Opuscula. 219 
eft A S =: / 5 corpus percurrat B X — x : velocitas centra 
in S fit — F, velocitas corporis in X — // . Dillantia S X 
:=z e~\-s — jsr — z.. In data diftantia = b potentia trahens 
corpus fit — / : ergo in diftantia = potentia — Si» 
militer dum corpus praEditum eft velocitate — /, refiilentia 
fit = : ergo pofita velocitate = u , refiftentia erit =z y- . 
His pofitis fefe ofFert xquatio 1 . — — m u d h ^ 
{tdn—^—; ergo fada fubftitutione , & divifione per dx^ 
liet xquatio 1 ip , ±^ — — — t?2. — . D -r— ; fed — — , 
^ ^ b fds ds ds ^ V k ^ 
vocato fcilicet tempore = t: ergo 1 s ^ , L£l — 
. D 4t > feu z>dt~^dx^ ^ ^ ■ . D . Ut formula eva- 
dt * f zi p d t 
dat fimplicior, ponatur '^^^ = r r , = ^ , & fefe offert 
zdt-^gdx-r\D^. 
^ dt 
Sumpto tamquam manente elemento dt^ aequatio hanc 
formara induit z^d t^ — gdxdt~r^ddx\ fed dx — d s — d 
^ d d X =1 d d s — ddz j ergo z> d t^ — g d s d t -\- g d d t 
= r^dds — rUdz; atqui d s - 111 , ^ d d s ^i^: igivat 
gdt"- 1- Vdt^ -\- gdz>dt — ^dVdt-^r^ ddz>, qu2e ita 
fcribatur — -^— — z //^^ //^ — 
+gvdf^ = ^ • 
k 
^quationem hanc multiph'catam per do additis detradifque 
terminis aequahbus in hunc modum diftribuo 
f_(pdVdt — v,<^dt^ — gcpdzdt — 
--{--^(i^Vdt^-^-gzd rpdt -\~r^ d ^ dz. — r^d (d d 
— y^xidda^ — g%dcodt 
'■i-r^ x,d d^ 
