Perbezaan antara semakan "Aryabhata"

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=== Aryabhatiya ===
 
DirectOleh detailsitu, ofperincian Aryabhata'slangsung workkarya areAryabhata thereforehanya knowndiketahui only from thedari ''[[Aryabhatiya]]''.
The nameNama "Aryabhatiya" isadalah duekerana topengulas later commentatorskemudian. Aryabhata himself may not havesendiri givenmungkin ittidak amemberikan namenamanya. His discipleMuridnya [[Bhaskara I]] calls itmenyebutnya ''Ashmakatantra'' (oratau therisalah treatise from thedari Ashmaka). It is also occasionallyKadang-kadang referredjuga todisebut assebagai ''Arya-shatas-aShTa'' (literallysecara harfiah, 108 Aryabhata's 108), because therekerana areada 108 versesayat indalam the textteks. ItIni isditulis writtendalam ingaya theyang verysangat tersetipikal stylekhas typicaldari ofsastra [[sutra]] literature, indi whichmana eachsetiap linebaris isadalah anbantuan aidingatan tountuk memorysistem foryang akompleks. complexOleh system. Thusitu, thepenjelasan explicationmakna ofadalah meaningdisebabkan isoleh due to commentatorspengulas. The textTeks consistsini ofterdiri thedari 108 versesayat anddan 13 introductoryayat versespengantar, anddan isdibahagikan dividedkepada into fourempat ''pāda''s oratau chaptersbab:
 
# ''Gitikapada'': (13 versesayat): largeunit unitswaktu ofyang time—besar—''kalpa'', ''manvantra'', anddan ''yuga''—which—yang menyajikan presentkosmologi ayang cosmologyberbeza differentdari fromteks earliersebelumnya texts such as Lagadha'sseperti ''[[Vedanga Jyotisha]]'' Lagadha (ca.sekitar 1stabad centuryke-1 BCESM). ThereAda isjuga alsotabel a table of sinessinus (''jya''), givenyang indiberikan adalam singlesatu verseayat. TheTempoh durationrevolusi ofplanet the planetary revolutions during asemasa ''mahayuga'' is given asadalah 4.32 millionjuta yearstahun.
# ''Ganitapada'' (33 versesayat): coveringmeliputi mensurationmensurasi (''kṣetra vyāvahāra''), arithmetickemajuan andaritmetik geometricdan progressionsgeometri, [[gnomon]] / shadowsbayang-bayang (''shanku''-''chhAyA''), simplesederhana, [[quadraticpersamaan equationskuadratik|quadratickuadratik]], [[simultaneouspersamaan equationsserentak|simultaneousserentak]], anddan [[diophantinepersamaan equationsdiophantine|indeterminatetidak tentu]] equationspersamaan (''kuTTaka'')
# ''Kalakriyapada'' (25 versesayat): differentunit unitswaktu ofdan timekaedah andyang aberbeza methoduntuk formenentukan kedudukan determiningplanet theuntuk positionshari of planets for a given daytertentu, calculationsperhitungan concerningmengenai thebulan intercalary monthinterkala (''adhikamAsa''), ''kShaya-tithi''s, anddan aseminggu seven-daytujuh weekhari withdengan namesnama foruntuk thehari daysdalam of weekseminggu.
# ''Golapada'' (50 versesayat): GeometricAspek geometri / [[trigonometrictrigonometri]] aspects of thedari [[celestial spherecakerawala]], features of theciri-ciri [[eclipticekliptik]], [[celestialkhatulistiwa equatorcakerawala]], nodesimpul, shapebentuk of the earthbumi, cause ofpenyebab daysiang anddan nightmalam, rising ofkenaikan [[zodiacaltanda signzodiak]]s ondi horizoncakrawala, etcdll. InSelain additionitu, somebeberapa versionsversi citememetik a fewbeberapa [[colophonkolofon (publishingpenerbitan)|colophonskolofon]] addedyang atditambahkan thepada endakhir, extollingmemuji thekebajikan virtueskarya, ofdan the work, etclain-lain.
 
The Aryabhatiya presentedmenyampaikan asejumlah numberinovasi ofdalam innovationsmatematik indan mathematicsastronomi anddalam astronomybentuk in verse formayat, whichyang wereberpengaruh influentialselama for many centuriesberabad-abad. TheRingkas extremeteks brevityini ofdijelaskan thedalam textulasan wasoleh elaborated in commentaries by his disciplemuridnya [[Bhaskara I]] (''Bhashya'', ca.sekitar 600 CEM) anddan byoleh [[Nilakantha Somayaji]] indalam hisbukunya ''Aryabhatiya Bhasya,'' (1465 CEM).
 
== Matematik ==
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