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Thursday, 15 August 2013

உலக - இந்திய ஜோதிட ஞானிகள்.

இந்திய ஜோதிடம்.





  ,e;j gpugQ;rj;jpy; ,e;jpa N[hjplnkd;gJ> fhyj;jhy; mopahj>ek; Kd;Ndhu;fshy;;; KOtJkhf gupNrhjpf;fg;gl;L>ekf;F mspf;fg;gl;l kpfj; njhd;ikahd N[hjpl KiwahFk;. N[hjp\h vDk; rk];fpUj thu;j;ijf;F xspfspd; tpQ;Qhdk; vd;W nghUs;. ,e;jpa my;yJ ,e;J N[hjplk; Nkiy ehl;ltuhy; Ntj N[hjplnkd miof;fg;gLfpwJ. ,e;Jf;fspd; Nfhl;ghLfisf; nfhz;Ls;s Ntjj;jpypUe;J Njhd;wpaNj N[hjpl rh];jpukhFk;. ,e;j gpugQ;rj;jpd; tptupf;f Kbahj jhf;fj;ij ehk; Gupe;J nfhs;sf;$ba tpQ;QhdNk N[hjpl tpQ;QhdkhFk;. ,ij czu;e;J khztu;fs; ,f;fiyia fw;gjpy; xU fu;;tKk;>ngUikAk;nfhs;s Ntz;Lk;.;; ,e;j mw;Gjf; fiyiaf; fw;gjpy; cq;fSf;F Vw;gLk;; Mu;tKk;;>mu;g;gzpg;G czu;TNk cq;fs; midtiuAk; xU rpwe;j N[hjpluhf;fptpLk; vd;gjpy; Iakpy;iy.;
   gz;ila Kdptu;fspd; tho;f;ifiag;gw;wpa mtu;fspd; GupjiyAk;>mDgtq;fisAk; NtjN[hjplk; gpujpgypf;fpwJ. ,e;J Kdptu;fs; kw;Wk; jj;JtQhdpfs; flTisg;gw;wpa tpsf;fq;fis mspj;J> mij kf;fspilNa nfhz;Lnry;y kpFe;j rpukq;fis rpu Nkw; nfhz;ldu;. ,e;j cyfNk nja;tPf rf;jpahy; ,aq;Ftjhf tpsf;fpdu;. flTisg;gw;wpa cau;e;j QhdkhdJ xt;nthU kdpjidAk; fhj;J>mtd; tsu;r;rpf;fhd ey;y re;ju;gq;fis cUthf;fpj;jUfpwJ vd;Wk; czu;j;jpdu;. mg;gbg;gl;l xU mupa re;ju;g;gNk> = mfj;jpau; N[hjpl gapw;rp ikaj;jpy;;;;; khzt kzpfs; jq;fis ,izj;Jf; nfhz;ljhFk;. mtu;fshy; czu;j;jg;gl;l ,f; nfhs;iffs; midj;JNk kdpjDf;F ijupaj;ijAk;>ek;gpf;ifiaAk; mspj;jJ. vdNt> Ntj N[hjplkhdJ kdpjdpd; gf;jp kakhd eltbf;iffs; kPJ ek;gpf;if itf;fpwJ. NkYk;> mtDf;Fj; jhd; ahu; vd;w cz;ikfisAk; czu topfhl;LfpwJ. ,e;j topfhl;lyhdJ xt;nthU Md;khTk; jhd; fw;fpd;w ghlq;fis>me;j re;ju;g;gq;fspy;> mtu;fs; kl;LNk fw;f KbAk; vd;w cz;ikiaAk; czu cjTfpwJ. ,g;gbahf >,e;j Md;khTf;F Rg;uPk; gtuhd flTs; kw;Wk; fpufq;fs; mspj;j topfhl;Ljy;fshYk;>mjd; %ykhf Vw;gl;l ek;gpf;ifahYk;> N[hjplu;fs; fzpf;fpd;w gyd;fs; cz;ikahfpd;wd. vg;NghJk; jtWtjpy;iy vd;gij mtd; njupe;J nfhs;fpwhd;.
   N[hjplj;ijg; gw;wpa goikahd E}y;fspy; xd;W yfjhthy; vOjg;gl;l upf; N[hjplkhFk;. ,jpy; Ie;J tifahd tUlq;fisg;gw;wpAk;>,U madq;fSk; mjd; Jtf;f el;rj;jpuq;fSk; nfhLf;fg;gl;Ls;sd. NkYk; 27 el;rj;jpuq;fs;>tre;jfhy rkfhyg;Gs;spfspd; tf;ufjp Nghd;w EZf;fkhd tptuq;fSk; nfhLf;fg;gl;Ls;sd. ijj;upa g;uhkzhtpy; MW gUtq;fs; Fwpg;gplg;gl;Ls;sd.
   N[hjpltpaypd; 18 %yfu;j;jhf;fshd Kdptu;fs; mjd; tsu;r;rpf;Fg; ghLgl;ltu;fs; Mtu;. mtu;fs; #u;a>gpjhkf>tpahr>trp\;l>mj;up>guhru> f];ag>ehuj>fu;f>kuPrp>kD>Mq;fpur> Nyhkr>ngsypr>];atd>atd>gpUF kw;Wk; nrsdf Mfpa xt;nthUtUk; XU rpj;jhe;jj;ij vOjpAs;sdu;. ,tu;fs; mspj;j rpj;jhe;jq;fs; kw;Wk; gz;ila ,yf;fpaq;fs; midj;Jk; mwpTf; fsQ;rpaq;fshfj; jpfo;fpd;wd. N[hjplj;ij rpj;jhe;j ghfk; kw;Wk; gypj ghfk;>mjhtJ fzpjk; kw;Wk; gyd;$Wk; ghfk; vd ,U gpupTfshfg; gpupf;fyhk;.
   uhrp kz;lyk; vDk; ntspr;rf;fuj;jhy; fpufpf;fg;gl;l fjpu;tPr;Rfs; tbfl;lg;gl;L G+kpf;F mDg;gp itf;fg;gLfpd;wd. uhrp kz;lykhdJ Nk\uhrp Kjy; kPduhrp tiuapyhd 12 uhrpfshfg; gpupf;fg; gl;Ls;sd. kdpj tho;f;ifapy; filg;gpbf;f Ntz;ba  ehd;F flikfshd ju;kk; (ey;top)>mu;j;j (nry;tk;)>fhkk;; ;(Mirfs;) kw;Wk; Nkhl;rk; (flTsplk; Mj;k ruzhfjp miljy;) Mfpatw;iw Kiwahf ey;topiaf; filg;gpbj;J>nry;tk; Nru;j;J>Mirfis epiwNtw;wpf; nfhz;lgpd; Mj;k rku;gzkhf flTsplk; ruzhfjp mila Ntz;Lnkd;gNj uhrpfspy; Gijj;J itf;fg;gl;ls;s kiw nghUshFk;. me;j kiwnghUis mwpaNt khztu;fs; ,q;Nf xd;wpize;Js;sPu;fs;. ,dp n[hjplj;jpd; Njhw;wk; kw;Wk; Kd;Ndw;wj;jpw;fhfg; ghLgl;l cyf tpQ;Qhdpfs; kw;Wk; ,e;jpa N[hjplj;jpd; mirf;fKbahj m];;jpthuq;fshd Kdptu;fs; gw;wpa tptuq;fisf; fhz;Nghk;.
   

உலக வானியல் நிபுணர்கள்


  fpshba]; gpNlhykp : ,tuJ topKiwfs; gpw;fhyj;jpy; jtW>rupahdjy;y vdr; Rl;bf; fhl;lg;gl;lhYk;>,tu; cyfpd; kpfr;rpwe;j thdpay; kw;Wk; fzpj epGzu;fspy; xUtu; vd;gij kWg;gjw;fpy;iy. MdhYk; ,tupd; Nfhl;ghLfisg; gpd;gw;wpa ty;Ydu;fSf;F mJ m];jpthukhfTk;> cjTtjhfTk; mike;jd. 16 k; E}w;whz;L tiu ,tuJ  Nfhl;ghLfs; tpQ;Qhd cyif Mf;ukpj;jpUe;jd. ,tu; vfpg;jpYs;s mnyf;]hz;bupahtpy; jdJ tho;ehspd;; ngUk;gFjpiaf; fopj;jhu;. ,tuJ Gfo;ngw;w E}yhd my;khn[];l;by; fpufq;fs;>#upa>re;jpu epiyfs; kw;Wk; efuhj el;rj;jpuq;fs; Mfpatw;iw [pNahnkl;upf; fzpjk; %ykhf tpsf;fpAs;shu;.
    epf;nfhy]; fhgu;epf]; : ,tu; xU ghyp\; thdpay; epGzu; Mthu;. ,tuJ fhgu;epf]; jpaup %ykhf Gfo; ngw;whu;. ,jpy; gpugQ;rj;jpw;Fk;> G+kpf;Fk; eLtpy; G+kp ,Ug;gjhfTk;;;;> mJ jd; mr;rj;jpy; jd;idj;jhNd Rw;wpf; nfhz;L #upaidAk; tyk; tUtjhff; $wpAs;shu;. ,e;j eilKiw `PypNah nrd;l;upf; my;yJ eLtpy; #upad; Kiwnad toq;fg;gl;lJ.
    ilf;Nfhg;Nu: ,tu; #upaghijapd; Jy;ypakhd mstPl;L Kiwfisf; fz;Lgpbj;jtu;.mj;Jld; 700 f;Fk; mjpfkhd el;rj;jpuq;fisAk; fz;lgpbj;j lhdp\; ehl;L thdtpay; mwpQu.fp.gp.1572 y; fh]pNahgpah el;rj;jpuf; $l;lq;fspd; mUNf #g;gu;Nehth el;rj;jpuj;ijf; fz;Lgpbj;jNj ,tuJ fz;lgpbg;Gf;fspy; jiyahaJ.;
    fyPyp fyPypNah : (fp.gp.1564-1642) ,tu; xU ,j;jhypa ngsjpfk; kw;Wk; thdpay; epGzu;. thdpay; kw;Wk; ngsjpfj;jpw;Fk; ,tu;nra;j Nrit kw;Wk; gq;fspg;G vg;NghJk; epidtpy; itj;jf;nfhs;s Ntz;ba xd;whFk;. 1613 y; #u;ah ];ghl; kw;Wk; 1624 y; ilyhf; Md; jp ill;]; Mfpa Gj;jfq;fis ntspapl;lhu;. fhgu;epf]; kw;Wk; g;Nyhlkp MfpNahiug;gw;wp tpku;rpj;jjhy; Nuhk; ehl;bd; tprhuiz kd;wj;jhy; tprhupf;fg;gl;L rpiwapyilf;fg;gl;lhu;.
    N[hfd;]; Nfg;yu;; : n[u;kdpapd; thdpay; epGzu; kw;Wk; ,aw;if jj;Jtthjpahthu;. fpuf mirTfSf;fhd tpjpfs; %d;iwf; fz;Lgpbj;J>me;j #j;jpuq;fis Nrhjpj;Jg; ghu;j;Jk; ngUikaile;jhu;. ,JNt Nfg;yu;]; yh Nfg;yupd; tpjpfs; vdg; Gfo; ngw;wJ. vgpNlhk; Mg; fhg;gu;epf]; vd;w ,tupd; E}y; kpfr; rpwe;j E}yhFk;.
     vl;kz;l `hyp : (fp.gp 1656-1742). Kjd;Kjyhf thy;el;rj;jpuj;jpd; Row;rpiaf; fzpj;jtu;.1687 y; gpupd;]pgps; vd;w Gj;jfj;ij jdJ nrhe;j nrytpy; ntspapl;l gpupl;b\;fhuu;. re;jpudpd Vw;w ,wf;fkhd Row;rpfis 18 Mz;Lfs; Ma;T nra;jhu;. ,tu; cyFf;F mspj;j rpwe;j E}y; fhkl;lup m];l;uhdkp vd;gjhFk;.
     kupah kpl;nry; :; (fp.gp. 1818 1889 ) ,tu; kpfr;rpwe;j ngz; thdpayhsu;. 1847 y; ,tu; fz;lgpbj;j njhiyNehf;fp thy; el;rj;jpuk; jhd; (nly];Nfhgpf; fhnkl;) thdpaw; Jiwapy ,tUf;F rupahd mq;fPfhuj;ijaspj;jJ.


இந்திய ஜோதிட ஞானிகள்

   
  ,e;jpa N[hjplkhdJ FUFy Kiwapy;> FU tha;nkhopahff; $wp rp\;au;fSf;Fg; nghjpj;jhu;. ,JnthU rpwe;j Kiwnad;whYk;>vJTNk vOj;J %ykhf gjpT nra;ag;glhjJ kpfg; ngupa FiwahFk;. FUthdtu; jdJ kpfr; rpwe;j khztu;fSf;F kl;LNk ufrpaq;fisf; fw;gpj;jhu;. ,jd; fhuzkhfNt gy Kf;fpakhd N[hjplj; jfty;fis ehk; vg;NghJNk ; ngwKbahkw; NghdJ. ,JNt FU rp\;a Kiw my;yJ FUFyKiwapdhy; Vw;gl;l kpfg; ngupa FiwahFk;.
      fu;f Kdptu;>tpj;jh fu;f>m];jp>Mu;agl;lh vd;w fzpjNkij>gpUF #j;jpuk; vOjpa gpUFKdptu;>gpuf];gjp(FU)>gj;uhazu;>fgpyu;>f\;agu;>kD>kdpjh>kfup\p guhruh> rj;ar;rhu;ah>tuh`pkpfpuu;>gpUfj; [hjfj;Jf;F tpsf;fkspj;j gNlhj;gtu;>tuhfpkpfpuupd; Gjy;tu; gpUj;Aahrh>itj;jpaehj jPl;rpju;>([hjfghup[hjk; vOjpatu;)>cj;jpufhyhkpu;jk; vOjpa fhspjhru;;>[hjf jj;Jth vOjpa kfhNjth>,d;Dk; vj;jidNah>kfhKdptu;fs;> mwpQu;fs;>,e;jpa N[hjpl tsu;r;rpf;Fk;>Kd;Ndw;wj;jpw;Fk; jq;fs; NritiaAk;> gq;fspg;igAk;> thup toq;fpatu;fs; Mtu;.
      kfup\p guhruu;; : (fp.K. 3200 ) ,tu; ,e;jpa N[hjpl cyfpd; je;ij vd ;midtuhYk; Gfog;gl;ltu;. ,tu;gilj;j kpfg; ngupa N[hjpl E}y; gpUfj; guhru N`huh rh];j;uh vd;w E}yhFk;. ,e;j E}ypy; ,tu; jdJ FUkhu;fshd gpuf];gjp kw;Wk; trp\;lu; MfpNahupd; fUj;Jf;fisAk; Fwpg;gpl;Ls;sjhy; ,tUf;F mtu;fspd; jhf;fk; mjpfk; ,Ue;jpUf;Fk; vdf; fUjg;gLfpwJ.
        kfup\p n[a;kpdp : guhruupd; rk fhyj;jtu; Mthu;.  tpahr kfup\papd; gpujhd rPlu;fspy; xUtuhd ,tiu tpahr Kdptu; gj;uhazu; vdf; Fwpg;gpLfpwhu;. ,tuJ #j;jpuq;fspy; Uj;uhk;rk;>r];jhk;rk;>rg;jhk;rk; kl;Lkpd;wp yf;dk; (tu;dj yf;dk;) kw;Wk; Nahfq;fSk; (rf;jp Nahfk;>uh[Nahfk;) Mfpait ,izf;fg;gl;Ls;sd. ,tuJ G+u;t kPkhk;r #j;jpuq;fs; fpl;lj;jl;l 3000 #j;jpuq;fisf; nfhz;lJ. ,J ju;kj;ijg;gw;wp Nghjpj;jNjhL kl;Lky;yhky; kPkhk;rh ghlrhiy khztu;fSf;F mbg;gilahd Nghjdh E}yhfTk; tpsq;fpaJ. ,tupd; ju;kj;ijg; gw;wpa tpsf;fq;fs; kdpj tho;f;iff;F rpwe;j tpsf;fkhff; fUjg;gl;lJ.
     gjQ;ryp Kdptu; : (fp.K.3000) ,tu; Nahfahj;uh vd;w E}iyj; njhFj;jtu;. ,e;j njhFg;gpy; kdJ kw;Wk; cs;Szu;T rk;ge;jg;gl;l jj;Jthu;j;jkhd gonkhopfs; ,lk; ngw;wpUe;jd.
     gd;dpdp Kdptu;;; : (fp.K.520 460) ,tu; gz;ila fhyj;jpy; ,e;jpa ,yf;fz tpj;jfu;. ,tu; Rkhu; 3959 ,yf;fz tpjpfis cUthf;fpatu;. ,tuJ fhyj;NjhL rk];fpUj Ntjfhyk; Kbtile;jjhff; fUjg;gLfpwJ.
     fhl;ahad up\p : (fp.K. 3 k; E}w;whz;L) ,tUk; xU rk];fpUj ,yf;fz tpj;jfu;> fzpjNkij; kw;Wk; NtjQhdp Mthu; ,tu; gz;ila ,e;jpahtpy; fpNuNfh ghf;Bupad; uh[;aj;jpy; ,Ue;jhu;> gd;dpdp Kdptupd; ,yf;fz E}y;fis tpupthf;fp bf;fh vd;w E}Yk;;>gjQ;ryp Kdptupd; kfhgh\;ahitAk; jOtp vOjpa ,U ,yf;fz E}y;fSk; cyFf;F ,tu; mspj;j NfhilahFk;.; ,tu; Ry;g #j;uh vd;w [pNahnklup E}iyAk; vojpAs;shu;..
     Mu;agl;lh : (fp.K.476 550) ,tu; thdpay; kw;Wk; fzpj rh];jpuj;jpYk; rpwe;J tpsq;fpatu;. jw;Nghija ghl;dh vDk; ghlypGj;jpuj;jpw;F mUfpYs;s R\;khf; vd;w fpuhkj;jpy; gpwe;J>F\;kGuh tpy; jdJ gs;spg;gbg;ig Kbj;jhu;. Mupagl;Bak; Mu;agl;lh rpj;jhe;jk; Mfpait ,tupd; kpfr; rpwe;j gilg;Gfs; MFk;. thdpay; kw;Wk; fzpjk; rk;ge;jkhd ftpijtbthd ,e;j E}y;fs; gyE}w;wz;LfSf;Fg; gpwFk;  jhf;fj;ij Vw;gLj;jpAs;sJ. Kjyhk; gh];fuh kw;Wk; ePyfz;l Nrhka;ah[p ,UtUk; ,tuJ E}y;fis tpupthf vOjpAs;sdu;. njupahj vz;fSf;F gjpyhf vf;]; Nghd;w vOj;Jf;fisg; gad;gLj;jp fzpjk; nra;j Kjy; fzpjNkij ,tuhfj;jhd; ,Uf;Fk;. thdpaypy; ,tupd; topKiwfs; mTjhfah topKiw vd miof;fg;gl;lJ. ,tupd; gpw gilg;Gfs; fhztpy;iynad;whYk;> gpuk;k Fg;jhtpd; fz;lhf; mj;ahakhtpy; midj;Jk; tptupf;fg;gl;Ls;sd.
     tuhfpkpfpuu; ;: (fp.K. 505 587)  ;;c[n[a;dpiag; gpwg;gplkhff; nfhz;l tuhfpkpfpuu; ;gz;ila ,e;jpa E}y;fshd #upa rpj;jhe;jk;>Nuhkf> ngsypr>trp\;l kw;Wk; gpjhkf rpe;jhe;jk; vd;w Ie;J E}y;fis; njhFj;J  gQ;r rpj;jhe;jpfh  vd;w ngaupy; ntspapl;ltuhthu;. ,tupd; kw;nwhU gilg;G gpUfj; rk;fpjh MFk;. ,J xU gy;fiyf; fsQ;rpakhFk; (vd;irfNsh gPbah).,e;jpa N[hjplj;jpy; [hjf mikg;ig tpsf;ff; $ba Ie;J Kf;fpa fpue;jq;fspy;; ,jTk; xd;whFk;. kw;w ehd;F E}y;fshtd njatQ;a ty;ygk;> ;yF [hjfk;>Nahfahj;uh kw;Wk; tpthf glyk; MfpaitahFk;. thdpaYk;> fzpjKk; N[hjplj;ij tpl;L gpupj;jtpl KbahjitfshFk;. ,e;jpa N[hjpltpaypd; je;ij vdg;gLk; tuhfpkpfpuu; kpfr;rpwe;j thdpay;>fzpj kw;Wk; N[hjpl Nkijahthu;. ,tUila Gjy;tu; gpUj;Aarh N`huhrhuh vDk; E}iy N[hjpl cyFf;F mspj;jtuhthu;. rk];fpUj thu;j;ijfshd jpupNfhzkpjp kw;Wk; [pNahkpjp Mfpa nrhw;fNs bupf;dhNkl;up kw;Wk; [pNahnkl;up vd te;jd.tuhfpkpfpuu; thdrh];jpuj;jpw;F gQ;rrpj;jhe;jpfhitAk; N[hjplj;jpw;F N`huhrh];j;uhitAk; vOjpdhu;. thdpaypYk;> fzpjj;jpYk; cyf Nkijfshd Nfg;yu; kw;Wk; Nyg;Ns]; Mfpatu;fSf;F ,izahf cau;e;jhu;. Nfg;yUf;F Kd;dNu ird; blh fzpjq;fis ,tu; mwpe;jpUe;jjhf #wg;gLfpwJ.; 
     Kjyhk; gh];fuh : (fp.K 600 680) 7 k; E}w;whz;bd; fzpjNkij. ,e;J mNugpa Kiwapy; vz; tbtj;jpy; G+[;aj;jpw;F rpwpa tl;l (Kl;il) ;tbtj;ij Kjy; Kjyhf cgNahfpj;jtu;. Mu;agl;lhtpd; rPlu;. Mu;agl;lhtpd; E}y;fSf;F tpsf;fk; mspj;jtu; ,tNu.
     yy;yh : (720 790) ;  rp];ahjp tpj;jp je;uh vDk; E}iy vOjpa kpfr; rpwe;j thdpay; ty;Ydu;;.
    =juh : 8 k; E}w;whz;bd; rpwe;j fzpj Nkij. Nfhsj;jpd; nfhs;sT fhZk; #j;jpuj;ijAk;>#j;jpuj;jpw;F jPu;T fhZk; tpjpfisAk; fz;Lgpbj;jtu;.
    tNl];tuh : 10 k; E}w;whz;bd; fzpj Nkij. ,jpy; mg;isL Nkjnkbf;]; gw;wp tpsf;fpAs;shu;.
    tPuNrdh : 8 k; E}w;whz;bd; fzpj ty;Ydu;. yhfpupj Kiwapy; fzpjk; nra;jtu;.mu;j;j Nrjh  buuf;f Nrjh kw;Wk; rJu;j;j Nrlh Mfpatw;iw fzpjj;jpy; cgNahfpj;jtu; ,tNu.
     Mu;agl;lh 2 : (920-1000) fzpj Nkij.kfhrpj;jhe;jj;ij cUthf;fpatu;.
     kfhtPuh : nefbt; vz;Zf;F tu;f;f %yk; fpilahJ vd Mzpj;jukhf; Fwpg;gpl;l fzpj Nkij. ePs; tl;lj;jpd; gug;gsT kw;Wk; Rw;wsT gw;wp Nrhjid nra;J> mjw;fhd tpjpfis mspj;jtu;.
     gpukk;Njth : Mu;agl;lhtpd; Mu;agl;Bak;  E}iy tpsf;fkhf vOjp jdJ fuzgpufhrpfh vd;w E}ypy; mspj;j fzpj Nkij.
     gh];fuh 2 (1114 -1185) gh];fuhr;rhu;ah vd miof;fg;gl;l ,tUk; xU fzpj Nkij. ,tuJ jpwik ,tiu c[;n[adpapy; ,Ue;j thdpay; ikaj; jiytuhf;fpaJ. yPyhtjp>(mupjnkbf;]; gw;wpaJ) gP[fzpjk; (my;[pg;uh) kw;Wk; rpj;jhe;j rpNuhd;kzp Mfpait ,tuJ gilg;GfshFk;.
     =gjp : (1019-1066) #up>re;jpu fpufzq;fisg; gw;wpa 20 ftpij tbt jpNfhbj fuzh E}iy vOjpatu;. fpuf jPu;f;f Nuif fzf;fpLk; Kiw.fpufz fzpjk; kw;Wk; fpuf rQ;rhu fzpjk; gw;wp ,tu; 105 ];Nyhfq;fis vOjpAs;shu;. mjd; ngau; JUt khd]h thFk;. NkYk; 19 ghly;fisf; nfhz;l rpj;jhe;j Nrfuh>125 ];Nyhfq;fisf; ;nfhz;l fzpj jpyf; Mfpatw;iw vOjpatUk; ,tNu.
    kfhNjth : gz;ila N[hjpl E}y;fis njhFj;J toq;fpdhu;. ,tuJ gilg;G Ie;J jj;Jtq;fisf; nfhz;ljhf ,Ue;jJ. rk;[dh jj;Jth>Rjpf jj;Jth>([ddfhy epiy); gufpuz jj;th> (ght gyd;fs;) jrh jj;th (jrhGj;jp gyd;) MFk;.
     fhspjhrh : cj;jpufhyhkpu;jk; vd;w kpfr;rpwe;j N[hjpl E}iy cUthf;fpatu;. kpf mjpfkhd ght>fpuf fhufq;fs; cs;slf;fpaJ. rdpjpirapy;>Rf;fpu Gj;jpapy; murDk; Mz;bahthd; vd;gJ Nghd;w gyd;fisAk; cs;slf;fpaJ.;;





உலகஜோதிடம்,



ஜோதிடமும்...மனித வாழ்வும்..


உலக ஜோதிடம்




     N[hjplk; kdpjFyj;ij>tk;rhtop tifapYk;>Rw;W#oy; tifapYk;>fpufq;fspd; %ykhf jhf;fj;ij Vw;gLj;JtNjhly;yhky;>mtd; gpwf;Fk; NghJk; mtd; kPJ jhf;fj;ij Vw;gLj;JfpwJ. ,e;j fpufq;fshdJ mtdpd; mbg;gil tho;f;iff;F rf;jpahfTk;>mtid ,af;Fk; fUtpahfTk;;;;; tpsq;Ffpd;wd. ,e;j fpuf rf;jpfs;>uhrp kz;lyj;jpy;> mjd; epiyfisg; nghUj;Jk;> ,izTfisg; nghUj;Jk; khWgl;l epiyfis ,g;G+kpapy; cUthf;Ffpd;wd. xU [hjfu; gpwf;Fk;NghJ> gpwe;j ,lj;Jf;fhd fpuf epiyfisg; nghUj;Jk;> N[hjpl mbg;gilapyhd tPLfspd; mikg;igg; nghUj;Jk;>[hjfupd; tho;f;ifapd; epfo;Tfis tpsf;FfpwJ>tptupf;fpwJ. vdNtjhd;>fpufq;fspd; jd;ik kw;Wk; ghtfq;fisg; nghUj;Jk; mtupd; [dd [hjfj;jpd; %ykhf>vjpu;fhy gyd;fis N[hjplj;jhy; gFj;jwpe;J>glk;gpbj;Jf; fhl;l KbfpwJ.;;;

     thdj;jpypUf;Fk; rpy fpufq;fs; G+kpapd;Nky; xspia ckpo;fpd;wd. kw;Wk; rpy xspaw;W ,Uf;fpd;wd. mit xspf;fpufq;fshd #upadpd; xspfis fpufpj;Jf; nfhs;tjpd; %yNk> ek; fz;fSf;Fg; Gyg;gLfpd;wd.Kjypy; $wg;gl;l el;rj;jpuq;fs epiyahd ,lj;jpy; ,Ug;gjhy; ];jpu el;rj;jpuq;fs; vd;Wk;>#upad; kw;Wk; kw;w fpufq;fs; efu;fpd;wgbahy; fpufq;fs;”என்றும்  பெயர்பெற்றன.; இந்த பாடத்தில் மாணவர்கள் உலகம் மற்றும் இந்திய ஜோதிடத்தின் தொடக்கம் மற்றும் வளர்ச்சிபற்றியும்> உலக்ப்புகழ் பெற்ற வானியல் அறிஞர்கள் அவர்களின் கடண்டுபிடிப்புக்கள்> இந்நிய வானியல் ஜோதிட>கணிதமேதைகள் பற்றியும்> முனிவர்கள்> ஞானிகள்பற்றியும்> அவர்கள் அனைவரும் எழுதிய ஜோதிட முன்னேற்றத்திற்கான அறிவியல் நூல்களைப் பற்றியும்> தகவல்களைப்பற்றியும் விரிவாக அறிந்துகொள்ள வேண்டியது அவசியமாகிறது. gioa rupj;jpuq;fs; gadw;wJnghy; Njhd;wpdhYk;> ekJ FLk;g Kd;Ndw;wj;jpw;Fg; ghLgl;l %jhijau;fspd; ngUikawpe;J ehKk; ngUikg; gl;Lf;nfhs;tJ Nghy; ek; Kdptu;fspd;>Kd;Ndhbfspd; ngUikawpe;J mtu; top elg;gJ ek; flikahFk;. mjw;F cjTtNj ,g; ghlkhFk;.


     gy;yhapuk; Mz;LfSf;F Kd; vfpg;J>ngU>nkf;]pNfh Mfpa ehLfspy;jhd; thdpaypd; Ntu;fs; CLUtpajhff; fUjg;gLfpwJ. fp.K. 4000 Mz;LfSf;F Kd;dNu vfpg;jpau;fs; fpuf epiyfisg; gw;wpa njspthd mwpitg; ngw;wpUe;jhu;fs;. mNj fhyj;jpy;> rPdu;fSf;Fk; thdpay; mwpT epiwe;jpUe;jjhfj; njupfpwJ. Vnddpy;> fp.K. 2068 y; Nfhahq;Fl;Nl vd;w rPd muru; Nfhsuq;fk; fl;bajhf tuyhWfs; njuptpf;fpd;wd kp.K.530 y; gpj;jhNfhu]; - G+kp jd;dij;jhNd>jd;mr;rpy; Roy;tjhff;; fz;lwpe;jhu;. fp.K. 275 Rkhupy; mup]lhu]; vd;w mwpQu;> G+kp #upaidAk; Rw;wpr; Roy;tjhff; fz;L gpbj;jhu;. fp.K 320 260 f;F ,ilNa mup];lypd; kw;Wk; bNkhup]; MfpNahu; el;rj;jpuq;fspd; epiyfisg; gw;wpa ml;ltiz xd;iw jahupj;jhu;fs;. ,t;thwhf> mwpQu;fs; mspj;j> fpufq;fs;>el;rj;jpuq;fs;>mjd; mirTfs; vd;W mtu;fs; toq;fpa mwptpd; %ykhfNt>,e;j fpufq;fspd; mirTfis mbg;gilahf;nfhz;L>kdpjdpd; vjpu;fhyk; gw;wp mwptpf;Fk;>N[hjplk; gpwe;jnjd;why kpifahfhJ.

    gpNlhy;kp (fp.K. 120 180 ) vd;w mwpQu; `pghu;f]; ( fp.K. 150 ) vd;w mwpQiuj; jOtp >thdpay; kw;Wk; N[hjplj;ijg gw;wp vOjpa my;khn[];l; vd;w E}Ny cyfpd; kpfr;rpwe;j thdpay; E}yhff; fUjg;gLfpwJ. mNugpau;fSk; cyfpd; kpfr;rpwe;j E}y; ,JNt vdf; $wpAs;sdu;. ,e;j E}ypy;. G+kpapd; mikg;Gg; ghij>fpuf Row;rp>fpufzk; gw;wpa tptuq;fs;>kpy;fpNt vDk; el;rj;jpu xsp kz;lyk; gw;wpa jfty;fSk; ,lk;ngw;W ,Ue;jd.
   fp.gp. 1209 y; Nfk;gpupl;[; gy;fiyf; fofk; cUthf;fg;gl;lJ. fp.gp. 1250 y; N[hjplf; fy;tp gapw;Wtpf;fg;gl;lJ. fhgu;epf]; (fp.gp.1473 1543 ) `pypNah-nrd;l;upf; Nfhl;ghl;il cUthf;fpdhu;. mtu; G+kp> #upaidr; Rw;wp tUtjhff; $wpdhu;. eh];l;ulhk;];; (fp.gp. 1503 1630) ilNfhg;Nu ( fp.gp.;; 1546 -1601 ) kw;Wk; Nfg;yu; (fp.gp. 1571 -1630) MfpNahu; N[hjpl mwpTtsu Kj;jha;g;ghf jq;fs; gq;ifaspj;jdu;. fypyPNah nly];Nfhg;ig fp.gp 1609 y; fz;Lgpbj;jhu;. mjd; %ykhf fpufq;fisAk;> el;rj;jpuq;fisAk; Rygkhf MuhAk; epiy Vw;gl;lJ. epA+l;ld; (fp.gp. 1642 1727) thdpay; kw;Wk; N[hjplj;ijg; gw;wp Muha;e;J 2884 el;rj;jpuq;fisg; gw;wpa tptuq;fisj; njhFj;jspj;jhu;. ,t;thwhf gz;ila cyfpy; N[hjplk; gbg;gbahf tsu;r;rpaile;jJ.;
   ngsu;zkp khjj;jpw;F xUKiw Njhd;Wtij mbg;gilahff; nfhz;L>#upaghij my;yJ uhrp kz;lyk; 12 rkghfq;fshf ekJ Kd;Ndhu;fs; gpupj;Js;sdu;. ,jd; xU gFjpNa uhrp vdg;gLfpwJ. uhrp kz;lyg; gpupTfs; kw;Wk; etfpufq;fshd #upad;>re;jpud;> nrt;tha;>Gjd;>FU>Rf;fpud;> rdp gw;wpa mbg;gil cz;ikfs; khwhky; mg;gbNa cs;sd.





  

Wednesday, 14 August 2013

ஆண்டுகள்...அயனங்கள்






ஆண்டுகள்,அயனங்கள்,ருதுக்கள்.



    
     jkpo; Mz;Lfs; nkhj;jk; 60 MFk;. jkpo; Mz;ilj;jtpu kw;w Mz;LfSf;F ngau; fpilahJ. jkpo; Mz;Lfspd; ngau;fs; KotJkhf midj;Jg; gQ;rhq;fq;fspYk; nfhLf;fg;gl;bUg;gjhy;>;;khztu;fs; mtw;iwg;gbj;J mwpe;J nfhs;sTk;. kw;w Mz;Lfs; vz;fshy; kl;LNk Fwpg;gplg;gLfpd;wd.  ;;
nrsukhd Mz;L.
     #upa khjq;fs; my;yJ nrsukhd khjq;fs;.: uhrp kz;lyj;jpy; cs;s 12       uhrpfspy;. xU uhrpiaf; flf;f #upad; vLj;Jf;nfhs;Sk; fhyNk 1 #upa khjkhFk;. xU uhrpapdpd;W #upad; mLj;j uhrpf;Fs; EioAk; fhyk; rq;fuhe;jp vd miof;fg;gLfpwJ. 12 uhrpfisf; flf;f #upad; vLj;Jf; nfhs;Sk; ehl;fs; 365 ¼ ehl;fs; MFk;. ,JNt 1 nrsukhd Mz;lhFk;.
re;jpukhd Mz;L.
     re;jpud; xU khjj;jpw;F xUKiw G+kpiar; Rw;WfpwJ. MapDk;> G+kpapd; ,r; Rw;whdJ khWjpirapy; Rw;WtJNghy; fhl;rpaspf;fpwJ. G+kpiar; Rw;wptUk; re;jpudpd; xU Rw;whdJ xU re;jpukhd khjj;ij cUthf;FfpwJ. mkhthirapy; Muk;gkhFk; nrsukhd khjj;ijg; NghyNt re;jpukhd khjq;fSk; mNj ngaiug; ngWfpd;wd. nghJthf xU nrsukhd khjk; 30 Kjy; 31 ehl;fis msthff; nfhz;Ls;sJ. Mdhy; re;jpukhd ehl;fs; 29.5 ehl;fs; msT kl;LNk cs;sJ. 12 re;jpukhd khjq;;fs; nfhz;lJ 1 re;jpukhd Mz;lhFk;.;
rhtdkhd Mz;L :
     xU ehspd; #upa cjak; Kjy; mLj;jehs; #upa cjak; tiu cs;s fhyNk xUehshff; fzf;fplg;gl;L Mz;Lf;F 360 ehl;fisf; nfhz;lNj rhtkhd Mz;L vd miof;fg;gLfpwJ.
madq;fs; :
     madk; vd;why; top my;yJ ghij vd;gJ nghUshFk;. kfuj;jpypUe;J kpJdk; tiuahd 6 khjq;fs; cj;jpuhaz Gz;a fhykhFk;. ,J tlGw rha;nthL> njw;fpypUe;J tlf;fhf gazpf;Fk; #upaghijahFk;;. Fspu;fhyj; njhlf;fKk; MFk;.;. flfk; Kjy; jDR khjk; ;tiuapyhd 6 khjq;fs; jl;rpzhapd Gz;zpafhykhff; Fwpg;gplg;gLfpwJ.; ,J njw;F Gwkhf mire;J tlf;fpypUe;J njw;F Nehf;fp gazpf;Fk; #upaghijahFk;;. ,J Nfhil fhyj; njhlf;f khFk;.
UJf;fs; :
     gUtfhyf; fzf;fPLfs; - 6 gpupTfisf; nfhz;l epuhad #upa khjq;fshy; Vw;gLfpwJ. tre;jUJ>fpuP\;k>tu;\>ruj;>N`ke;j;j kw;Wk; rprpu UJf;fs; MFk;.
  madk;
  gUtfhyk; (UJf;fs;)
gUtfhymjp gjp
#upauhrpfs;
mjpgjpfs;
Fspu;fhyk;
(jl;rpzhazk;);
tu;\UJ
kiof;fhyk;
re;jpud;
flfk;(Mb)
rpk;kk;;  (Mtzp)
re;jpud;
#upad;;
ruj;UJ
,iyAjpu;fhyk;
Gjd;
fd;dp>(Gul;)
Jyhk;(Ig;)
Gjd;
N`ke;j UJ
Fspu;fhyk;
(Kd;gdpf;fhyk;)
FU
tpUr;rpfk; (fhu;j;jpif)
jDR(khu;fop)
nrt;tha;
FU;
Nfhilf;fhyk;
(cj;uhazk;)
rprpuUJ
Fspu;fhyk;
(gpd; gdpf;fhyk;)
rdp
kfuk;(ij)
Fk;gk;;(khrp)
rdp
rdp

tre;jUJ
,sNtdpw;fhyk;
Rf;fpud;
kPdk;>(gq;)
Nk\k;(rpj;)
FU
nrt;tha;
fpuP\;kUJ
Nfhilf;fhyk;

(KJNtdpw;;fhyk;)
nrt;tha;
#upad;;
up\gk;
(itfhrp)
kpJdk;.;(Mdp
Rf;fpud;;
Gjd;;.

;                        re;jpudpd; jPu;f;f Nuif --- #upadpd; jPu;f;fNuif
jpjpiaf;fhz #j;jpuk; : jpjp = -----------------------------------------------------
                                                                                              12      


;                             re;jpudpd; jPu;f;f Nuif --- #upadpd; jPu;f;fNuif
fuzj;ijf;fhz #j;jpuk; : fuzk; = --------------------------------------------------------                                     
                                                                                                6

fypAfhjp Kjy; ,ju Mz;Lfs; :
     fypAfk; Njhd;wpa ehs; Kjy; fypAfhjp Mz;L Muk;gkhfpwJ. ,J jkpohz;lhd rpj;jpiu Kjy;ehs; Kjy; Muk;gkhFk;. fypAfk; nkhj;jk; 4>32>000 Mz;LfshFk;.
rhypthfd rfhg;jk;:
     ,e;j tUlkhdJ khu;r; khjk; 22 k; Njjp Kjy; Muk;gkhFk;. yPg; tUlj;jpy; khu;r; 21 Kjy; njhlq;Fk;. ,JNt rf tUlKkhFk;.
     Mq;fpy Mz;L : [dtup 1 Kjy; njhlq;Fk; f;upNfhupad; Mz;L vd miof;fg;gLk; Mq;fpy Mz;lhFk;. cyfk; KOtJkhf filg;gpbf;fg;gl;L tUk; Mz;L ,JNtahk;.
     `p[;up Mz;L : ,];yhkpau;fs; filg;gpbf;Fk; Mz;L. KfkJegp nkf;fhtpypUe;J nkjpdhTf;Fr; nrd;w ehs; Kjy; fzf;fplg;gLk; Mz;L MFk;. ,J nghJthf khu;fop my;yJ ij khjq;fspy; tUk; mkhthirf;F %d;whtJ ehs; Jtq;Fk;. ,e;j Mz;bd; Kjy; ehNs nkhfuk; gz;bifahff; nfhz;lhlg;gLfpwJ. ,jd; nkhj;j ehl;fs; 354 kw;Wk; Kf;fhy; ehl;fshFk;. 12 khjg; ngau;fs; fPNo:
1.   nkhfuk;       5. [khj;Jy; mt;ty;    9. uk;[hd;.
2.   rgu;          6. [khj;Jy; MfPu;      10.\t;ty;
3.   ugpA+yhty;    7.  u[g;              11. Jy;fhapjh
4.   ugpAy; MfPu;;   8.  \hghd;            12.Jy;f[;.
     g]yp Mz;L : tl ,e;jpahtpy; mD\;bf;fg;gLk; Mz;L. ,ij cUthf;fpatu;fs; nkhfyha muru;fNsahtu;. ,J xt;nthU Mz;Lk; [{iy 1 Kjy; Muk;gkhFk;. epyk; njhlu;ghd ;tUtha;Jiwapdupd; midj;J tuptptfhuq;fSk; g]ypahz;il xl;bNa fzf;fplg;gLfpwJ.
     nfhy;ykhz;L : Nfushtpy; fp.gp. 854 k; Mz;L Kjy; ,e;j Mz;L fzf;fplg;gLfpwJ. #upad; rpk;kuhrpapw; gpuNtrpf;Fk; NghJ ,e;j Mz;L njhlq;FfpwJ. rpk;kkhjk; Kjy; flf khjk;tiu 12 khjq;fs; fzf;fplg;gLfpwJ.
     njYq;F tUlk; : gq;Fdp khjj;jpy; tUfpd;w mkhthirf;F kWehs; ,e;j tUlk; Muk;gkhfpd;wJ. Me;jpuh>fu;ehlfh>kfhuh\;buh Mfpa khepyq;fspy; tof;fj;jpy; cs;sJ. Rf;fpy gl;r gpujik Kjy; mkhthir tiu xU khjkhf vLj;Jf; nfhs;sg;gLfpwJ.;




 பஞ்சபட்சி


     xUtu; xU nray; nra;Ak; NghJ mr; nray; jkf;F rhjfkhf mika Ntz;Lnkdpy; mjw;F mD$ykhd Neuj;ijj; Nju;njLj;Jr; nra;jhy; ntw;wpfukhf mikAk;. ;;mjw;F fhf G[z;lu; vDk; rpj;ju; ngUkfdhu; ,e;j gQ;rgl;rp rh];jpuj;ij cyFf;F mspj;jhu;. njhopy; rpwf;fTk;>fhupa ntw;wpailaTk;>tof;F ntw;wp>fld; nfhLf;f>ngw>Gjpa Ntiyapy; Nru vd gQ;rgl;rp %ykhf rupahd ey;yNeuj;ij fzpj;J tho;f;ifapy; ntw;wpiaj;jOtyhk;.
gQ;rgl;rp vdg;gLk; -ty;Y}W>Me;ij>fhf;if>Nfhop kw;Wk; kapy; Mfpatw;Wf;F jpdrupj; njhopy;fs; -- 1. Cz; 2. eil 3.muR 4.J}f;fk; 5.rhT MFk;. ,itfspd; ehopiffs; Cz; -- 1 ehopif -30 tpdhbfs;> eil1 ehopif 15 tpdhbfs;> muR 2 ehopif> J}f;fk; -- 0 ehopif 45 tpdhbfs;> rhT 0 ehopif 30 tpdhbfs;.

   thu gQ;rgl;rp
      gl;rp
     vOj;J
gif gl;rp
QhapW>nrt;tha;
ty;Y}W
m -- M
Me;ij
jpq;fs;>Gjd;;
Me;ij
, -- <
fhfk;
tpahod;
fhf;if
c -- C
Nfhop
nts;sp
Nfhop
V V>I
kapy;
rdp
kapy;
X X>xs
ty;Y}W
;
     gpwe;j el;rj;jpuk;                                el;rj;jpu gl;rp
mRtdp>guzp>fhu;j;jpif>Nuhfpzp>kpUfrPuplk;.      ------------;        ty;Y}W.
jpUthjpiu>Gdu;G+rk;>G+rk;>Mapyak;>kfk;>G+uk.;     ------------;        Me;ij
cj;jpuk;>`];jk;>rpj;jpiu>Rthjp>tprhfk;.         -----------;         fhfk;;
mD\k;>Nfl;il>%yk;>G+uhlk;>cj;jpuhlk;;.         ---------         Nfhop
jpUNthzk;>mtpl;lk;>rjak;>G+ul;lhjp>cj;jpul;lhjp>Nutjp ---         kapy;.

    jd;Dila gl;rp cz;b vdg;gLk; Cz; kw;Wk; muR Mfpa gzpfis nra;Ak; ;fhyj;jpy; ew;fhupaq;fs; nra;tJ eyk;jUk;. eilapy; kj;jpk gyDk;>Japy; kw;Wk; rhtpy; Nenujpuhd gyd;fNs mikAk;.
    jd;Dila gl;rp>gLgl;rp vdf; Fwpg;gplg;gl;l  fpoikapy; ve;jr; nraiyAk; nra;jy; MfhJ.

gLgl;rpfs; :
fpoik         tsu;gpiw     Nja;gpiw

QhapW               Me;ij;            fhfk;;
jpq;fs;                fhfk;            Me;ij
nrt;tha;              Nfhop             ty;Y}W
Gjd;                 kapy;             kapy;
tpahod;              ty;Y}W            Nfhop
nts;sp               Me;ij            kapy;;
rdp                 ty;Y}W            Nfhop;;

                           EIADFGHKL:
thf;fpak; kw;Wk; jpUf;fzpj gQ;rhq;fk; vd;why; vd;d ?
     Ntjq;fis mbg;gilahff; nfhz;L>fpufepiyfs; cs;s gQ;rhq;fNk thf;fpag; gQ;rhq;fkhFk;. Rkhu; Kd;D}W Mz;LfSf;F Kd; thdpay; epGzu;fSk;>N[hjpl mwpQu;fSk;>Ntj rh];jpuq;fspy; mDkhdkhf fzpf;fg;gl;Ls;s fpuf epiyfspy;> eilKiwapy; rpy FiwghLfs; ,Ug;gjhf czu;e;jdu;. mjd; fhuzkhf mtu;fshy; jpUj;jg;gl;l etPd gQ;rhq;fNk jpUf;fzpj gQ;rhq;fkhFk;.
     thdpay; uPjpahf> ghuk;gupa Kiwia mbg;gilahff; nfhz;L>khWgl;l tUlq;fSf;Ff;fhd fpuf epiyfis nfhz;ljhf thf;fpag; gQ;rhq;fk; mike;Js;sJ. vdpDk; tf;fpufjpailAk; tre;jfhy rkfhyg; Gs;spfs; vDk; jj;JtKiwg;gb>etPd thdpay; Ma;Tfs; %ykhf fhzg;gLk;>cz;ikahd fpufepiyfSf;Fk;>thf;fpa Kiwf;Fk; fz;bg;ghf rpy NtWghLfs; cs;sd.
     jw;NghJ> mNef fw;wwpe;j N[hjplu;fs; rpj;jpu gl;r madhk;r Kiwapy; fzf;fplg;gLk; jpUf;fzpj gQ;rhq;fj;ijNa gad;gLj;Jfpd;wdu;. gy madhk;r Kiwfs; cs;sjhy; ,jpYk; mwpQu;fspilNa vJ rupahd madhk;rk; vd khWgl;l fUj;Jf;fs; epyTfpd;wd. MapDk; ngUk;ghyhd N[hjplu;fspilNa rpj;ugl;r madhk;rNk rpwe;jnjd;w fUj;J epyTfpwJ. ,e;jpa thdpaw;JiwAk;> rpj;ugl;r madhk;rj;ijf; nfhz;l gQ;rhq;fj;ij ntspapLfpwJ.
     jpUf;fzpj gQ;rhq;fj;jpy;>fpufepiyfs; kpfj; Jy;ypakhff; nfhLf;fg;gl;Ls;sijf; fhz;fpNwhk;. vdNt jw;NghJ gyu; [hjfk; fzpg;gjw;F jpUf;fzpj gQ;rhq;fj;ijNa cgNahfg;gLj;Jfpd;wdu;. jpUkz nghUj;jk; ghu;f;Fk; NghJ tJ>tudpd; [hjfq;fis xNu fzpj Kiwapy; [hjfk; fzpj;Nj xg;gPL nra;aNtz;Lk;. khk;goj;ij khk;goj;NjhLjhd xg;gpl Ntz;LNkad;wp> Mg;gpNshL my;y. ;;
     thf;fpag; gQ;rhq;fKk;>jpUf;fzpj gQ;rhq;fKk; xd;wy;y. gz;ila N[hjpl jPu;f;f juprpfshy; cUthf;fg;gl;lNj thf;fpag; gQ;rhq;fkhFk;. jw;fhy tpQ;Qhd mwpQu;fshy;; jpUj;jpaikf;fg;gl;l gQrhq;fNk jpUf;fzpj gQ;rhq;fk; vd ehk; czuNtz;Lk;.
Ntjfhyk; Kjy; fhyj;ijf; fzf;fpLk; Kiwfs; :
4 epkplq;fs;  1 mR.
6×4         24 mRf;fs;    1 tpehopifahFk;
60 tpehopif  1 ehopif (24 epkplk;)
60 ehopif   24 kzp NeukhFk;.
15 ehs;      1 gl;rk; (Rf;fpy gl;rk;>fpU\;z gl;rk;)
2 gl;rq;fs;   1 khjk;.
2 khjq;fs;   1 UJ.
6 khjq;fs;   1 madk;
2 madq;fs;  1 tUlk; (cj;jpuhazk;>jl;rpzhazk;)