256 Opuscula 



usqucduni occnrrant lateri DC indefinite exlenso in ptinclisMy 

 N. Erit 



AK:KM ::CosKAM:sin. KAM 

 idcoque 



AK sill, KAM 



Est quoque 

 ct ideo 



KM: 



Cos. KAM 



AK : AM : :CosKAM : i 

 AK 



AM = 



Cos. K A M 



A piincto O dncanlur lineae OA, OM, ON^ erit triangulum 

 0^^^=r^l^P triangulnm O A N= .^^;A|_. Triangu- 

 lum OMN = '-^ •^'^""•^ 'S triangulum AMN = 



., 2 Cos. K A M ' ° 



,AK-Mn^KAM ^^j AMN = AOM+AON+OMN^ 



a Cos. KAM' ^^7 



ergo 



2 



z.AK jtAK ajAKsin. KAM 2AK sin. K A M 



aCorKA M 2C0S.K A M "* 2C0S.KAM "~ 2 Cos. KAM 



Ponalur 2sin.KAM = ^, AK = a, reductionibus peraclis, erit 



x-\-z + bf=zba (1) 

 Eodem modo inveniemus 



z-h u -i-bt ^=ba (2) 



u -±-y -\-b x^=^ba (3) 



y + t +bz-ba (4) 



t-{-x + b u ^=.ba (5) 

 Proindeque etiam 



z-=.ba — X — hy (6) 



u^ba — J — bx (7) 



t=: ba—f~ bz (8) 



t=:ba — X — bu (9) 



In aequatione (8) ponatur l>a — jc6 — j pro z, et in aequa- 

 tione (9) ba — y — 1> x loco u. Erit 



