
kendram (jyaamiti)

jyaamitiloo, oka vastuvu yokka kendram (british inglish) ledhaa kendram (american inglish); () anedi oka konamlo vastuvu madhyalo unna oka binduvu. parigananaloki teesukunna kendram yokka nirdishta nirvachanam prakaram, oka vastuvuku kendram undakapovachhu. jyaamitini isometry samuuhaala adhyayanamgaa pariganinchinatlayithe, oka kendram anedi vastuvunu thana vaipuku kadilinche anni isometryla sthira binduvu.
vruttaalu, golaalu mariyu vibhagalu.
vruttam yokka kendram anchuna unna binduvula nundi samaana dhooramlo unna binduvu. adevidhamgaa oka golam yokka kendram uparitalampai unna paayintla nundi samaana dhooramlo unna binduvu, mariyu oka rekha vibhagam yokka kendram rendu chivarala madhya binduvu.
samaroopa vastuvulu.
aneka samaruupatalu unna vastuvulaku, samaruupata kendram anedi samaruupata charyala dwara maarani binduvu. kabatti oka chaturasram, deerghachaturasram, rambus ledhaa samaantara chaturbhujam yokka kendram vikarnaalu kalusukunna chota, idhi (itara lakshanaalatoo paatu) bhramana samaruupatala sthira binduvu. adevidhamgaa deerghavruttaakaara ledhaa hyperbolaku kendram akshalu kalusukunna pradaesam.
tribhujaalu.
tribhujam yokka aneka pratyeka binduvulanu tarachugaa tribhuja kendraalugaa varnistaaruh
samabahu tribhujaaniki, ivi oke binduvu, ivi tribhujam yokka moodu akshaala samaruupata yokka koodalilo untaayi, daani bays nundi daani sikharam varaku unna dhooramlo moodinta oka vanthu.
tribhuja kendram yokka khachitamaina nirvachanam emitante, tribhujaakaara akshaamsaalu "f" ("a", "b", "c"): "f" ("b", "c", "a"): "f" ("c", "a", "b") ikkada "f" anedi tribhujam yokka moodu bhujaala podavula vidhi, "a", "b", "c" anteh
eee kathinamaina nirvachanam brocard paayintlu (ivi addam-chitram pratibimbam dwara parasparam marpidi cheyabadataayi) vanti dwikendra binduvula jatalanu minahaayistundi. 2020 natiki, tribhuja kendraala encyclopedia 39,000 ververu tribhuja kendraalanu jabita chesindi.
sparsha bahubhujalu mariyu chakriya bahubhujalu.
oka sparsha bahubhuji daani prati vaipuku oka nirdishta vruttaaniki sparsha kaligi untundi, dheenini insirkil ledhaa chekkabadina vruttam antaaru. insertil yokka center, incentor anie pilustaaru, bahubhuji yokka center gaa pariganinchavacchu.
oka chakriya bahubhujaaniki oka nirdishta vruttampai daani prati sheershaalu untaayi, veetini suntee vruttam ledhaa suttuvarida vruttam antaaru. circume center anie piluvabade circume circle yokka kendraanni bahubhuji yokka kendramgaa pariganinchavacchu.
oka bahubhuji sparsha mariyu chakriya rendoo ayithe, daanini dvimiteeya antaaru. (udaaharanaku, anni tribhujaalu dvimiteeyamgaa untaayi.) dvi kendrikruta bahubhuji yokka prothsaahaka mariyu chuttukolata saadhaaranamgaa oke binduvu kaadu.
saadhaarana bahubhujalu.
saadhaarana bahubhuji yokka kendraanni aneka vidhaluga nirvachinchavacchu. vertex centroid" anedi bahubhujanni khaliga pariganinchadam dwara vastundi, conny daani sheershaala vadda samaana dravyaraasini kaligi untundi. side centroid" anedi prati unit podavuku sthiramaina dravyaraasini kaligi unna vaipula pariganinchadam dwara vastundi. kevalam centroid (praantam yokka kendram) anie piluvabade saadhaarana kendram bahubhuji yokka uparitalaanni sthiramaina saandrata kaligi unnatlu pariganinchadam dwara vastundi. eee moodu paayintlu saadhaaranamgaa oke point kaadu.
projective conix.
projective jyaamitiloo prati rekha anantam vadda oka binduvunu ledhaa daaniki samaantaramgaa unna anni rekhalanu daate "alankaarika binduvunu" kaligi untundi. euclidean jyaamiti yokka deerghavruttaakaara, parabola mariyu hyperbolalanu projective jyaamitiloo conix anie pilustaaru mariyu drukpatham laeni projectivity nundi steiner koniksga nirminchavacchu. icchina shankuvutho projective plain yokka samaruupata prati binduvu ledhaa dhruvanni daani dhruvam anie piluvabade rekhatho anusandhaanistundi. projective jyaamitiloo kendram anae bhavana eee sambandhaanni upayogistundi. eee krindi vaadanalu g nundi vachayi. bii. aagipoyindi.

