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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 387, page id 175905688X:0409
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=409
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 recognised, mean confidence 0.82
# 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.

a
ol.
ebiiu
eni
I. D B T Z A A F HY X V. X.
A P
4.
AO
Mulriplicetur 16Y3 2d = 4  74
16V 3
VErinque Per 2, & Hic 4 - 8Y3 ad 9. 72
TLIM FUEIUS
per V 3, R HC qV 3 - 22 2d qV3 + 72
Denique dividatur
utrobique perqu herque V 3 = Z 2d V 3 L 3.
47, 47,99
or; in locum X, ∞ = g 9 = +799
56,56, 5 in locum X X, habebitur 243gr
56Y 3
qD = gY = 47gr
de remanebit Y X -  X 
56V3+
56,56,33 pro quadrato ex
BML.) Id quod hoc pacto fieri porest.
Ex Y X ∞ = gY - 472r
Tuberahatur
PXX
56Y.3
473 47, 9r
56,56, 3
q D = qr - +7, 47,97
56,56, 33 rC
T429p
56,56, 3
Nimirum si reducatuF = q r ad denominacorem ip (IuIS 47. 47 9
56,56, 3
urpore taciendo ut 4 2d56, sic 2 2d r4, eritque = 9 r ∞ 149
e deinde mulciplicando cam numeratorem quam denomina-
eorem hujus tractionis per 56, 3, fiet 56. 3, 2497
a quo subducto +7 47, 97
50,56, 3 Cu
22099
56, 56, 3 3 ve
56,56, 3
23529 q
56, 56, 2
Dua addiiae efficiunt 2V, pro Z X. ) F A enim P Y XGuA L
lis V X. Ouod Facile demonstrari potest. Cum enim Sol quoti-
diana sua convertione circa mundi axem rectos Conos eficiat:
Fc, uEP Y, Si producta concipiatur, donec ipsI R Q OCCUTTAE, ab
axc R T in puncto Y bitariam acque ad angulos rectos lccetur,
criangulum que efficiat, quod eriangulo V XO Sic simile ac simi-
licer politum. Cujuslatus PO duplum existens laceris V Otrian-
culi V X a (propter punctum V, quod centrum retere FIliplIS,
cujus cransrersa diameter est PC, e Z. V Pemistis secundae dia-
CCC ~
mecris