Theorie der Sonneufinsternisse, der Durchgänge etc. 211 



VII. 



fA +gB + /,C=^f,A + g,B + h,C 

 = — { iffft —{10 + Ullh — Itgif + (Ä/"i —flu)- sin o). 



VIII. 



f[BC^ + .9 [C^] + h [AB] =/•, [ßf] + .9. [6M] + /^ [^Ä] 



IX. 



[^^]^ + [Bcy + [c^]^ = ! (/'//.-.^f.r + (ff/h-hg,y + (Äf, -rh,y\E\ 



X. 



(/• — /•,) (^1 + 59 + Q) 



= I ('•/•. — n/") ^ + O-ffi + '-i^) ^^ + O-h, — r,/0 irs «/// CO 

 + {i>i\ — r,f) (////,—//.</,) + irff^ — r,g) (hf,—fh^) + (r/., — r.//) (fg.—gfM E cos to 

 = ! r (/i f/ + .9, V + //, Jf) — r, (7"i/ + // r + h W) \ sin to ^ 

 = - ('• — /•.) i (ffh — fltW + igf>, — /'fft} ' + ihn -f/hf \ sin CO, 

 also : 



Ax + B)) + Q = __ |(^^, _^/-,y + (gh, — hg,y + (Äf. — /-^yi 67« CO. 



XI. 



Ax + B^ + Ci = sm CO ^ - {(-) + (-) + (-^) [ sin 



Cl). 



XII. 



(r-rQ {r[BC] + l)[CA]+;[Aß]} 

 JS 



{ 07^ — '•./•) (///'■ — Ä^i) + irg, — r,g) Chf,—fh,) + (rÄ, — r.Ä) (fg^—fffi)} E sin 



1 ('/. — >\f) U 4- (r^, — r,g) V + (/•/*, — r, Ä) ^ } ros co 



27' 



