^f VE ^VANTIT. TRANSCENDEnr. 



Qiare cum arcuum p^ et ^r difFerentia fit =:~^(r~p) 

 habebimus generaliter ; 



Arc. pa—Xrc.ar — ^'"'-^^' ^^'' -^^'^^^-^^ ^ ^■^'•'"' -^PPt^fi^az r'^^'» 



fiquidem pundum ^ ex Coroll. i. aefiaiiuur. Erit 

 ergo 



^Z: • i l_ _Jl_ 2_ VI '^ 2 r7> 



P 



^, , ProbJema. 7. 



1 ah. I. ' 



Fig. (?,, Propofito ellipfis arcu quocunque fg, a dato pun- 



ao p abfcindeie arcum pqrs, qui ab iliius arcus fg 

 triplo, differat quantiiate geometrice aflTi^nabili. 



S o 1 u t i o. 



Sint, Yt li.idcnus, pund:oium datorum f^g et p 

 abfcifT^ie AF=z/, AG—g. AP— />, ac quaeratur pri- 

 mo arcus A^, cuius abfciffa Cit Alizzk~ ^r^=^?— ellfc^^ 

 vt fit Atc.ak-Arc.Jgziz—^^. Tum quacratur pun- 

 aum g, Yt firA(i=^z:|^;^,lI^^P^^;^). i^^equc 



ieritque Arc./i--Arc.p^- ",\p^-;^). Simili modp 

 porro quaeratur pundum r,,. \t fit: 



j^ __ Sl(£rz:^2hr.^(iL*::I^rr) _ _2r(rr-2<7)IC--fer(rr-fefe)_2^ 

 ^^''3 kq{qq~kk) 



cc 



