17« SOLVTIO PROBLEMATIS 



ita vt hinc iftae ternae formulae refultent : 



^ gg-\- ^h h -ff—. 9 a a 

 s.h h -\-zf f -gg — g b b 

 i.ff-\-igg-hh^9CC. 



4. Quae cum fimiles fint ipfis propofitis, cod- 

 cludimus fi pro lateribus 2 a, 2 ^, 2 £• fint redae 

 bifecantes /, g, b tum pro lateribus 2/, 2^, ^h 

 fore redas bifecantes 3 <r, 3 ^, 3 f, ideoque pro la- 

 teribus /, g, ^ redlas bifecantes | «, | ^, | f . Quare 

 inuento vno huiusmodi triangulo , fi redae bifecan- 

 tes pro lateribus noui trianguli accipiantur , hoc ea- 

 dem gaudebit proprietate , quia in hoc redae bife- 

 cantes funt tres quadrantes laterum praecedentis. 



5. His obferuatis folutionem quaeftionis fequen- 

 ti modo aggredior. Primo binis tantum formulis 

 fatis fadurus eas ita exhibeo : 



{b-c)*-\-{b-\-c)"-aa—{b-n-\-{h-^c^d){b\-c-a^—ff 

 [a - c)"-\- [a + c)'- b ^—{0-^)"+ (.ai-c-\-bXa-V(^-b)-gg 



ftatuo igitur : 

 f^zb—c-i-Cb+c-^-a^p et g—a—c + ^a+c+b)^ 



vt fada fubftitutione diuifio pcr a~\-b-\-c fuccedat, 



hoc modo obtinetur ; 



b-\-c-a—z^b-c)p-\-{b-\-c-\-a)pp 

 a r^e — b — 2. {a — c) q -\-{a -i- c -\- b) q q. 



6. Ex vtraque aequatione definiatur vator 

 ipGus c: 



C ~ ^'^' -+-Pi>)~b'i —1 p^zl^^ frfi -4- <?q) —g(t — ;$ — ?<?? 



vnd€ 



