368 



Variazioni finite 



TAVOLA 



Delle relaz.ioni appropriate mie determinare la varia^z-ione indotta dalla 



variabilità di una ^ di due, e di tre parti in ciascheduna delle 



altre parti del Triangolo Sferico . 



XI. 

 e. F. A. H 



XII. 



G. lì. A. C 



len.F 



are H =r are. tang. . ''"'" *: 



fen.Ccot.A + ccf. Ccof. F ,< .^ .• 



arc.F'=: are. tang. (tang.Hcof.C) i arc.fen. (fen;arc.iang.(tang.Hcof. C) X ""^"^ ) 



tane. A ' 

 len.F — tanp-Hcof. Ccof.F 



ang. A =r ang. cot. 



tang.H len A 



ang. C = ang. cot. (cof. Fta 



■= ang. tang. 



fen.C 



tang. A 



u{- n leii ±i. fen. F. cot. H —cof. F ccf. C 



,ng. A)±ang.cof. ( cof. ang. cot- ( cof- F tang. A ) X *^*"Sl^ ") 



tang. H' 



are. G* 

 are. H' 

 ang. A* 

 a ne. ^' 



r (en.H fen.C 



:=: are. len. 



XIII. 



C-F.Q-H 

 H.3i 



XIV. 

 A. F- G. H 



itn. A 



i- fen. A len G 

 r^ are- len. 



(en.C 



r fen Hfen. e 

 zrr ang. len. ^ 



len. G 



fen. A fen. G 



z^^ ang. fen. 



fen. H 



-al'-— "O .- 



ang. C := ang. co 



f cof G — cof. F cof H 



are. G 

 are. F' 



fen. F fen. H i'. iT..': 



= are. cof. ( cof. C fen. F fen. H + cof. F cof H ) 



r^ are. tang. (tang. H cof. C) 4 are. cof ( cof. are. tang. ( tang. H cof. C) X — -— ) 



^ col. H / 



= are. tang. ; tang. F cof C)±arc. cof ( ccf- aie- tang. ( tang. Feci- C) X ^ — — ) 



col. F ' 



:=: ang. cof 



cof H — cof Fcof G 



fen.F len G 

 = are. cof. ( cof A fen. F fen. G + cof F cof G ) 



aretang. Ctang. Gcof. A) + arc.eof (co'', are. tmg. (tang. Geof A) X ~— ) 

 = are. tang. (tang. F cof. A). -tare, cof (ccf are tang. ( tang. Fcof. A )X ^^--^ ) 



XV. 

 F. G. H. B 



li (' .._ 



are. G 



cof F — cof G col H 



fen. G fen. H 

 = are. cof. ( cof B i'e:-:. G fen. H + cof. G cof H ) - ^ 



— are. tang. ( tang. G cof E ) + are. cof ( cof. are. tang. ( tang. G cof B )X pj"^) 

 = are tang. ( tang H cof B ) + are. cof ( cof. are. tang. (tang. H cof. B ) X ^^ ) 



ang. B = ang. cof. 



are. F 

 are. H» 



.-•.^.i,- 



1- : 



...., .i:..i.v 



ISTORIA 



■ly iu .— 



