FR03LEMATIS I^OPERIMETRICL 141 ,1 



Troprietates , _^y „^ j^,,-_.> Vahres htterae P 

 propofttae. ' ^ - d^ ' ^' ^^^^"^^ rejpomlentes, 



J. /Tdx, dT — Mdr - - -^—mdx. 

 \\. jTdy.dT — ^^dx - - Y~^dx. 

 m. jTds,dT-^dx " - P — d. Tf 

 IV. /Tr/j,^TrrM^j - - Pr::d.T^~M</j 

 V. /T ^.r , </T— M^/H-Wx -Y—^^dx 

 VI./T«'/, ^T— M^i^+Nfi^A: - P— N«/.v. 

 VII./T^j, ^T=M^>-hNfl'.v - P=:d.T^-M^j 

 VIII./T ^A- , //T=:L^i~f-N^.v - P — L ^-. 

 IX./T</, ^T— L(/i-i-M^ - PrrL^A-^ ^i^ 



X JT</;c,iT-L</i"|-M<^4-N«/.v.P =1 ^-^^-hm ( L ^ -h M ) 



t Ldsdydq 



XI./T^',iT=L^i-t-M^jH-N^.v ,P-^- -^ i^d.'^Hd.dsild^^Jj. j 



f-Lds^dq 



XII./T^i,^T=L^i4-M^-hN^.v,P=^'^^''^^'-^'''''^-'^'^^''5l^^^^|^^^^^A^^ 

 XUl.r^^^^dT—Ndx - V — d.Tds^^-^dj^^^imdy^-^nds^) 



XIV .fL^^^dTzMdj-^Ndx jPm d.T^i'"-^^"-- ' {mdj^-\- nds >Mtf j'"^" 



XV/^^^;,^TrrL^i-HM^^-f-N^^, P:=: 



^ Lds^dy-^d q 



fJ {Lq-^M.]ds'^dj''-d.Tds'^'dj''- ' (mdj'-^nds^) ( Lq-^-M^ds^^dj"*- 



§. a5. Ope huius taferulac nunc perfacile erit pro- 

 blemata tum primae tum fecundae claflis refoluere. Qiiod 

 ^uidem ad primam attinet , in qiu quaeritur curua , quae 



S 3 omni- 



