# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068201:0265
# Permalink to this reading: https://leibnizlegible.com/page/00068201:0265?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 133r, page id 00068201:0265
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 132v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=265
# Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000265.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 87 lines, status machine
# Lines: 87 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.

Quid
X+
Xa
-y X + Z X
+ u
+
Kx= C
un
1
+Y
e
Hy
K X +
Utor hic ex pice
culculo Huddenii paus
yt A
+WZ + HK.
+VI.
+aq XY +ar X X raegex taere X tars
is
h X3 + sX + LX.
1
R⊓ h - py - y + 2Uy
= hy + py + Y+ - 3~ y - pW F W
restant aequationes ex collatione terminorum quartet
quintius ram
et pro terminis quartis, fiet:
sy -hy2 + py2 + V - 4W y = 2 py +3Wy +hW 7F.
set pro quints: et su = ny W + py WV + y t W - 3WV Y - pa + W3 V
27
e, +aer y - aq y 3  y + + WV y +2 aq y = 3W y - ar us rags
ope prioris fiet
+a 
à q + -2a wy  ar 1
ope vero posterioris:
+ar Wy - aqr = y WV + 3W 2y + ag W2 _ 13 + at rf
+aef
aq+ ayW = aV2 ( D
Rectius in si non su sed e
a2f
in ultimum locum referre satius est, ut scilicet Tabito statim puro
ipsius e valore, facilius judicemus an sit ppossit esse C quantitas
affirmativa, posito 9. esse negativam,
 O e - 4
aV - aW + a9
-
ae Wy + atr
gubi si esser C, 7 ubi si facias:
vy: q Wy Far 10.
fiet esi = et ficret f⊓  1.
et
a y O tay
+ar.
aW.
+439.
Hoc exemplum ergo Oe - 4 ( a y - aeW + aq. sivi O Z H + a y + ar +aq
est inter pandora ad quod praestandum nova foret, opus de litera invemienda, undi
pater fieri aliquando ut unic determinatio facta in effectu producat
duas. quod exemplum notabile est. Hoc ergo compendio uti
non licet nec altero, ut sit a y - a W + aq p0 eandem ob causam.
Santum nunc videndum est, an ope arbitrariarum W et y. fieri
possit ut e sit affirmativa, etsi 9. sit negativa, et qualiscunque magni
tudinis sit r. Videndum ergo an tam numeratorem quam nominatorem
possimus redse re negativum, utam
in eam rem litera W. sit
Jam in - aW -Y, continetur + a Wt, quia  contine
+ etc
quae est maxtim a dimensio, n in numeratore et est affirmativa, etsi 2 ponatur
 contruetur, u
quantitas negativa, ut Num hoc ipsum utile est sut W sit negativa. Possumus ergo facere
in
ut numerator sit effirmatious. Jam ut etiam nomisraor sit negativus affirmatious quaeremus
maximam in eo potestatem ipsiue W quae est = aWV3. quia  = D est +W F et. ergo 13.
 li era du a superet uideou ativus popta i, quantum sitis magna
ad est quanditas, etera ommia superet, ideda erit e otdimativa
Error calculo anteidu none
non f. sed e
Occum
et er maneate qualicunque.
8 +dwy 4
e
A - aW
+a9
+at
Algibraica.
eu
eip.re que