G64 



Georg Borenius. 



eller 



(35) 4a-, = y, + r" V^^ (J„ s' + AiZ^ + A. + z) + i'-' ]/ a, z' + a, ^ + ao + 'T''' Vh {A, z' + A,? + A.-z) 



Att dessa rötter verkligen satisfîera fjerde grads likheten (1), inses deraf 

 att, då: 



AoZ* + A^z- + A2 = t 



(éx - th - Vh{t + z) - y«„/ + rt,"/T"«2 - H {t - ^)) (4-« -Vn + i '\%{t + z) 4- l/a„^*+fl^+^2 - '' VW^)) ■ 

 Ux - yn + V^{t + z)~ VaoT+ä^z^ + «2 + Ki(^-^)) (^« - ^o - ' F|'(^+ä) + î/a^7* + «j Z'' + «g + ' l^i (^- ^)) = 



4a; - .?/„y - 2 (a, / + r/, z^ + a, + 2 Vi, (f - /)) (^x - ?/„)- - 4 Va, z' + a, z' + a, (f/j (t + £f + V\ {t - z)^ (ax - ?/„) + 



2 VW^^) - («o é + a, ^H «2))^ - (î'R^^)' + VW^f) = 

 (4x - ?/o)* - 29. (42; - y^f - 4(^3 (4a; - ,%) + (p^ . 



Sammanfattning. 



«■=:) 



JJ (^ - :r,) = ic* - /; iT^ + /Ô x^-f^x + n = 



k=ü 



cp, = 2n-8Af, + 4:'f, 



cf,=-sn+^'rif,-A'frf, + A'f, 



« = 9 (jfl + 4 (f2 9:4 



y = 4 — ö 

 d = 3 



Co = r((^,-;') 



<^i = -i ^j^ « + "-l^~^^ 



^'- = -\ Fa ?'+ ^p— 



63 = /-(-,'3,^0 



Co ^« + Cl 2* + c, / + c, = o 



