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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 4
# Folio 62v, page id 00068049:0124
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 63r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068049&page=124
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.84
# 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.

C1
et 1l + 12 m + 13 = 0
et 2al + 22 m + 23 =0
ducantur in se invicem fil . 21. I + iu Im 4 1. 23 + 1. 23 m + 13. 23 -0
+12. 22 mmr + A1. 22 Cm + 13, 24C +13. 22 M
sint jam 11. 12, datae, reliquae quaesitae, ut supersint solum U et nun de l’etm
ergo fit 12. 21 + 11. 22 20 et 11. 23+ 13, 1  = 0 et 12, 23 + 13. 2 20
perE
 fit Ce per per 4, 23. HL. N 21 ) et  23 B. H 22
fit per 4, C 22 1d. 1  t per 5, 2
ergo
fit per. 5 23 = -6 13: 1 21 et per 6 fit 23 = -13: 12 22
eidE per 8 et 7. fit 22= 12: 15 21 sed ex aeq. 4 fit 22 = - 12: 11 21.
Ergo fit 1 +12: 11 21 = -  _ 1: 1121. U Quod vel est absurdum
vel  docet debere aut 12 aut 21 e quari nihilo. 12: H 13 esse = 0
vel docet debere esse 12: 11 21 =0. quod fit vel 22 e vel 2)
=0
j quia ergo 21 - 30. 11. 8 12 jam substituamque, fiet
(14) Ssn
O.H. H + 23= 6. 1: 12 et 2 8 22 = 1-0 per gen
et 23= (2 70. 13: 12 per 7 et 14. Quibus valoribus substitutis
in ag. 3. fili. 0.112: 12 U D - ∞ mm  Be - 0. 13: 12 =0
et divisis omnibus per 0. fit 11: l =mm = 132: 12 20
seu 112 H - 12 mm = 132 (2 a
Sed perplexu res est, utrum hoc procedat
sane videamus an l + m + n attolli possunt ad quadratum
una sola multiplicatione per a l + bm + cn, fet enem:
al + + bmm + cnn + a im + aln + bmn + cnn = 0
+ b.. + c ln + C..
ribi fiat AB a- g, et b --c. Ergo a = b
ubi vel erit n = 0 vel fiet a = = c, et b = - c adeoque a = b
r
ma
ubi ut toteantur C et
non esed sed ut tollatur lm, etiam fieri debet a = - b.
quod est absurdum, nisi B = 0, adesque et a = 0, et c quoque = 0.
quod absundum