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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 66, page id 175906937X:0090
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E N A F U R A
2 Propositio.
Ad cognoscendam naturam dt constitutionem prioris aqua-
tionis propOlIex, Formemus per mulciplicationem harum dua-
rUI X X bX- [ CC∞ O _ X -- b ∞ O hanc aequationem
X3 X = bb x = b56∞ 0. Suppolico autem cc majori quam bb,
LCC
ipla eandem habebit Formam acque primma propo(IEa X3 X L MMV
n3 ∞0. e per conlequens ejuldem erunt natura d constitu.
tionis. Fiat igitur illarum collatio, d per comparationem tertio-
rum terminorum habebimus c0 =bb m m. Unde constat, si
veraradix b cognoscitur, cc Fore aequale mm Lbb, e conse-
quenter x x.  bx- L mm f bb ∞ 0. Qua aquatio duas reliquas
radices respicie, ac cum rera radice b concurric ad Formandam
aequationem propolicam.
Praecerea, acta comparatione ultimorum terminorum, habe-
bimus n3 ∞b66. Unde lequitur oc esse aquale 7; d COgnItd
rerâ radice b, hanc aequarioneim ax L bx   ∞0 similiter
duas religuas radices respicere, ee cum rera b concurrere ad For-
mationem propOlIEX _quatIOMIS.
2 Propositio.
Dro secunda aequatione propOsita Formetur rursus per mulei-
plicationem duarum x x - [ b x- f- 56∞ 0 _ X - b ∞ O aequatio
X3X - bbx - b56∞ 0. Supposito autem bb majori quaim66, ha-
L60
bebic illa eandem Formam atque secunda ∞ 3 F -m M X = n3 ∞0,
ee per consequens habebune eandem naturam e consticutionem.
Fiac iBIEUE COlIaLIO, _E Cx COIPAFALIONC EETEIORUIM TEKMINOTIIM
habebimus bb -c0 mm. IInde constat, c0 esse ae quale bb -- MM;
et, cognita rera radiceb, aequationem hanc xx L bx. F bb- mm0
duasreliquas radices concernere. POrro, ex comparatione duo.
rum postremorum terminorum, habebimus n3 ∞ b00, unde se-
quitur ec esse aequale; e cosmita rera radiceb, hanc ae quatio
nEM X X L bX F  similicer ad duas reliquas respicere.
210