ET SOLVTIO TR0BIEM.AT1S. t53 



( 5 bb-\-^bV [bb -^^)+3 b^V [bb-ngg)-\-'^ [bb-gg){bb-ng^ 

 ^pq=z~ V{b-V(ibb-gg){b-V{bb-ngg}). 



CoroII. 2. 



45. Si arcus propofitus A^ fit femiperlpheriac 

 aequalis, ideoque ^=0 et V{bb-gg)~-'b^ ttV^bb-ngg} 

 zzzb—^^jf- ^ fiet pro hoc calu : 



pp-\-qq — bb ct 2.pqzzbg:izo 

 ideoque p—o et qzzb, Arcus fcihcet pq abibit in 

 quadrantem AB, vt natura rei podulat. 



Problema fbluendum. 



4^. In quadrante elliptico AB, arcum affignare ^ab. fV» 

 pq^ qui praecife fit femilfis arcus quadrantis AB. ^^' ^* 



Solutio. 



Ponantur ellipfis femiaxes Ckzna, CBzr^, fit- 

 que breuitatis gratia — ^j^ — n. Tum ad A ducatur 

 tangens, in eamque ex pundis quaefitis p ct q demifla 

 concipiantnr perpendicula pV et ^Q., vocenturque 

 Al'—p et AQ_~q. lam manifeftum eft, hoc proble- 

 ma effe cafum praecedentis , quo pundtum ^ in B affu- 

 iritur , ita n hoc fit gz:::^b. Quo valore indudo 

 formulae {§. 44.) praebcbunt 



pp-^q^-^—^^^\sbb-:^bbV{i'n)) et 

 zpq-bbV^^^-^, 



Tom.VII.Nou.Com. V At 



