# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068195:0370
# Permalink to this reading: https://leibnizlegible.com/page/00068195:0370?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 185v, page id 00068195:0370
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 186r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=370
# Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000370.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.83
# 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.

=aagy sGXX + ac gX + aa cC = 0 sit praestanda rationcilibus sampacibus
X: a = 100V + 101a, :, 200V + 201a y: a = 3000+ 301a, : 200V 4201a
seu X: a = 0.  y: a = d. E fiet - na aa 8P + asaa b0 + acgat + aa cC = 0
84
seufiet = aa DD +af  + cg0Q+ c 2Z- 8
=aa DD = aa, 300. 300VV + 2. 300. 301 aV + 301. 301 aa
+af 6b = +af, 100. 100
+C90Q-
rcc94
+ 2. 100. 101
+C9, 100.200
+CCg 200.200
+ 1 109, 201
1. 101, 200
+ 101. 101
+ 2, 200. 201
+ 101. 201
+201. 201
Ex termino summo 20d ec + 200C 1009 + 100 af - 300aa = 0 haec aequatio divellatur
in duas 200 cc + 200C. 1009 = 0 et 100 af - 300 aa =0. Ex priore fiet
200 = = 100g: C Ex posteriore fiet 300 = 100 laf: a
et fiet 200cc + 200c. 1009 + 100 a f- 300 aa = 0
aequ. 100 9) c  - 100(9: 109 + 100 af - 100 af: aa) aa =
Ex Termino ultimo fit: 201. 201 cC +201C. 1019 +101 af - 301 au = 0
fiet 201C =  101g + 3 V(101g9 = 4. 101 af + 4. 301 aa)
2 201CC = L101g9 + = 101 gg -  101 af + 301 aa -  101g Y (0igg - 2. 10ias
+ L191g1C..
201C.1019 = - = 10199
+iorat=
-30aa
4. 3otaa
+ 10i af - 30raa
Rursus Ex Termino medio fit o = 2. 200c201 CH + 101g. 20C + 1009. 201C + 2.10101a f. - 2. too goraa
quod succedit
seu explicando 200, + 300 fit 0 = - (2.100g. 201C = 100. 10199 (4 1009. 201G + 2. 10010145.- 2. 100. 301  saf
Ergo 201C = = 10199 + 2. 101a5- 2. 301 a Vaf, : 9 = - L 109g +  (. ..)
seu (2)101g9 + 4. 101 af - 4. 301 a 1a f = (- 10199 + 9Y(.. .). Et utrinqe quadrando
+1018 - (8) 101 af gg + 8. 101301 aggat = (101 9 4. 101 a599, + 4301 aag9
+ 16 10l aaff +1 6301 a f = 32. 101. 301 aa fraf
sit gg- 4af = ah et ex aequatione hac fiet:
+810i afat +  301 aa aki = 02 101. 301 ahr a taf 0
0
seu omnibus divisis per ato, fit 105 af + 301’aa = 2.101. 3011 4f =
seu 101 4af - 301 a =0 seu 301 = 101 faf: a sed hoc non
licet, fieret enim 301: 101 = 300: 100