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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 33, page id 175905688X:0055
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=55
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000055.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 recognised, mean confidence 0.81
# 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.

cMFil.
ACOTUM
IX SUNC.
ncicaci
aCguC
sensum
Onico
vel CL
Cin hoc
At, c
addau
eo ett
e
L EB E R S E C W H D u 5.
m
am
2p2 Y Ep2 V 00nt +mp. Hlaec aurem mulcipli-
Cata PeF = V 00 + 4 m p, qux est figurx latus rectum,
PTOVeHIE X V 00 + 4M p
N 00 4M p moo
2mm, pro rectangulo. A quo auterendum est (p2-
tium, quod sic ad quadratum ex NL, uc latus rectum
ad lacus eranvertumm. Hlinc cum quadratU Cx NYL
sIE
Z7 X X - aa0m
aa
a am
PZ2 1 -
aams aaomm,
p22 xV00.+ 4m p J aa0omm
2PPZZ
22Z 21022 V00 + 4mp, oporcebic id iptum divi-
derc per aam, e mulciplicare per p22
L Propterca quod
hicerminirationem, quae est incer lacus cranlverlum de
rectum, explicent, ACEGuC = XX - Ox 1 V00. 1 +m p. 1
eom om
2p 20V00 + Amp L mm. FIOC erBO SI AWIFCTAEUE Cx
rectangulo praecedenci, invenietr mm L OX = = X X,
pro quadeato linex C L: quae proinde una est ex ordi-
natim adplicatis in Ellipsi, aut Circulo, ad scementum
diametri NL.
Jam vero A datas omnes quanticates numeris velimus
explicare, ponendo, exemplioratia, BA ∞ 3; A (7∞5,
AP ∞ BR, BS∞EBF, GB∞BT, CD∞3 CR,
CF∞2CS, CHID Z CT; _ quod angulus ABR
Sic c0oraduum; ac denique quod rectangulum lib dua-
buslineis CB _ CF, sit aequale rectangulo sub duabus
reliquis C D _ CHI; (quandoquidem haec omnia data
REQNIEUNEE, UE QueCtIO SIE PCNIEIS dCFCFMINATA;) e
Quod pexterea AB sIL D X, _ C B Dy: inveniemus per
odum, supra explicatum, yy ∞ 29 = X y F 5 X = X X,
g9∞ 1= : X  V 2  4X- 3 x X: ITa uE BR Aeri de
beat