# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068220:0014
# Permalink to this reading: https://leibnizlegible.com/page/00068220:0014?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 7
# Folio 7v, page id 00068220:0014
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068220&page=14
# Source image: https://digitale-sammlungen.gwlb.de/content/00068220/jpgs/default/00000014.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.87
# 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.

si popatur Xaego l+ m + n + p
Siet data sit aequatiobtq +qX t uxit
vego
fit ex priore. Baego X5 + gX + YXX + tx D
et ponatur X aequ l+m + n + p
ut indo fiat et sim aequy. seu
y aego im+ ln + lp +mn +mp + nx
et slum aequ2. et map aequ. co
constat ex aaequ. 2.3. 4. 5. fieri
 X - 5X y + SX Z F 5 X yy aequ. 59Z
5X c0
quam aequationem b. si comparemus
aequationi l. fiet:
qaque eC Y  y aequ - 9:5
aequ r:5 eo aequ  49:25 - +: 5
(10
l seu 15+ ntret pe aequ. v + r9: 5
et
Imaln+lp =mp+p aequ - 9:5 per Y
lum + Imp + Inptmap aequ rispers
Iminp aequ. 49.25- +.ssu
ex his quatuor aequationibus 10. I1. 12. 13
debegent inveniri literae l. m. n. p
Et quidem si loco aequ. 10. haberetur
(+ m + h+p, seu ipsa X. tunc inventio
insius l. ess et aequationis quadrato-
quadraticae. si in aequ. 11= 12. R
loco (Imi et slnu  habehetur
Sm et ((mens tunc inventio
ipsius (E esset aequationis quadra
bonquadraticae.
Videamus quid
pro ea ex aequ4. 14 11. 12. B
ut ia cent