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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 166, page id 175905688X:0188
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266 FR. Q SCHOOTEN COMM. TNLFB. I.
videlicet ZZ∞ aZ F bb, ec secundam y y ∞ - a y L bb, ex
nulli deceriminationi lunt obnoxix, ee semper per duas radices
explicari pONUnE, unaM veraM e alEeraM FalLAM. VIE SI BOn
tur Z ∞C, (eu Z = 6∞0, de Z ∞ = d, CCu Z. + d ∞ o de multipli-
CCTUIF Z = 6∞ O pet Z = d ∞ O; fCF
2
c
2
c
+ a L. 6d ∞ 0, Teu
∞ = Z Fcd. In qua aequatione li Cacuamuss majorem esse
quam d, ica uc excessus sit penesc cum signo -f, at que (  c - d
interpretemur per L a, _. cd per. L bb, habebimus candem
aequationem, quam prius, nimirum Z=∞ a Z F b b. Aded uE per-
Spicuum sic iplam de duabus inaequalibus radicibus esse explica-
bilem, majore rera e minore Falla. AErero si ponamus cmino-
rem quam d, ita ut excestus lic penes d cum ligno , atque
C d INEEFPECLCMUEPCF  a, ec f. cd Per - L bb; prodibic
aequatio secunda Tormxe: niITUM, Z3 - aZ. L bb, quipre
quae d duabus ina qualibus radicibus explicatur, quarum minor
est rera, major autem Falsa. Denique Sid consticuatur ip(ic aequa-
lis, destruent se inricem. fce =d, _ cranclcer lecundus ter-
minus aZ. _ erit Aquatio Z: ∞ X F. bb, cujus dux radices, re-
1a f b d Falla = b, Cunt ae quales.
F quibus omnibus apparet, ad aquationes allatas Geometrice
relolrendas, carum que radices juxta regulas hic traditas commo-
de explicandas, reguiri, ut ultimus terminus delignetur per bb, aut
ad eam formam, licur superius est octenlum, reducatuT.
501
es
Mt
prelier
certu
apt
tionest
quila
ViBII
ulinq
pliciss
is
Ailsiet
Metsiu
Sii11I.
cieil
Qu. IIIII
enju
abiposse
Pinmu, 
possit ext
Pincta ret
munem ex
Lbstestia
MaiuI,
GeD11
punct
111