2x5 MEDITJTIONES DE Ql^Ay!TITATTBJ'S 



Pro Cubo a . P / aequntio dtfiniens eft h;icc : 

 x'—ax*—ax-{-a*zzo^ quac , poncndoan:i'-f-|a, traniit in hanc : 

 v'*-*a'-v-+-[ia'=o. Vndc fit ( §. XXXIV. ) 



v-[-^a'-\ry&a'-ll .')]«-+-( . . .-V{...)]"=z.y'-'„a'+^^-l-y , h. c. 

 i)vzz-\a-\a—-i.tayet hinc 2>i;-(^^-').:^4-i— I -).|^- +1^; 

 6t 3)i'=t— •^)-l'»+("^^'-')1'?-+H§- XXXVl). Vndc , ob 

 :e^t'-h;-«, habetur i)xzi:i)v-i-\a:zz-^a+'iaz=:~a ., 2)xzz2}t+ia 

 z^ia-i-yi==-{-a ; et 3)x^3}v-hka=^la-]-^,azz-+a. 



Cubus |3. P T dcfinitur pcv hanc acqu.itioncm : 

 ^■—(aV— tf'-t-^).v*-l-(2<7V-«'— a')a-+-«':=o. Haec , ponendo 



A— vH-^^^^T""*^ ) transfiirmatur in requcntem 



,/#_^ i£V^' ^^_ ifl±tii!±ri! -_o. Kx qua fit (§. XXXIV) 



Repcritur autem duorum cuborum particularinm pars irratio- 

 nalisTy(...)z::o-Eritcrgo^:=[--^-=^'-^'j-+[-^^--^^^^ 



adeoquc (per §. XXXVII.) crit i^-yz^-^^V^^ 2 -f- a V- i )- J^V' 

 (2_^2V_i)^-^^(-i_|-y-i)-'^(-i-t-V-i)rr.-+-,'tf-^y-a' 

 zzz-i.{-\a-^}V~a') :, et hinc 



a)^;--(*-r^-')(-;^-f-;v-^')-+-C^-'X-i^-f-;y-^-)--i^-f^y-«N 



Ccmfcquentcr , •>b .v— v-f-iy-*?'-!- ;</ , habetur i).r— i)<y-f-iy-a* 

 ^^(TZZ';a-\V-a"-h]V-a'-hk^zz:-\-a;z)xzz2)v-^]V-a'+ia—-la 

 -t-;y-«'-f-jy-«'-f-;^7=:-f-y-^'; et 3).r-3}i;-f-jy-^*-f-i^-;« 

 ^\V-a'~+\V-a'-i-la—+-V-a\ 



Cubus deniquc ^. P T ita definirur : 

 x*+-{^V-a''-a)x'-{2aV-a*-{-a').r-ha'zz:o. Hacc , pon.nido 



x—v--—, ■ , tr.infit m hapc . v * r"^ + ~*^ — ° » 



eritquc 



