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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 138v, page id 00068201:0276
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 139r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=276
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine
# Lines: 48 recognised, mean confidence 0.76
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

Habemus ergo unam aequationem, ipsam b continentem, nempe
- a b4 + 18h ( + b4 ah b( 1 N at. at supra aliam habebamus
ba + 27Ph ei  27 b a Val
b4 27l b2a sal - 27 (3 h6
+ b a3
Nat - 18k (4 - 54 a h b212
(a3
et fier 27 (2 b a sal - 2713ho - 6t at + 18h2 (+ 62
-ba 5
64 a h(
18 1
F7 N at- 13k212 6 +ahb2 1
An ita brevius  b vocemus Ba fient aequationes duae:
B a + 18h 14 +64 ah B1 57 N at. altera:- B a +27 l’h r 27 l’a Bb a sal
et = B( N a 2 - 18h 14 - 64ahB( 27 l aBb a Sal - 27 (216
+
1
et B2 H 27 Pa Bb sal = 27 Bh - N a B~ + 18k  aB N at- 18k1462a
64 a  64(a) h1
et erit: sed hunc patet ipsam B. nihil conferre
(a4)
62 64 h A at - 64, 18 k 5 - 64, 64 ak 14 b ((2713h + b N a18h1
Porto 
 27 (∞ (6 - 18 ah (2(2
27 l a3 tal
Bevius si ab initio faciumus N at  64 atb l + 16 sut 18b tati + g
(18h2 (2 + _ 2, 2 trl b gb, - ab( 18t. 1 + 6a at ) 1
et fiet b
64 ah 1 = 2, 3hl2g 12
92 + ar
et b3, 64 ah( - 6 h 1 g 12
g +a2
jam ex aeq. Superiore 66 + 27 V sal b + 2i a ppy27 l’at 4 7Bha
et b3p,
et b17
=27 V sat =lS 27. 27 P’ a + 14, 27 lia
271 al, l f..  eta
4, hl2, 3a-gs2
et b (D 17, 23 l6 a  - 27 l a f... (+ 1, 27, 47 a) + 13 4, 27h’a  pragra
2
16, ar,  H12, 31 a= ag s2 47g
64 ah( - 23hlgt2
92+ a
Ponamus jam 17,32 a = 2, 3, 32 a9 S2 = 1895  g + d a
quo facto si Yg2+ a. voaetur Z. habetur pure naloris ipsius
quod si obiter eveniat, notabile est tamen
64 anl- 6h 17 s2
g+ a