# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175905688X:0502
# Permalink to this reading: https://leibnizlegible.com/page/175905688X:0502?run=74
# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 480, page id 175905688X:0502
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=502
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000502.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.79
# 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.

480 LOF AHH ES TLUIDDENEE EPTSF. I.
visibilis, si Propolica divilibilisfuerie, _ ex cujus xequarionibus
iplam diridentibus Facile quoque inreniri possint aequationes,
Propolicam diridentes.
Aumpo in hunc tinem valore aliquo prox, ut lu-
bec. coque subrosato ubique in locum X, GuXFAnEE
dirilores omnes aggregati omnium terminorum; de, si
dirilores hi non pauciores numero tuerint divisoribus
ultimi Termini aequationis Propola, lumatur rurlus
alius valor prox, exploretur que num huinc aggrcgatum
pauciorum dirilorum inveniatur; quod si non Aat, de
nuo pro x alius valor assumendus est, idque tam diu
continuetur, donec inde aggregatum resulrer, quod
pauciores dirilores habeat. Duo Peracto, POnaEUF
x D Z,  alumpro ipliusx valore, hujusmodi 2ggrc82-
cum pauciorum dirilorum luggerente, aeque hicra-
TOrZ. F ec. ubique in locum x substituatur, obcinebi-
curque alia aequatio, in qua Z erit incognita quantitas,
_ ulcimus Terminus dictum aooresacum inventum
pauciorum dirilorum; ita ut haec aequatio calis Futura
lic, qualis requiritur, nimirum indirisibilis si PeODO.
sica indirilibilis sic, ac dirilibilis ( Propolica divisibilis
tucrit.
Exempli sratia, esto invenienda ejusmodi aequatio loco hujus
∞5 - 2 ∞ + - 58 ∞3 = 49 X X - 5OX - 600∞O.
Sumatur x ∞ r, hetque
∞5∞- L L
F 2 X + ∞  2
58 ∞3∞.. = 55
49 X ∞ ∞.. -
49
-5O ∞ ∞.. -
c
600 3. . = 600,
de X E F 2 X + - 58 ∞ 3- 4) du =5C4 = 6C0 ∞ + 3 - 757, h0c
est, ∞  754. cujus quidem numeri dirilores multo pauciores,
exictune quam ipsiuS - 600.
linc ponendo x ∞Z F 1,
In
a
1
Vet
n
qu
d
a
et