# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175905688X:0507
# Permalink to this reading: https://leibnizlegible.com/page/175905688X:0507?run=74
# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 485, page id 175905688X:0507
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=507
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000507.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 recognised, mean confidence 0.75
# 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.

I per
10.
uadi
dic
 conu
D0
e
il
ale
DE REDUCTFONE AE OIAZIOHUM. 185
Fit siC Porro de caereris Regulis, tantum, uti dictum est, omni-
bus illis particularibus relictis, qua originem duxerunt ex eo,
quodnecesse sic, ut illa aequationes, ex quibus Propolica aequatio
produci potest, illic lint rationales, quod Polum hic non requi-
sItUE.
Animadrertendum quoque est, hanc Regulam se non Polui
extendere ad aequationes, in quibus nec ligna radicalia, neC FrZ-
ctiones inreniuntur, (quemadinodum praecedens illis eantum
quadrat,) sed quoque ad illas, in quibus de radicalia siona ex Fr2-
Ctionesreperiuntur, hoc tantum excepto, quod non sint in ulci-
mo Termino, ue antea dictum.
Denique nocandum elt, quod idem etiam sequentimodo inve-
niri postu.
REOVL A DRO A OV A FEONEBVS S DLMF N-
SIO N V N.
Duare communem dirisorem duarum equationum,
9∞0, eyy - = y - hhp - +- + r B
B
_ per eum, valorem iphus y; eritque Propoltaa qua-
eio dirisibilis per x x L y X F B∞ 0.
REGYL A PRO A OV A TEONFBV S 6 DLMEN-
STON V M.
Si Propolita aequatio divisibilis est per
∞ X -L y X -  B∞ O,
earacur cemmunis dirisor duarum aequarionum.
117
S
Ph9 - 5∞O, e 13. pgy + 9 9- x ∞0,
L + PB
a percum, ralor ipsius.