Opuscula. ' i6i 
Si velis curvam defcriptam a pun^lo A, inveni per fe-' 
ptimam valorem dpc, &l fubftitue in fexta, & habebis ^qua° 
tionem qusefitam : nam y data ell per y , Si vero velis xqna." 
tionem curvae defcriptae a corpore B , fac reperias in feptima 
valorem d ;>c , & colioces in fexta j prodibit enim ^quatio 
qusefita . 
Itaque inveniemus d x =. ^^Z^ : ergo A C* B C* 
y y ix y dx ' 
fito ijj;* pro funt enim xquales, " * 
, II 
A C* -H B C* . / dx"- A Q: C* dx^ — BQ_^C^ yUxl _ 
A -4- B . Q^C*i/, live AC^- BC' . /./^/x* — 
AQ^O/dx' - B4'CVi;v^ = aTI . Q_^C^ ^ 
Demum ±}i.QC.yA + B 
i/"^t=tTt — ttt; — rrTTT' 
» AC' BC' . / . j - A Q! C* / " B Q^ C* / 
In qua jequatione , quse pertinet ad curvam defcriptam a cor- 
pore A , quoniam y datur per y , eft enim y -=. b b — y ^ 
indeterminatae feparatae inveniuntur . 
Eadem methodo determinabis sequationem curves defcriptae 
a corpore B , nimirum 
1 I I 
y dy .qc .V a-{-b 
^AC^H-BC\/.>-AQ:c' >~B(icS' 
Ex his nullo nes^jrtio inveniemus 
ergo 
AC'-hBC\/.j)^'- AQf C' /-BQ.'C' / 
r, K X tidp^ 
