NELLA TrIGONOMETRI 



\6j 



TAVOLA 



DclU relazioni appropriate ondi determinare la variax.ione indotta dalla 



variabilità di una , di due , e di tre parti in ciafcheduna delle 



altre parti del Triangolo Sferico . 



VI. 



A. B. G. H 



VII. 

 B. C. F. G 



Viri. 



B. C. F. H 



IX. 

 B. e G. H 



X. 

 C. F. A. G 



are. H z:z are- tang. 



len.G 



fen. Bcot.A -f- col. Bcof-G 



are. G' =: are. tang. (tang. Hcof- B) i arc.fen. (fen- are. tang-C tang- Hcof. B) X ^HIL? ") 



tang. A' 



ang.B* =: ang cot.Ccof. G ting. A )± ang . cof. ( cof. ang. cot.(cof. G tang. A ) X .~^^ ") 



tane. H ' 



ang. A z= ang. cot. 



fen. G — tang.H cof. B co(. G 

 tan^. HIen B 



ang. tang.. 



fen. B 



fen. e. cot. F — ecf. Gccf. B 



are. G* = are. fen. '^"-P'^'^-^ 

 l«n. B 



are. F* ■= are. ft 



are. len. 



ang. B* :zr ang. fen. 

 ang. C* = ang. fen. 



fen- G len B 



len.C 

 fen- Cfen. F 



len. G 

 fen . G fen- B 



fen. F 



fen. H 



are. F r= are. tang. 



fen. C eot. B + cof. C cof. H 



are- h' = are. tang. ( tang. F cof. C ) ±. are- fen. (fen. are. tang. ( tang. F cof. C ) X ""?•_? ^ 



. tang. B'' 



ang.C* r= ang. cot. ( cof. H tang. BJ + ang- cof. ( cof. ang. cor. (cof- H tang. B) X 'illi" ^ 



ang.B = ang.eot. fen. H -tang. F cof- C cof. H ^ ang. tang. f^" C 



tang. F fen. C (en. H cof F — cof H cof. C 



ire. G r:z are- tang. 



fen. H 



len. B eoe. C "hcol. B cof H 



are. H' r^ are- tang. ( tang, G cof. B ) ± are. fen. ( fen. are tang. ( tang. G cof. B ) X ^3I1§Z^ \ 



tang.C J 



ang. B* z= ang. cot. ( cof. H tang. C } 4- ang- eof- ( ecf ang. cot. ( cof. Htang. C )X -""-?l5 ^ 



ng. G } 



ang. e r= ang. cot. fen..H- tang. G cof. B cof. H __ ^^^_ ^^^^ 



fen. B 



tanj. G fen. B 



(en. H rot. G — cof H cof. B 



. G =:arc. tang 



fen. F 



fen. A cot. C + cof B cof. H 



e. fen. { fon. 



tanR. A 



are. F = are. tang. ( tang. Geof. A ) ± are. fen. 1^ fen. are. tmg. ( tang. G cof. A )X ^ ^' .\ 



tang. C / 



ang A — ang.eot. (cof- F tang B)iang. cof. ( cof- ang. cot. ( cof. F tang. B ) X ""^ J^ \ 

 °' tang. t» / 



fen.F— tanr. fJcof Arnf. F _ fen. A 



ang.C =ang. ecc. ' — i ana-tang 



tani; G len. A 



fen. F cor. G — rnfFcof A { 



