145 



Sit nnnc B(3 élément uni cnrvae d»^tae, A'^B'' positia 

 peipendicnji AB icspcciii hiiJLis curvae^ quippe ita motae 

 ut punctLini B descripserit elementnm B^B aequale elemen- 

 to Yv; exhibeant porro curvae Tp et IB aicns curvamm 

 curvae A similium descriptammque piinctis (3 et B, atque 

 désignât B'(i elementnm prioris curvae, quo abspluto punc- 

 tum p cadit in B''. 



His stabilitis determinanda est lineola B'B. Ilunc 

 in finem ponanlur TV 1=7, DV ziz p, TR=i:i', VR rz: jr, 

 BZ zizu, DZ—t, (iZ' — u, DZ — t', aie. DT — Cp, BD — v|^ 

 et /3D — v|^'. 



Rcctis autem a et BA exhibitis simili modo ut in 

 problemate praecedente applicata YX, eiit : 



•g ^ __. <l{f — p) — luju — g) 



et |3a in iV' — P)-- '^ i^' — 7) (Pi"obl. I.) 



hincque : 



n^ BAzrzÔyzii ■? (f^ — Q — w (n' — u) __ gdt — ivdu . 



imde fit : 



yB=i /BfS^-Pv^^ V av|7ir"^ïI^Hp^— ^^"•;|:'"'^^ , 

 Ope solutionis probl. praec. autem invenitur : 



I-^ A'' =— [(p^ — v|. 4- ^(u' ~^)±^ ■u>'ii' - t')^ ^ 

 Mémotm de i 'Acad. T. VI, 19 



