C 3 
tU Centri circuit R ab Axe^ efi femfer differentid inter \h p 
& ^-7h'^ -h S'^^ / '^^t^^^tur^ centrum cadit in Axe\ / p 
mAjor fit qurni ^jh^-j-i^^ad finifiram Axis^ fin minor ad dex- 
tram. Si itaf, Cubi ex f VH, ( hoc ^.x f b b — f p qmm 
mminemm d) Latm quadrat urn five V d d d, maju^ fit quam 
H Ryfive differentia inter ^-zb^+iq^i b p ; refer it ur cen- 
trum R intra ffatium N P Paraholoidibm V P X, V N 1^ 
ac reEta interminata D N P circumfcripturn : ac froinde circu» 
Im Parabolam fecabit in tribm pmtiis Y, Y, ad dextram li* 
ne^BKfitis, atq\ adeo aquatio tres habet radices Affirmati-- 
vas» Centra vero extra hoc ffatium N V P confiituto, nan ni-- 
fi una radice Affirmativa exflicari fotefi. Hie obiter notan^ 
dum redtam DP Paraboloidem VPX t anger e in funclo P, ex^ 
iflente E P z-^b^; alteram vera V N L fecare in funtlo 
it a ut demijjo in axem Perpendiculo N Y ¥ fit pars quarts, 
ipftus E V five 2-4 bb, N F vero i^gb^ V W autem, qua e 
puncio V axi perpendicular iter ereSta line a D P occur r it in 
aqualis eft b b five\E P. 
Hinc tuto concluditur fi in liquation e vel p major fit quam 
•fbb, vel qmajor quam ^-yb^ y non nifi unam eamq\ ajfi>rmati'^ 
vam radicem reperiri ; Fallit itaq ; Regula Cartefii ( Ediit. 
Amft. 1659 f^"^' 1^) uhitotveras dari radices quot funt in 
dquatione mutationes figmrum & — pronunciat^ fruftra e-- 
tiam in Commentariis fuis Sphalma hoc excufante Schootenio ; 
Fingi enim pojfunt infinite plures aquationes pracedentis formu- 
lae tres fignorum mutationes hahentis^ qua unam tantum quam 
qua tres habeant radices. Propofitio etiam quint a Seciionis 
quint a Art is Analytics Harriotti Noftri^ uti Prob. 1 3 Nume- 
rofa Pot eft. RefoL Yi&tXj vix fa is fir ma eft^ cum ex limit at t- 
onibus quas ibi pofuerunt^toti par allelogr ammo P I V W id con- 
veniatj qwd folifpatio N V V jam competere probavimm^ h oc 
eft ut centrum prabeat circulo tribus aliis punBis prater v cr- 
ticem P'araholam fee ante. 
QunintitM autem(\i five terminus ult. , datis h& p^ea lege 
Ht p minor fit qadm |bb^ acc urate limitatur expracedente aqua^ 
fione^id d b^^-jq c/^^b p ;cum fcil. Cir cuius Parabo- 
Ddd - to 
