Phaladeepika - appendix 2

50 %
50 %
Information about Phaladeepika - appendix 2
Education

Published on July 20, 2014

Author: Mullappilly

Source: slideshare.net

Description

Table 2

Ap_‘w 2 (jUv_ehpw N{μ{Inb apXembhbpw) 613 Language : Malayalam PHALADEEPIKA (INDIAN ASTROLOGY) APPENDIX - 2 STRENGTH OF PLANETS (contd..) AUTHOR MANTRESWARA

^eZo]nI 614 Ap_‘w 2 jUv_ew : KWnXw hnjbhnhcw 1. ssk¿§nI_ew (Natural / Permanent Streangth) 2. ZnKv_ew (Directional Streangth) 3. ZrIv_ew (Aspect Streangth) 4. tNjvSm_ew (Motional Streangth) 5. ÿm_ew (Positional Streangth) (1) D®_ew (2)k]vXh¿§P_ew (3)HmPbp‹cmiywi_ew (4)tI{μ_ew (5)t{Z°mW_ew 6. Ime_ew (Temporal Streangth) (1) tXm∂X_ew (2)]£_ew . (3){Xn`mK_ew (4)A_vZ_ew (5)amk_ew (6)hmc_ew (7)tlmcm_ew (8)Ab_ew (9)bp≤_ew DZmlcWPmXIw: kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in {Klkv^pSw: `mK˛Iebn¬ 55T ˛31’ 50T ˛49’ 5T ˛42’ 48T 145T ˛26’ 10T ˛46’ 77T ˛51’ *ZimwiØn¬ 55.52T 50.82T 5.70T 48T 145.43T 10.77T 77.85T *jUv_eKWnXØnv ChnsS `mK˛Iebv°p ]Icw `mK, ZimwitØmsS, D]tbmKn°p∂p.

Ap_‘w 2 (jUv_ehpw N{μ{Inb apXembhbpw) 615 1. ssk¿§nI_ew {KlßfpsS kzm`mhnI_eamWv nk¿§_ew. G‰hpw IqSpX¬ ssk¿§nI_ew kqcymWv. ( 1 cq] AYhm 60 jjvSywiw). kqcy≥, N{μ≥, ip{I≥ Kpcp, _p[≥, IpP≥ in F∂ {IaØn¬ CXp Ipd™p hcp∂p. {Klw in IpP≥ _p[≥ hymgw ip{I≥ N{μ≥ kqcy≥ Ap]mXw 60$1/7 60$2/7 60$3/7 60$4/7 60$5/7 60$6/7 60$7/7 _ew 8.57 17.14 25.70 34.28 42.85 51.43 60 ssk¿§nI_ew ÿncamWv. AXv F√m PmXIØnepw CXp t]meØs∂ hcpw. DZmlcWPmXIØn¬ {KlßfpsS nk¿§_ew: {Klw kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in _ew 60 51.43 17.14 25.70 34.28 42.85 8.57 2. ZnKv_ew PmXIØn¬ tI{μ`mhßfn¬ ÿnXn hcptºmƒ {Kl߃°p In´p∂ _eamWv ZnKv_ew. Xn°p ]d™n´p≈ `mhØns‚ a≤y Øn¬ n¬°ptºmƒ Hcp {KlØnp 1 cq] AYhm 60 jjvSywiw ZnKv_eap≠v. ZnKv_eap≈ tcJmwiØns‚ 180T ˛bn¬ _ew iqy ambncn°pw. CXnnSbv°p≈ ÿnXnbpsS _ew ss{XcminIw sNbvXv (aq∂psIm≠p lcn®v) ImWWw. mep ]SnIfnembn thWw Cu _ew ImWm≥. 1. {Kl߃°p ]q¿Æ_ew In´p∂ ÿmw (`mha≤yw) ImWpI 2. AXn¬n∂pw 180T Ipd®v 0 _ew In´p∂ ÿmw ImWpI. 3. 0 _ew hcp∂ tcJmwiØn¬n∂pw {Klkv^pSw Ipd®v hyXymkw ImWpI. 4. Cu hyXymksØ aq∂psIm≠p lcn°pI. DZmlcWPmXIØnse `mha≤yw tI{μ`mh߃ 1 7 10 4 AhnsS _eap≈ {Kl߃ _pKp a cIp Nip DZm. `mha≤yw 343.30 163.30 252.01 72.01 1. Hmtcm {KlØnpw _ew In´p∂ ÿm߃ {Klw kqcy≥ N{μ≥ IpP≥ _p[≥hymgw ip{I≥in `mhw 10 4 10 1 1 4 7 `mha≤yw 252T -˛01 72T ˛01 ’ 252T ˛01 ’ 343T ˛30’ 343T ˛30’ 72T ˛01 ’ 163T ˛30 ’ (+) ˛ 360 * ˛ ˛ ˛ 360* 360* BsI 252˛01 432.01 252˛01 343T ˛30’ 343T ˛30’ 432.01 523.30 *180T ˛¬ Ipdhp≈nSØv 360 Iq´Ww

^eZo]nI 616 2. ]qPyw _ew In´p∂ ÿm߃ {Klw kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in BsI 252˛01 432.01 252˛01 343T ˛30 343T ˛30 432.01 523.30 (˛˛) 180T - 180T - 180T - 180T - 180T - 180T - 180T - iqyw_ew72T ˛01 252T ˛01 72T ˛01 163T ˛30 163T ˛30 252T ˛01 343T ˛30 3. `mhkv^pShpw {Klkv^pShpw XΩnep≈ hyXymkw. {Klw kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in `mhkv^pSw72T 01 ’ 252T 01’ 72T 01’ 163T 30’ 163T 30’ 252T 01’ 343T 30 ’ (˛˛){Klkv^pSw 55T 31 50T 49’ 5T 42’ 48T 145T 26’ 10T 46’ 77T 51 hyXymkw 16T 30 ’ 201T 12* 66T 19’ 115T 30’ 18T 5’ 241T 15* 265T 79* 360* 360* 360* ˛˛201T ˛12* ˛˛241T 15 ˛˛265T 79* 16T .30 158T .48 66T .19 115T .30 18T .5 118T 45 94T 21 (*180T Un{Knbn¬ A[nIap≈ hyXymkw 360T ˛¬n∂pw Ipdbv°pWw.) 4. ZnIv _ew (hyXymkØns‚ aq∂nsem∂v ) {Klw kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in hyXymkw 16T .30 158T .48 66T .19 115T .30 18T .5 118T 45 94T 21 aq∂nsem∂v 5T ˛30’ 52T ˛56’ 22T ˛7’ 38T ˛30’ 6T ˛1’ 39T ˛35’ 31T ˛27’ ZimwiØn¬ 5T .50 52T .93 22T .11 38T .50 6T 02 39.T 58 31.T 45 DZmlcWPmXIØnse {KlßfpsS ZnKv_ew (ZimwiØn¬) : {Klw kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in ZnIv _ew 5.50 52.93 22.11 38.50 6˛02 39.58 31.45 3. ZrIv_ew (1) ]q¿ÆZrjvSn : ]q¿ÆZrjvSn_ew ImWp∂ coXn 1. tm°p∂ {KlØns‚ tcJmwiw tm°s∏Sp∂ {KlØns‚ tcJmwiØn¬n∂pw Ipd®v ZrjvSntI{μw ImWpI. 2. Cu ZrjvSntI{μw sh®v Xmsg sImSpØn´p≈ ]´nIbn¬n∂pwZrjvSnaqeyw ImWpI. CXmWv B {KlØns‚ ZrjvSn_ew 1. ZrjvSnaqeyw ImWp∂Xnp≈ tS_nƒ: tm°p∂ {KlØn¬n∂pw˛ (1) 0T ˛ 30T = ZrjvSn C√. (2) 30T -˛ 60T = (ZrjvSn tI{μw ˛˛ 30)/2 (3) 60T ˛ 90T = (ZrjvSn tI {μw˛˛ 60) + 15 (4) 90T ˛ 120T = (120 ˛ ZrjvSn tI{μw)/2 + 30 (5) 120T ˛ 150T = 150 ˛˛ ZrjvSn tI{μw (6) 150T ˛ 180T = (ZrjvSn tI{μw ˛˛ 150) (7) 180T ˛ 300T = (300 ˛ ZrjvSn tI{μw)/2 (8) 300T ˛ 360T = ZrjvSn C√.

Ap_‘w 2 (jUv_ehpw N{μ{Inb apXembhbpw) 617 2. ZrjvSn hym]vXn {Kl߃°p 2 apX¬ 10 hsc `mhßfntebv°v (30T - -˛ pw 300T ˛ pw CSbv°p≈ ÿetØbv°v) ZrjvSnbp≠v. 11, 12, 1 `mhßfntebv°v (300T -˛pw 30T ˛pw CSbv°p≈ ÿetØbv°v) ZrjvSnbn√. 3. DZmlcWPmXIØnse ZrjvSntI{μßfpw ZrjvSnaqeyhpw ( * {Klkv^pSw ZrjvSntI{μtØ°mƒ Ipdhp≈nSØv 360 Iq´Ww..) (1) kqcyZrjvSn kqcyv N{μv IpPv _p[v hymgv ip{Iv inbv°v {Klkv^pSw ˛ 50.82T 5.70T 48T 145.43T 10.77T 77.85T + ˛ 360* 360* 360* ˛ 360* ˛ BsI = ˛ 410.82 365.70 408. - ˛ 370.77 ˛ (˛˛) kqcykv ˛ 55.52 55.52 55.52 55.52 55.52 55.52 (=) ZrjvSntI{μw ˛ 355.30 310.18 352.48 89.91 315.25 22.33 ZrjvSnaqeyw ˛ $ $ $ (3) $ $ CXn¬ hymgØnp am{Xta kqcyZrjvSnbp≈q. Cu ZrjvSnbpsS aqeyw apIfnse ]´nIbn¬n∂pw ImWWw. hymgØnp In´p∂ kqcy ZrjvSnbpsS (89.91) aqeyw : 60T ˛ 90T = (ZrjvSn tI{μw˛˛ 60) + 15 ZrjvSn tI{μw = 89.91 60 Ipdbv°Ww ˛˛ 60 _m°n = 29.91 AXntmSp 15 Iq´Ww + 15 = 44.91T hymgØnp In´p∂ kqcyZrjvSnbpsS _ew= 44.91T. kqcy≥ ]m]mbXnm¬ = (˛˛) 44.91T. (2) N{μZrjvSn kqcyv N{μv IpPv _p[v hymgv ip{Iv in°v {Klkv^pSw 55.52T .... 5.70 48T 145.43 10.77T 77.85T ˛ ˛ 360 360 ˛ 360 ˛ ˛ ˛ 365.70 408 ˛ 370.77 ˛ N{μkv^pSw 50.82T .... 50.82T 50.82T 50.82T 50.82T 50.82T ZrjvSntI{μw 4.70 .... 314.88 357.18 94.61 319.95 27.03 ZrjvSnaqeyw $ .... $ $ (4) $ $ N{μZrjvSn hymgØnpam{Xw. ZrjvSnaqeyw ]´nIbnse (4) {]Imcw ImWWw. 90T ˛ 120T = (120 ˛ ZrjvSn tI{μw) /2 + 30 120 ˛˛ 94.61 = 25.39 25.39/2 = 12.70

^eZo]nI 618 N{μZrjvSn (hymgØnv) 12.70+ 30 = 42.70 N{μ≥ Cu PmXIØn¬ ]m]mbXnm¬ (˛˛) 42.70 ((3) IpPZrjvSn kqcyv N{μv IpPv _p[v hymgv ip{Iv in°v {Klkv^pSw 55.52T 50.82T ˛ 48T 145.43T 10.77T 77.85T IpPkv^pSw 5.70 5.70 ˛ 5.70 5.70 5.70 5.70 ZrjvSntI{μw 49.82 45.12 .... 42.30 139.73 5.07 72.15 ZrjvSnaqeyw (2) (2) .... (2) (5) $ (3) IpPZrjvSn (˛˛)9.91 7.56 ˛˛ 6.15 10.27 ˛˛ 27.15 (4) _p[ZrjvSn kqcyv N{μv IpPv _p[v hymgv ip{Iv inbv°v {Klkv^pSw 55.52T 50.82T 365.70T .... 145.43T 370.77T 77.85T _p[kv^pSw 48T 48T 48T . ... 48T 48T 48T ZrjvSntI{μw7.52 2.82 317.70 .... 97.43 322.77 29.85 ZrjvSnaqeyw $ $ $ .... (4) $ $ Kpcphnv _p[ZrjvSn _p[≥ Cu PmXIØn¬ ]m]mbXnm¬ ]m]ZrjvSn (˛˛) 41.58 (5) KpcpZrjvSn kqcyv N{μv IpPv _p[v hymgv ip{Iv inbv°v {Klkv^pSw 415.52T 410.82T 365.70T 408T .... 370.77T 77.85T Kpcpkv^pSw 145.43T 145.43T 145.43T 145.43T .... 145.43T 145.43T ZrjvSntI{μw 270.09 265.39 220.27 262.57 ... 225.34 292.42 ZrjvSnaqeyw (7) (7) (7) (7) .... (7) (7) ip`ZrjvSn 14.96 17.31 39.87 18.72 .... 37.33 3.79 (6) ip{IZrjvSn kqcyv N{μv IpPv _p[v hymgv ip{Iv inbv°v {Klkv^pSw 5.52T 50.82T 365.70T 48T 145.43T .... 77.85T ip{Ikv^pSw 10.77 10.77 10.77 10.77 10.77 .... 10.77 ZrjvSntI{μw 44.75 40.05 354.93 37.23 134.68 ... 67.08 ZrjvSnaqeyw (2) (2) $ (2) (5) ... (3) ip`ZrjvSn .38 5.03 .... 3.62 15.32 ... 22.08 (7) inZrjvSn kqcyv N{μv IpPv _p[v hymgv ip{Iv inbv°v {Klkv^pSw 415.52T 410.82T 365.70T 408T 145.43T 370.77 .... inkv^pSw 77.85T 77.85T 77.85T 77.85T 77.85T 77.85T .... ZrjvSntI{μw 337.67 332.97 287.85 330.15 67.58 292.92 .... ZrjvSnaqeyw $ $ (7) $ (3) (7) ... inZrjvSn(˛˛)... ... 6.07 ... 22.58 3.54

Ap_‘w 2 (jUv_ehpw N{μ{Inb apXembhbpw) 619 (2) hntiZrjvSn {Klw hntijZrjvSn ZrIv_ew jjvSywiw IpP≥ 4˛8, 1/4 15 Kpcp 5˛9, 1/2 30 in 3˛10 3/4 45 1) IpPs‚ hntijZrjvSn 4 8 90 ˛ 120 210 ˛ 240 IpPkv^pSw + 5.70 5.70 5.70 5.70 --95.70 125.70 215.70 ˛ 245.70 {Klw kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in {Klkv^pSw: 55.52T 50.82T 5.70T 8.00T 145.43T 10.77T 77.85T IpPZrjvSn ˛˛ ˛˛ ˛˛ ˛˛ ˛˛ ˛˛ ˛˛ Hcp {KlØns‚ kv^pShpw IpPs‚ ta¬∏d™ ho£W tImWØn¬ hcp∂n√ AXnm¬ DZmlcWPmXIØn¬ Hcp {KlØnpw IpPs‚ hntijZrjvSn C√. 2) KpcphntijZrjvSn 5 9 120 ˛ 150 240 ˛ 270 Kpcpkv^pSw + 145.43 145.43 145.43 145.43 265.43 295.43 385.43˛ 415.43 (25.43˛55.43) kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in {Klkv^pSw: 55.52T 50.82T 5.70T 48.00T 145.43T 10.77T 77.85T hntijZrjvSn ˛ 30 ˛˛ 30 ˛˛ ˛˛ ˛˛ 3) in hntijZrjvSn 3 10 60 ˛ 90 270˛300 aμkv^pSw + 77.85 77.85 137.85˛167.85 347.85˛377.85 (17.85) kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in Klkv^pSw 55.52T 50.82T 5.70T 48.00T .43T 10.77T 77.85T nZrjvSn ˛ ˛ 45 ˛ 45 45 ˛˛ 3. ZrIv_ew kΩdn 1. ip`ZrjvSn kqcyv N{μv IpPv _p[v hymgv ip{Iv inbv°v hymgw 14.96 17.31 39.87 18.71 .... 37.34 3.79 hntijZr ˛30 ˛ 30 ˛ ˛ ˛ -˛ ip{I≥ 7.38 5.02 ˛ 3.62 15.33 ˛ 22.09 ZrjvSn_ew 22.34 52.34 39.87 52.34 15.33 37.34 25.88 137

^eZo]nI 620 2. ]m]ZrjvSn kqcyv N{μv IpPv _p[v hymgv ip{Iv in°v kqcy≥ ... .... .... .... 44.91 .... .... N{μ≥ .... .... .... .... 42.70 .... .... IpP≥ 9.91 7.56 .... 6.16 10.27 .... 27.15 _p[≥ .... .... .... .... 41.29 .... .... in .... .... 6.07 .... 22.59 3.54 ˛ hntijZr .... .... 45 .... 45 45 ˛ ZrjvSn_ew ˛9.91 ˛7.56 ˛51.07 ˛6.16 ˛206.76 ˛ 48.54 ˛ 27.15 DZmlcWPmXIØnse ZrIv_ew kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in ip`_ew (+) 22.34 52.34 39.87 52.34 15.33 37.34 25.88 ]m]_ew (˛) 9.91 7.56 51.07 6.16 206.75 48.54 27.15 ZrjvSn]nfiw 12.43 44.78 - ˛˛11.20 46.18 ˛191.42 ˛11.20 1.27 Zr. _ew(1/4) 3.11 11.19 ˛˛ 2.80 11.55 ˛ 47.86 ˛2.80 ˛0.32 4. tNjvSm_ew IpP≥, _p[≥, hymgw, ip{I≥, in F∂o A©p Xmcm{Kl߃°p h{IKXnbn¬ In´p∂ _eamWv tNjvSm_ew. tNjvSm_ew ImWp∂Xnv bYm¿∞kv^pSw, icmicnkv^pSw, iot{Lm®w, tNjvSmtI{μw Ch BhiyamWv. 1. bYm¿∞kv^pSw. DZmlcWPmXIØnse {Klkv^pSw {Klkv^pSw: kqcy≥ ˛ IpP≥ _p[≥ hymgw ip{I≥ in `mK˛Iebn¬ 55T ˛31’ ˛ 5T ˛42 ’ 48T 145T ˛26 ’ 10T ˛46 ’ 77T ˛51’ ZimwiØn¬ 55.52T ˛ 5.70T 48T 145.43T 10.77T 77.85T 2. icmicnkv^pSw Hcp {KlØns‚ {]Z£nWhgn ]mfn®bn√mØXpw IrXyamb hrØmIrXnbnep≈ XpamsW∂ k¶¬∏Ønep≈XmWv icmicn kv^pSw. CXp ImWp∂Xnp≈ Ffp∏Ønv ]´nIIƒ e`yamWv. F∂m¬ ChbpsS ASnÿmw D÷bnn tcJmwiØn¬ (76T E), 1˛1˛1900 A¿≤cm{Xn kabamWv. AXpsIm≠v Cu ]´nIIfn¬n∂pw PØnbXnbnse icmicnkv^pSw ImWp∂Xnv BZyambn 1˛1˛1900 apX¬ PØnbXnhsc Ign™pt]mb Znhk߃ KWn s®Sp°Ww. 2 (1) 1˛1˛1900 apX¬ Pkabwhsc sN∂ Znhk߃ ImWp∂ hn[w: DZmlcWPmXIØnse Pw 10˛6˛1945, 1˛36 F.Fw. BbXnm¬ 1˛1˛1900 A¿≤cm{XnapX¬ 10˛6˛1945, 1˛36 F.Fw. hsc Ign™ kabamWv ImtW≠Xv. (1) 1- ˛ 1 ˛ 1900 apX¬ 10 ˛ 6 ˛ 1945 hsc 138

Ap_‘w 2 (jUv_ehpw N{μ{Inb apXembhbpw) 621 BsI sN∂ h¿j߃ (1945 ˛˛ 1900) ˛ 45 (2) 45 h¿jsØ Znhkw (45$ 365) = 16425 Znhk߃ (3.) A[nh¿jßfnse A[nIZnhk߃ = 12 Znhk߃ (4) 1˛1˛1945 apX--¬ 9˛6˛1945 hsc = 160 Znhk߃ (5) BsI ˛ 16597 Znhk߃ (6) A¿≤cm{XnapX¬ Pw hscbp≈ kabw: 1945 Pq¨ 9˛mw XnbXn A¿≤cm{XnapX¬ Pwhsc sN∂Xv: 1 aWn°q¿ 36 ann‰v. F∂m¬ ]´nIbnse icmicnkv^pSw D÷bnn kabØnmIbm¬, C¥y≥ Ãm≥tU¿Uv kabhpw D÷bnn kabhpw XΩnep≈hyXymkw Apkcn®v Cu kabsØ am‰Ww. tcJmwiØnse Un{Knsb kabam°m≥: 1T = 4 ann‰v C¥y≥ kv‰m≥Um¿Uv kabØns‚ tcJmwiw 82T ˛30’ D÷bnnkab.Øns‚ tcJmwiw 76T hyXykw 6˛30’ 6T ˛30’ s kabam°ptºmƒ 6˛30$ 4 26 ann‰v Pkabamb 1 aWn°q¿ 36 ann‰n¬n∂pw 26ann‰v Ipdbv°p tºmƒ 1 aWn 10 ann‰v AYhm 70 ann‰vv In´pw. CXns 24 aWn°q¿ (1440 ann‰v) sIm≠p lcn®v Bhiyamb Znhk`mKw ImWWw. 2 (2) icmicnkv^pSw ImWp∂Xnp≈ ]´nIIƒ h{Itam AXpaqeap≈ tNjvSm_etam Cs√¶nepw kqcys‚ icmicnkv^pSw ImWWw. ImcWw AXmWv _p[ip{I∑-mcpsS icmicnkv^pShpw IpP≥ hymgw, in ChcpsS iot{Lm®hpw. icmicnkv^pSw : kqcy≥ 1˛1˛1900˛se (0 aWn°q¿, 76o E) icmicnkqcykv^pSw: 257.4568T bqWn‰v 100 1000 10000 1 0.9856 98.5602 265.6026 146.0265 2 1.9712 197.1205 71.2053 272.0531 3 2.9568 295.6808 76.8080 48.0796 4 3.9524 34.2411 342.4106 184.1062 5 4.9280 132.8013 248.0133 320.1327 6 5.9136 231.3616 153.6159 96.1593 7 6.8992 329.9218 59. 2186 232.1868 8 7.8848 68.4821 324.8212 8.2124 9 8.8704 167.0424 230.4239 144.2389 139

^eZo]nI 622 DZmlcWPmXIØn¬ kqcys‚ icmicnkv^pSw 1˛1˛1900 se icmicnkv^pSw ˛ 257.4568 CXns‚IqsS 1˛1˛1900 apX¬ 9˛6˛1945 hsc bp≈ 16597 ZnhksØ am‰w tN¿°Ww. 257.4568 10000 146.0265 6000 153.6159 500 132.8013 90 88.704 7 6.8992 1a 10an0.04791 BsI785.55. CXn¬ D≈ 360T Iƒ Ipdbv°ptºmƒ ˛˛ 720 = 65.55 DZmlcWPmXIØnse kqcy≥, _p[≥, ip{I≥ ChcpsS icmicn kv^pShpw CXpXs∂. Cn IpP≥, Kpcp, inChcpsS icm icn kv^pSw ImWWw. icmicnkv^pSw : IpP≥ -1˛1-˛1990 : icmicnkv^pSw: 270.22T bqWn‰v 100 1000 10000 1 0.524 52.40 164.02 200.19 2 1.048 104.80 328.04 40.39 3 1.572 157.21 132.06 240.58 4 2.096 209.61 296.08 80.78 5 2.620 262.01 100.10 280.97 6 3.144 314.41 264.12 121.16 7 3.668 6.81 68.14 321.36 8 4.192 59.22 232.55 161.55 9 4.716 111.62 36.17 1.74 icmicnkv^pSw : Kpcp icmicnkv^pSw (1˛1˛1900) : 220.04 bqWn‰v 10 100 1000 10000 1 .08 0.83 8.31 83.1 110.96 2 .17 1.66 16.62 166.19 221.96 3 .25 2.49 24.93 249.29 332.89 4 .33 3.32 33.24 332.39 83.85 5 .41 4.15 41.55 55.48 194.82 6 .50 4.99 49.86 138.58 305.78 7 .58 5.82 58.17 221.67 56.74 8 .66 6.65 66.58 304.77 167.71 9 .75 7.48 74.79 78.87 278.67 140

Ap_‘w 2 (jUv_ehpw N{μ{Inb apXembhbpw) 623 icmicnkv^pSw : in 1˛1˛1900 icmicnkv^pSwn 236.74 bqWn‰v 10 100 1000 10000 1 .03 .33 3.34 33.44 334.39 2 .07 .67 6.59 66.88 308.79 3 .10 1.00 10.03 100.32 283.18 4 .13 1.34 13.38 133.76 257.57 5 .17 1.67 16.72 167.20 231.97 6 .20 2.01 20.06 200.64 206.36 7 .23 2.34 23.41 234.08 180.75 8 .27 2.68 26.75 267.51 155.14 9 .30 3.01 30.10 300.95 129.54 DZmlcWPmXIØn¬ {KlßfpsS icmicnkv^pSw: {Klw kqcy≥ IpP≥ _p[≥ hymgw ip{I≥ in kv^pSw ZimwiØn¬ 55.52T 5.70T 48T 145.43T 10.77T 77.85T 1˛1˛1990˛¬ ˛ 270.22 ˛ 220.04 ˛ 236.74 1˛1˛1990p tijw (16597 ZnhkØn)v 10000 ˛ 200.19 ˛ 110.96 ˛ 334.39 6000 ˛ 264.12 ˛ 138.58 ˛ 200.64 500 ˛ 262.01 ˛ 41.55 ˛ 16.72 90 ˛ 47.16 ˛ 7.48 ˛ 3.01 7 ˛ 3.66 ˛ 0.58 ˛ 0.23 1a 10an ˛ 0.02 ˛ 0.00 ˛ 0.00 BsI ˛ 1047.39 ˛ 519.19 ˛ 791.73 Id£≥* ˛ ˛˛ ˛ (˛˛)3.63 -˛ (+)5.04 _m°n ˛ 1047.39 ˛ 515.56 ˛ 796.77 ˛-˛360/720 720 ˛ 360 ˛ 720 icmicn/ 65.55 327.39 65.55 155.56 65.55 76.77 Id£≥ * kqcy≥ IpP≥ ˛ hymgw ˛ in 1˛1˛1900 ˛ ˛ -˛ -˛˛ 3.33 ˛ +5 1˛1˛1900 apX¬ ˛ ˛ ˛ .0067 ˛ 001 Ph¿jwhsc ˛ ˛ ˛ $ ˛ $ (1945˛˛1900)= 45 ˛ ˛ ˛ 45 ˛ 45 ˛ ˛ ˛ 0.301 ˛ 0.045 -˛ ˛ ˛ -˛˛ ˛ ˛˛04 ˛ ˛ ˛ - (˛) 3.63 ˛ (+)5.04 141

^eZo]nI 624 3. iot{Lm®w kqcys‚ icmicnkv^pSamWv IpP≥, hymgw, in ChcpsS iot{Lm®w. _p[≥, ip{I≥ ChcpsS iot{Lm®w 5, 6 ]´nIIfn¬ n∂p ImWWw. iot{Lm®w ImWp∂Xnp≈ ]´nIIƒ 6 (1) iot{Lm®w : _p[≥ (1˛1˛1900se ÿnXn ˛ 164 o ) bqWn‰v 10 100 1000 10000 1 4.09 40.92 49.23 133.32 243.18 2 8.18 81.84 98.46 264.64 126.36 3 12.28 122.77 147.69 36.95 9.54 4 16.37 163.69 196.93 169.27 252.72 5 20.46 204.62 246.16 301.59 135.90 6 24.55 245.54 295.39 73.91 19.08 7 28.65 286.46 344.62 206.34 262.26 8 32.74 327.38 33.85 338.54 145.44 9 36.83 8.31 83.09 110.86 28.63 iot{Lm®w : ip{I≥ (1˛1˛1900se ÿnXn: 328.51o ) bqWn‰v 10 100 1000 10000 1 1.60 16.02 160.21 162.15 181.46 2 3.20 32.04 320.43 324.29 2.93 3 4.81 48.06 120.64 246.44 184.39 4 6.41 64.09 280.86 288.52 5.86 5 8.01 80.11 81.07 90.73 187.32 6 9.61 96.13 241.29 252.88 8.87 7 11.21 116.15 41.50 55.02 190.25 8 12.82 128.17 201.72 217.17 11.71 9 14.42 144.19 1.93 19.32 193.18 DZmlcWPmXIØnse iot{Lm®ßƒ IpP≥ _p[≥ Kpcp ip{I≥ in 1˛1˛1990˛¬ ˛ 164.0 ˛ 328.51 ˛ 1˛1˛1990p tijw (16597 ZnhkØnv ) 10000 ˛ 243.18 ˛ 181.46 ˛ 6000 ˛ 73.91 ˛ 252.88˛ 500 ˛ 246.16 ˛ 81.07 ˛ 90 ˛ 8.31 ˛ 144.19 ˛ 7 ˛ 28.65 ˛ 11.21 ˛ 1a 10an ˛ 0.19 ˛ 0.07 ˛ BsI ˛ 764.40 ˛ 999.32 ˛ 142

Ap_‘w 2 (jUv_ehpw N{μ{Inb apXembhbpw) 625 IpP≥ _p[≥ Kpcp ip{I≥ in BsI ˛ 764.40 ˛ 999.32 ˛ Id£≥ ˛ (+) 6.61 ˛ (˛)5.01 ˛ _m°n ˛ 771.01 ˛ 994.31 ˛ ˛-˛360/720 ˛ 720 ˛ 720 ˛ iot{Lm®ßƒ 65.55 51.01 65.55 274.31 65.55 Id£≥ * _p[≥ -˛ ip{I≥ 1˛1˛1900 ˛ - +6.67 ˛- ˛˛5 ˛ 1˛1˛1900 apX¬ .00133 ˛ 001 ˛ Ph¿jwhsc $ ˛ $ ˛ (1945 ˛˛ 1900) = 45 45 ˛ 45 ˛ + 0.059 .045 ˛ 0.06 ˛ 0.30 ˛ + 6.61 ˛ ˛˛ 5.01 ˛ 4. tNjvmtI{μw 1. bYm¿∞ {Klkv^pShpw icmicn {Klkv^pShpw XΩn¬Iq´n c≠p sIm≠p lcn°pI. (tNjvSmtI{μw IpdhmsW¶n¬ AXns‚IqsS 360 Iq´Ww.) 2. Cu lcW^esØ iot{Lm®Øn¬n∂pw Ipd®m¬ In´p∂ hyXymkamWv tNjvSmtI{μw DZmlcWPmXIØnse tNjvSmtI{μ߃ IpP≥ _p[≥ hymgw ip{I≥ in bYm¿∞kv^pSw 5.70T 48T 145.43T 10.77T 77.85T icmicnkv^pSw 327.39 65.55 155.56 65.55 76.77 333.09 113.55 300.99 76.32 154.62 ]IpXn 166.54 56.77 150.49 38.16 77.31 iot{Lm®w 65.55 51.01 65.55 274.31 65.55 + 360 360 360 ˛ 360 = 425.55 411.01 425.55 ˛ 425.55 kv^pSw]IpXn 166.54 56.77 150.49 38.16 77.31 tNjvSmtI{μw 259.01 354.24 275.06 236.15 348.24 5. tNjvSm_ew tNjvSmtI{μØns‚ aq∂nsem∂mWv tNtjSm_ew. (tNjvSmtI{μw 180T ˛¬ IqSpXemsW¶n¬ AXv 360T ˛¬n∂pw Ipdbv°Ww.) 143

^eZo]nI 626 DZmlcWPmXIØnse tNjvSm_ew IpP≥ _p[≥ hymgw ip{I≥ in 360 360 360 360 360 (˛)259.01 354.24 275.06 236.15 348.24 = 100.99 576 84.94 123.85 11.76 tNjvSm_ew(1/3)33.66 1.92 28.31 41.28 3.92 5. ÿm_ew 5 (1) D®_ew {KlßfpsS D®oNÿnXn°pkcn®p≈ _eamWnXv. Hcp {KlØns‚ AXnoN ÿmhpw AXp n¬°p∂ tcJmwihpw ({Klkv^pShpw) XΩnep≈ hyXymksØ aq∂psIm≠p lcn®m¬ D®_ew In´pw. DZmlcWPmXIØnse D®_ew {Klw kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in D®w 10T 33T 298T 165T 95T 357T 200T *(+) 180T 180T 180T 180T 180T 180T 180T oNw = 190T 213T 478T 345T 275T 537T 380T **(˛) ˛ ˛ 360 ˛ ˛ 360 360 190T 213T 118T 345T 275T 177T 20T {Klkv^pSw 55.52T 50.82T 5.70T 48T 145.43T 10.77T 77.85T hyXymkw 134.48 162.18 112.30 63* 129.57 166.23 57.85 ®_ew (1/3) 44.83T 54.06T 37.43T 21T 43.19T 55.41T 19.28T * D®tØmSp 180 Iq´nbm¬ oNw In´pw. ** 360˛¬ IqSpXemsW¶n¬ 360 Ipd®p IfbWw. 5 (2) k]vXh¿§P_ew Ign™ A≤ymbØn¬ hnhcn® Zih¿§Øn¬nn∂pw cmin, tlmc, t{Z°mWw, k]vXmwiw, hmwiw, ZzmZimwiw, {Xnwimwiw F∂o Ggp h¿§ßƒ tN¿∂XmWv k]vXh¿§w. Ct∏mƒ k]vX h¿§P_eØn¬ {Kl߃ XΩnep≈ ssk¿§nI _‘Ønp ]pdsa X¬°me _‘wIqSn ChnsS ]cnKWn°p∂p≠v. k]vXh¿§P_ew (jjvSywiØn¬): h¿§w aqe{Xn kzh¿§w A[nan{X an{X ka i{Xp A[ni{Xp _ew 45 30 22.5 15 7.5 3.75 1.875 DZmlcWPmXIØnse˛ 1. cminÿnXn_ew kqcy≥ N{μ≥ IpP≥ _p[≥ Kpcp ip{I≥ in cminÿnXn CShw CShw taSw CShw Nnßw taSw anYpw cminmY≥ ip ip Ip ip c Ip _p ssk¿§n i{Xp aqe{Xn aqe{Xn an{Xw an{Xw ka≥ ka≥ XXv°me 12 an .... .... 12 an{Xw 10 an{Xw 1 i{Xp 12 an{Xw _‘w ka≥ aqe{Xn aqe{Xn A[nan A[nan i{Xp an{Xw _ew 7.5 45 45 22.5 22.5 3.75 15 144

Ap_‘w 2 (jUv_ehpw N{μ{Inb apXembhbpw) 627 2. tlmcmÿnXn_ew kqcy≥ N{μ≥ IpP≥ _p[≥Kpcp ip{I≥ in tlmcmmY≥ kqcy≥ kqcy≥ kqcy≥ kqcy≥ N{μ≥ kqcy≥ N{μ≥ ssk¿§nI kz an{X an ka ka i{Xp ka XXvIme .... 1 i{Xp 2 an{X1 i{Xp 10 an{Xw 2 an{X 12 an{X kwbp‡ ... ka A[nan i{Xp an{X ka an{X _ew 30. 7.5 22.5 3.75 15. 7.5 15. 3. t{Z°mWÿnXn_ew kqcy≥ N{μ≥ IpP≥ _p[≥ Kpcp ip{I≥ in aIcw aIcw taSw I∂n taSw Nnßw Xpemw t{Z°mWmY≥ a a Ip _p Ip c ip ss._‘w i{Xp i{Xp kz aqe{Xn an i{Xp an{X XXv._‘w 2 an{X 2 an{X .... .... 9 i{Xp 2 an{X 11 an{X kw._‘w ka ka .... .... ka ka A[nan{X _ew 7.5 7.5 30 45. 7.5 7.5 22.5 4. k]vXmwiÿnXn_ew kqcy≥ N{μ≥ IpP≥ _p[≥ Kpcp ip{I≥ in taSw aow CShwaow aIcw anYpw Xpemw k]vXmwim. Ip Kp ip Kp a _p ip ss._‘w an{Xw an{Xw ka i{Xp ka an{X an{X XXv._‘w 12 an{Xw 4 an{Xw 1 i{Xp 4 an{Xw 3 an{Xw 2 an{Xw 11 an{Xw kw._‘w A[nan A[nan i{Xp ka an{Xw A[nan A[nan _ew 22.5 22.5 3.75 7.5 15 22.5 22.5 5. hmwiÿnXn_ew kqcy≥ N{μ≥ IpP≥ _p[≥ Kpcp ip{I≥ in Nnßw I¿°Sw CShw anYpw hr›nIwI¿°Sw aow hmwimY. c N ip _p Ip N Kp ss._‘w kz kz ka kz an{X ka ka XXv._‘w ˛ ˛ 1 i{Xp ˛ 9 i{Xp 12 an{Xw 11 an{Xw kw._‘w ˛ ˛ i{Xp an{X ka an{X an{X _ew 30 30 3.75 30. 7.5 15 15. 6. ZzmZimwiÿnXn_ew kqcy≥ N{μ≥ IpP≥ _p[≥ Kpcp ip{I≥ in aow aIcw anYpw [p anYpw Nnßw aIcw ZzmZimwim Kp a _p Kp _p c a ss._‘w an{Xw i{Xp ka i{Xp ka i{Xp kz XXv._‘w 4 an{Xw 2 an{Xw 2 an{Xw 4 an{Xw 10 an{Xw 2 an{Xw .... kw._‘w A[nan ka an{Xw ka an{Xw ka≥ _ew 22.5 7.5 15 7.5 15 7.5 30

^eZo]nI 628 7. {XnwimwiÿnXn_ew kqcy≥ N{μ≥ IpP≥ _p[≥ Kpcp ip{I≥ in Y≥ IpP in in Kpcp ip{I Kpcp Kpcp ss._‘w an{Xw i{Xp i{Xp i{Xp ka i{Xp ka XXv._‘w 12 an{Xw 2 an{Xw 3 an{Xw 4 an{Xw 9 i{Xp 5 i{Xp 3 an{Xw kw._‘w A[nan ka ka ka i{Xp A[ni an{Xw _ew 22.5 7.5 7.5 7.5 3.75 1.875 15 BsI 142.5 127.5 127.5 123.75 86.25 65.62 135 5 (3) HmPbp‹cmiywi_ew HmP˛bp‹cminIfnepw HmP˛bp‹hmwißfnepap≈ ÿnXn°pkcn®v {Kl߃°p In´p∂ _eamWnXv. HmPcmin HmPhmwiw c≠pw kqcy≥, IpP≥, 15 15 30 _p[≥, Kpcp, in bp‹cmin bp‹hmwiw c≠pw N{μ≥, ip{I≥ 15 15 30 DZmlcWPmXIØnse HmPbp‹ÿnXn: {Klw kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in kv^pSw 55.52T 50.82T 5.70T 48T 145.43T 10.77T 77.85 1. cmin CShw CShw taSw CShw Nnßw taSw anYpw 2. HmPw / bp‹w bp‹w bp‹w HmPw bp‹w HmPw HmPw HmPw 3. _ew .... 15 15 ,,,, 15 .... 15 1. hmwiw Nnßw I¿°Sw CShw anYpwhr›nIw I¿°Swaow 2. HmPw /bp‹w HmPw bp‹w bp‹w HmPw bp‹w bp‹w bp‹w 3. _ew 15 15 .... 15 .... 15 .... BsI_ew 15 30 15 15 15 15 15 (jjvSywiØn¬) 15 30 15 15 15 15 15 5 (4) tI{μ_ew tI{μ_ew tI{μw 1, 4, 7, 10 : 60 jjvSywiw ]W]cw 2, 5, 8, 11 : 30 jjvSywiw Bt]m¢naw 3, 6, 9, 12 : 15 jjvSywiw

Ap_‘w 2 (jUv_ehpw N{μ{Inb apXembhbpw) 629 DZmlcWPmXIØnse tI{μ_ew {Klw kqcy≥N{μ≥ IpP≥ _p[≥hymgw ip{I≥in {KlÿnXn (`mhw) III III II III VI II IV Bt]m¢n Bt]m¢n ]W]cw Bt]m¢n Bt]m¢n ]W]cw tI{μw _ew 15 15 30 15 15 30 60 5 (5) t{Z°mW_ew {Kl߃ ]pcpj≥ (kqcy≥, Kpcp, IpP≥), ]pwkIw (in, _p[≥), kv{Xo (N{μ≥, ip{I≥) F∂nßs a∂q XcØn¬ hcp∂p. Ah¿°v t{Z°mWØnse (aq∂p `mKßfn¬) Nne {]tXy I`mKßfn¬ n¬°ptºmƒ In´p∂ _eamWv t{Z°mW _ew. {Klw kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in ]pcpj... ]pcpj≥ kv{Xo ]pcpj ]pwk ]pcpj kv{Xo ]pwkI t{Z°mWw 1 2 1 2 1 3 2 _ew 15 15 15 15 15 15 15 DZmlcWPmXIØnse t{Z°mW_ew {Klw kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in kv^pSw 55.52T 50.82T 5.70T 48T 145.43T 10.77T 77.85T t{Z°mWw 3 3 1 2 3 2 2 _ew .... 15 15 15 .... .... 15 6. Ime_ew 6 (1) tXm∂X_ew (Znhcm{Xn_ew) tXm∂X_ew (Znhcm{Xn_ew) 60 jjvSywiw AYhm 1 cq]bmWv. cm{Xn˛{Kl߃°v A¿≤cm{Xn 12 aWn°pw ]I¬ ˛ {Kl߃°v D®bv°v 12 aWn°pamWv Cu _ew In´pI. A√mØ t∏mgsØ _ew {InbsNbvXp I≠p]nSn°Ww. DZmlcWPmXIØnse Pw cm{Xn 1.36˛mWv. A∂v DZbw 6.03˛pw AkvXaw 6.46˛pw. AXpsh®p Znamw ImWWw. aWn ann‰v sk°‚ v AkvXaw: 6˛46 ]n.Fw. = 18 46 DZbw = 6 03 Znamw 18˛46 ˛˛ 6.03 = 12 43 ]Iens‚ ]IpXn 6˛43/2 = 6˛21 1 / 2 = 6 --21 v30 DZbØntmSpIqsS CXp Iq´nbm¬-- ´p® In´pw. ´p® 6˛03 + 6˛21˛30 = 12 24 30. A¿≤cm{Xn 12-˛-24˛30 + 12˛00 = 24- 24 30 147

^eZo]nI 630 cm{Xn_e°mcmb N{μ≥, IpP≥, in F∂nh¿°v cm{Xn 0 aWn 24 ann‰v 30 sk°‚nv 60 jjvSywiw _ew In´pw. F∂m¬ Pw 1˛36 mWt√m. B hyXymkw Ipdbv°Ww. 1˛36 ˛˛ 0˛24˛30 = 1- 11 30 1 aWn°q¿ 11 ann‰v 30 sk°‚psIm≠v _ew F{X Ipd™p F∂p tm°m≥ {Inb sNømw. 1˛11˛30 $ 60 = 71˛30 $ 60 71 1/2 $ 60 = 5.96 jjvSywiw 12 aWn°q¿ 720 ann‰v 720 _m°n 60˛˛5.96 = 54.04 jjvSywiw AXmbXv ˛˛ 1) N{μ≥, IpP≥, in F∂nhcpsS cm{Xn_ew 54.04 jjvSywiw. 2) ]I¬˛_e°mcmb kqcy≥, IpP≥, Kpcp F∂nhcpsS ]I¬_ew 60 ˛˛ 54.04 = 5.96 jjvSywiw. 3) _p[v Ft∏mgpw Htc _eamIbm¬ _p[s‚ _ew 60 jjvSywiw. DZmlcWPmXIØnse {KlßfpsS tXm∂X_ew {Klw kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in _ew 5.96 54.04 54.04 60 5.96 5.96 54.04 6 (2.) ]£_ew N{μv kqcyn¬n∂pap≈ AI¬®bmWv hmhpIfpsSbpw ]£ ßfpsSbpw ASnÿmw. c≠p t]¿°pw Htc tcJmwiw ({Klkv^pSw) BIptºmƒ N{μs‚ k©mcw kqcys‚ IqsSbmIpIbpw H´pw Zriya√msX hcnIbpw sNøpw. AXmWv IdpØ hmhv (Aamhmkn). AhnSp∂tßm´v shfpØ]£amWv. N{μ≥ kqcyn¬n∂pw 12T AIeptºmƒ Hcp XnYnbmbn. 15 XnYnbmIptºƒ (180T ) shfpØhmhv (]u¿Æan). N{μkv^pSw ho≠pw kqcykv^pSØnseØptºmƒ ASpØ IdpØhmhv. Npcp°Øn¬ N{μpw kqcypw XΩnep≈ Zqcw tm°nbmWv ]£_ew IW°m°p∂Xv. IdpØhmhp Ign™v F´masØ ZnhkwapX¬ shfpØ hmhp Ign™v GgmasØ Znhkw hsc N{μv ]£_eap≠v. ]£_eamWv N{μs‚ {][m_ew. ]£_e an√mØ N{μ≥ ]m]mWv. 60 jjvSywiw AYhm 1 cq]bmWv ]£_ew. N{μpw kqcypw XΩnep≈ AIehpw {KlßfpsS ]£_ehpw (1) (2) 0T ˛- 180T 180-T ˛ 360T ]m]¿°p ]q¿Æ_ew ip`¿°p ]q¿Æ _ew ip`¿°p 0 _ew ]m]¿°p 0 _ew CXnnSbv°p hcp∂Xv IW°psNbvXp I≠p ]nSn°Ww ]£_ew ImWp∂hn[w: N{μkv^pSw ˛˛ kqcykv^pSw = ]m]cpsS ]£_ew. (N{μkv^pSw kqcykv^pStØ°mƒ IpdhmsW¶n¬ 180T Iq´Ww.) 148

Ap_‘w 2 (jUv_ehpw N{μ{Inb apXembhbpw) 631 DZmlcWPmXIØnse {Klkv^pSw (ZimwiØn¬): kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in 55.52T 50.82T 5.70T 48.00T 145.43T 10.77T 77.85T DZmlcWPmXIØnse N{μkv^pSw - : 50.82 CXp kqcykv^pStØ°ƒ IpdhmbXnm¬ 180T Iq´Ww. 50˛82 + 180 = 230-- .82 (˛) kqcykv^pSw (˛) 55.52 hyXymkw = 175. 30 175.30s 3 sIm≠p lcn®m¬ ]m]cpsS ]£_ew In´pw. 175.30/3 = 58.43 ip`cpsS ]£_ew 60 ˛˛ 58.43 = 1. 57 N{μv ]£_ew Cc´nbmWv. 58.43 $ 2 = 116.86 DZmlcWPmXIØnse {KlßfpsS ]£_ew kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in 58.43 116.86 58.43 58.43 1.57 1.57 58.43 6 (3.) {Xn`mK_ew ]Iensbpw cm{Xnbtbbpw apΩq∂p `mKßfm°n Hmtcm `mKØpw Hmtcm {KlØnpw Hmtcm _ew sImSpØn´p≈XmWv {Xn`mK_ew. Pw Ft∏mgmbmepw hymgØnv {Xn`mK_e ap≠v. 60 jjvSywiamWv {Xn`mK_ew. {Xn`mK_ew ImWp∂ coXn: ]I¬ cm{Xn `mKw 1 2 3 1 2 3 _eap≈ {Klw _p c a N ip Ip 1. DZmlcWPmXIØnse Pw cm{XnbmbXnm¬ BZyw cm{Xnamw ImWWw. PZnhksØ AkvXaw = 18˛46 ASpØ DZbw = 6˛03 cm{Xnamw (18.46 ˛˛ 6.03) = 11˛17 2. CXns 3 `mKam°Ww. 11˛17 / 3 = 3 aWn°q¿ 45 ann‰v hoXap≈ 3 `mK߃ 3. ASpØXmbn Pw GXp `mKØmWp hcp∂sX∂p tm°Ww. Pkabw 1˛36 F.Fw. = 25˛36 aWn AkvXaw = 18˛46 `mKw ˛1 18˛46 + 3˛45 = 21-.91 = 22˛31 `mKw˛2 22˛31 + 3˛45 25˛76 = 26˛16 4. Pw 25˛36 mIbm¬ AXp c≠masØ `mKØv AYhm ip{Is‚ `mKØp hcp∂p. 149

^eZo]nI 632 . DZmlcWPmXIØnse {Xn`mK_ew kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in ˛ ˛ ˛ ˛ 60 60 ˛ 6 (4) A_vZ_ew (15 jjvSywiw) Pw hcp∂ ssN{Xh¿jØns‚ BZyZnhkØns‚ mYmWv h¿jm[n]≥. PZnhksØ Al¿§WkwJy Apkcn®mWv CXp ImWp∂Xv. Al¿§Ww hfsc o≠ kwJybmbXnm¬ kuIcy Ønpth≠n HXp°nb kwJyIfmWv h¿jmcw`w ImWmp]tbmKn °p∂Xv. hnhn[ Npcp°kwJyIƒ CXnmbn nehnep≠v. ChnsS tUm. _n.hn.cma≥ At±lØns‚ {Kl_ehpw `mh_ehpw F∂ ]pkvXIØn¬ sImSpØn´p≈ Al¿§W]´nIbmWv D]tbmKn°p ∂Xv. Cu Al¿§W]´nI Bcw`n°p∂Xv 2˛5˛1827 _p[mgvN apX¬°mWv. 1. DZmlcWPmXIØnse Pw: 1945 Pq¨ 10, inbmgvN. 2. 1944 Unkw_¿ 31˛s‚ Al¿§Ww ˛ 42978 1˛1˛46 apX¬ 10˛6˛45 hsc ˛ 161 Znhk߃ 10˛6˛45 se Al¿§Ww ˛ 43139 3. Cu Znhkßsf 360˛sIm≠p lcn®v F{X h¿japs≠∂p ImWWw. 43139 / 360 = lcW^ew h¿jkwJy = 119 4. Cu h¿jkwJysb 3 sIm≠p s]cp°n 1 Iq´Ww. 119 $ 3 = 357. 357 + 1 = 358. 5. Cu kwJysb 7˛sIm≠p lcn®m¬ In´p∂ injvSw B h¿jw XpSßp∂ BgvNbpw B BgvNbpsS mY≥ h¿jm[n]p amWv. injvSw 1˛_p[≥, 2˛hymgw, 3˛sh≈n, 4˛in 5˛Rmb¿. 6˛Xn¶ƒ, 7˛sNmΔ F∂XmWv {Iaw. 6. 358/ 7 = lcW^ew 51, _m°n 1. 1˛_p[mgvN. _p[mgvNbpsS mY≥ _p[≥. PkabsØ h¿jm[n]≥ _p[≥. DZmlcWPmXIØnse A_vZm[n]_ew: kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in ˛ ˛ ˛ 15 ˛ ˛ ˛ 6 (5) amk_ew (30 jjvSywiw) amkm[n]s ImWp∂Xnv, PZnhksØ Al¿§WsØ 30˛sIm≠p lcn®m¬ In´p∂ lcW^esØ 2˛sIm≠p s]cp°n, 1 Iq´n, 7˛sIm≠p lcn°Ww. 150

Ap_‘w 2 (jUv_ehpw N{μ{Inb apXembhbpw) 633 1. 1945 Pq¨ 10˛se Al¿§Ww ˛ 43139 2. 30˛sIm≠p lcn°pI 43139 / 30 = 1437 3. lcW`esØ2˛sIm≠p s]cp°pI 1437 $ 2 = 2874 4. 1 Iq´pI 2874+1 = 2875 5. 2875˛s 7˛sIm≠p lcn°pI.2875/7 = 410. injvSw 5. 1˛_p[≥, 2˛hymgw, 3˛sh≈n, 4˛in 5˛Rmb¿. F∂ {IaØn¬ amkmcw`w RmbdmgvN. amkm[n]≥ kqcy≥. DZmlcWPmXIØnse amkm[n]_ew: kqcy≥ N{μ≥ IpP≥ _p[≥hymgw ip{I≥ in 30 ˛ ˛ ˛ ˛ ˛ ˛ 6 (6) hmcm[n]_ew (45 jjvSywiw) PZnhkw GXmgvNbmtWm, B BgvNbpsS mYmbncn°pw hmcm[n]≥. DZmlcWPw inbmgvN. hmcm[n]≥ in. DZmlcWPmXIØnse hmcm[n]_ew: kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in ˛ ˛ ˛ ˛ ˛ ˛ 45 6 (7) tlmcm[n]_ew (60 jjvSywiw) HcpZnhkw DZbwapX¬ ASpØ Znhkw DZbwhscbmWv Hcp `mcXobZnhkw. ZnhksØ Ccp]Ønmembn Xncn®XmWv Hcp tlmc. AXmbXv, Imetlmc Hcp aWn°qdmWv. AXv kucbqYØnse {Iaapkcn®pXs∂ a, Kp, Ip, c (`qan°p]Icw), ip. _p, N F∂ {IaØn¬ Bh¿Øn®phcp∂p. hmcm[n]s‚ tlmcXs∂bmWv BZyw. DZbw RbdmgvN 6˛15 msW߶n¬ 7˛15 hsc kqcytlmcm. XpS¿∂v, ip{I≥, _p[≥, N{μ≥ in, hygw, IpP≥ F∂ {IaØn¬ Bh¿Øn®phcpw. 25˛masØ N{tlmctbmsS Xn¶fmgvN Bcw`n°pw. Pw GXp ImetlmcbnemtWm AXns‚ mYmWv tlmcm[n]≥. tlmcIfpw tlmcm[n]∑-mcpw Bh¿Øn°p∂ hn[w: tlmc ˛ tlmcm[n]≥ 1 8 15 22 ˛ in 2 9 16 23 ˛ Kpcp 3 10 17 24 ˛ IpP≥ 4 11 18 ˛ ˛ chn 5 12 19 ˛ ˛ ip{I≥ 6 13 20 ˛ ˛ _p[≥ 7 14 21 ˛ ˛ N{μ≥ 151

^eZo]nI 634 DZmlcWPmXIØnse Pw inbmgvN. Pkabw 1˛36 F.Fw. A∂v DZbw 6˛03 aWn°v. 1) BZyambn C¥y≥ kabsØ {]mtZinIkabw B°Ww. Ãm≥tU¿Uv sadoUnb≥ 82T ˛ 30 ’ Xriq¿ 76T ˛15 ’ hyXymkw 6-- ˛15 $ 4 (˛˛)25 ann‰v Pw C¥y≥ kabw; 1˛36 F.Fw. Pw {]mtZinIkabw 1˛36 ˛˛ 0˛25 = 1 aWn 11 ann‰v = 25 -11 v 2) ASpØXmbn A∂sØ DZbsØ {]mtZinIkabam°Ww. DZbw C¥y≥ kabw 6˛03 F.Fw. DZbw {]mtZinIkabw (˛˛) 0˛25 ann‰v = 5 aWn 38 ann‰v 3) 25˛11 F{XmasØ tlmcbnemsW∂p I≠p]nSn°Ww. Pw {]mtZinIkabw 25˛11 DZbw {]mtZinIkabw (˛˛) 5˛38 hyXymkw = 19--˛33 ]sØmºXp Ign™Xnm¬ Ccp]XmasØ tlmc. 4) Ccp]XmasØ tlmc apIfnse ]´nI{]Imcw _p[tlmc. AXpsIm≠v tlmcm[n]≥ _p[≥. DZmlcWPmXIØnse tlmcm_ew: kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in 0 0 0 60 0 0 0 6 (8) Ab_ew 1. DØcmbWhpw Z£nWmbhpw (1) taSw ˛ anYpw: taSamkw H∂mwXnbXn taSwcminbntebv°p {]thin°ptºmƒ kqcy≥ ap°p tsc apºn¬ (0T =tajhnjphw) Bbncn°pw. ]n∂oSv Znhkw Hcp Un{KnhoXw hSt°m´p oßn taSw, CShw, anYpw cminIƒ ]n∂n´vv Aßp hSt°A‰Øv(90T )FØp∂p, (2) I°SIw ˛ I∂n: I¿°Samkw H∂mwXnbXn sXt°m´p≈ aS°w Bcw`n°pw. I¿°SIw, Nnßw, I∂n cminIƒ ]n∂n´vv, Xpemw H∂mwXnbXn kqcy≥ ho≠pw ap°p tsc apºn¬ (180T = Xpem hnjphw) FØ∂p. 152

Ap_‘w 2 (jUv_ehpw N{μ{Inb apXembhbpw) 635 (3) Xpemw ˛ [p: sXt°m´p≈ bm{X XpScp∂ kqcy≥ Xpemw, hr›nIw, [p cminIƒ ]n∂n´vv, [pamkw Ahkmw sXt° A‰Øv (270T ) FØp∂p. (4) aIcw ˛ aow: aIcw H∂mwXnbXn ho≠pw hSt°m´p≈ bm{X Bcw`n°p∂p. aow Ahkmw / taSw H∂nv ho≠pw ap°p apºn¬ (0T = tajhnjphw) FØp∂p, 0T / 360T 1˛taSw 12˛aow (0T ˛30T ) -(330˛360 T ) 2˛CShw 11˛Ipw`w (30T ˛60T ) (300˛330T ) 3˛anYpw 10˛aIcw (60T ˛90T ) (270˛300T ) 90T hS°v sX°v 270T 4˛I¿°Sw 9˛[p (90T ˛120T ) (240T ˛270T ) 5˛Nnßw 8˛hr›nIw (120T ˛150T ) (210T ˛˛240T ) 6˛I∂n 7˛Xpemw (150T ˛180T ) (180-˛210 T ) 180T kqcys‚ hSt°m´pw (aIcw ˛ anYpw) sXt°m´pw (I¿°SIw ˛ [p) D≈ Cu bm{XIsfbmWv DØcmbWw F∂pw Z£nWmbw F∂pw ]dbp∂Xv. Cu DØcmbWhpw Z£nWmbhpw F√m {Kl ߃°pap≠v. F∂m¬ Ab_eØnp tm°p∂Xv {Klw a≤y tcJbv°p hSt°m sXt°m F∂XmWv AYhm Hmtcm {KlØn s‚bpw {Im¥n (North Declina- tion / South Declination) BWv. 2. Ab_ew a≤ytcJbn¬n∂pw hSt°mt´m sXt°mt´m AIepw tXmdpw{KlßfpsS Ab_ew IqSpItbm IpdbpItbm sNøp∂p . (1) {Kl߃°v a≤ytcJbn¬ (0T /180T ) 30 jjvSywiamWv. Ab_ew. {KlßfpsS ]camh[n Abw ({Im¥n) 24 Un{Knbpw 24T ˛°p In´p∂ Ab_ew 60 jjvSywihpw BWv. CSbv°p≈Xv Bp]mXnIambn (ss{XcminIw sNbvXp) ImWWw. (2) a≤ytcJbv°p hS°p≈ KXnbn¬ kqcy≥, IpP≥, hymgw, ip{I≥ F∂o {Kl߃°pv Ab_ew h¿≤n°p∂p. `qa≤ytcJ bv°p sXt°m´p≈ KXnbn¬ CXp Ipd™p Ipd™p Xosc C√mXmIp∂p (kqcy≥, IpP≥, hymgw, ip{I≥ F∂o {KlßfpsS DØc{Im¥n (North Declination) 24T tbmSv Iq´Ww. Z£nW{Im¥n (South Declination) BsW¶n¬ 24T bn¬n∂pw Ipdbv°Ww. AXmbXv, 24T N -¬ Chbv°p ]q¿Æ Ab_ew D≠v; 24T S -¬ Xosc C√.) 153

^eZo]nI 636 (3) `qa≤ytcJbv°p sX°p≈ KXnbn¬ in, N{μ≥ F∂o {Kl߃°mWv Ab_ew In´pI. hS°p≈ KXnbn¬ ChcpsS _ew Bp]mXnIambn IpdbpIbpw sNøp∂p. (N{μpw in°pw Z£nW {Im¥n 24T tbmSp Iq´Ww; DØc{Im¥n Ipdbv°Ww.) (4) _p[≥ hS°p `mKØmbmepw sX°p `mKØmbmepw 24T ˛tbmSp Iq´Ww. (_p[v IqSpIam{Xta D≈q; Ipdben√.) (5) kqcyv Ab_ew Cc´nbmWv. 3. kmbkv^pSßfpw kmbÿnXnbpw {KlßfpsS Ab_ew IW°m°p∂Xv kmb{Klkv^pS ßfnemWv; PmXIßfn¬ sImSp°p∂Xv ncbkv^pSßfpw. AXpsIm≠v Ab_ew ImWp∂Xns‚ BZy]Snbmbn PmXIØnse ncb {Klkv^pSßsf kmbam°n am‰Ww. (amkw H∂mwXnbXnIfnse Abmwiw ]©mwKßfnepw Fs^sadnkpIfn epw sImSpØncn°pw.) DZmlcWPmXIØnse {Klkv^pSw (ncbhpw kmbhpw) {Klw kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in ncbw 55T ˛31 ’ 50T ˛49 ’ 5T ˛42 ’ 48T ˛00 ’ 145T ˛26 ’ 10T ˛46 ’ 77T ˛51’ (+) Abmwiw23T ˛5’˛25 ” (=)kmbw 78T ˛36’ 73T ˛54’ 28T -47’ 71 T ˛5’ 168T ˛31’ 33T 51’ 100T 56’ (ZimwiØn¬)78.60T 73.90T 28.78T 71..10T 168.53T 33.85T 100.93T tPymXn»mkv{X{]Imcw tajhnjphw (Vernal Equinox) hcp∂Xv am¿®v 21˛mWv. F∂m¬ Ωƒ CXv (hnjp) BtLmjn°p∂Xv G{]n¬ 14˛pw. Ccp]Ønmep ZnhksØ Cu hyXymkØnp ImcWw AbmwiamWv. tPymXn»mkv{XIW°pIƒ (Astronomy) kmbw AYhm Abmwiw tN¿∂Xpw, `mcXobtPymXnj IW°pIƒ (Indian Astrology) ncbw AYhm Abmwiw tNcmØhbpw BWv. DZmlcWPmXIØnse kmb{KlßfpsS AbÿnXn hS°v sX°v 3 2 1 12 11 10 60T ˛90T 30T ˛60T 0T ˛30T - 330˛360 T 300˛330 270˛300T c 78.60 -˛ Ip 28T .78 ˛ ˛˛ ˛˛ N 73.90 ip 33.85 ˛˛ ˛˛ ˛˛ ˛˛ _p 71..10T ˛˛ ˛˛ ˛˛ ˛˛ 4 5 6 7 8 9 90T ˛120T 120T ˛150T 150T ˛180T 180-˛210 T 210˛˛240 240˛270 a 100.93T ˛˛ Kp 168.53T ˛ ˛ ˛ 154

Ap_‘w 2 (jUv_ehpw N{μ{Inb apXembhbpw) 637 Cu PmXIØn¬ kmbkv^pS{]Imcw F√m {Klßfpw cminafieØns‚ hS°p`mKØmWv. 4. {KlßfpsS {Im¥n (Declination) {Kl߃ XßfpsS {`aWØnnSbv°v Ipd®pmƒv a≤ytcJ bv°p hS°pw Ipd®pmƒ a≤ytcJbv°p sX°pambncn°pw. Cu hyXnNe sØbmWv {Im¥n (Declination) F∂p ]dbp∂Xv. .360T hymkap≈ JtKmfhrØsØ KWnXkuIcyØnpth≠n 90T hoXap≈ mep `pPßfmbn Xncn®n´p≠v. {KlßfpsS kmb kv^pS߃ GXp `pPØnemWv hcp∂sX∂p tm°nbmWv AhbpsS {Im¥n n›bn°p∂Xv. `pPw ]cn[n {Im¥n ImWp∂ hn[w 1. 0T ˛˛ 90T {Klkv^pSw ˛˛ 0T 2. 90T ˛˛180T 180T ˛˛ {Klkv^pSw 3. 180T ˛270T {Klkv^pSw ˛˛ 180T 4. 270T ˛360T 360T ˛˛ {Klkv^pSw DZmlcWPmXIØn¬ {KlßfpsS {Im¥n: {Klw kqcy≥ N{μ≥IpP≥ _p[≥ hymgw ip{I≥ in kv^pSw 78.60T 73.90T 28.78T 71.10T 168.53T 33.85T 100.93T `pPw 1 1 1 1 2 1 2 {Im¥n 78.60T 73.90T 28.78T 71.10T *11.47T 33.85T *79.07T *Cu PmXIØn¬ hymgØnpw in°pw am{Xta am‰w hcp∂p≈p. (Kp ˛ 180 ˛˛ 168.53 = 11.47. a ˛ 180 ˛˛ 100.95 = 79.05) 5. `pPØns‚ 6 `mKßfpw AhbpsS {Im¥nbpw 90T hoXap≈ `pPßsf 15T hoXap≈ 6 `mKßfmbn Xncn®v Hmtcm `mKØnepw hcp∂ Abw ({Im¥n) {]tXyIw IW°m°nbn´p≠v. (0T - ˛ bv°v AbNean√). `pPØns‚ `mKw 1 2 3 4 5 6 ]cn[n 1T ˛15T 15T ˛30T 30T ˛45T 45T ˛60T 60T ˛75T 75T ˛90T {Im¥n (Iebn¬) 362’ 341’ 299’ 236’ 150’ 52’ BsI ˛˛ 703’ 1002’ 1238’ 1388’ 1440’ 155

^eZo]nI 638 DZmlcWPmXIØn¬˛˛ {Klw kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in {Im¥n 78.60T 73.90T 28.78T 71.10T 11.47T 33.85T 79.07T `mKw1 (1˛15) 362’ 362’ 362 ’ 362 ’ *276.80’ 362’ 362’ `mKw2 (15˛30) 341’ 341’ *313.72 341 ’ ˛ - 341’ 341’ `mKw3 (30˛45) 299’ 299’ - 299’ ˛ *77.14’ 299’ `mKw4 (45˛60) 236’ 236’ -˛ 236 ’ - ˛ 236’ `mKw5 (60˛75) 150’ *139.2 ˛ *111 ˛ ˛ - 150’ `mKw6 (75˛90) *12.54’ ˛ ˛ ˛ -˛ ˛ *15.60 BsI(Ie) 1400.54’ 1377.2 675.72 1349 *276.80 780.14 1403.60 (`mK) 23.34T 22.95T 11.26T 22.48T 4.61T 13T 23.39T *52$3.60 *150$13.90 *341$13.78*150$11.10*362$11.47 *299$3.65 *52$4.07 15 15 15 15 15 15 15 DZmlcWPmXIØnse Ab_ew {Klw kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in Un{Knbn¬ 23.34T 22.95T 11.26 22.48 4.61 13 23.39 {Im¥n (+ / --˛˛) + 24T ˛˛ 24 + 24T + 24T + 24T + 24T ˛˛-- 24 - - BsI 47.34T 1.05 35.26 46.48 28.61 37 0.61 Ab_ew ($ 5/4) 59.175* 1.31 44.08 58.10 35.76 46.25 0.76 *kqcyv Cc´n 118.35* 6 (9) bp≤_ew kmamynbaw tajmZn hnt£]ap≈ {Klw hS°p n¬°pw. XpemZnhnt£] ap≈h≥ sX°pw. c≠p hnt£]hpw tajmZnbmsW¶n¬ hnt£]tadnbh≥ hS°mbncn°pw. c≠pw XpemZnbmsW¶n¬ hnt£]w Ipd™hmWv hS°v. hS°p n¬°p∂hmWv Pbn°p∂mXv. ip{I≥ FhnsS n∂mepw Pbn°pw. kq£vaKWnXw. 1. c≠p {KlßfpsS tcJmwi߃ ({Klkv^pS߃) XΩnep≈ AIew Hcp Un{Knbn¬ Ipdbptºmfp≈ AhÿsbbmWv {Klbp≤w F∂p ]dbp∂Xv. 2. kqcypw N{μpw {Klbp≤Øn¬ hcp∂n√; Xmcm{Kl߃ (Ip, _p, Kp, ip, a) XΩnemWv {Klbp≤w kw`hn°pI. 3. KWnXcoXn: bp≤Ønep≈ c≠p {KlßfpsSbpw hnhn[ _e߃, AXmbXv, tXm∂X_ew, ]£_ew, {Xn`mK_ew, h¿j_ew, amk_ew, Znhk_ew, tlmcm_ew F∂o Ime_eß tfmSpIqSn Cn ]dbm≥ t]mIp∂ ÿm_ew, ZnIv_ew F∂nh IqSn Iq´Ww. Ahbn¬ IqSpX¬ D≈Xn¬ n∂pw Ipdhp≈Xp Ipdbv°Ww. At∏mƒ In´p∂ kwJysb _nw_]cnamW hyXymkw sIm≠p lcn°Ww. 156

Ap_‘w 2 (jUv_ehpw N{μ{Inb apXembhbpw) 639 _nw_]cnamW߃ (Iebn¬): IpP≥ _p[≥ Kpcp ip{I≥ in 9.4” 6.6” 190.4” 16.6” 158” BZyw ]d™ kwJybn¬ n∂pw c≠maXp ]d™ kwJy Ipdbv°p tºmƒ In´p∂XmWv v bp≤_ew. bq≤Øn¬ Pbn® {KlØns‚ Ime_etØmSv CXp Iq´Ww; bp≤Øn¬ tXm‰ {KlØns‚ Ime_eØn¬ n∂v A{Xbpw Ipdbv°pIbpw thWw. ΩpsS DZmlcWPmXIØn¬ {Klbp≤an√mØXnm¬, ChnsS DZmlcWØnmbn {Klbp≤ap≈ as‰mcp PmXIw FSp°pIbmWv. _p[≥ hymgw {Klkv^pSw 170.53 170.45 ÿm_ew 238.16 152.98 ZnIv_ew 31.97 31.99 tXm∂X_ew 60.00 6.10 ]£_ew 54.38 54.38 {Xn`mK_ew ˛˛ 60.0 h¿j_ew ˛˛ ˛˛ amk_ew ˛˛ ˛˛ Znhk_ew ˛˛ ˛˛ tlmcm_ew 60.00 ˛˛ BsI _ew 444.51 305.45 139.06 _nw_]cnamWw 6.6” 190.4” 183 ”.8 139.06 / 183.8 0.8 jjvSywiw bp≤_ew ˛˛ 0.80 + 0.80 157

^eZo]nI 640 DZmlcWPmXIØn¬ {KlßfpsS jUv_ew {Klw kqcy≥ N{μ≥ IpP≥ _p[≥ hymgw ip{I≥ in _ew˛ 1. ssk¿§nI 60.00 51.43 17.14 25.70 34.28 42.85 8.57 2. ZnKv 5.50 52.93 22.11 38.50 6.02 39.58 31.45 3. ZrIv 3.11 11.19 ˛2.80 11.55 ˛47.86 ˛2.80 ˛0.32 4. tNjvSm 0 0 33.66 1.92 28.31 41.28 3.92 5. D® 44.83 54.06 37.43 21 43.19 55.41 19.28 6. k]vXh¿§P 142.5 127.5 127.5 123.75 86.25 65.62 135 7. HmPbpKa 15 30 15 15 15 15 15 8. tI{μw 15 15 30 15 15 30 60 9. t{Z°mW ˛ 15 15 15 ˛ ˛ 15 10.tXm∂X 5.96 54.04 54.04 60 5.96 5.96 54.04 11.]£ 58.43 116.86 58.43 58.43 1.57 1.57 58.43 12.{Xn`mK ˛ ˛ ˛ ˛ 60 60 ˛ 13. h¿j ˛ ˛ ˛ 15 ˛ ˛ ˛ 14. amk 30 ˛ ˛ ˛ ˛ ˛ ˛ 15. hmc ˛ ˛ ˛ ˛ ˛ ˛ 45 16. tlmcm ˛ ˛ ˛ 60 ˛ ˛ ˛ 17.Ab 118.35 1.31 44.08 58.10 35.76 46.25 0.76 18.bp≤ 0 0 0 0 0 0 0 BsI jjvSywiØn¬ 498.68 529.32 451.59 518.95 283.48 400.72 446.13 cq]bn¬ 8.31 8.82 7.53 8.65 4.72 6.68 7.44 annawth≠Xv 5.00 6.00 5.00 7.00 6.50 5.50 5.00 Ap]mXw 1.66 1.47 1.51 1.24 0.73 1.21 1.49 DZmlcWPmXIØn¬ {KlßfpsS _ew (cq] ˛ Zimwiw) kqcy≥ 1.66 IpP≥ 1.51 in 1.49 N{μ≥ 1.47 _p[≥ 1.24 ip{I≥ 1.21 hymgw 0.73

Ap_‘w 2 (jUv_ehpw N{μ{Inb apXembhbpw) 641 1) 0˛-13-˛20 2) 0˛26˛40 3) 0˛40˛0 4) 0˛53˛20 5) 1˛6˛40 6) 1˛20˛0 7) 1˛33˛20 8) 1˛46˛40 9) 2˛0˛0 10) 2˛13˛20 11) 2˛26˛40 12) 2˛40˛0 13) 2˛53˛20 14) 3˛6˛40 15) 3˛20˛0 16) 3˛33˛20 17) 3˛46˛40 18) 4˛0˛0 19) 4˛13˛20 20) 4˛26˛40 21) 4˛40˛0 22) 4˛53˛20 23) 5˛6˛40 24) 5˛20˛0 25) 5˛33˛20 26) 5˛46˛40 27) 6˛0˛0 28) 6˛13˛20 29) 6˛26˛40 30) 6˛40˛0 31) 6˛-53˛-20 32) 7˛6˛40 33) 7˛20˛0 34) 7˛33˛20 35) 7˛46˛40 36) 8˛0˛0 37) 8˛13˛20 38) 8˛26˛40 39) 8˛40˛0 40) 8˛53˛20 41) 9˛6˛40 42) 9˛20˛0 43) 9˛33˛20 44) 9˛46˛40 45)10˛0˛0 46) 10˛13˛20 47) 10˛26˛40 48) 10˛40˛0 49) 10˛53˛20 50) 11˛6˛40 51) 11˛20˛0 52) 11˛33˛20 53) 11˛46˛40 54) 12˛0˛0 55) 12˛13˛20 56) 12˛26˛40 57) 12˛40˛0 58) 12˛53˛20 59) 13˛6˛40 60) 13˛20˛0 2. N{μmhÿ 1) 1˛6˛40 2) 2˛13˛20 3) 3˛20˛0 4) 4˛26˛40 5) 5˛33˛20 6) 6˛40˛0 7) 7˛46˛40 8) 8˛53˛20 9) 10˛00 10) 11˛6˛40 11) 12˛13˛20 12) 13˛20˛0 1. N{μ{Inb 3. N{μthe 1) 0˛22˛13˛20 2) 0˛44˛26˛40 3) 1˛6˛40˛0 4) 1˛28˛53˛20 5) 1˛57˛6˛40 6) 2˛13˛20˛0 7) 2˛35˛33˛20 8) 2˛57˛46˛40 9) 3˛20˛0˛0 10) 3˛42˛13˛20 11) 4˛4˛26˛40 12) 4˛26˛40˛0 13) 4˛48˛53˛20 14) 5˛11˛6˛40 15) 5˛33˛20˛0 16) 5˛55˛33˛20 17) 6˛17˛46˛40 18) 6˛40˛0˛0 19) 6˛2˛13˛20 20) 7˛24˛26˛40 21) 7˛46˛40 22) 8˛8˛53˛20 23) 8˛31˛6˛40 24) 8˛53˛20 25)9˛15˛33˛20 26)9˛37˛46˛40 27)10˛0˛0˛0 28) 10˛22˛13˛20 29) 10˛44˛26˛40 30) 11˛6˛40˛0 31) 11˛28˛53˛20 32) 11˛51˛6˛40 33) 12˛13˛20˛0 34) 12˛35˛33˛20 35) 12˛57˛46˛40 36) 13˛20˛0˛0

Add a comment

Related presentations