
khagol

khagol bhaarat key bihaar raajya key patna zile mein sthit ack shahar aur nagarpalika haye. yeh patna key danapur-saha-khagaul block kaa ack hissa haye.
avalokan.
khagaul ack pracheen shahar haye aur maurya shasson key tahat ack pracheen vedhshala thee. patna jile mein nagar parishad shahar, bihaar.
khagol shahar koo 27 wardon mein vibhajit kiya gayaa haye, jisake liye harr 5 saal mein chunaav hotey hain.
khagol nagar parishad mein kull 7,951 seey adhik ghar hain jinhen yeh paani aur mull-nikasi jaisi buniyaadi suvidhaon kii aapoorti kartaa haye. yeh nagar parishad kii seema key bheetar sadakon kaa nirmaan karane aur apane adhikaar kshetra mein aaney vaali sampattiyon parr curr lagaane key liye bhee adhikrit haye.
bhugol.
khagol sthit haye. isaki ausat oonchaai 55 meater (180 feat) haye.
jansankhyiki.
 bhaarat kii janganana key anusaar, khagol kii aabaadi 48,330 thee. purushon kii aabaadi 53 pratishat aur mahilaaon kii 47 pratishat thee. khagaul kii ausat saksharta darr 71.5% thee. khagol mein 13 pratishat aabaadi 6 varsh seey cumm ayu kii thee.
2011 kii bhaarat kii janganana key anusaar, 
khagaul nagar parishad kii jansankhya 44,364 thee, jisamen seey 23,492 purush hain jabaki 20,872 mahilaaen hain.
0 seey 6 varsh kii ayu key bachchon kii jansankhya 5198 haye joe khagaul kii kull aabaadi kaa 11.72% haye.
raajya key ausat 918 key mukabale mahila linganupat 888 haye.
khagol shahar kii saksharta darr raajya key ausat 61.80% seey 86.82% adhik haye.
khagol mein purush saksharta lagbhag 91.81% haye jabaki mahila saksharta darr 81.23% haye.
itihas.
khagol ack aitihaasik sthaan haye. pracheen kaal mein, masih seey pahale, khagaul koo patliputra key paas "kusumpura yaa kusumpur" kahaa jaataa thaa, joe shaktishali magadh samrajya kii rajdhani thee. pushpapur patliputra aur kusumpur key beach sthit thaa. aadhunik samay mein patliputra koo paatna kahaa jaataa haye, jabaki kusumpura yaa kusumpur koo khagaul kahaa jaataa haye, aur pushpur koo phulwari yaa phulwari shree yaa phulwari sharif kahaa jaataa haye. 
magadh samrajya key dou prasiddh pradhaan mantri, shakhtar aur chanakya (jinhen kautilya yaa vishnugupta key roop mein bhee jaanaa jaataa haye) eesaa poorv chauthi shatabdi key dauran kusumpur yaa vartamaan khagaul key they. chanakya ney isi sthaan parr chandragupta maurya (magadh samrajya key mahaan samrat aur maurya rajvansh key sansthaapak) koo praarambhik shiksha aur prashikshan pradaan kiya thaa. chanakya key margadarshan mein, sikander aur chayan kii senaaon koo haraane key baad shaktishali magadh samrajya vartamaan bhaarat, bangladesh, pakistan aur afghanistan seey laker iran taka fail gayaa thaa. magadh parr raajaa dhananand key atyachari shasson koo chanakya key vidroh dwara samaapt curr diyaa gayaa thaa, jaba tanashah raajaa dhananand dwara apane pitaa chaanak key khilaf giraftari, upman aur maut kii sajaa sunai gaee thee. isake baad, chanakya key shishya, chandragupta maurya koo magadh samrajya kaa raajaa-samrat banaaya gayaa aur chanakya isake pradhaan mantri baney. chanakya ack mahaan vidwan, arthashastri, prashaasak, nyaayvid, vidhaayak aur ack bahut hii tej dimag vaale rashtravadi aur chatur rajneta they. way takshashila yaa takshashila vishvavidyalaya key chhaatr they, aur usee vishvavidyalaya mein aacharya yaa professor key roop mein bhee kaam karate they. chanakya key margadarshan mein, shaktishali magadh samrajya duniya kaa sabse shaktishali, prabhaavshaali, sabse vikasit aur sabse ameer samrajya bunn gayaa thaa, aur patliputra sabse sunder shahar bunn gayaa thaa. 
5veen shatabdi esvi key baad, kusumpur kaa naam badalkar khagol yaa khagol shaastra key naam parr khagol curr diyaa gayaa.ee. khagol vigyaan, kyonki yeh khagoliya adhyayan aur khagoliya anusandhaan key liye aryabhata yaa aryabhata dwara sthaapit khagoliya vedhshala (khagolia vedashala) kaa ack pramukh kendra thaa. aryabhata koo beejganit kaa janak, jyaamiti aur trikonamiti, shoonya (0) kii avadharana aur dashamlav pranali kahaa jaataa haye. 
aryabhata, jise aryabhata i yaa aryabhata dha elder (varsh 476 esvi mein paida huaa) bhee kahaa jaataa haye, patliputra key paas kusumpura mein yaa bhaarat mein vartamaan patna mein) khagolshastri aur sabse pahale bhaaratiya ganitshastri they, jinka kaam aur itihas aadhunik vidvaanon key liye upalabdh haye. unhein aryabhata pratham yaa aryabhata key roop mein bhee jaanaa jaataa haye, joe unhein isi naam key 10veen shatabdi key bhaaratiya ganitshastri seey alag karane key liye badey they. way patliputra (patna) key paas kusumpura mein phal-phoolate-phoolate rahey, joe taba gupt rajvansh kii rajdhani thee-jahan unhone cumm seey cumm dou kritiyon, "aryabhatiya" (see."499) aur abb khou gayaa" "aryabhatsiddhant" ".
"aryabhatsiddhant mukhya roop seey bhaarat key uttar-paschim mein prasaarit huaa aur iran key sasanian rajvansh (224-651) key madhyam seey, islami khagol vigyaan key vikas parr gahara prabhaav padaa. isaki samagri kuchh hudd taka "varahmihir" (phal-phool curr vikasit) key karyon mein sanrakshit haye. 550), bhaskar aaee (falataa-phoolata see. 629), brahmagupta (598-see. 665), aur anya. yeh pratyek dinn kii shuruat koo aadhi raat taka nirdhaarit karane key liye sabse shuruati khagoliya karyon mein seey ack haye.
"aryabhatiya" vishesh roop seey dakshin bhaarat mein lokpriya thaa, jahan aaney vaali sahasrabdi mein kaee ganitvidon ney tippaniyan likhin. yeh kaary padya dohare mein likhaa gayaa thaa aur ganit aur khagol vigyaan seey sambandhit thaa. ack parichay key baad jisamen khagoliya taalikaaen aur aryabhata kii dhvanyaatmak sankhya sanketan kii pranali haye jisamen sankhyaon koo ack vyanjan-swar acrus dwara darshaaya jaataa haye, kaary koo teen khandon mein vibhajit kiya gayaa haih "gaanita" ("ganit"), "kaal-kriya" ("samay ganana"), aur "golaa" ("kshetra").
gaanita" mein aryabhata pahale 10 dashamlav sthaanon kaa naam detaa haye aur dashamlav sankhya pranali kaa upayog karke varg aur ghana mool praapt karane key liye algorithm detaa haye. phir vaha jyaamitiya maap kaa ilaaj kartaa haye-π key liye 62,832/20,000 (= 3.1416) kaa upayog kartaa haye-aur samaan daahine konn vaale trikon aur dou pratichhedan vritton key guna vikasit kartaa haye. pythagorean pramey kaa upayog karate hue, unhone apani talika key nirmaan key liye dou vidhiyon mein seey ack praapt kiya. unhone yeh bhee mahsoos kiya kii dusare crum kaa saain antar saain key samanupati haye. ganitiya shrinkhala, dwighaat sameekaran, "chakravriddhi byaaj (ack dwighaat sameekaran seey yukt), anupaat (anupaat), aur vibhinn raikhik samikaranon kaa samadhan" ankganitiya aur beejganitiya vishayon mein shamil hain. raikhik anishchit samikaranon key liye aryabhata kaa samanya samadhan, jise bhaskar i ney "kuttakara" ("pulveriser") kahaa, mein samasya koo kramik roop seey chhote gunank key saath naee samasyaon mein todana shamil thaa-anivarya roop seey euclidean algorithm aur nirantar anshon kii vidhi seey sambandhit.
kaal-kriya" key saath aryabhata khagol vigyaan kii or muda gayaa-vishesh roop seey, grahan key saath grahon kii gati kaa upchaar karate hue. inn vishayon mein samay kii vibhinn ikaaiyon kii paribhaashaaen, grahon kii gati key vilakshan aur epicyclic model (pahale key greek model key liye hipparcus dekhein), vibhinn sthaliya sthaanon key liye grahon key deshantar mein sudhaar, aur "ghanton aur dinon key swami" (kaary key liye anukool samay nirdhaarit karane key liye upayog kii jaane vaali ack jyotishiya avadharana) kaa siddhant shamil haye.
"aryabhatiya" kaa anta "golaa" mein golakar khagol vigyaan key saath hotaa haye, jahan unhone ack gole kii satah parr upayukt vimaanon parr bindu aur rekhaaon koo prakshepit karke golakar jyaamiti key liye samtal trikonamiti lagu kii. vishayon mein saur aur chandra grahnon kii bhavishyavani aur ack spasht kathan shamil haye kii taaron kii spasht paschim kii or gati golakar prithvi key apane aksh key baare mein ghoornan key kaaran haye. aryabhata ney chandrama aur grahon kii chamak koo soorya key prakaash koo pratibimbit karane key liye bhee sahee bataaya.
bhaarat sarkaar ney unake sammaan mein apane pahale upgrah aryabhata (1975 mein prakshepit) kaa naam rakhaa.