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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 137, page id 175906937X:0161
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=161
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 recognised, mean confidence 0.77
# 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.

dc per corle
ex olX -
 lren
10r iop
quaml.
deoque
DC PECM
Y. e COn
nL
IONISPIO
1.
es, aIEUI
5 propoli
0 pel cm
cet COM
ees
aGudlio
UdHI
ita ea
oponiale
qualemi
n; de sit
Il quaiua
A O U A Y EO N I M.
37
lis, erit x vel aequalis, vel major, vel minor quam m, e l. L m
major quam x. Duod si tuerit x minor quam m, multo maxis
iplaminor eric quam l. L M.
Deinde ex eadem aequatione xt L pt ∞ IX3 - L MM M X X etiam
constat, quod Lx: Lmm xx majus est quam pr. Atqui inventa
CA l- + m major quaim x. FrsO llX X L I m x N majus crit quaim
lX3, d IIXX L IM X X. LMM XX MajuS quam P=, ideoque XX
majus quat JI. F Im Z mm. Finc cum IIX X L 2 LM X X + MM X X
multo majus sic quam pr, erit quoque per consequens la L M X
ajuS qua PP, ee _ major quam
quamlibet duarum radicum aquationis propolica majorem esse
B4
PF
quam V II F Im f mm _J. L. m AE minorem quam l. L m.
Caeterum quoniam inrenimus, quod x neceslario es minor
quam l. M; Patet, (i x supponitur major quamm, cam Forein-
ter hos terminos l. Lm de m. Ouod sim tuerit aequalis aut 1n 2-
jor quam x; quoniam lx3 Lmmxx majus est quam pt, crit ee
ImXX LMmXX majus quam p, dc va majus quam im f mm d
pa
major quam V Im L mm. Ouare unaguae que duarum radicum
aequationis propolica major erit quam minor duorum termino
rumm ee V im. + mm. at minor quam l. L M.
C A P U F IZ.
Delimitibus aquationum quatuor dimenstonts
terrio termino carentium.
Prop. T. X t LX3 X- B3X = p+ ∞O.
Er trapnem est x + = l ∞3 ∞ p + = B3 X. Unde Patet.
quod  auas est ipsil, tore quoque x aequalem ipsi
hoc ett, ln3 ∞ pF, radix ae qua-
tionis
ideo que si tuerie l aequalis ipsi