iT^ DE RESOLVTIONE 



b'.at quantita? /, qinim heic vt incojnltam fpccli» 

 iiius , latis e(t pcrfpicuum. 



29. Dam [n campo ;il qiio dimctiendo occu- 

 pantur Gco ctae ; ita pkrninque procejcre foleit , 

 \t flnunita data baO A D et mciifuratis angulis 

 B AD, CaD, BDA,CD-V inde eiiciant diftant am 

 B C tt rcliquos flgurae quadnlatcrae angulos. Hinc 

 Gvg,o fequens cxoritur Froiilema : /i in Tctragom 

 ABCD coguitum fuerit litur AD — ^1 cwn angiilir 

 BAD-A, CADrza, CDA-D ct BDArr^, /«- 

 <ve>!iye Ltus BC^^b ct ar.gulos ABC-B,BCD^C. 

 Ex trianguio BDC babetur 



BC^ED +CD'-2:BC.CD. cof BDC, cft \ero 

 BD;AD::nn.A:rin.(A+<J);CD:AD::nn.a:fiu(a-l-D), 

 tum vera 



coL B D C i^ cof. D cof. S + fin. D fin. S' , 

 quibus valorihus (ubditutis fiet : 

 ^^ri^^f ..-■^'''•';-+,-^"-^ - ,-^'Vr'""" iT(cor.Dcor.(J-f n n. D fi n.^)l 



Comraodior autcm inuenictur folutio , fi ita proce- 

 damus, quafi cx datis tribus latcribus AB, CD, AD 

 ct nngulis BAD, CAD quacrcrc vcllcmus l.itus l-.C, 

 tum fcilicct fi AB, CD exprimantur per a.c cuu- 

 fequemur: . 



hb-a\ fN- d''^ 2 adzo[.A-\- 2 <7<rcof (A-i T>)-2cdcolT)y, 

 ex qua formula facile coUigitur 



fc6-(flfin,A-<^fin.Dy+(dr-«cof.A-<:cofD)\ 



hiuc^iue 



