= (74) ===== 



cot. z — "^- "^- '^'\ — -f- 1, 121 85; 



cot. z =z "''•'"^°'^^'' =: — o, 67850: 

 0,884« ' ' ^-^ ' 



^^^ o, 884-=^ — — 0:44-330, 



qui pro ipfo arcu E C zz: ;:; et angulo A C B dant: 



z =1= 41°, 33'', ACB ~ 46", 10''. Maximum. 

 z — 124, 9; ACB ~- 41,23!. Maximum. 

 z — 113.55, ACB ~ 41522. Minmujn. 



Quod fi igitur confideremus duos circulos maximos 

 EABF et ECC^CF, fe inuiccm lub angulo AECii=85* 

 interfecantes, in quorum priore capiantur arcus EA~i7°, 

 E B ~ 59°, ita vt fit arcus AB~42°j manifellum eft, fi 

 triangiili fuper bafi A B confirucndi vertex capiatur in ipfo 

 pundo E, tum angulum ad \erticem nihilo forc acqualem j 

 dum autem ifie vertex in circulo maximo ECF paulatim ele- 

 vatur, angulus ad vcrticem continuo increfcit, donec perue- 



o , ^/ 



5 



nent in pundum C, vbi, vt vidimus, arcus EC = 4i%43 

 et angulus A C B nr 46°, i o^ Hinc autem fi vlterius afcen- 

 damus, angulus vcrticalis iterum decrefcit, vsque ad pundum 

 C\ vbi arcus E C'' — 1 13°, ^^^' et angulus A C'' ^=141°, 22'i 

 inde vero vlterius progrediendo ifte angulus denuo paulukim 

 augebitur, vsqne 'dum vertex pundum C^'' attigcrit, in quo ar- 

 cus EC^^=i24°,9^ et angulus A C B — 41°, 23 -^. Dehinc 

 porro ilte angulus continuo decrefcit, donec tandem in pundo 

 F penitus euancfcat. Euidcns nutcm ell etiam in inferiore 

 circuli maximi E C F femiffc easJcm tres folutiones exhibcri 

 poflc, ita vt hoc cafu omnino fcx folutiones locum habeant, 

 tria maxima fcilicet , totidcmque minima. Maxima cnim 

 ACB et AC''^^ in infcriore femilfe, vtpotc negatiua, in 



mini- 



