2S6 ' DE TRANSLATiOXE 



his igitiir valoribus fubftitiuis, fit 



cof. kb~ fu;. AC c. fin. bcQ — cof. C c cof. A C c. zo[.bc C. 



Theorema II. 



15. Si conuer/iofw fph^erae circa ccntrinn fuum 



fixwn ^ puncta A, 1B> C quadrantUms intcr fe dljlantia 



Tab. III. peniencrint in puncia n, b, c, et du£li fupponamur ar- 



Fig. 4. cuf circuloruni niaxiviorum ^ A a, A b, Ac Bn, B b, 



B c, C n, C b, C c, fequcns .expreffio fewper ad nihiium 



redigetur 



Cl-cof.A«)(i-cof.B/?Xi-cor.CO+cor.Bfcor.C/7(i-corArt)-cor.Akof.Kfcor.Ca 



+con A(rcof.Ctf( I -cof BZ^Kcof. AtcoI.CkoI.B<? 

 +coI.C^cof. Bc[ i -co(-Ct). 



Demonflratio. 



Ex clementis Trigonometrinc Sphaericae con- 

 ftat , effe in triangiilo A^a 



cof.Apfl— cof.Atf fin.(3Art: fin.(3t/A— cof (3Atf cof.(3M , 

 hinc ob 



A|3rt— B^; (3Afl:=BAfl-9o°^ ^aA — bak-\-^o', 

 ita \t fit 



fin.{3Artz:-cofBArt cr cof p A ^-fin.B Aa, tumque 

 fin.(3flA — cof.^^ A et col.p^ A--fin.^^A, colligitur 

 cof B^ zr fin. B A rt fin. ^fl A — cof A a cof B A a. coCbaA. 



Simili ratione cx confideratione trianguli A y a de- 

 ducitur , 



cof. A yfl — cof. Aa.fin.B A^.fin, Z?jA-CQf.BA/z.cof^'<7A, 



fcii 



