pS PE RESOLVTIONK 



Bunquam aliquanto compendio abfoliu poflfunt., qua- 

 Tum igitur folutiones ne aliquid in hac dodrina dc- 

 fijcrctur , heic quoque explicabimus : 



Problema T. Datif lateribus quadrihteri a, b, c 



et angiilis B, C, inuemre reliquos angulos A, Q 



et reliquwn latus d. 



'/ 



Hcic in id imprimis intenti crimus, "vt bini anguli 



A, D fimul determinentur , quod facile fieri potcft , 

 inijdu coium ^.u^iiurcaiui dlffciciiiiu , fumma ciiiui 



iam cognita habetur zz 360* — B — C. Qiioniam 

 igitur per aequationem noltram tertiam cfl 



flfin.AH-^fui.(A+B)4-<^iin.(A4-B4-C) = o 



fi loco A fcribatur A-i-B — B, fiatque euolutio ,' 

 prodibit 



«fin.(A + B)cof.B-tfCof(A+B)fin.B + ^fin.(A+B) 

 + ffin.(A+B)cof.C+fcof(A+B)fin.C-o 

 cx qua aequationc dcducitur ; 



Tano- fA -I- Rl — nJ;r..B — c/m . C " 



quum vero fit A + B = 360 — C — D , fict 

 A-1 B=rUA + B-C-D)+iSo°, vnde coUigitur 



Tang. ■ (A-D+B-C) -- ^^i^^-^-^. , 



cx qua acquatione ob datim diffcrcntiam i (B — C) 

 innotefcet a(A — D). Porro fi confidcrcmus effe 



V A n^ - 'Tang;. l ( A- D+B-C) - Tang. J (B-C) 

 Tang. , ( A D) _ ,^^3,,^ . (A-D>B-C)Tan£.aB-C) 



tumque 



