'2Ö. .. Pff^fJ 



tum erii Jenominator 



;out.ii«>avu 



/C E' • — C'^' F" + CG' — E' C" -f. E"'F" — E"'G'' V 

 V -f F'^C"- — r"£V 4.-F"G'' — C; (^ -j» G"'E' — C'F' V 



V. — F'E^' + F'G"— G'^B^'-fGE"— G'F'^ J 



« = ( + ^ ( +F'-B"-l^^'t-^r^'^'-^G--^HiG''C»'-VF'''(I^ 



__ j- /B'- G^'~B'''E''%B'''ii""i^C''^ii"+C'E^^ N 



\^ -|_ E" B" — E" C»' + E" G"' — G"'B"' + G" C" — G" E'" J 



^ /B";c^' =;^ft'5E;;+ BjFl''''^;cr^y^;clE'l^ 



"^ ^ +E'"B^ — E''C^ + E''F|','— .F"'B'^ + F"C'^ — F"E"'/— 



•t ) 



Hae expre3£iones, si ad spla» litteras B, C, E, F, G, respiclmus , complectun- 

 tur omnes eariim termones cum pernmtationibus, Hve vanationum in qoctn- 



na combinatoria sie dictarum tertiam classeni et quidem rite ordinataiii. 



-■ '■■ ■: ', . " . , ,■ j! .- ' . ' ,-j .:: ....■:'... \,>' ■ =:, I. 1 i, ' .-. . 



Qiiomodo sigiia $e nabeant, manifcstuin est: ea nimirum alternant duplici 



respectii, priino quoad factores B, C, E, F, G, deinde qiioad singulos termi- 



nos, qui an lios factotes ducti sunt. Quod ad indices niimencos Iitlerarüm " 



attinet, in quavis complexione vel m quovis proäuctoü junguntur indices 



oidine nauu^ali, qui lilteris in boc producto defxcientibus (excliisa semper 



littera A) conipetimt, prima littera cujusvis producti indice ca'ret.^ Ex, gr. ' 



in producds BEG, BGE.EBG, EboVÖBfe, GEB addiiiitur secuntlo et ter- 



tio factori indices litterarum C. F in his prodiictis non occurrentinm, sive 



numeri iii, v, Simili modo pro aequatione difFerentiali intei: octo variabiles: 



o = Ada + Bdb+Cdc + Ed-«+_,fdf4- Gdg + Hdh + Idi, 



denominator 2f complectitur omnes quaterniones Septem litterarum 

 B, C, E, F, G, II, I cum pernuiiali-onibus ; pro aeijuaiiune intcr lo variabiles: 



o=:Ada + Bdb + ... + Kdk +Ldl, 

 denominator comprehendit omnes conquinaiioiifscum permutationibus norem 

 litteranmi B, C, . . . K, L. Generatim pro aequatione difF;,renLiali inter an 

 variabiles, denominator t» da sive 9{ eonstat oQmibus variationiLus 2«— i 

 litterarum B, C, E, . . . (exclusa prima Ä):<;lassis n'«. Signa terminoruni, (dum 

 dassis rite sit ovdinata, sive singujae cpmplexione§ procedant ordine lexico- 



