# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068201:0056
# Permalink to this reading: https://leibnizlegible.com/page/00068201:0056?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 28v, page id 00068201:0056
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=56
# Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000056.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.92
# 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.

gradum
3. l. d
seu ad gradum 100 ut soli adsiit
termim divisibiles per 5, habebimus supernumerarias 4.5. - 5 seu 157
4. 5. 5
tollamus X ad gradum X seu etam in gradum 100.
habebimus supernumerarias 25- 4 seu 21. quas si priori
addamus sunt 15 + 21 aequ 36 restabunt termini
divisibiles per 4, nempe 25 et divisibilis per 5 nempe
20, summa 45, Volumus quod si desideremus tantum
restare terminos divisibiles per 20, restabunt illitantum
sermini tantum  (5 nême 100. 80. 60. 40. 20 Ergo
de 45 tollendi 40. Sed habemus tantum arbitrarias Tus
non ergo licet astituere, comparavem. Alioqui potuisset
aqualio reduci ad inferiorem seu 4hi gradus.
igin
si sonatur X aqu + m+ n + p. a
Ptono
et ponatutur. l. m. n p esse sundesolidae quantitates
situs aequatio attollenda ut omnes tollantur irrationales
en at tantum restent X. (. m5. n. p. ascendet ea
tunc etiam non extabit nisi X ut alibi constensum
et ascendet X ad gradum 625c qui est revera 128
terminorum in quibus est X. quod si ergo aequatio
reodem sit attollenda habebitur aequatio
a px el
data X
ii quam so etiam 25 terminorum, sed 120 arbitrariarum
quibus si quaddattur quatuoo literae l. m. n. p.
habemus literas 124. cum tamen ad comparaoem instituendam
requirantur 125.
625