&6 PROBLEMATA TRIGOKO- 



Sinus anguli ZPS — P eiusque cofinus = Q 



— - Z?T— p - - — q 



— laterum PS ; PT— t — — — z 



— . bafis Z? zz: x — — — y 

 Quoniam hoc pa&o omnia triangulorum la- 



tera denominata funt, angulorum ad P cofinus 

 exprimere licet per regulam a me faepius alle- 

 gatam atque ita aequationes formare vti fequitur» 



rC — yz ,"» ro — yz, 



i- r-j^ ~Q ltem r ~j£- == q 



rC—yz tx rc. — yz tx 



2 * Z — r q — r. 



Ex binis hisce fit 

 3. - -.. rqC-qy z. zzrQc-Qyz 



_ _ _ Qficrtl 

 4r- / J Z ' CL—q 



Si ^at finus femifumniae angulorum ad P =: 

 M, et finus femidiiferentiae — N, erit Q— q zzz 

 ^r adeoque 



c — vz — rr ^=2? 



5' J * ' ' 2MN 



Ex aequationibus primis formantur quoqufc 

 6,. rC-yzzz^ - - rc~yz=. q -£ 



exinde 



7. **=*£=& yzr^ 



Ex binis his habetur 



8. — rr C — Qjx zzz rrc — qtx 



9. - txzzrr^ 



Ponatur finus femifummae laterum Z$> ttZTzzz m 

 et finus femidifFerentiae zz n. erit C — c — ~ 

 adeoque 



•»0 f v — rrmn 



Ex 



