# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068200:0116
# Permalink to this reading: https://leibnizlegible.com/page/00068200:0116?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 57v, page id 00068200:0116
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068200&page=116
# Source image: https://digitale-sammlungen.gwlb.de/content/00068200/jpgs/default/00000116.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine
# Lines: 66 recognised, mean confidence 0.86
# 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.

Melior ergo via haerc esse videtur: debet esse 7yp -rr =
ipsae Y et V, explimantur per 30 + 31X +3 + et et vper tot HX + 12X + et, ut supra
secundum rei valores jam scribatur valor ipsius 74y 7yy - vv, qui debet
valor debet aequari quatralo. fiet
(+30 ) t 30 X + 30 XX + 3 X3 +230. 32X
=10 + 23031.. +2. 30. 31
10.H..
seu eim
+30 +1030
+ 10
21030
= 10
= 2. 10. 12
-1. 11
+ 230, 31
+2. 3032
= 2. 10.13
-2. 1P.1
+ 1. 31.
+2. 30. 33
42. 2. 32
= 2. 10.14
=2. 11. 13
1. 12
quod si jam haec formula potest esse quadratus
a - b = a +b- 2b =
ustituntur actu ipso extractio, ut solemus in numeris, nam ita primus ermnus est
quadratu
cuine latus Et quia int refert etsi termini sint negativi excento sumplic
exsumo
excesto in fimo ut possit extrari radioquadratiea; ideo possumus sempe
transferre duplos in terminum sequentem
sed quaeritur quomdo jam ita institui posset divisio, ut inveniatur quotrens, et residuns
sed vereor ut id facile determmari possit. Prioris
ergo paginae ratio dat exitum, etsi nimis prolixum; hujus non aeque an
sit minar divisore
An ergo redebimus ad nostra prima tentamenta, ut formula quadratica
generalis reducatur  ao quantitates, qu notas dyadicas nempre
 10.
en 1on X L 10 16X F Wus tour K ~wM K 110IX 10. 1X F OX, 10
0+ I1X+ V2XX + 13 p + eU
dabit
il. 16
121
13. 14
11. (3, 11. 12
vq n. B C +12.
HI. 15
instrimuntur aequaliones octu ipso nddntur et omissis initio ipsius ipsis 11:, 12, 13
At
+ 11.
11016 (10. 15 10147 10. 12 Add
Arts 11. 19 11. B 1p. 12
donec quodlibet conticat quantitatem quae non possit major quam 0 et 1, idque continuetur
et
Seddautur
12. 14) 12. 13
donec inveniatur lex additionis Demdis separalim lddantur 11, 12, 13, sins locis. V
dyadice,
Verum enim vero, vereor ne hoc quoque sit nimis prolixim, quia in simplitibus
p+b, a+b+C etc addendis nulla commoda lex priori produt
taque vereor ne missa hac via tande- sit  ad alterum procedendum
pumediatiorem e ex ipsis resi duis dyadicorm, quorm differtaliae sunt
notae, ibi enim statum thectenata osferuntur
t
oria