aaa D E M T F 



25. Sumamus abfciflas a pundo medio C, fit- 

 que CArr CB— ^, ideoque a—zb-^ et ponatur 

 CPrzc;; tum vero flatuatur m-\-n — b et n-m:=zcj 

 ct habcbimus , ob x~b — z^ 



cvrzbz — cc et ^«— ^ci-i-rt: 



hincque yy nr — ^^( s ^ - <ri^ ) , vnde patct, curuam elTe 

 hyperbolam centro C delcriptam , cuius femiaxis —c, 

 et dillantia focorum a centro CAniCB — ^, foreque 

 tang. 5 ^: tang \y[ :=: b -\- c: b — c. Cum porro fit 



</j— v(^^ -cc) - 3 , erit //.v -f-^j' rr<(; 



^dz =.- cc(aa-cc ) ? ^nde quia ob Cr=D-HE=r o 



et Br=A habtmus ^a''-!-^/ r=4A^<^/'( jzzFc + t^c) 



_lJL^£^'-' erit celeritis in ^-^iS^^L^^-ilihhSS^' 

 — bbz.'x. — c* •> "" ceicriias m ivi_ ^, -v(6i2--c*)? 



et pofito srr^ , prodit celeritas in verticc hyperbolae 

 zz: ^^jYf—iil ' Etfi ergo hyperbola abeat in ellipfin 

 fumendo r>^ , tamen euidens eft , motum in ellipfi 

 abfolui non pofle , quia celeritas foret imaginaria , ita 

 \t hoc cafu corpus M nonnifi in hyperbola moueri 

 poffit. 



26. Qiicmadmodum autem ifte motus in hyper- 

 bola fiiturus fit comparatus, ex temporis ratione collige- 

 tur. Scilicet cum 



fit ■Vidx^-^-d/)-'-^^^^^-^ erit 



adt^ ^hbcg—-^;i-^~zrnT ideoque 



n.Cty nkb Cg —j V;,(za_c O ' 



Per redudionem autem integralium conftat efle : 



Jy afisTrTvj — 5 ^ Z\ZZ — CC) -^ 5 ^ y a.l a z —cc) 



vnde 



