Arithmctic^: crgo ^ l^,^E ^ ^ ^ E ¥ :
(luppofito quod^ ==E)Icd|^:^ ^^"^, -^^^T:er-
go -x.rz'' J= £ ^E: crgo A /» Z ^ X := E - FmX
i»Z:ergo A t= --^^-x— .Igitur prius cx quantitate E
aufcrendo productum cx quantitatc D diuifa per
quantitatcm Z,atqueproJu(iumexhacfubtradionc
duccado in produclum cx quantitatc X dadi la

q^uaii-



Dubia Mathematica foluta . 117

quantitatem Z: denique pcr has opcrationcs inuen-
tam quantitatem diuidendo per diftercntiam quan-
titatum X &: Z, habcbitur quantitas arquahs quanti-
tati A,qua: ell minor cx duabus quantitatibus inuc-
nicndis ; inuentx huic quantitati A addcndo cogni-
ta:n inucniendarum quantitatum difFcrcntiam D.
habcbitur quantitas asqualis quantitati B quas eft ma-
ior ex duabus inucnicndisquantitatibus »

Suppofito particulari cafu problematis 9.C. i.lib. 2.
Logiftica',D il.E ^ 9.X 3.Z t=^4,adeoque F

&4.1gitur ^ ?z-LiijA^.*£i. ^jijp* 6o:crgo

minor quaniitas A cft 60: maior vero quaniitas 1>
eft 60 t II jhoc eft 71. Hinc itcrumpatccallatam
vniuerfalcm folutioncm conucnire cum particulari
folutione propofira in Logiftica.
Nota . Vr in cxemplis mclius appareat , & fenfiis ,& vfuy
regular , qux propoiiitur capiie 9. lib. pri/ni Logifticx: ibi-
dem libro fccuiido affcruntur varia probleniara ; hxc tamcn
fingula tanrum propoiita fuut in calibusaliquibus fpeculati-
uis; alia adcumdcm finem feruientia problematacontenta
partc fcptima idea: I.ogifticar , proponuntur incafibus pra-
dticis . Hoc pofteriori modo propolita problemata, plerum-
quemagis arridere coufucuerunt Mathcfcos candidatis ; fi
hanc aliamue ob caufam , dcfidercntur ad cafum practicuni
rcftritfta lingula vniuerfalia problcmata hic propofita in cafu
fpeculatiuo : fufficit imitari titulum problematis 23. partis
7. idcr Logiftica: : ad cuius imitationcm , problcma p.quod
liic vlcnnum locum tcnct, in hunc modum poJfet proponi.
