C V R V A R V M. 73 



Exemplum. 



45. Propojila fit linea curua , cuiui arcus ad 

 qiiampiiim reSlam variabilem v rc/atuy hac forumla 

 ititegra/i /vfrir^xT; exprimatur , cuiusmodi curuae al' 

 oebraicac injinitae ex/.vberi pofjum , in qua a purUa 

 Y arcus ahfcindi oporteat PQ^, PR, PS, ad dalum ar- 

 cum A B rationem tensntes ve/ acqua/itatis , vel dw 

 p/am , ve/ trip/am. 



Qiiia hacc cxprclVio in noftra fornna gcncrali 

 non continctur , eo rcdiicatiir poncndo vv — z feu 

 <5 — Vs; fic euim arcus huic nouac "\ariabili z re- 

 fpondens crit -^zf ,_^,JZz<y ^i^^ ^^§0 51 = * et 

 A=:o; B^o C — o; D = o ct Ezn— i,Tndc 

 obtinetur : 



jdcoquc conftituta acquationc : 



o— -i-|-2M(/)-f^)-MM(//)+^7)+2MM/^-4/'7f/'4-?) 



-^Mppqq 

 irndc fit : 



M-f-MM» — ;pftj:t V(M^ — OCf — ^*) 



9 — - MM -+-4p-h ♦ M f > 



erlt : 



fi-^iq^q*) ~/ 2"vTp^) ~ Conft. 

 ftu U:q-U ■.p=zU: h — U :a 



fi quidcm a, ^, /), ^ fint valorcs variabiHs z qui 



arcubus aA, aB, aP ct aQ conucnjunt. At 



Tom.XII.Nou.Comm, K iam 



