iq6 FORMVLAE ?AQ TR4NSL\T10:^S 



quiic aeqiiatio pcr cof^-^ol.i^' diuini pneb:t 



tiiiij;. ^ ta.13. ^' — - coC C/] - y/). '■ 



Eojcin moJo bi i.ie rtliqu.ie ae^]U:itioncs dabunt 

 ta!i-<'c.i-.ii.^"--c.. •.(>)'- 1"/ ct t.n,' ^"ui ■,.^--cor.^V'->,). 

 Px hs i;^'tur tr'bus acqu;iti(in:bus ternai nnguloi 

 ^, ^' ct <^" determiiuire licebit , ita \t omnia ptc 

 tcruos ivigul.)» -/], V)', •>)" dcfiniri qiicant» 



§ 1+ Q.iod quo f.iciliub ficri poiik , multi- 

 plicem.is ii.is tr s aequationcs in (e ii)U'cem, vt fiat 

 tan.',.4^"ta ig''ta 1^,' ^"'— -coi;(-vi-Vj<^or.^V-V')cor.('vi''-'>l). 

 Vnde (latim patct, mfi prod.idaiii horum trium to- 

 finunm fjcrit ne^atiuum , ca(um e.Te inipoliib.lem ; 

 quocirca ante o miia necelTe c(l , vt horum cofi- 

 nunm vel viius vcl o nncs trv.b (iut ucc^atiu:. Sta« 

 tuamiis igitur breuitatis gr. 



cof (>i - '4') cof. (V - -vi") cof (v)'' -yi) — -AAy 

 yt nancifcamur tanjj. ^ tang. <?' tang ^'' — A, quae ae- 

 quario per finguLis praecedentes diuifi nobis iuppe- 

 ditat liQS valores :. 

 tans. ?•' = ^_--, i tang. 4 = ,,j=^- ; tang. ^'=1 -^^, 

 hoc ijiiur modo omncs nouem coefficicntes initio 

 aflumti F, G, H, F', G', H', F", G", H", per (blot 

 ternos anguU> v, y\', V dttcrminantur hoc modo : 

 F =ifm.<^ , G =:co(.< fin.v) , H -cof-^ cof vj 

 F' =:lin.<^', G'=:cof^' fi;i<^' , H'-co;.^' cof.V 

 F" = fin.^"", G"z=cof ^"(in. n", H"zrrol.<^"co(.>i''« 

 §. 15 Omnes igitur tr.uislationcs , quibus fi- 

 tus CQrpocis riiiidi mutari potctl , pcr lcx. elcmenta 



dctcr- 



