no DEMONSTRATIO THEOREMAT^ 

 Piinaum igitnr quaefitum / ita detemiinabitiir , vtTit: 



-y{bb-ff)-^V{b-V{bb-ngg)){y{bb~gg)-\-V(bbn-gg)) 

 V^bb-nff)~\ V{b-V[bb-gg)) ( V{bb - gg)-v V{bb-ngg)) 

 Verum hoc pundo / ita determinato, ob p~f et q-g^ 

 partium inuentarum differentia erit 



Axc.Af- Arc./r— — -^^ — ^ ^""^^^^ ^ ^^^^'^"'^^^^ ""gg^^ 



CoroU. I. 



40. Cnfum huius problematis iam foJuimus 

 i§- 30), quo arcus fecandusr A^ toti quadranti AB afTu- 

 mitur aequaiis Si enim ponamus g—b, reperietur, vt 

 ibi, 



f — 7 -, / I — V u — n) , ^ b{br—a) &V& 



J ^ " Ji ^ ►^ bb—aa — V^i -+- b) 



M partium differentia prodit -^^b-bV [\—n)—h'-u. 



Coroll. 2. 



4;J. Si nrcus,dati Ag dter -terminus in fuperioc-i 



quadrante exiflat, eique eadem abfcida AG— ^ refpon. 



-deat , eaedem lue formulae valent , nifi ^uod valor 



.radicalis V^bb-gg) negatiue capi debeat , radicali 



V{bb-ngg) non mutatQ. 



C o r o 1 1. 5, 



42. Ita fi proponatur tota femiperipheria , -crit 

 ,^=10, QX V {bb-gg)zz:-b, vnde pro hoc cafu ob- 

 •Sinebitur : 



/= g-TrV 2 b[b - y{bb- ngg)) •- b 



