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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 153, page id 175905688X:0175
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=175
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000175.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.74
# 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.

luovorat
exeruu
D UEexII
IM prinu
DaTSPet
M
el
ancColl
aa
aeoiu
etel
reniette
( 
quolibe
ndem
erte, ul
ric 24) d
CCTAMPI
I
minco
1)
COMMENTARLL IN LIORUM L.. 153
pro y Tubsticuatur Cumma jam inventa
Cummae quadratum, nempe
2
N X ∞
A2 d 2 = a 2 f2- a 4+
a +
d. L. p3 e pro ry ejuldem
a2 = 2 df  f2, invenietUE
42 f 2af  f3 d X ∞ V a 2 a2 = a 2f2 - a +
22 2df. f2. CIbiliquet,
a d non debere esseminorem quamff = aa, cum alias Problema
Fururum esset impossibile. Cujus quidem constructio talis est.
Facto angulo R A B aequali dato D, crigatUE CX A
ips R A perpendicularis AI, Occurrens perpendicula-
ri FL in L, centrogue L intervallo rectx d circulus de-
Seribatur, secans R A, BL in R eE H. Deinde altumpea
F. NN aequali K A, jungatuE MIA, _ ex N agatur huic
parallela NHI, quae ipsi AB occurraL in II. Postea de-
eripto ex L interrallo L A circuli sCOMENtO ACB, du-
cacur ex Llipsi AB perpendicularis FLC, Occurrens cir-
cum-