dantkatheche teen-chauras pramey

ganitat, dantkatheche teen-varg pramey asey sangate qee naisargik sankhya purnankanchya teen varganchi berries mhanoon darshavili jaau shakate
jarr aanee keval jarr teey sootra _ 2 chey naslyas, nakaratmak nasalelya purnankansathi aanee.
teen varganchi berries mhanoon vyakt karata naan yenari pahili sankhya (i.eae. sootra _ 2 mhanoon vyakt kelya jaau jaau sankhya aahet
itihas.
pier dii fermetne 8 'aaa' + 1 aanee 8 'aaa' + 3 yaa swarupachya sankhyansathi eka varg adhik donada donada varganchi berries mhanoon nikash deela, parantu purava deela nahee. aine. 1774 madhye beguelinchya lakshat aale qee pratyek sakaratmak purnank joou 8 'n' + 7 kinwa 4 'n' yaa rupacha nahee, too teen varganchi berries aahe, parantu samadhankarak purava dett nahee. 1796 madhye goss yanni tyanche eureka pramey siddha kele qee pratyek sakaratmak purnank "aine" hii 3 trikoni sankhyanchi berries aahe; heey 8 "aine" + 3 hii teen varganchi berries aahe yaa vastusthitichya samatulya aahe. 1797 kinwa 1798 madhye aaa.-emm. legendrene tyachya 3 chauras prameyacha pahila purava midavala. 1813 madhye aaa. ell. kauchine namood kele qee legendreche pramey vareel parichayatil vidhanachya samatulya aahe. purvi, 1801 madhye, ii. eff. gosla adhik samanya parinam midala hota, jyat upasamhar mhanoon 1797-8 chey dantkatheche pramey hote. visheshtah, gossney purnank abhivyaktichya upayanchi sankhya teen chaurasanchi berries mhanoon mojali aanee heey dantkathechya aanakhi eka parinamache samanyikaran aahe, jyacha purava apoorn aahe. hii shevatchi vastusthiti nantarchya chukichya davyanche kaaran asalyache disate, jyanusar teen-chauras prameyavarche dantkatheche purave sadosh hote aanee teey gosdware purn karave lagale.
lagrangechya chaar-chauras pramey aanee girard, fermatt aanee yoolarchya done-chauras prameyasah, "keey" = 2 sathee warringchi samasya purnapane sodavali jaate.
purave.
prameyatil "fakt jarr" heey fakt modulo 8 mule aahe, pratyek varg 0,1 kinwa 4 chaa ekroop aahe. ultyache anek purave aahet (dantkathechya puravyashivay). tyapaiki eka jeey mule aahe. pii. jee. ell. 1850 madhye diriclate, aanee shastriy jhaale aahe. tyasathi teen mukhya niyam aavashyak aaheth
chaar chauras prameyashi sambandh.
yaa prameyala lagrangeche chaar-chauras pramey siddha karnyasathi vaparale jaau shakate, jyamadhye asey mhatale aahe qee serve naisargik sankhya chaar chaurasanchi berries mhanoon lihilya jaau shakatat. goss yanni nidarshanas aanoon dile qee chaar varg pramey sahajpane yaa vastusthitiche anusaran karate qee konatahi sakaratmak purnank joou 1 kinwa 2 modd 4 aahe too 3 vargancha yog aahe, kaaran 4 neey vibhajya nasalela konatahi sakaratmak purnank tyachyapasun 0 kinwa 1 vaja karoon yaa swarupat qamee keela jaau shakato.
tathapi, teen-varg pramey naan naan chaar-varg prameyanchya thet puravyapeksha teen-varg pramey siddha karane barech katheen aahe. kharey tarr, chaar chauras pramey yapurvi, 1770 madhye siddha jhaale hote.

