Perbezaan antara semakan "Aryabhata"

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== Karya ==
 
Aryabhata isadalah thepengarang authorbeberapa ofrisalah several treatises onmengenai [[mathematicsmatematik]] anddan [[astronomyastronomi]], somebeberapa ofdi whichantaranya are losthilang.
Karya utamanya, ''Aryabhatiya'', sebuah kompendium matematik dan astronomi, banyak disebut dalam kesusasteraan matematik India dan telah bertahan hingga ke zaman moden. Bahagian matematik ''Aryabhatiya'' merangkumi aritmetik, aljabar, trigonometri satah, dan trigonometri sfera. Ini juga berisi [[pecahan]], [[persamaan kuadratik]], siri jumlah kuasa, dan jadual [[sinus]].
His major work, ''Aryabhatiya'', a compendium of mathematics and astronomy, was extensively referred to in the Indian mathematical literature and has survived to modern times. The mathematical part of the ''Aryabhatiya'' covers arithmetic, algebra, plane trigonometry, and spherical trigonometry. It also contains continued [[fraction]]s, [[quadratic equation]]s, sums-of-power series, and a table of [[sine]]s.
 
The ''Arya-siddhanta'', akarya lostyang workhilang ondalam astronomicalperhitungan computationsastronomi, isdiketahui knownmelalui through the writings oftulisan-tulisan Aryabhata's contemporarysezaman, [[Varahamihira]], anddan laterahli mathematiciansmatematik anddan commentatorspengulas kemudian, includingtermasuk [[Brahmagupta]] anddan [[Bhaskara I]]. Karya Thisini worknampaknya appearsberdasarkan to be based on the olderpada [[Surya Siddhanta]] andyang useslebih thetua midnight-daydan menggunakan perhitungan tengah reckoningmalam, asbertentangan opposeddengan tomatahari sunriseterbit indi ''Aryabhatiya''. ItIni alsojuga containedberisi aketerangan descriptiontentang ofbeberapa severalinstrumen astronomical instrumentsastronomi: the [[gnomon]] (''shanku-yantra''), ainstrumen shadow instrumentbayangan (''chhAyA-yantra''), possiblymungkin angle-measuringalat pengukur devicessudut, semicircularsetengah andlingkaran circulardan bulat (''dhanur-yantra'' / ''chakra-yantra''), atongkat cylindrical sticksilinder ''yasti-yantra'', analat umbrella-shapedberbentuk devicepayung calledyang thedisebut ''chhatra-yantra'', anddan [[waterjam clockair]]s ofsekurang-kurangnya atdua leastjenis, twoberbentuk types, bow-shapedbusur anddan cylindricalsilinder.<ref name = Ansari/>
 
ATeks third textketiga, whichyang maymungkin havebertahan surviveddalam in theterjemahan [[Arabicbahasa language|ArabicArab]] translation, isadalah ''Al ntf'' oratau ''Al-nanf''. ItIa claimsmendakwa thatbahawa itia isadalah aterjemahan translation byoleh Aryabhata, buttetapi thenama Sanskrit namekarya ofini thistidak work is not knowndiketahui.
ProbablyMungkin datingberasal fromdari theabad 9th centuryke-9, it is mentionedia bydisebut theoleh Persiansarjana scholarParsi anddan chroniclerpenulis ofsejarah India, [[Abū Rayhān al-Bīrūnī]].<ref name = Ansari/>
 
=== Aryabhatiya ===
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