Elipso yid oberta nnya sfero yid figura obertannya v trivimirnomu prostori yaka sformuvalas pri obertanni elipsa navkolo odniyeyi z jogo golovnih osej Stisnenij sferoyidVityanutij sferoyid Zmist 1 Istoriya 2 Osnovni formuli 3 Div takozh 4 PosilannyaIstoriya RedaguvatiTermin sferoyid dlya viznachennya dvoh variantiv elipsoyida obertannya vviv Arhimed Mi vvazhayemo nastupne yaksho elips pri zberezhenni neruhomoyu veliku vis obertayetsya povertayuchis v pervinne polozhennya to figura yaku vin ohoplyuye bude nazivatisya vityanutim sferoyidom Yaksho elips pri zberezhenni neruhomoyu malu vis obertayetsya povertayuchis nazad to figura yaku vin ohoplyuye bude nazivatisya splyusnutim sferoyidom Osnovni formuli RedaguvatiPlosha poverhni 2 p a a b 2 a 2 b 2 ln a a 2 b 2 b displaystyle 2 pi a left a frac b 2 sqrt a 2 b 2 ln left frac a sqrt a 2 b 2 b right right nbsp dlya stisnenogo 2 p a a b 2 b 2 a 2 arcsin b 2 a 2 b displaystyle 2 pi a left a frac b 2 sqrt b 2 a 2 arcsin left frac sqrt b 2 a 2 b right right nbsp dlya vidovzhenogo Ob yem 4 3 p a 2 b displaystyle frac 4 3 pi a 2 b nbsp Tut o e displaystyle o varepsilon nbsp kutovij ekscentrisitet o e arccos b a 2 arctan a b a b displaystyle o varepsilon arccos left frac b a right 2 arctan left sqrt frac a b a b right quad mathrm nbsp stisnenij arccos a b 2 arctan b a b a displaystyle arccos left frac a b right 2 arctan left sqrt frac b a b a right quad mathrm nbsp vidovzhenogo dd sin oe chasto opisuyetsya yak ekscentrisitet e dd Div takozh RedaguvatiSferoyid zemnijPosilannya RedaguvatiCalculator surface area of oblate spheroid Calculator surface area of prolate spheroid Otrimano z https uk wikipedia org w index php title Sferoyidi amp oldid 39064830
