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Page 1: 8.628 11 - kopykitab.com xf.r lw(oSfnd` xf.r lw( gekjs ^kphu osnkÍ ls ^kIr xf.rh; x.uk d`h ijEijk d`k ,d` vax gS\ tc xf.rh; x.u d`jus ds` f¥, gekjs ikl u rks dS`Ydq`¥sVj
Page 2: 8.628 11 - kopykitab.com xf.r lw(oSfnd` xf.r lw( gekjs ^kphu osnkÍ ls ^kIr xf.rh; x.uk d`h ijEijk d`k ,d` vax gS\ tc xf.rh; x.u d`jus ds` f¥, gekjs ikl u rks dS`Ydq`¥sVj

¥s[d`MkW\ vk¥ksd` dq`ekj

mid`kj ^d`kæu] vkxjk-2

uoksn; fo»k¥;fnXnfæZd`kgekjs )`f";kÍ kjk izfrikfnr

xf.r lw( tksfd` vkid`hx.uk kerkvkÍ eÍ o~f* d`jÍxs

Page 3: 8.628 11 - kopykitab.com xf.r lw(oSfnd` xf.r lw( gekjs ^kphu osnkÍ ls ^kIr xf.rh; x.uk d`h ijEijk d`k ,d` vax gS\ tc xf.rh; x.u d`jus ds` f¥, gekjs ikl u rks dS`Ydq`¥sVj

©©©© izd`kæd`

izd`kæd`mid`kj ^d`kæu(An ISO 9001 : 2000 Company)

2/11 ,] Lonsæh chek uxj ·ækg flusek ds` lkeus‚] vkxjk–282 002√ksu : 4053333, 2530966, 2531101; √SDl # (0562) 4053330, 4031570E-mail : [email protected] : www.upkar.in

czkap vkWfœ`l4845, vUlkjh jksM] nfj;kxat]ubZ fnY¥h%110 002œ`ksu # 011–23251844/66

1-8-1/B, vkj\ vkj\ d`kWEI¥sDl·lqUnjS;k ikdZ` ds` ikl] eulk ,UD¥so xsVds` cx¥ eÍ‚] ckx f¥axeiY¥h]gSnjkckn%500 044 ·vk\ iz\‚œ`ksu # 040–66753330

ihjeksguh pkSd`]d`nedq`vk∑iVuk%800 003eks\ # 9334137572

bl iqLrd` d`ks izd`kfær d`jus eÍ izd`kæd` kjk iw.Z lko|kuh cjrh xbZ gS] fœ`jHh fd`lh (qfV ds` f¥, izd`kæd` ftEesnkj ugÓ gksxk\

bl iqLrd` d`ks vFkok blds` fd`lh vaæ d`ks fcuk izd`kæd` d`h f¥f[r vuqefrds`] fd`lh Hh Ôi%œ`ksVksxzkœ`h] fo»qr-xzkfœ`d`] ;kfU(d`h vFkok vU; Ôi eÍfd`lh Hh izd`kj ls mi;ksx ds` f¥,] ugÓ Nkik tk ld`rk gS\

fd`lh Hh ifjokn ds` f¥, U;kf;d` ks( ds`o¥ vkxjk gh gksxk\

ISBN : 978-93-5013-332-3

ewY; # 45·00 ek((Rs. Forty Five Only)

Code No. 540

eqnzd` # mid`kj ^d`kæu ·f^afVax ;wfuV‚ ckbZ-ikl] vkxjk

Page 4: 8.628 11 - kopykitab.com xf.r lw(oSfnd` xf.r lw( gekjs ^kphu osnkÍ ls ^kIr xf.rh; x.uk d`h ijEijk d`k ,d` vax gS\ tc xf.rh; x.u d`jus ds` f¥, gekjs ikl u rks dS`Ydq`¥sVj

fo";–lwph

oSfnd` xf.r lw(………………………………….………… 3–4 oSfnd` lw( # vad`xf.rh; x.ukvkÍ eÍ…………………… 5–57

1. ,d`kf|ds`u iwosZ.…………………………………………. 6

2. fuf[¥a uor'pjea nær#………………………………… 9

3. ijkoR;Z ;kst;srΩ…………………………………………. 11

4. ,d`U;wusu iwosZ.………………….………………………. 19

5. vkUR;ksnZæds`Òfi ………………………………………… 21

6. ;konwueΩ ………………….……………………………. 23

7. ˜÷oZfr;ZX˙;keΩ…………..……………………………… 26

8. O;fÆV-lefÆV …………………………………………… 53

9. xq.d` leqPp;# leqPp; xq.d`#`…………………………... 55

oSfnd` lw( # tks cukrs gß vklku chtxf.r d`ks……….. 59–78

10. ijkoR;Z ;kst;srΩ……..…………………………………… 61

11. lksikUR;;eUR;eΩ………………………………………… 62

12. iwj.kiwj.k˙;ka….………..………………………………. 63

13. vkuqÔI;s æwU;avU;rΩ…………..…………………………. 65

14. lad`¥u O;od`¥uk˙;keΩ…………………………..………. 67

15. vk»ek»sukUR;eUR;su……………………………………… 69

16. vUR;;ksjso…………..………..…………………………. 71

17. ¥ksiaLFkkiuk˙;keΩ…………..….…………………………. 73

18. xqf.r leqPp;# leqPp; xqf.r#…………………………… 74

19. æwU;a lkE; leqPp;s……………………………………… 76

Page 5: 8.628 11 - kopykitab.com xf.r lw(oSfnd` xf.r lw( gekjs ^kphu osnkÍ ls ^kIr xf.rh; x.uk d`h ijEijk d`k ,d` vax gS\ tc xf.rh; x.u d`jus ds` f¥, gekjs ikl u rks dS`Ydq`¥sVj

oSfnd` xf.r lw(

Page 6: 8.628 11 - kopykitab.com xf.r lw(oSfnd` xf.r lw( gekjs ^kphu osnkÍ ls ^kIr xf.rh; x.uk d`h ijEijk d`k ,d` vax gS\ tc xf.rh; x.u d`jus ds` f¥, gekjs ikl u rks dS`Ydq`¥sVj

Ax.s'k = x. + bZ'k(Ganesh) (Gana) (ish)

xf.r = x. + brΩ(Ganit) (Gana) (it)

x. d`k vFkZ gS] vad`\

x.s'k—vad`kÍ ds` nso] ftud`h vuqd`Eik ls ,d` fo»kFkhZ] xf.r eÍ ;ksX;rkikrk gS vkSj vad`kÍ ls ^;ksx d`jrk gS\

Page 7: 8.628 11 - kopykitab.com xf.r lw(oSfnd` xf.r lw( gekjs ^kphu osnkÍ ls ^kIr xf.rh; x.uk d`h ijEijk d`k ,d` vax gS\ tc xf.rh; x.u d`jus ds` f¥, gekjs ikl u rks dS`Ydq`¥sVj

oSfnd` xf.r lw(oSfnd` xf.r lw( gekjs ^kphu osnkÍ ls ^kIr xf.rh; x.uk d`h ijEijk

d`k ,d` vax gS\ tc xf.rh; x.u d`jus ds` f¥, gekjs ikl u rks dS`Ydq`¥sVjFks vkSj u gh d`EI;wVj] rc x.ukvkÍ d`ks rsth ls d`jus ds` f¥, gekjs )`f";kÍkjk bu xf.r lw(kÍ d`k mi;ksx fd`;k tkrk Fkk\ ;g xf.r lw( gß rks NksVsijUrq bud`h O;k“;k d`kœ`h fo'oLrjh; gS vkSj bud`k mi;ksx xf.rh;x.ukvkÍ eÍ fofHUu ^d`kj ls fd`;k tkrk gS\ ;g oSfnd` lw( u ds`o¥ gekjhx.uk d`jus d`h kerk d`ks c<Èkrs gß lkFk gh lkFk ;g geÍ xf.r o chtxf.rd`h leL;kvkÍ d`ks g¥ d`jus d`k ,d` u;k n~fÆVd`ks. Hh nsrk gS\ ;gk∑ ge ftuoSfnd` lw(kÍ d`k mi;ksx d`j jgs gß\ mUgÍ nks Jsf.;kÍ eÍ ck∑Vk x;k gS # oSfnd`lw( vad`xf.rh; d`h x.ukÍ eÍ vkSj oSfnd` lw( chtxf.rh; x.ukvkÍ eÍ\

vad`xf.rh; x.ukvkÍ eÍ mi;ksxh oSfnd` xf.r lw(\

,d`kf|ds`u iwosZ. (Ek–adhikena P–urvena)ig¥s ls ,d` vf|d`\

fuf[¥a uor'pjea n'kr# (Nikhilam Navatas'caramam Das'atah)vkf[jh 10 ls ckd`h 9 ls\

˜÷oZfr;ZX˙;keΩ (~Urdhva–tiryagbhya

~m)

˜÷oZ o f(;d`\

;konwueΩ (Y–avad–unam)/tks Hh iwjd` gS\

ijkoR;Z ;kst;srΩ (Par–avartya Yojayet)/ikkUrj. o lek;kstu\

,d`U;wusu iwosZ. (Ekany–unena P–urvena)/ig¥s ls ,d` d`e 10 gS\

vkUR;ksnZ'kds`Òfi (Antyayordas'ake'pi)/tc vfUre vad`kÍ d`k ;ksx\

O;fÆV-lefÆV (Vyasti-Samasti)/O;fÆVr vkSj leLr\

xq.d` leqPp;# leqPp;# xq.d` (Gunakasamuccaya samuccaya-gunaka)/leqPp; ds` inkÍ d`k ;ksx] inkÍ ds` xq.k ds` cjkcj gS\

chtxf.rh; x.ukvkÍ eÍ mi;ksxh oSfnd` xf.r lw(

ijkoR;Z ;kst;srΩ (Par–avartya Yojayet)ikkUrj. o lek;kstu

Page 8: 8.628 11 - kopykitab.com xf.r lw(oSfnd` xf.r lw( gekjs ^kphu osnkÍ ls ^kIr xf.rh; x.uk d`h ijEijk d`k ,d` vax gS\ tc xf.rh; x.u d`jus ds` f¥, gekjs ikl u rks dS`Ydq`¥sVj

4 | oSfnd` xf.r

lksikUR;;eUR;eΩ (Sop–antyadvayamantyam)/vfUre o mllsig¥s d`k nksxquk\

iwj.kiwj.k˙;ka (P–uranaap–urn–abhy–am)/iw.Zrk o viw.Zrk ls\

vkuqÔI;s 'kwU;avU;rΩ (–Anur–upye S–unyamanyat)/;fn ,d` vuqikr

eÍ gß rks nwljk 'kwU; gksxk\

lad`¥u O;od`¥uk˙;keΩ (Sankalana Vyavakalan–abhyam)/tksMÈuko ?Vkuk\

vk»ek»sukUR;eUR;su (–Adyam–adyen–antyamantyena)/ig¥s ls

ig¥k] vfUre ls vfUre\ vUR;;ksjso (Antyayoreva)/·vfUre in ls‚\

¥ksiaLFkkiuk˙;keΩ (Lopanasth–apan–abhyam)/inkÍ d`ks gVk d`j o NksMÈd`j

xqf.r leqPp;# leqPp; xqf.r(Gunitasamuccayah Samuccayagunitah)inkÍ d`k ;ksx inkÍ ds` ;ksx ds` xq.k ds` cjkcj\

'kwU;a lkE; leqPp;s (Sunyam S–amyasamuccaye)tc d`ksbZ O;atd` leku gS rks o O;atd` 'kwU; gS\

Page 9: 8.628 11 - kopykitab.com xf.r lw(oSfnd` xf.r lw( gekjs ^kphu osnkÍ ls ^kIr xf.rh; x.uk d`h ijEijk d`k ,d` vax gS\ tc xf.rh; x.u d`jus ds` f¥, gekjs ikl u rks dS`Ydq`¥sVj

oSfnd`` lw(

vad`xf.rh; x.ukvkÍ eÍ

;gk∑ ij ge oSfnd` lw(kÍ d`h O;k“;k d`jÍxs o mud`k vFkZ D;k gS bls le>Íxs\

oSfnd` lw(kÍ d`k mi;ksx fd`l ^d`kj xq.k] oxZ] Hkx] ?u vkfn eÍ fd`;ktkrk gS\ bl ^fdz`;k d`ks Hh le>Íxs\

Page 10: 8.628 11 - kopykitab.com xf.r lw(oSfnd` xf.r lw( gekjs ^kphu osnkÍ ls ^kIr xf.rh; x.uk d`h ijEijk d`k ,d` vax gS\ tc xf.rh; x.u d`jus ds` f¥, gekjs ikl u rks dS`Ydq`¥sVj

,d`kf|ds`u iwosZ.fgUnh vuqokn # ig¥s ls ,d` T;knk\

xf.rh; vFkZ # vx¥h la“;k d`ks ikus ds f¥, ig¥h eÍ ,d` tksMÈÍ\

mnkgj. #

2 ikus ds` f¥,« 1 eÍ 1 tksMÈÍ« (1 + 1) = 2

3 ikus ds` f¥,« 2 eÍ 1 tksMÈÍ« (2 + 1) = 3

4 ikus ds` f¥,« 3 eÍ 1 tksMÈÍ« (3 + 1) = 4

5 ikus ds` f¥,« 4 eÍ 1 tksMÈÍ« (4 + 1) = 5

6 ikus ds` f¥,« 5 eÍ 1 tksMÈÍ« (5 + 1) = 6

7 ikus ds` f¥,« 6 eÍ 1 tksMÈÍ« (6 + 1) = 7

8 ikus ds` f¥,« 7 eÍ 1 tksMÈÍ« (7 + 1) = 8

9 ikus ds` f¥,« 8 eÍ 1 tksMÈÍ« (8 + 1) = 9

mnkgj. # 6, 7, 20, 25 ds` f¥, dz`e'k# vx¥h la“;k f¥[Í\

6 ls vx¥k vad` gS (6 + 1) = 7

7 ls vx¥k vad` gS (7 + 1) = 8

20 ls vx¥k vad` gS (20 + 1) = 21

25 ls vx¥k vad` gS (25 + 1) = 26.

Page 11: 8.628 11 - kopykitab.com xf.r lw(oSfnd` xf.r lw( gekjs ^kphu osnkÍ ls ^kIr xf.rh; x.uk d`h ijEijk d`k ,d` vax gS\ tc xf.rh; x.u d`jus ds` f¥, gekjs ikl u rks dS`Ydq`¥sVj

Vedic mathematics formula

Publisher : Upkar Prakashan ISBN : 9789350133323 Author : Dr.Alok Kumar

Type the URL : http://www.kopykitab.com/product/4229

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