(30 = 



ius diffcrentiale crgo habebit hanc formam; d T — T'' 3 /. 

 Hinc igitur cum fit a — a-"T, crit 



dazrzx^^T dt-\-nx''-' T dx^ 



vbi cum fit r=^-, erit 3 ; rz i> — 2J^ ; vndc, fi haec for- 

 ina cum gencrali da^:zpdx-{-qdj comparctur, crit g ^^ 

 A-"-'T^ et />r«j»-"-" T — x''—'jT' — nx''-' T -x''-' T't. 

 lam acquatio pro Traiecfloriis hac forma cxprefla rcpracfentetur : 



p d X -\- q dj z:z (q d X — p dy') 

 itque habebimus 



pd x-^-qdy^^da^x^^T' dt-\-n x""-" T B r , at 

 q dx—pdy = x''--' T'dx — tix''-' Tdy-i-x''-' T' tdj 

 s z=.v"-'T'a.v — n.v'*-' T tdx-hx^^-^T^ttdx 



— nx^^T dt-hx^^T' tdt, fiue 

 ^ D.v— /»a/=zA:'*-'aA'(T'(i-^;0-«T0--v"3r(«T-T'/), 



quibus valoribus fubllitutis acquatio pro Traicdoria, pcr x^ — ' 

 diuifa, crit 



xT'dt-^nTdx-6dx(TXi-i-tt)-nTt)~^xdt(nT-T't'). 



Quoniam hacc acquatio duas tantum variabilcs .v et t inuol- 

 vit, eae fpontc a i"c inuiccm feparantur: rcpcrictur enim 



X 6iT'ii-t-ffi — n T f ) — TiT * 



Quodfi ergo haec formula pcr fojos logarithmos intcgrari po» 

 tcrit, obtincbitur acquatio algcbraica pro Traiccloriis. Gcne- 

 ratim autcm hoc cafu conftrudio Traiedoriarum Dulla prorius 

 laborat difficultatc. 



§. 50. Pro Traiccf^oriis igitnr re(flanguh*s, vbi ?r:oo, 

 habcbitur ifta acquatio: ~ - ^UlSLnJJlLL^ . quac, curii fit Tdt 



=:;aT 



