FOLYGONORVM RECTILINEORVM. aoi 



Ex pofteriori harum aeouatlonum confequimur 



d— — a cof a — b cof. (a -+- (3) — c cof. (a -f- (3 -f- y ) , 

 hinc fumtis quadratis , 



id— a»co/.a ? ^l*c/.:a.^P} ^ ^"c0/.(a-4-P.-f-V) , ^^ 



+ i6cco/.(a-j_pjco/'.(a +P-+-7) , 



huic autem aequationi addatur quadratum prioris ae- 

 quationis , quo fa&o prodibit : 



dd— ^+* , +f*+2«i'(cof.acof :(a+(3)+fm afin.(a+(3)) 

 -f-2 #^(cof.a cof.(a-f-p-hy)-+-fin.afin.(a-r-(3-+-y)) 



+2&(cof.(a+(3)cof (a-+-p-f-y )-f- fm.(a+(3) fin. (a f |3+y)) 

 rz: fl*-f- &*~f- f*Hh 2 .«£ cof.p-f-2<w:cof.f p+ y)-+-afocof.y 

 ita vt noftra aequatio prima fit : 

 I. </</— **-4-£ 2 -H , *+-2fl£cQf.p+ 2<2i"Cof ((3-f-y)+2^-cof.y. 

 Porro ex aequatione noftra pofteriori colligitur 

 </-+«of.(a+p+-y)— -<?cof.a-kof(a+(3), feu ob a+(3+y— 360°-$ 

 </+- f cof. $ — — a cof a— £ cof. (a 4- (3) , 

 fumtis igitur quadratis prodibit 



dd izdczoQ+cccoL <T— * 2 cof. a*+-£*cof (a+|3)*-r- 2 a b cof.a cof.(a+ (3), 

 ex prima vero aequatione fit 



cc fin $ 2 zz /firux a -f-£ 2 fin.(a-f-(3) 2 -f-2tf £ fin.a fin.(a-f f3), 

 vnde has aequationes addendo colligimus. 



II. dd-^-zdccoLS-irCCiz: aa-±- zabcof.fi -}-bb, 



quae eft aequatio Jecunda refolutioni Tetragoni infer- 

 viens. Tertia aequatio eft ifta primitiua : 



III. tffin.a-h^fin.(a4-f3)-f-ffin.(a+-p+-y)=o 

 et quarta demum 



Tom.XIX.Nou.Comm. Cc IV. 



