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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 70r, page id 00068198:0139
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=139
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.82
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# After the first blank line: the recognised lines in reading order, one per line.

vice an Ex fit
Sit  sit du  dZ Hirvex +, :, 20X +21a sit y L  XX +(32 a sit  3oXX + aa:  es al
dba (230. 40 ∞) +220042a4 X ( B∞ X 2. 30 40X3- 2. 32 40aX
et fiit du resa dx, 2. 30X. 3t a
et roxararaa e
Sit do = du fy 1oz +1 sit do = (1) = dz (31oZ +A1 20Z + 21 a sit Z = (2) = b, 30XX + 32aa,:, 40Xx + 4 aa
ua
per 2. fit dZ = (3) = bdx, (40. XX. ∞B2. 30X) + 42aa. 2. 32X (= 3∞XX. 2. 40X) = 32aa. 2. 40X, i, 121, 40xx +2raa
Rursus sit ded =(4) = dv s, 502 + 51: 60 +6A et 2V = (5) = b, 70XX + 72aa, :, 80xx + 82 aa. Et per 5 fiet
dis = (6) = b dx (80Xx. 2. 70X) + 82aa. 2. 70X (= 70XX. 2.80∞ -7D. 2.80X,:, El, BBXX + 82aa et
Xt21a debet esse = (7) = 50V +6:, 6aV +6pa. Ergo ex 7 per 2 et 5 fiet
a
∞2
ia
10. b. 30XX + 18. b: 3244 + HIa. 40 xX + Ha 142 ac 2, :, 20b. 30Xx + 20b32 ac + 21a. 40 XX + 214. 42a4(5) X
10Z+l
stele
 50b, 20XX +5Bb. 7raa + SIa. BOXX +51a. 8t acc :, 60 b. 70XX +hob. Jaa + 61ag0xx + 6, a. 8rac
Ergo fit 20b. 30 + Ha, 40  (9) 54 b. 70. + 51280  10b7 2t11a 4250b. 72 +51a. 82
et 20b. 30 +21a= (11) = 50b 704 61 a. 80 et 20b32 +21a42 (12) 60b. 72 + 61 a. 82
taque cum addi in unum debent. dv et deo, aequantur irrationales, superestios
ergo vaddi dZ et dit quorum summa ducenda in iirationalem communet
in de
+dl = dx. 42aa. 2. 30X. (2I, g0XX + graa (A dm = n bd X. 32aa. 240X. ( fo ex ,Graa
Mbax
Mbax. 82aa. 2. 70X. 121 40XX + 42aa
7, 40xX +42aa, B0N F, o2Aa
mbdx. 72aa12. BoX (, 40x xt 22aa
sed video ne non posse officere ut superi numerator paivalis
nominalori vel ac
in
s nisi sed semper supra manebit X vel X
tumeritore. etsi aviator tolli posset.