# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068229:0056
# Permalink to this reading: https://leibnizlegible.com/page/00068229:0056?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 16
# Folio 28v, page id 00068229:0056
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068229&page=56
# Source image: https://digitale-sammlungen.gwlb.de/content/00068229/jpgs/default/00000056.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine
# Lines: 30 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.

XX - yy = mm
yy-27 = nn
XX.
p
seu
minann= pp
sit X = _ + y: fiet x yg y  (-y = nin el datur y et X per  e 
sit n = ge (y-Z) r: a et firt 9y+Z, y- Z = (y-Z)2 rr:aa seu 9+g∞ y- Z. rr:aa
et seu gaaZaa = grr- Zrr, et fiet L= ybr-aa). Crrtan) daturque n et Z per Yet
doniqu cujusque extribus aequationibus ope haberi debent liferae
binae, sed cum lterae re sint tantum 6, hanc puderet non
potest quaevu litera hinc inveniri literaliter in
sit n =  (X - y) n. fiet m X+ y, aa = x -y, eai
sit. nH-
deniue
ob XX- yy=mm
Zria fiet y +Z aa =Fy Z y - Z, rY ob yy -2Z Enn
ptp= (X Q) Ata firt XTZ
Denique mnitinn = pp seu (x) ria  + (y-2. rrina = pp
denius P= X + H fiat et ob XX ZZ - pp fint XX-Z.
1V
esit p = (X - Z A: a fiet X+Z, aa = X - Z, HH seu X = Z. AAFa, i AN. au
it XL 5au (ia) y amtaa: nn-aa  et Z= y, rrnaa, i, rr+ aa
deniq
quibus substitutis in aeq. ultima fint evanescet y, et
ut
cet
nntaa, ertaa nntal
n-aa, rraaa
HH- aa