POLYGONORVM RECTILINEORVM. 205 



et litera a, b> c, d . . . g, has feptem aequationes 

 nullo negotio confequemur : 



I. gg— aa-\-bb~hcc .... -\-ff 



4-2^cof.(34-2^cof.((3+Y)+2^cof((3^Y+^)...+2flfcof.rp4-y--i-?) 

 -j-2kco(.y+2^co(.(y+<J) -f-2£/coi.(y+-£...-+£) 



-f-2^co(.£-f-2^cof.(£+-e)-f-2^cof(<J-M-f-£) 

 H- 2 de cof e-f- 2 dfcot(e -+ £)■+-• 2 efcof.% 



R- gg-\-ff~- aa-\-bb . . . -\-ee 



-\-2gfco[.y) -H2tf£cof.(3-H2^cof.((3+-y)...-f-2fl*cof.((3-f-y-f-£-+e) 

 -f-2^cof.y-4-2^cof.(y +-^)-H2^cof.Cy-+-<J-+-e) 

 ^-2£fl , cof.£-f-2^cof.(£-+ e)-f-2 decoLs» 



III- gg-\-ff-\~ ee —aa-\-bb-\-cc-{-dd 



i 2g/cof >i+2^cof.(-y]+^)-|2^cof.^ -+2*fcof.(3+2tfA:of.((3+yH2^cof.((3+y f £) 



+2kcof.y+-2Wcof.(y+^)+2^cof.<J. 



IV. flfin.a-hKin.(a-f (3)-+-^fin.(a-f|34-y) f-/fin.(«-+(3-^y...-f-^)— o 



V. flfin.a-f-^fin.(a-+-p)-f-ffin.(a-f-(3-f-y)...-f-^fin.(a-+p l-eK/fin.T^o 



VI. flfin.a-f-^fii'.(a-+-(3)...-+-^fin.(a-+p+-y-f-^)-^fin (y\-\-^)~fC\n.y\—o 



VII. fl fin.a-f-fl fin.(a-f-(3)-K fin.(a+(3+y)- flYin.(>H-£+e)-? fin.(-vi+^)-/fin.'*|=o. 



Simili vero modo pro Polygonis plurium adhuc la- 

 terum procedere licet , ita vt praeter prolixitatem 

 et laborem has aequationes litteris confignandi , hqc 

 negotium nullam prorfus aliam pariat difflcultatem. 



14, De aequationibus his noftris in generc 

 obferuare conuenit , quod illae quas fingula Polygo- 

 ni latera ingrediuntur , fecundae fint dimenfionis , 

 dum ipfa quadrata horum laterum inuoluunt^ iftae 

 \ero aequationes in quibus vnum Polygoni latus de- 

 (ideratur, primae funt dimenfionis feu lineares, qua- 



C c 3 propter 



