30 1)1 D E R i C I VAU L A N K E R E N K A T I 11 E S 



1 _ Aß + EG — AG 



""^■' . W~ ürAup 



] AB — BC + AG 



eodem modo invenilur: -^ = — '2^^Ä"ße~ " ■" 



-1 — "Z-^ + BG ■)- AG 



K'« "~ 2_i ABC 



qiiibus aequationibus in summam coilectis oblinebimus : 



• J_ J_ J_ __ AB -t- BG + AG 



ll> ""^ R" "*■ R"' "" 2^ ABC 



"iroilcvpiß ,ifu:ir,r iiy.- -ij jii luji i.m n.(.. .iJt- i,..,-.. 

 1111 



unde patet : "F "^ "R^ "^ Rm" ~ "R" 



; „ R'R.R'" 



ergoque: R = i^,r, ^"i^. i^„, ^ ^„^„7 



§. .12. 



n;*:;, .iii/r .loV 



Porro ex aequalionibus a et 6 coOb'gere litet : 



R : R' =: S : S — 2Q 



sive per compositionem : 



R + R' : R — R> = S — Q : Q 



eodem modo invenies : 



R 4- R" : R — R" = S — P : P . 



eic. 



Si attendamus ad valores radiorum sphaerarum , quae unum planum laterale externe 

 tanguut , videbimus esse : 



Ri : R" = M + N + P — Q : M + W — P + Q 



sive per compositionem: 



R' + R" : Rt — R" = M 4- N : P — Q ) ^, 



R" 4- R"' : R" — R'" = M + Q : N — P 1 



34 



SIC etiam 

 etc. 



§. iS. 



Coilectis vero aequalionibus 6, e et ä; aequalionibus c, e tX g ; aequalionibus rf, e et 

 / in summam , habebimus : 



R' 



