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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 384, page id 175905688X:0406
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=406
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000406.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine
# Lines: 52 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.

384
A D D. E. Y A XL B N Y. U M.
tinc uc inveniatur ratio horum cerminorum, (quonium supposica
AR ICuC∞ F, 99 CA-
12, 48, 32,648F
169 in 2T749 =5V785
rel numeratore
atque senominatore per 11749 =5 V 785 mulciplicato,
14X
21, 48, 323648F in X1749 - 51 785, seu
269, 538019376
s
48, 2, 276, 648F 2 +1749  5Y 785
169, 121, 176, 6481
_ g3 Y 40, 21I 11749 - 5V365
169, 12Y
i 48, 2, 491 11749 - 5V 785
269, 121, 256, 3
hoc est, 48, 2 11 ∞1749 - 5Y785
43
169, 221
276, 3 adeoqucqq1r
Feg96, 49 LM 12749 - 5 V 785
169, 121, 96, 8  hoc ett
49I 11749 = 5V 785) neglecto communi denominatoren, mul
169, 121, 8
ciplicetur = = fper qqVV, e Fcqqvv - frvg4 ∞
390Y 785 = 1036+ in 49 in 11749 - 5Y 785 Ceu
648+
169, 121, 8
6517, 21, 6481 = 49, 5, 21, 648+ V 785
13, 21, 11,5,648+.
hoc est, =6517 + 43. 5Y 185
13,11,8
Cui Ei addacur c6 ∞ E, HCE CC - + 4 q v v - f v v 4 q 
5373 -= 49, 5 V 785
13, 11,8
E3 PTO TR. Fodem modo multiplicato
Y ∞ Y 48, E in 11749 = 5V 285
169, 121 = Per =C, leu (quandoquidem cest isi
habebitur : C92 Y 24 in 11749 =5Y 385, prO TX. Inventaeipi.
169, 121
TUF TZ _ TR si reducantur ad candein denominationem, de
deinde denominator communis omietatur, obcinebitur PXa
V 64. 24 in 11749 - 5V 185, _TR ∞ 49, 5 V 785- 5373, Ge
TZ∞ V 18046464 - V 463011840003 _ T R2 ∞ V 47 119625 -5373.
Ouarum si T X vel P Y Sumatur proradio, erie TR vel YR
tangens anguli T Z R vel Y PR, grad. 19, _ 27 min. circiter,
distantia loci Solis in Ecliprica ab AguatOFC.
Cum dutem in expolica myus Problematis Colucione nonnulla
dccurrane, qua illultrationem aliquam sequirere ridentur, atque
minus