PROPRIETATE GAVDENTIVM. 169 



cx translatione pnRdi c in y ortiim debet efle — o, 

 vel dabit valorem ipfius P.ty. Pofito autem ^Q^= 

 L^.f-HM^.;-f-Nrt'A-H-Vrt'/)-hW</r, erit pro difFe- 

 rciuialibiis valonbus cxhibitis lubftituendis vt fequttur: 



d...kdx:=zV.cy-^p 



H II I n n n 



'■ ■ ■ di 



iii iir I 



^.ildx — '-hdx^.%cy 



<^uorum v;iloriim fuTima dabit hanc expreflloncm P — 

 ^-^V-H^r^H-M</.v negledis negligendis. Pro 

 curua quaefita crgo habebitur ifta aequa^io 



ddy^-dVdx-^^^^-^mdx^-zno. 

 pofito pcrpetuo dx conftante. ■«, 



§. 14., Qiio hanc regulam exemplo illuftremus frt Fjgu» 3. 

 iiobis propofituin inter omnes curuas per punfta A et M 

 transeuntes eam determinare, quae cum fua euoluta AO 

 minimum fpatinm AOM comprehendat. Pofitis ergo 

 AP^.v, PMiiir;', AMrzj-, erit radius olcuii MO — 



" dxddy pofifo ^x conftante. Fado ergo dy—pdx 

 erit ds~dxy{i~\-pp) et ddj — dpdx^ vnde fiet 



radius ofculi MOn -j- . Atquc pofito ^p 



Tom. VIII. Y -i^rdx 



