamb h¿jØn¬
hn]Ønx ˛ B]Øp≠mImw.

11. A≤ymbw 24 (AjvSIh¿§w ˛ XpS¿®) 525
bmhXv hne·m¥ ^emn ˛ AXpt]mse in n¬°p∂ cmin apX¬
e·w hscbp≈ cminIfn¬ BsI F{X
_nμp°ƒ Dt≠m.
XtZymKkamh¿tj ˛ AXnp Xpeyamb h¿jØnepw
Xkvan≥ mtim ˛ miap≠mImw.
(15)
AjvSaÿ^sse¿√·mXv ]nfiw lXzm kpssJ¿`tPXv
^eambp¿hnPmobmXv {]mKztZzfm¥p Iev]tbXv.
8. Bbp v
AjvSaÿ^ssex e·mXv ˛ e·m¬v F´nep≈ AjvSh¿§wsIm≠v.
]nfiw lXzm ˛ tim≤y]nfisØ s]cp°n.
kpssJx `tPXv ˛ Ccp]Øntbgp ( k˛7, J˛2) sIm≠p
lcn®m¬
.^ew Bbpx hnPmo bmXv ˛ In´p∂ ^ew (_nμp°ƒ) Bbp¿ssZ¿Ly
amsW∂dnbpI.
{]mKztZzfm¥p Iev]tbXv. ˛ acWkabw tcsØ ]d™Xpt]mse
.
e·m¬ F´nep≈ AjvSh¿§sØ AXmXp {KlØns‚ tim[y]nfiwtIm≠p
s]cp°n Ccp]ØntbgpsIm≠p lcn°ptºmƒ _m°n hcp∂hsb Iq´nbm¬ In´p∂Xp
]cambp mWv. acWkabw t«mIw ]Xnaq∂n¬ ]d™Xpt]mse.
.3. {XntImWtim[
(16, 17)
{XntImtWjp Xp bZyqw XØpeyw {Xnjp tim[tbXv
GIkvan≥ `ht iqty X{ØntImWw tim[tbXv.
`hZzbiqty Xp tim[tbZyaμncw (1)
katXz k¿htKtljp k¿hw kwtim[tbØZm.
(1) `hZzbiqty tim[tbZyaμncw 4
1. {XntImtWjp Xp bZyqw XØpeyw {Xnjp tim[tbXv ˛˛
Hcp {XntImWØnse aq∂p cminIfnvepw Htc hn[Øne√ _nμp°ƒ ImWp
∂sX¶n¬, GXnemtWm _nμp°ƒ G‰hpw Ipdhv, B kwJy aq∂n¬n∂pw
Ipd®v _m°n n¿ØWw
2. GIkvan≥ `ht iqty XXv {XntImWw tim[tbXv ˛˛
Hcp {XntImWØnse Hcp cminbn¬ _nμp°ƒ Cs√¶n¬ B {XntImWw
tim[nt°≠Xn√.

12. ^eZo]nI 526
{XntImWcminIƒ:
taSw Nnßw [p
CShw I∂n aIcw
anYpw Xpemw Ipw`w
I¿°Sw hr›nIw aow
3 `hZzbiqty Xp tim[tbZyaμncw ˛˛
Hcp {XntImWØnse c≠p cminIfn¬ _nμp°ƒ Cs√¶n¬ aq∂maØXpw
iqyam°pI.
]mTt`Zw: (1) `hZzbiqty tim[tbZyaμncw 4 ˛˛ Cu ]mThpw
AXns‚hymJymhpw a‰p hymJymßfpamtbm tUm.cmas‚ Cu hnjbØnep≈
]pkvXIhpamtbm tbmPn°p.∂n√.
4. katXz k¿htKtljp k¿hw kwtim[tbØZm ˛˛
Hcp {XntImWØnse aq∂p cminIfnsebpw _nμp°ƒ Hcpt]mse
bmsW¶n¬ aq∂pw iqyam°Ww.
4. GIm[n]Xytim[
c≠p cminIfpsS B[n]Xyap≈ {KlßfpsS ( Ip, _p, Kp, ip, a) _nμp°ƒ
ho≠pw sNdpXm°n FSp°p∂XmWv Cu {Inb. Hcp cminbpsS am{Xw B[n]Xyap≈
{KlßfpsS (c, N) _nμp°ƒ°p am‰an√.
(18 ˛ 22)
{XntImWtim[mw IrXzm ]›mtZIm[n]XyIw
t£{XZztb ^emn kypkvXZm kwtim[tb’p[nx (∂c)x
{Klbpt‡ ^te lot {Klm`mth ^em[ntI
Dut kZri¥zkvan≥ tim[tbZv{Klh¿÷ntX
^em[ntI {Kssl¿bpt‡ Nmykvan≥ k¿hap’rtPXv
k{Klm{KlXpeytXz k¿hw kwtim[ya{KlmXv.
D`m`ymw {Kllom`ymw katXz kIew XytPXv
D`tbm¿{Klkwbpt‡ kwtim≤yw IZmN.
GIkvan≥ `ht iqty kwtim≤yw IZmN
Zzmh{Klu tNZy∂qw XØpeyw timZtb±ztbx.
{XntImWtim[mw IrXzm ]›mXv GIm[n]XyIw
˛ {XntImWtim[bv°ptijw GIm[n]Xytim[ sNøWw.

13. A≤ymbw 24 (AjvSIh¿§w ˛ XpS¿®) 527
1. t£{XZztb ^emn kyp XZm kwtim[tbXv ˛˛
Hcp {KlØns‚ c≠p cminIfnepw _nμp°ƒ Ds≠¶nte GIm[n]Xytim
[ th≠Xp≈q. (c≠p cminIfpsS B[n]Xyap≈ {KlßfpsS AjvSIh¿§
Ønt Cu tim[ D≈q.)
2 {Klbpt‡ ^te lot -{Klm`mth ^em[ntI tim[tbXv {Klh¿÷ntX˛˛
(Hcp {KlØns‚ c≠p cminIfn¬ H∂n¬ {KlÿnXn D≠mhpIbpw
a‰Xn¬ C√mXncn°pIbpw sNbvXm¬) {Klap≈ cminbn¬ _nμp°ƒ
Ipdhmbpw {Klan√mØ cminbn¬ IqSpXembpw Ccp∂m¬ {Klan√mØ
cminbnse IqSpX¬ _nμp°sf.
Dut kZriw Xp ˛˛
{Klap≈ cminbnse _nμp°ƒ°p Xpeyam°Ww.
3. ^em[ntI {Kssl¿bpt‡ Aykvan≥ k¿hap’rtPXv ˛˛
tsc adn®v, {Klw n¬°p∂ cminbn¬ _nμp°ƒ IqSpXembpw {Klan√m
Ø cminbn¬Ipdhmbpw Ccp∂m¬ B Ipd™ _nμp°sf ]q¿Æambpw
IfbWw.
4. k{Kl A{Kl XpeytXz k¿hw kwtim[yw A{KlmXv ˛
AX√, {KltØmSpIqSnb cminbnepw AXn√mØ cminbnepw _nμp°ƒ kaam
sW∂p h∂m¬ {Klan√mØ cminbnse _nμp°sf ]msS Dt]£n°Ww.
5 D`m`ymw {Kllom`ymw katXz, kIew XytPXv ˛˛
Cn AXpa√, c≠p cminIfnepw {Kl߃ C√mXncn°pIbpw c≠nepw
_nμp°ƒ Xpeyambncn°pIbpw sNbvXm¬. c≠p cminIfnsebpw _nμp°sf
XyPn°Ww.
6 D`tbmx {Klkwbpt‡ kwtim≤yw IZmN ˛˛
c≠nepw {Kl߃ Ds≠¶n¬. Cu tim[ th≠Xn√.
7. GIkvan≥ `ht iqty kwtim≤yw IZmN ˛˛
c≠p cminIfn¬ Hcpcminbn¬ _nμp°ƒ C√mXncp∂mepw tim[
Bhiyan√.
8 Zzu A{Klu tNXv qw , XØpeyw tim[tbXv Zztbx ˛˛
c≠p cminIfnepw {Kl߃ C√mXncn°pIbpw c≠nsebpw _nμp°ƒ
kaa√msXbpw Ccp∂m¬,. Ipd™Xntebv°v _nμp°ƒ {Ias∏SpØWw.

14. ^eZo]nI 528
GIm[n]Xytim[ Npcp°Øn¬
1. c≠nepw {Klap≈Xv ˛˛ am‰an√.
2. H∂n¬am{Xw {Klap≈Xv ˛˛
{Klap≈Xv {Klan√mØXv
1. _nμp°ƒ Ipdhv _nμp°ƒ IqSpX¬ ˛˛ c≠pw Ipd™Xnp
Xpeyam°Ww
2. _nμp°ƒ IqSpX¬ _nμp°ƒ Ipdhv ˛˛ Ipdhp≈Xv IfbWw
3. c≠pw kaw ... ˛˛ {Klan√mØXp IfbWw
3. c≠nepw {Klan√mØXv˛
1. c≠nepw _nμp°ƒ XpeyamsW¶¬ ˛˛ c≠pw IfbWw
2. H∂n¬ _nμp°ƒ IqSnbpw
a‰Xn¬ Ipd™pw Ccp∂m¬ ˛˛ Ipd™Xv FSp°Ww.
4. H∂n¬am{Xw _nμp°ƒ D≈Xv ˛˛ am‰an√
DZmlcWPmXIØn¬ k]vX{KlßfpsS AjvSh¿§w,
tim[Iƒ°p apºpw ]n≥]pw
1. kqcymjvSh¿§w {XntImWtim[ GIm[n]Xytim[
bv°ptijw bv°ptijw
2. N{μmjvSh¿§w
4 1 5 3 0 0 3 0 0 0 3 0
6 5 3 1 1 1
3 6 1 5 1 5
5 5 4 2 4 1 1 0 4 1 0 0
3. IpPmjvSh¿§w
6 2 3 2 4 1 0 0 1 1 0 0
4 5 2 3 1 3
4 1 1 0 1 0
2 2 4 4 1 0 2 1 1 0 2 1
(48) (15) (8)
5 4 3 4
6 4
6 2
5 2 4 3
3 2 0 0
2 2
3 0
3 0 0 0
0 2 0 0
2 2
2 0
0 0 0 0
(49) (19) (16)
(39) (15) (11)

15. A≤ymbw 24 (AjvSIh¿§w ˛ XpS¿®) 529
4. _p[mjvSh¿§w
6 6 3 5 4 3 0 0 2 3 0 0
5 5 0 3 0 3
6 3 3 0 3 0
5 2 5 3 2 0 0 0 2 0 0 0
5. Kpcp AjvSh¿§w
5 2 6 5 2 0 1 1 1 0 1 1
5 3 1 0 0 0
6 6 1 4 0 4
3 6 4 5 1 3 0 0 1 3 0 0
6. ip{ImjvSh¿§w
7 6 4 5 5 2 0 2 1 2 0 2
3 4 0 2 0 2
5 4 1 0 1 0
5 2 3 4 1 0 0 0 1 0 0 0
7. in AjvSIh¿§w
6 2 2 4 4 0 0 1 2 0 0 1
4 2 1 0 1 0
4 4 2 2 1 2
4 2 3 2 2 0 0 0 2 0 0 0
8. k¿hmjvSIh¿§w
39 23 26 28 22 8 4 4 7 8 4 4
33 28 9 11 5 11
34 26 12 11 9 11
29 21 27 23 14 4 3 1 11 4 2 1
(54) (15) (13)
(56) (14) (11)
(52) (13) (9)
(39) (12) (9)
(337) (103) (77)

16. ^eZo]nI 530
6. tim[y]nfiw
(23)
tim≤ymhinjvSw kwÿm]y cminamt h¿≤tbXv
{Klbpt‡ f ]n X{Zmiu {Klamt h¿≤tbXv.
(24)
tKmknwlu Zi`n¿KpWnXu hkp`n¿anYpmfnt`
hWnMvtaju N apn`nx IyIm aItc isscx.
(25)
tijmx kzmaKpWnXmx I¿°oNm]LSoQjmx
GtX cminKpWmx t{]m‡mx ]rYIv {KlKpWmx ]rYIv.
tim[y]nfiw ImWp∂ coXn
tim[ymhinjvSw kwÿm]y ˛ {XntImWtim[bpw GIm[n]Xytim[
bpw sNbvXp _m°n hcp∂ AjvSh¿§
_nμp°sf. B cminbpsS
cminamt h¿≤tbXv ˛ cminamw (cminKpWImcw) sIm≠p
s]cp°Ww.
{Kl bpt‡ A]n XXv cmiu ˛ cminbn¬ {Klßfps≠¶n¬ Ahsb
{Klamt h¿≤tbXv ˛ {Klamw ({KlKpWImcw) sIm≠pw
s]cp°Ww.
7. cminKpWImc߃
tKmknwlu ZiKpWnXu ˛ CShhpw Nnßhpw ]ØpsIm≠pw
hkp`nx anYpmfnt` ˛ anYphpw hr›nIhpw F´psIm≠pw
hWnMv taju N apn`nx ˛ Xpemhpw taShpw GgpsIm≠pw
IyIm aItc isscx. ˛ I∂nbpw aIchpw A©psIm≠pw
KpWn°Ww.
_m°nbp≈,
I¿°o Nm] LSo Qjmx ˛ I¿°SIw, [p v, Ipw`w, aow Chsb,
kzmaKpWnXmx ˛ AhbpsS t]cp (cminN{IØnse kYmw)
sIm≠pw KpWn°Ww
(I¿°Sw ˛ 4, [p ˛ 9, Ipw`w ˛ 11, aow ˛ 12)
GtX cminKpWmx t{]m‡mx ˛ ChbmWv cminKpWImc߃
]rYKv {KlKpWmx ]rYIv ˛ {KlKpWImc߃ thsdbmWv.

17. A≤ymbw 24 (AjvSIh¿§w ˛ XpS¿®) 531
cminKpWImc߃
taSw CShw. anYpw I¿°SIw Nnßw I∂n Xpemw hr›nIw [p aIcw Ipw`w aow
7. 10. 8 4 10. 5. 7. 8. 9 5 11 12
(26)
Pohmcip{Ikuaymmw
Zihkpk]vtX{μnssbx {IamZv KpWnXm
_p[kwJym tijmWmw
cminKpWmXv {KlKpssWx ]rY°mcymx.
8. {KlKpWImc߃
Poh Bc ip{I kuaymmw ˛ Kpcp, IpP≥, ip{I≥, _p[≥ Chsb
Zihkpk]vtX{μnssbx {IamXv ˛ 10, 8, 7, 5 F∂ {IaØnepw
_p[kwJym tijmWmw ˛ tijn®hbv°p (kqcy≥, N{μ≥, in)
_p[s‚ kwJybpw (5)
{KlKpWImcIßfmIp∂p.
cminKpWm¬ {KlKpWx ]rY°mcyx. ˛ (tim[Iƒ Ign™ AjvSh¿§sØ)
cminKpWImckwJysIm≠pw
{KlKpWImc kwJysIm≠pw shtΔsd
s]cp°Ww.
{KlKpWImcw.
kqcy≥ N{μ≥ IpP≥ _p[≥ Kpcp ip{I≥ in
5 5 8 5 10 7 5
Cu nba߃sh®psIm≠v DZmlcWPmXIØnse kqcys‚ tim[y]nfiw
ImWmw.
.. cminKpWImcw. (_nμp°fp≈ cminIƒ°pam{Xta CXp _m[IamIp.)
cminKpWImcw x kqcymjvSh¿§w
taSw 7 x 2 = 14
CShw 10 ˛ ˛
anYpw 8 ˛ ˛
I¿°SIw 4 2 8
Nnßw 10 ˛ ˛
I∂n 5 ˛ ˛
Xpemw 7 ˛ ˛
hr›nIw 8 ˛ ˛
[p 9 ˛ ˛
aIcw 5 2 10
Ipw`w 11 2 22
aow 12 ˛ ˛
BsI 54

18. ^eZo]nI 532
2. {KlKpWImcw. (_nμp°fp≈ cminIfn¬ n¬°p∂ {Kl߃°p am{Xta
Cu h¿≤hp≈q. Hcp cminbn¬ H∂ne[nIw {Klßfps≠¶n¬ F√m‰npw
KpWImcw H∂pXs∂).
{KlKpWImcw x kqcymjvSh¿§w
kqcy≥ 5 ˛ ˛ ˛
N{μ≥ 5 ˛ ˛ ˛
IpP≥ 8 x 2 16
_p[≥ 5 ˛ ˛ ˛
hymgw 10 ˛ ˛ ˛
ip{I≥ 7 x 2 14
in 5 ˛ ˛ ˛
BsI 30
3. tim[y]nfiw 54 + 30 = 84.
CXmWv kqcys‚ tim[y]nfiw. CXpt]mse a‰p {KlßfpsS tim[y]nfihpw
ImWWw.
9. ImeN{I ZimKW
(27)
Ghw KpWnXzm kwtbmPy k]vX`n¿KpWtbXv ]px
k]vXhnwilrXm√_v[h¿jmWy{X `h¥n ln.
(28)
ZzmZimZv KpWtb√_v[m amkml¿LSnImx kvarXm ({IamXv)
k]vXhnwiXn h¿jmWn aWvUew tim[tbZv ]px. (1)
(1) ]mTt`Zw ˛ _p[x
1. Ghw KpWnXzm kwtbmPy
˛ C{]Imcw KpWn®p In´p∂ c≠p kwJyIfpw Iq´n
(CXp Xs∂bmWv XpS°Øn¬ ]d™ tim[y]nfiw)
2. k]vX`n¿KpWtbXv ]px k]vXhnwilrXmx
˛ GgpsIm≠p KpWn®v. Ccp]ØntbgpsIm≠p lcn®m¬.
e_v[ h¿jmWn A{X `h¥n ln
˛ In´p∂Xp h¿jw.

19. A≤ymbw 24 (AjvSIh¿§w ˛ XpS¿®) 533
3. ZzmZimZn KpWtbXv e_v[m amk Al LSnImx ({IamXv)
˛ _m°nbp≈Xns ]{¥≠p sIm≠p s]cp°n Ccp]tØgp sIm≠p
lcn®m¬ In´p∂Xp amkw. AXns‚ _m°nsb 30 sIm≠p s]cp°n
Ccp]tØgpsIm≠p lcn®m¬ In´p∂Xp Znhkw. Cßs mgnIbpw
ImWmw.
(Aßns In´p∂ h¿jsØ AXv Ccp]tØgn¬ IqSpXemsW¶n¬)
4. k]vX hnwiXn h¿jmWn aWvUew tim[tbXv
˛ Ccp]tØgp h¿jwsIm≠v B afiesØ tim[n°Ww.
GgpsIm≠p s]cp°n Ccp]ØntbgpsIm≠p lcn°¬.
Cu A≤ymbØn¬ ]ebnSØpw Cu KWnXw hcp∂p≠v. Hcp {KlØns‚
AjvSh¿§w hmkvXhØn¬ BsIbp≈Xns‚ (Ggp {Klw = 360 Un{Kn ) Ggn¬ Hcp
`mKta BIp∂p≈q. Ccp]tØgv £{XkwJybmW.v Ccp]tØgp £{X߃
tNcptºmƒ Hcp afieamIpw. (13˛20 x 27 = 360). tim[y]nfisØ GgpsIm≠p
s]cp°ptºmƒ In´p∂ DØcw km[mcW 360 Un{Knbn¬ IqSpXembncn°pw.
AXpsIm≠mWv AXns Ccp]Øntbgp sIm≠p lcn°p∂Xv. AXpt]mse lcW^ea√
injvSw hcp∂ kwJybmWv ap°mhiyw. ChnsS Hcp Imcyw {]tXyIw Adnbmp≠v.
Cu {InbsNbvXp ap°p In´p∂ h¿jw Nm{μh¿jamWv. AXns
kuch¿jam°Wsa¶n¬ 324 (27 x 12) sIm≠p s]cp°n 365 sIm≠p lcn°Ww. CXv
{InbbpsS Ahkmw sNbvXm¬ aXn. ImcWw Cu h¿j߃°v GXmpw
IrXyam°epIƒIqSn _m°nbp≠v.
ChnsS a‰p aq∂p ]Xn∏pIfnepw ImWmØ Hcp t«mIw sImSpß√q¿ ]Xn∏n¬
ImWp∂p≠v.
XZq¿t≤z `qan`nx tim≤yw XytPZv `qanw XZq¿≤ztI
IpPm[ntI `thZy{X PImt—m[tbØYm.
A¿∞w: AjvSh¿§mbp v C{]Imcw IW°m°nbm¬ Ccp]tØgnIØmsW¶n¬
A{Xbpw Xs∂ kzoIcn°Ww. Ccp]tØgn¬ A[nIamsW¶n¬ AºØnmen¬ n∂p
Ipdbv°Ww. AºØnmene[nIambm¬ AºØnmep Ipdbv°Ww.
F¨]sØm∂ne[nIambm¬ qs‰´n¬n∂p Ipdbv°Ww. hnjbw apIfn¬ ]d™Xp
Xs∂ .
10 lcW߃
(29)
Atym f ya¿≤lcWw {Klbpt‡ Xp ImctbXv
otN f ¿≤akvX(tK)tI f ]y¿≤lcWw tXjp ImctbXv.

20. ^eZo]nI 534
1. Atymyw A¿≤lcWw {Klbpt‡ Xp ImctbXv ˛
˛ Hcp cminbn¬ H∂ne[nIw {Klßfps≠¶n¬ Hmtcm∂nt‚bpw ]IpXn
hoXw Ipdbv°Ww.
2. otN A¿≤akvX(tK)tI A]n A¿≤lcWw tXjp ImctbXv
˛ oNhpw auVyhpap≈ {Kl߃°pw ]IpXn hoXw IfbWw.
(30)
i{Xpt£t{X {Xn`mtK Zriym¿≤lcWw XYm
{XywtimlcWw `wtK kqtcytμzmx ]mXkw{ibmXv.
3 i{Xpt£t{X {Xn`mtK ˛ i{Xpt£{XØn¬ aq∂n¬ H∂v.
4. Zriym¿≤lcWw XYm ˛ Zriym¿≤lcWhpw thWw.
(A≤ymbw 22. t«mIw 19 ImWpI)
5. {XywtimlcWw cW`wtK ˛ bp≤Øn¬ tXm‰ {Klw ˛ 1/ 3 `mKw
Ipdbv°Ww.
6. kqtcytμzmx ]mXkw{ibmXv ˛ kqcyN{μ∑m¿ ]mXØnemsW¶n¬
1/ 3 Ipdbv°Ww. (]mXw ˛ {KlWw.)
DZmlcWPmXIØn¬ CXp c≠pan√.
1. DZmlcWPmXIØn¬ cNIp_pip ChbpsS ]IpXn Ipdbpw.
2. oNw ˛ C√. auVyw ˛ _p. 1/2
3. i{Xpt£{XÿnXn ˛ kqcy≥ ˛ 1/3
4. Zriyw ˛ C√.
5. {Klbp≤w ˛ C√.
6. {KlWw ˛ C√.
(31)
_lptXz lctW {]m]vtX ImctbXv _ehØcw
]›mXv XXv kIem≥ IrXzm hcmwtKW hnh¿≤tbXv.
(32)
amXMvKe_v[w ip≤mbp¿`hXoXn kwibx
]p¿hh±namkm_vZm≥ IrXzm Xky Zim `thXv.
7. _lptXz lctW {]m]vtX ImctbXv _ehØcw
˛ Hcp {KlØnp ]e lcW߃ hcp∂ps≠¶n¬ G‰hpw A[nIap≈Xam{Xw
Ipdbv°pI. (H∂ne[nIw kwJy Ipdbv°mps≠¶n¬ G‰hpw
IqSpXep≈Xpam{Xw Ipdbv°m≥ n¿Øn _m°nsb√mw IfbWw.)
DZm. kqcyv 1/2, 1/3 F∂nßs c≠p lcWßfp≈Xn¬ 1/2 am{Xw Ipd®m¬ aXn
.

21. A≤ymbw 24 (AjvSIh¿§w ˛ XpS¿®) 535
8. ]›mXv XXv kIem≥ IrXzm ˛ ]ns∂ Ahsb F√mw Iq´n
hcmwtKW hnh¿≤tbXv ˛ h c K 4 2 3 ˛ 324 sIm≠p KpWn®v
amXMvKe_v[w ˛ amXwK ˛ a X K 563 ˛ 365 sIm≠p lcn®m¬
ip≤mbpx `hXn ˛ IrXyamb Bbp v In´pw
CXn kwibx ˛ kwibw th≠ .
(Nm{μh¿jsØ kuch¿jam°mp≈ {InbbmWnXv) .
(33)
Ghw {KlmWmw k¿thjmw Zimw Ipcym¬ ]rYIv ]rYIv
AjvSh¿KZimam¿Kx k¿thjmapØtamØax
Ghw {KlmWmw k¿thjmw ˛ Cßs F√m {KlßfpsSbpw
Zimw Ipcym¬ ]rYIv ]rYIv ˛ Zi (Bbp v) thsd thsd ImWWw.
{Inbm{Iaw:
1. AjvSIh¿§w ImWpI
2. {XntImW˛GIm[n]Xytim[Iƒ sNøpI
3. _m°n hcp∂Xns cmin˛{KlKpWImc߃sIm≠p s]cp°n,
F√mw Iq´n tim≤y]nfiw ImWpI.
(DZmlcWPmXIØnse kqcys‚ tim≤y]nfiw 84 (t]Pv 549 ImWpI)
4. CXns GgpsIm.≠p s]mcp°n Ccp]tØgp sIm.≠p lcn°pI.
84 x 7 / 27 = 21.78
5. CXv kqcys‚am{Xw AjvSh¿§mbp mWv. AXpsIm≠#v CXp t]mse a‰v
Bdp {KlßfpsS IqSn Bbp¿ h¿jw I≠p Iq´pI
6. Cu Bbp ns apIfn¬ ]d™ mep lcW߃ SØn ip≤am°pI.
Cßns In´p∂ h¿jßfmWv AjvSh¿§ ]cambp v.
tim[y afiew
{Klw ]nfiw {Inb DØcw tim[ _m°n lcWw _m°n
kqcy≥ 84 x7/27 21.78 ˛ 21.78 1/2, 1/3 10.89
N{μ≥ 206 53.41 27 26.41 1/2 13,20
IpP≥ 90 23.33 ˛ 23.33 1/2 11.66
_p[≥ 135 35. 27 8. ˛ 1/2, 1/2. 4. ˛
hymgw 163 42.25 27 15.25 15.25
ip{I≥ 104 26.96 ˛ 26.96 1/2 13.48
in 111 28.78 27 1. 78 1.78
BsI 893 231.51 108 123.51 70.26

22. ^eZo]nI 536
70.26 Nm{μh¿jamWv. CXns kuch¿jam°Ww.
70.26 x 324/365 = 62.36 h¿jw.
.38 h¿jsØ amkam°ptºmƒ .36 x 12 / 100 = 4.32 amkw.
. 56 amksØ Znhkam°ptºmƒ 56 x 30 = 9.6 Znhkw.
AjvSIh¿§w Bbp¿±mbw 62 h¿jw 4 amkw 17 Znhkw
(CXvv F√m {KlßfpsSbpw Zi tN¿∂XmWv.)
AjvSh¿KZimam¿Kx k¿thjmapØtamØax
˛ Cu AjvSh¿KZimcoXn a‰v F√m Bbp¿±mbKWnX kºZmbtØ°mfpw
DØaamWv.
v.11. kapZmbmjvSh¿§w
(34)
_mtem _enjvtTm ehWmKtam kptcm
cmKo apcmcnx inJco{μKmYbm
`utam KtWt{μm eLp `mhXmw kptcm.
tKmI¿Æc‡m Xp ]pcmWssaYneo.
(35)
cp{Z ]cw Klzcss`chÿeo
cmKo _eo `mkzcKo¿`KmNemx
Kncu hnhkzm≥ _ehZznh£bm
iqeo aa {]oXnItcm f {X Xo¿∞IrXv.
_mtem _enjvtTm ehWmKtam kptcm
3 3 3 3 2 3 4 5 3 5 7 2 (c˛43)
cmKo apcmcn inJco{μKmYbm
2 3 5 2 2 5 2 2 2 3 7 1 (N˛36)
`utam KtWt{μm eLp`mhXmw kptcm.
4 5 3 5 2 3 4 4 4 6 7 2 (Ip˛49)
tKmI¿Æc‡m Xp ]pcmWssaYneo.
3 1 5 2 6 6 1 2 5 5 7 3 (_p˛46)
cp{Z ]cw Klzcss`chÿeo
2 2 1 2 3 4 2 4 2 4 7 3 ( Kp˛36)
cmKo _eo `mkzcKo¿`KmNemx
2 3 3 3 4 4 2 3 4 3 6 3 (ip˛40)
Kncu hnhkzm≥ _ehZznh£bm
3 24 4 4 3 3 4 4 4 6 1 (a˛42)
iqeo aa {]oXnItcm{X Xo¿∞IrXv.
5 3 5 5 2 6 1 2 2 6 7 1 (e˛ 45)
555

23. A≤ymbw 24 (AjvSIh¿§w ˛ XpS¿®) 537
DZmlcWPmXIØnse kapZmbmjvSh¿§w
ta C an I Nn I Xp hr [ a Ipw ao BsI
kqcy≥ 2 3 3 3 3 2 3 4 5 3 5 7 43
N{μ≥ 1 2 3 5 2 2 5 2 2 2 3 7 36
IpP≥ 4 5 3 5 2 3 4 4 4 6 7 2 49
_p[≥ 3 3 1 5 2 6 6 1 2 5 5 7 46
Kpcp 2 4 7 3 2 2 1 2 3 4 2 4 36
ip{I≥ 2 3 3 3 4 4 2 3 4 3 6 3 40
in 6 1 3 2 4 4 4 3 3 4 4 4 42
e·w 3 5 5 2 6 1 2 2 6 7 1 5 45
BsI 23 26 28 28 25 24 27 21 29 34 33 39 337
Ign™ A≤ymbØn¬ sImSpØ k¿hmjvSh¿§hpw ChnsS ]dbp∂ kapZmbm
jvSh¿§hpw XΩnep≈ hyXymkw BZytØX v{Kl]chpw CXp cmin]chpamsW∂XmWv.
BZytØXn¬ k]vX{KlßfpsS _nμp°ƒ 48, 49, 39, 54, 56, 52, 39 F∂ {IaØnemsW¶n¬
CXn¬ 43, 36, 49, 46, 36, 40, 42, 45 F∂ {IaØnemWv hcp∂Xv. DZmlcWw˛˛
c N Ip _p Kp ip a e BsI
k¿h 48 49 39 54 56 52 39 ˛˛ 337
kapZmb 43 36 49 46 36 40 42 45 337
a‰p hn[Øn¬ ]d™m¬, BZytØXv {Kl߃°p Xßfn¬n∂pw a‰p
{Klßfn¬ n∂pw Hmtcm cminbnepw In´p∂ _nμp°fmWv. c≠matØXv {Kl߃
X߃°pw a‰p {Kl߃°pw sImSp°p∂ , Hmtcm cminbnepw hogp∂, _nμp°fmWv.
e·mjvSh¿§w hgnbp≈ Cu hyXymksamgn®m¬ thsd _m°nsb√mw HØp t]mIpw.
DZmlcWPmXIØnse kapZmbmjvSh¿§w
556
aow taSw CShw anYpw
39 23 26 28
Ipw`w I¿°SIw
33 BsI 28
aIcw 337 Nnßw
34 25
[p hr›nIwXpemw I∂n
29 21 27 24

24. ^eZo]nI 538
36)
k¿hI¿a^temt]Xw AjvSh¿KIapNytX
AyYm _ehn⁄mw Zp¿t⁄bw KpWtZmjPw.
k¿hI¿a^temt]Xw AjvSh¿KIapNytX˛ F√m I¿Ω^eßfpw kq£vaambn
ImWn°p∂XmWv AjvSIh¿§k{ºZmbw
AyYm ˛ as‰mcp hn[Ønepw
KpWtZmjPw ˛ KqWtZmj^eßsf ImWn°p∂.
_ehn⁄mw ˛ {Kl_ehpw cmin_ehpw
Zp¿t⁄bw ˛ CXpt]mse Adnbm≥ Ignbn√ ..
12. kapZmbmjvSh¿§^ew
(37)
{Xnwim[nI^em tb kyq cmibkvtX ip`{]Zmx
]©hnwimXv]cw a≤yw IjvSw XkvamZ[x ^ew.
{Xnwim[nI^em ˛ ap∏Xn¬ A[nIw _nμp°fp≈.
cmibx ip`{]Zmx ˛ cminIƒ ip`^e{]ZamWv.
]©hnwimXv]cw a≤yw ˛ Ccp]Ønb©v ˛ ap∏Xp _nμp°ƒ
a≤yaw.
IjvSw XkvamXv A[x ^ew ˛ Ccp]Ønb©n¬ Ipd™m¬ IjvS^ew.
(38)
a[ymXv^em[nIw emt` em`mXv £oWXtc hytb
bky hybm[ntI et· t`mKhm¿Yhm≥ `thXv.
a[ymXv ^em[nIw emt` ˛ ]Xnsm∂mw`mhØn¬ ]Ømw`mhØnt°mƒ
IqSpX¬ _nμp°ƒ D≠mhpI.
em`mXv £oWXtc hytb ˛ ]{¥≠mw`mhØnn¬ ]Xnsm∂mw `mhØn
t°mƒ _nμp°ƒ Ipdhmbncn°pI.
bky hybm[ntI et· ˛ e·Øn¬ ]{¥≠mw`mhØnnt°mƒ A[nIw
_nμp°ƒ D≠mhpI.
Cßs h∂m¬.
t`mKhm≥ A¿Yhm≥ `thXv ˛ kpJ߃ Ap`hn°p∂hpw [nIpw
BIpw.

25. A≤ymbw 24 (AjvSIh¿§w ˛ XpS¿®) 539
(39)
aq¿XymZn hyb`mhm¥w ZrjvSzm `mh^emn ssh
A[ntI tim`w hnZym≤ot tZmjw hnn¿ZtiXv.
aq¿XymZn hyb`mh¥w ZrjvSzm ˛ e·wapX¬ ]{¥≠mw `mhwhsc.
hnebncpØnbn´v.
A[ntI tim`w hnZymXv ˛ _nμp°ƒ IqSpXep≈ `mh߃
tim`ambncn°psa∂pw.
lot tZmjw ˛ _nμp°ƒ Ipdhp≈ `mh߃
tZmjIcambncn°psa∂pw.
`mh^emn ˛ `mh^ew.
hnn¿ZtiXv ˛ n¿t±in °Ww.
(40)
jjvTmjvSahybmwkvXy‡zm titjtjzh {]Iev]tbXv
t{ijvTcminjp k¿hmWn ip`ImcymWn ImctbXv.
k¿hmWn ip`ImcymWn ˛ F√m ip`Imcyßfpw.
jjvTmjvSahybmw Xy‡zm ˛ 6˛8˛12 `mh߃ Ign®v.
titjjp ˛ _m°nbp≈hbn¬,
t{ijvT cminjp ˛ _nμp°ƒ IqSpXep≈ cminIfn¬.
ImctbXv ˛ sNøWw.
(41)
e·mXv{]`qXn (1)
aμm¥taIoIrXy ^emn ssh
k]vX`n¿KpWtbX v]›mXv k]vXhnwilrXmX v^ew.
(1) ]mTt`Zw ˛ {]`rXn
(42)
X’amKtX h¿tj ZpxJw hm tcmKam]vpbmXv
Ghw aμmZn e·m¥w `uamcmtlzmkvXYm ^ew.
e·mXv{]`qXn aμm¥w ˛ e·wapX¬ inhscbp≈
GIoIrXy ^emn ssh ˛ _nμp°sf Iq´n.
k]vX`nx KpWtbXvv ˛ GgpsIm≠p s]cp°n.
k]vXhnwi lrXmXv ^ew ˛ Ccp]ØntbgpsIm≠p lcn°ptºmƒ
In´p∂ kwJybpsS.
kamKtX h¿tj ˛ Xpeyamb h¿jØn¬.
ZpxJw hm tcmKw B]vpbmXv ˛ ZpJw As√¶n¬ tcmKw D≠mIpw.

26. ^eZo]nI 540
Ghw aμmZn e·m¥w ˛ Cßs in apX¬ e·whscbpw
sNøWw.
`uam cmtlzm XYm ^ew
˛ insbs°ms≠∂t]mse IpPss°m≠pw cmlphnss°ms≠pw
Cßns {Inb sNbvXp Nn¥n°Ww.
(43)
ip`{KlmWmw kwtbmKx kamm_vtZ ip`w `thXv
]p{XhnØkpJmZon e`tX m{X kwibx.
ip`{KlmWmw kwtbmKx kamm_vtZ ip`w `thXv
˛ Cßs ip`scs°m≠p {Inb sNbvXp In´p∂Xnp Xpeyamb h¿jØn¬
. ip`^eap≠mIpw.
]p{XhnØkpJmZon e`tX m{X kwibx.
˛ ]p{X≥, hnØw, kpJw F∂nh e`n°pw. kwibw th≠.
(44)
kw{KtlW abm t{]m‡ajvSh¿^ew Xznl
Xss⁄¿hnkvXcXx t{]m‡ay{X ]Sp_p≤n`nx.
kw{KtlW abm t{]m‡w AjvSh¿K^ew
˛ Cßs AjvSh¿§^ew F∂m¬ Npcp°Øn¬ ]dbs∏´p.
XXv ss⁄x hnkvXcXx t{]m‡w Ay{X ]Sp_p≤n`nx
˛ Cu hnjbw _p≤nimenIfm¬ AhcpsS {KŸßfn¬ hnkvXcn®p ]dbs∏´n´p≠v.