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on) ,«Al–Far g’ oni y j adval l ar i »-qo’ l yozmasiPat nada( Hi ndi st on) ,«Oyni ngErost i da vaust i dabo’ l i shvaqt l ar i niani ql ashhaqi dar i sol a»- qo’ l yozmal ar io’ ot odavaQohi r ada,«Quyoshi ql i mnihi sobl ash haqi da»-qo’ l yozmal ar iHal abvaQohi r adasaql anadi .«Al- Xor azmi y“Zi j ”i ni ngnazar i yqar ashl ar i niasosl ash»asar i Ber uni yt omoni danesl at i l adi ,l eki nqo’ l yozmasit opi l magan. Far g’ oni yni ngnomiXor azmi ykabiShar qvaG’ ar bda mashhur di r .O’ r t aasr dat abi i y–i l mi ybi l i ml ar ni ngr i voj i gaul kan hi ssaqo’ shganol i m.O’ r t aOsi yol i kyanabi rbuyukol i ml ar dan bi r iXasr dayashaganmat emat i kvaast r onom AbulVaf o MuhammadBo’ zj oni ydi r( 940-998). Uni ngko’ pdanko’ p asar l ar i danbi zgachaet i bkel gani : 1)“Savdogarvakot i bl ar gaar i fmet i kasan’ at i danni mal ar zar ur l i gihaqi dagi ki t ob”; 2)“ Ќunar mandl ar gageomet r i kyasashdanni mal arzar ur l i gi haqi daki t ob”; 3)Ki t obial - komi l“; 4)XamdaXor azmi y,Evkl i d,Di of ant ,Pt ol omeyasar l ar i ga shar xl ar . 5)Taxmi nl ar gako’ r asonl ar dan3- , 4- , 7- dar aj al ii l di zchi qar i shni ochgan. 2- asar i11bobdani bor atbo’ l i b,I - bobdageomet r i kyasashl ar da zar urbo’ l gan chi zg’ i ch,t si r kul ьvago’ ni yakabiasbobl ar danf oydal ani shusul i vaahami yat iqar al adi .I I - bobdakesma,bur chakl ar nit eng bo’ l akl ar gabo’ l i sh,per pendi kul yarvapar al l elt o’ g’ r ichi zi ql ar ni yasash,ayl anagaur i nmao’ t kazi shvaayl ananit engbo’ l akl ar ga bo’ l i shyasashl ar nibaj ar adi .I I I - VIbobl ar damunt azam ko’ p bur chakl ar ,ayl anagai chkivat ashqif i gur al aryasashni.VI I - XI bobl ar dauchbur chakt o’ r t bur chakvasf er al ar nit eng bur chakl ar gabo’ l i shbayonet i l adi .Sf er agai chkichi zi l gan munt azam ko’ pyoql i kl ar niyasashyo’ l iko’ r sat i l adi3- asar i t r i gonomet r i yani ngmunt azam bayoni gabag’ i shl anadi .U bur chakyar i mi ni ngsi nusiuchunhar15Ida10- 8ani ql i kda j advalt uzadi .Ol t i t at r i gonomet r i k chi zi ql ar( sekansvakosekansavvalyo’ qedi )vaul aror asi dagi al gebr ai kmunosabat l ar nibi r l i kdoi r adako’ r sat adi . Uchi nchivat o’ r t i nchidar aj al it engl amal ar nio’ r ganadi . Xasr ni ngi kki nchiyar mi dayashabi j odet ganyanabi rbuyuk ol i mAbulMuqammadXami di bnal -Xi zrXo’ j andi y. Ast r onomi yagavasonl arnazar i yasi gadoi rko’ pr oqasaryozi b, bul ar danX3+U3=Z3ni ngbut unr at si onali l di ziyo’ qekanl i gi ni i sbot iahami yat gamol i kdi r( Fer maniki chi kt eor emasi )Shu davr dayashabi j odet ganAbuSahlVayj oni bnRust amal- Ko’ hi ysaql anganasar i“ Mukammalt si r kul ь”( “ f ibi r karat- t amm”)hozi r daar abchaqo’ lyozmasiLeydenuni ver si t et i da( 45 bet )saql anmoqda.I xt i yor i ydi amervaor di nat ekesmasibi l an chegar al anganpar abol aqi smi ni ngdi amet rat r ofi da ayl ani shi danhosi lbo’ l ganhaj mnihi sobl aydi( o’ yul ьdi n t eor emasi ) . X- XIasr l ar dayashaganmat emat i kvaast r onomAbuBakr Muhammadi bn XasanKar xi yal - Xosi bi y70bobdani bor at«g` i sobf ani danet ar l i ki t ob»( “ Ki t obal kofifi l - hi sob“)asar i .Buki t obni ngal gebr a qi smiBog’ dodhal i fasiFahral - Mul k( 1017- yi l dao’ l gan) ga bag’ i shl anganbo’ l i b,u“ Al - Faxr i y”debat al adi .Buki t obdaKar xi y o’ zi danol di ngiol i ml ar ni ngi shl ar i nidavomet t i r adiva r i voj l ant i r adi . 1)Ol t it i pdaginor malkvadr att engl amal ar niechi shnigeomet r i k i sbot si z ko’ r sat adi ; 2)Dar aj ahaqi dagit ushunchaniumuml asht i r i b( Xor azmi yda1- va2- dar aj a edi )i st al gandar aj anit uzi shnibayonet adi .Ms.x3- kub( ka’ b) ,x4 - kvadr at u- kvadr at ( mol - al - mol ) ,x5- kvadr at u- kub( mol - al - ka’ b) . . .So’ ngr abu dar aj al aror asi da 1: x=x: x2=x2: x3=. . .pr opor t si yat uzi shmumki ndeydi ; 3)Kvadr att engl amagakel t i r i l adi gant engl amal ar ni : ax2n+vxn=c,ax2n+c=vxn, vxn+c=ax2n,ax2n+m=vxn+m+cxm ; 4)12+22+. . .+n2=2n+1/3 ( 1+2+. . . +n) ,13+23+. . . +n3=( 1+2+. . . +n) 2geomet r i kusul da i sbot l aydi ; 5)x5+5=u2,x2- 10=u2t engl amal ar niu=x+1vau=x- 1debol i b, but unechi ml ar i nit opadi . Shar qni ngbuyukal l omal ar i danAbuAl ial - Xusayni bnSi no( 980 - 1027) .U 200gayaqi nasaryozganbo’ l i b,bul ar dankamqi smibi zgacha et i bkel gan.Mashxurasar l ar i dan:“Ti bqonunl ar iki t obi ”( “ Ki t ob ash- shi f o”) ,“Naj otki t obi“ (“Ki t obannaj ot“) ,“Bi l i mki t obi “( “Doni shnoma”) . Ar i Download 335.73 Kb. Do'stlaringiz bilan baham: |
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