# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068200:0170
# Permalink to this reading: https://leibnizlegible.com/page/00068200:0170?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 84v, page id 00068200:0170
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 88r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068200&page=170
# Source image: https://digitale-sammlungen.gwlb.de/content/00068200/jpgs/default/00000170.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.81
# 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.

20 
20y + 214y + 22aa =0
20 2  -
40 = 20l : 30 41 = 27l: 31
30y+31a 20 sit
fit 3a 3032la) + 31. 2dla = _ 3431. 21la
40y+4ay + naa
30y + 31 a
30.40yy4 30. 414 y + 3141aa
2olyy +21 Lay + 22l aa
29y+21 ay + 22 aay + 23a =0 30y + 3lay + 3raa = 0
40y + 41a
287 +31 a
40y+41a
50y+51ay+52aa
431. 40a.
∞
20. 40y + 21.40a9 + 22. 70dY + 23.402y 30. 501t + 31. 5∞ ay + 32.50 a y.
q
Sa
Y 20. 41 a7 +21. aay + 22. 41 43,. 43. 11)
a
ma
Matur
m. n m- 1+n = n-1am
mat th-
im +n -= m +n - 1
13051.- 31. 51.. 32. 51ay
30.32.. 31. 52.- + 32.52a
quia quinque literae e quiaque aequationes comparatitiae, hinc res
non procederet, nisi comparititiatum aumem minuamue unitate, quod
Ita faciendo, ut termlini l primi L ultimi pari piretractentur
oblinebimus pultiplicando  crucem per coefficientes terminorum
quanquam si multipliremus per alium terminum ut 2040
per primum; lamen passiemo debeant evanescere, quae faciunt ultimos
mediorum,
primos ab ultimus distingo