^é6 



Varìazioni finite 



TAVOLA 



Delle re!az.ìoni appropriate onde determinare la variazione indotta dalla 



variabilità di una , di due , e di tre parti in ci afe he duna delle, 



altre parti del Triangolo Sferico. 



I. 



A.B. CG 



^ r cof. C + col. A cof. B 

 are. G r= are. col- ■ — 



feri A fen. B 



ang. C ■:= ang. cof ( cof. G fen. A fen. B — co'". A cof. B ) 



ang. A* r:= ang. eoe. (cof. G ung. B)4-ang. fen- ( fen. ang. eoe ( cof. G tang. B ) X '^" > 



cof. B 



II. 



A. B. C- F 



ìli. 



A.3.G.H 



ang. B* = ang. cot ( cof. G tang A ) + ang. (en. f fen. ang. cot. ( cof G tang. A ) X ) 



cof. A '' 



are. F ~ are. cof. cof- B + cof A cof. C 

 fen- A fen. C 

 ang. cof. ( cof. F fen. A fen. C — cof. A cof. C ) 



ang. B 



ang. A' 



ang. C* 



=:: ang. coi. i coi. r len. .« len. »- — cui. j>. tui. «^ > 



=:ang.co£.(cof.Ftans.e)-t-ang.fen.(fen.ang. cot.(cof. F ta-ng.C) X ^2^^ 



^ cof. G / 



=r ang. co^( cof- F tang. A) i ang. fen. (fen. ang. COL (cof. F tang A) X -^^-^ ) 



col- A ' 



are. H ■=: are. cos 



cof. A + cof. B<of. C 



IV. 

 A 3. F- G 



ang. A ■=. 

 ang.B'zr: 



ang- C = 



(en.Bfen. G 

 : ang. cof- ( col, H fen- B fen. C - cof. B' cof. C ) ^_^^ ^ 



ane- cot. ( cof. H tang. C ) ± ang. fen. ( fen. ang. cot. ( cof. Htang. C ) X Sll^ ) 



c< i C ' 



ang. cot. ( cof. H tang. B ) ± ang. fen. ( fen. ang. cot. ( cof. H tang. B ) X ^^ ) 



are. F =^ are. tang 

 are. G* = 



ang. A* = 



fen. G 



V. 



AB. F.H 



ang. B =. ang. coi.: 



fen. A cot. B + cof.O ^ 



are- tang. ( tang. F cof. A ) i are. fen. ( fen. are. tang. ( tang F. cof. A ) X — ^ ) 



ang. cot. ( cof. G tang. B)^ans-eof-(ecL ang. cot. ( cof. G tang. B) X '^^) 



fen. G--tang^Fcof; Acof-G __ fen. A 



tang. F fen. A 



ang. tang. 



fen. G. cot. F — cof. G cof. A 



are. fen 



1_ 



aie F^ 



ar<c. H' 



ang. A' = ang. fen. 



ang. B' 



' :rr a.rc. fen. 



■ — ang. fen. 



fen. B.fen. H 



f'in. A 

 fen-F. fen. A 



fen. B 

 fen. B fen. H 



fen. E 

 fen. F feniAi 



fen. H- 



