POLYGONORVM RECTLLINEORVM. 197 



Polygoni AB confticuit (J), tumque vt ante angutt 

 externi Polygoni litteris,, a, (3, y, £ . . . v lateraque 

 litteris a> b y c r d . . . . » defignentur , erit 



I. «fin.(p^finX$+^^fin.($i-p-l-y)-f^fin.((I)4-p4-Y+J)...; 



+ «fin.($+|3+y...4-v)— o 



II. «cof.Cp+&cof.(0-+ (3)+<r cof.($+(3+y) +</cof((t)+j34- y-+<T). . .. 



+ «cof.((J)+|3+Y... + >/)—©♦ 



Pro his aequationibus demonftrationes tradi quidem 

 poffent y fimiles illis quibus fupra §. 3 et 4 vfi 

 fumus , \t tamen rem in compendium mittamus , 

 placet haec Theoremata ex binis fupra dernonftratis 

 deducere,-quod fic commode fiet. Quia ang. BA.N 

 = BAO + NAO, fi dicatur N A O =: v{, erit 

 « — (J) +- vp , ideoque ([) — a +- \[> , heic vero ad 

 fignorum diuerfitatem attendere nihil attinet y quare 

 fuificiet ftatuifle (J) — a -+• \£> vti figura allata po- 

 ftulat. Quum igitur in genere fit 

 fin.($-hu)z: fin. (a -+- a) cof. xp + cof. (a+ulfin.^ et 

 cof (({) -+- w)=z cof (<x -+- w) cof. v|/ — fin. (a +- ca) fin. vj/ , 

 iiquet priorem iftam exprefiionem 



tffin.$ + ^fin.($+p)+<;fi,n.((p+p + Y)-+-^fin.((J) + p+Y+^... 



4- « fin. ($+-£+ y r . .-f- y) 



in fcquentes refofur 



coC vKa fin.a+6 fin. (a + |3)+rfin.(a+p+ y) + </ fin.(a + (3 + y + £) . . . 



+ »fi.n.(a + f£ + Y •••■+■ *)) 



+ fin.\|/ (tfcof. a+£co£(a+(3)+<r cof (a+(3+y )+^coC(a+-(3+Y+£) . , • 



-KCo£(a+(3 + y...>')) r 



Bb 3 tuiTi- 



