# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175905688X:0093
# Permalink to this reading: https://leibnizlegible.com/page/175905688X:0093?run=74
# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 71, page id 175905688X:0093
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=93
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000093.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 recognised, mean confidence 0.76
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

2
de
CC+
C qua
en
olm
2∞ol
ligca
A F 1
actaC
adice
oc vicit
qud A
AC Vet
Qua i
NCcOS
que l0
Callat
L I B F R T E R Y E U 5.
97
rum, qui per impares numeros desionantur, non mu:
catis.
VEAlOco
 X 4 - 4 X 3 = T9 X N  1O6 X =- 12O∞ O,
Tcribatur
L ∞t  a ∞3 = T9 X X = Cd6X = + 2O∞ O,
habebitur Aquatio, in qua una tantum est vera radix,
Quae Cs S; _ EreS Fallae, quae LUNE 2, 3, 824.
Ouod li vero non cognito radicum alicujus E qua- Duomodo
tionis valore, iplas augere vel diminuere relimus quan- aueeri vel
ricace aliqua cognita, oportet tantum in locum inco- possint 
oniti cermini substicuere alium, qui cadem hâc quanti- quarcons
cace major sic vel minor, cumque ubique primi loco raaices, ss
CUbrOgaTO.
Vel ausere velimus znario radticem hujus A quatio-
niS x -f 4 X3 = +9X X = 106X - 120∞0, lumenda cA
ylocox, et cogitandum, quantitatem hanc y majo-
rem esse quamx, exceslu 3, ita uty - 3 ipsix sic 2equa-
lisi loco autem x x scribendum est quadratum CXy - 3,
quod es ry - 5y f9; ee loco x lumendus est ejus cu-
bus, qui CAt 33 - 9yy - + 27 7 = 27; _ denique lOcOx4
ponendum est ejus quadrato-quadratum, quod est
9t = 22 93- + 5 47y = 108γ- + 81. Vnde li scribamus F
lummam praecedentem, substituendo ubique y PrO X
InveniCEuT
9t - 12 93 + 5 4yy - 1087, + 81
+ 493 - 3699 + 1087 = 108
199y + 1147- 17L
106y,+ 318
120
9t  893- 1yy- 89 X ∞ O, VC)93 - 89y 19- = 8∞O.
ubireraradix, quae erat s, jam estS, Proptes ternarium
ipsi additum.
diminur
B COBMI-
tis
Sim