
pythagorian trikonangal

valathu trikonangal, pythagorian sidhaantham, pythagorian trippilukal ennivayekkurichulla oru pusthakamaanu pythagorian trikonangal. ithu yadhaarthathil poolish bhashayil vaclo sirpinsky ("trojkadi pitagorejsky" ennu sheershakam) ezhuthukayum 1954 ll vaarsoyil prasidheekarikkukayum cheythu. indian ganithashaasthranjanaaya ambikeshwar sharmma ithu engleeshilekku vivarthanam cheyyukayum sirpinskyil ninnulla chila adhika metteeriyalukal cherkkukayum 1962 ll yeshiva sarvakalaashaalayude (parambarayude vaalyam 9) "skriptta maathamattikka" patana parambarayil prasidheekarikkukayum cheythu. dover pusthakangal 2003 ll oru paperback pathippil vivarthanam veendum prasidheekarichu. 1954 pathippinte russian vivarthanavum undu.
vishayangal.
pusthakatthinte ulladakkathinte hraswa sangrahamaayi, niroopakanaaya bryan hopkins "dhii pairetts oof pensance" udharikkunnu "hypotenesinte chathurathekkurichulla santhoshakaramaaya niravadhi vasthuthakal."
pusthakatthe 15 adhyaayangalaayi thirichirikkunnu (allengil 16, kootticherttha metteeriyaline oru prathyeka adhyaayamaayi kanakkaakkukayaanenkil). ivayil aadya moonnu aadima pythagorian trippilukale nirvachikkunnu (rund vashangalkkum hypotenesinum pothuvaaya gadakangalillaathava), ellah aadima pythagorian trippilukalum srishtikkunnathinulla staanderd formula neduka, pythagorian trikonangalude intedius kanakkaakkuka, paramavadhi 100 vashangalulla ellah trikonangalum nirmmikkuka.
naalam adhyayam ganitha purogathiyil vashangalullava, eathaandu-otappetta trikonangal, eathaandu-otappetta trikonangalum chathura trikona samkhyakalum thammilulla bandham ennivayulppede pythagorian trikonangalude prathyeka klaasukal pariganikkunnu. adutha rund adhyayangal pythagorian trippilukalil drishyamaakaan kazhiyunna samkhyakale savisheshamaakkunnu, 7-9 adhyayangal ore vashamulla, ore hypotenus, ore paridhi, ore vistheernnam allengil ore intedius ulla niravadhi pythagorian trikonangalude koottangal kandethunnu.
10-aamm adhyayam pythagorian trikonangale oru chathuramo ghanamo aaya oru vashamo vistheernnamo ullathayi vivarikkunnu, ithu eee prashnathe fermaattinte avasana sidhaanthavumaayi bandhippikkunnu. heronian trikonangalekkurichulla oru adhyaayathin sesham, 12-aamm adhyayam eee vishayathilekku madangunnu, hypotenus vashangalude koottavum chathurangalaya trikonangalekkurichu charcha cheiyunnu. 13-aamm adhyayam pythagorian trikonangale oru yoonit sarkilile yukthisahamaya pooyintukalumaayi bandhappeduthunnu, 14-aamm adhyayam poornnasamkhyakalekkaal yoonit bhinnasamkhyakalulla valathuvashathulla trikonangalekkurichum 15-aamm adhyayam euler ishtika prashnam, pythagorian trikonangalude trimana saamaanyavalkkaranam, poornnasankhya-vashangalulla chathushkonathekkurichulla anubandha prasnangal ennivayekkurichum charcha cheiyunnu. nirbhagyavashaal, iii kandethiya heronian tetrahedroninte oru udaaharanam nalkumbol. pii. theerchayaayum, pusthakam athinte vooliyam kanakkaakkunnathil oru thettu aavarthikkunnu.
prekshakarkkum sweekaranathinum.
eee vishayathil ganithashaasthra adhyaapakarkk thaalparyam janippikkunnathinaayi eee pusthakam lakshyamidunnu, ennaal (athinte chila thelivukal amithamaayi sankeernamaanennu paraathippettittum) niroopakanaaya donald vesttal ithine "kooduthalum pothu prekshakarkkulla rasakaramaaya pusthakam" aayi nirddeshikkunnu.
modular notteshanum leanier algibra upayogichu pusthakatthinte chila metteeriyalukal lalithamakkaamennum oru grandhasoochika, soochika, athinte oru thithreekaranathekkaal kooduthal, booliyan pythagorian triples prashnam polulla eee mekhalayile sameepakaala gaveshanathilekkulla pooyintarukal enniva ulppeduthikkondu pusthakam update cheiyunnathiloode prayojanam labhikkumennum niroopakanaaya bryan hopkins nirddeshikkunnu. ennirunnaalum, ganithashaasthra adhyapakarkkum "samagravum gambheeravumaaya thelivukalil" thaalpparyamulla vaayanakkarkkum addeham ithu valare shupaarsha cheiyunnu. niroopakanaaya eric steefan barnus sharmmayude vivarthanathe "valare vaayikkaan kazhiyunna" ennu vilayiruthunnu. eee classic vaachakam veendum labhyamaakunnath santhoshakaramaanennu" "isbmathinte" edittarmaar dover pathippinekkurichu ezhuthunnu.

