# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068196:0671
# Permalink to this reading: https://leibnizlegible.com/page/00068196:0671?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 338r, page id 00068196:0671
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 339v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=671
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000671.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 67 lines, status machine
# Lines: 67 recognised, mean confidence 0.72
# 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.

non Numerorum
Productum ex XX + BX + ac in Xx + mx + an, aequari debet quadruto  usum quad raturarum.
sit prbxrac L 003, et Xx + mX + an = 398 fiet ad  AXtbXraC, Xx +mx +ac = OD8
Bonanus   X = s 4 + YZS + 148 a D  3o 1L 2 + 31 F 3 1t  Ogoi  9
s  Si +. t tE6 1. a6
ab
ac = ac
jan
+b ab. +bb.
 233 t (1. 2013L2 1x  6 12075 S 10
1. 21.
fl. 22. 2 8 . 12.22. 8. 12056.. 12208..
q. quu i 1e
9 42 144 +513 16 + 23tibr 2
O= 4 + qu ty +4315
8=  sZ + 12 +56
  en Z + 261h2 + Se 6 + i q 146
28
28
D bx -trse + 2b .. +2b -. + 2b..
B aC = dac
2ran 3o  r 3.ca uq.. vrosant .. C9sH vss vns) (3s  ae) (
2.2e.l. 30 1G)2. 21 3. 35,. 2. 2. 22 10qe 1. 2ya 30Zue..
in. 31
 quantitates omaes sunt corstante, prater  h, 4,8 e1300
queseu et  quae continent v, sed simplex
spergutent nsut stu anootrib quasusque sab
∞.506B B3128.. 43. B8136.. 13.13 5138..
Ep si 53B i 2H1. 23. 244s
2BSBSuS 2223S1G.. 241B. 52..
g3 Gs
41g. 241B. 5.. 2.7 93Ba.
similiter XXDmX ran _ DE4, ubi solum pro 4 scribitur 6
1
= Aorvestu 7- 4odta B nrc 3 in- 0o t avri 2 brve 5  o BAS 5  + 1
quantitates assumtae omnes q. 6. 7. sunt constantes, exceptis t, 2,6, et 500 N et +,
 aven  = neto 6 = 05vY e 5  o+, 10
es s = 00 B + 10 t = a1V + 1 2 = 2v + 1 8Z 03v+ B  2 = 500 +510
Habenus literas 41, 42, 43 61, 62 ,63  51, 513, 523 81, et, 03. 1, 12, B 00, 10 500, 510. summm 19
Hetbenous aequatiores 
patione o
v
dehixaion ta in
pr
907) s ratiomal Bob Gu
idi
Haberuns aequilu esse
 D E8 )irrationolibus 5 3 h.
ltasd
(067 grationat) fob qi in Summa. Quanlitates arbiliarias 19
dl18
274, 2 = 16
 2, F.3 + 3c. = 18
In summai aequationes comparatitias 18
 2 13 +3.2 = 2.3+6 = 2. 9 = 18
Ino revera sunt aequationes comparatitiae tantum , in effectius quia v si collatur ad 009, tollitur eo ipso
estiam ad 3DE i  quia non habetur nisi in t,2 + t,d + 46. quae quod utrique commune
Ut autem literas et aequades bene distribuamus, concipia ipsi C atribuemus 41, +2, 43; t, v,03 00, 01, 02, 03 500 utriqu com. 51, 512, 325
 veterunt 41, a42, 43, adbri (61, 62, 63) adhiberi pro termino rationali 4) in irrahionolitus quuad 4, si, oltor (86, 51 3, 01o) (36, 52s, 2403
.. . . . . . 512, uirt2. . 513 11+13 . - 52z 12+ 13
it aequanda binos valores ipsius ipsorum 512, 313, siq habebantur tres aeqgs.; pro quibus supersent 00, 500; 10, 510
  a . 61, 62, 63
samcuns unum ex irrationalibus, ut h, sit.  pro V
38Eod = quEI. SET SI2I 11. 4L. 8I +GEH.Or F43, 43. 03 + 24L 43. 2. 523, 41. 43, 03 + 2. 513. 12 43. 03 + 2. 4142. 500
512. 41. 41. 11 4 42. 42. 12 + 43. 47, 13 + 2.523. 41. 43. 13 +2. 513, 42 43. 13 + 2. 11. 42. 510
512 = 2a03 + 2400 - v 203. 41.43. 523 -  42. 43. 513 = 2673. 42. 43. 513 = 2. 4142. 5007 :, o1. 41. a1 402. 42. 11 4 0t 11 4
fux 2a. 13 + 2a10 =: