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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 130, page id 175906937X:0154
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=154
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 recognised, mean confidence 0.84
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

130
D E L L M I F I B 1 5
Cu, quoniam xs major est quam, =p; de P ajor quamH, erieprx
majus quam, et xx majus quam,
ip =p Praeterea, quandoquidem  majus est quam v, erit
B4 X
majus quam v, de Ippa majus quam l∞3, quia pinajor est
P4 X
qua x. AEqui est X +- = lX 3∞P +. ErSO=.L IP PX Majus erir
quam pr. Flinc, mulciplicat â utra que parte per l, e dirisa perpp.
habebitur ppx-L Ilx majus quam lPP, Ec x major quam
6p
II. + pP
De aequationibus quatuor dimentionum, in quibus secundus
de quarrus cerminus deticiune, nihil addimus: liquidem illa ad
quadratas reteruntur, ita uc iplarum limites eodem modo quo
quadratarum inveniri POsint.
C A P U F VTI.
De Agnationtons quatuor dimensionum, secundo
termino carentibus.
Prop. T. X+ X - MM XX + B3 X = p+ ∞O.
DExtranspolitionem erit xt =mmXX ∞ pF =n3x. LInde app2-
rec, quod, situerie xx aquale iplim m, hoc est, x ∞ m, ctiam
xip(I = sE aequalis fucura. Ideoque sifuerie m ae qualis ip(1 , hoC
eA, mns ∞pF, radix x aequationis propolita a quabitur lingulis
: e linxquales tuerine, unaqua que radicum
aequationis propolita, tire unam sire treshrabuerie, Cemper erit
inter duos holce terminos. Praterea cognolcitur, si duohiter-
mini fuerine aequales, hoc est, mns ∞p+, substituro mn. locoptin
requatione propolita, eaque dirisd per x -m, tore, ut non possit
hrabere aliam radicem reALEMI PTRTEF M.