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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 82, page id 175905688X:0104
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=104
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000104.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine
# Lines: 56 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.

D
82
EF Z O H E Y R I A
quonriam ra dix Cx ys =- 8 yt - 1249y - 64 ∞ 0 rurluS
est 26, hinc scriberC OpOTECE
X X - 4X I 5∞O, CEX X F 4 X F 7∞ O.
Flic enim L Egy - Ep- 2 Facit5, d 1 E y p- = p p 4
e
Facit7. Ec quandoquidem nulla in ureaque harum A-
quationum invenitur radix, sire veca, lire talla, liguido
constat, guatuor radices quationis, ex qua deducta
lune, imaginarias esse, e Problema, cujus gratia A
quatio inventa cst, natura lua esse Planum; sed nulla
ratione construi posse, cum datae quantitates conjungi
nequeant.
Sic etiam cum habetur
71 X = 244 7 = a  = 2 a ∞0.
66 a6CZ aaCC
quia propy inrenitur a a f c0, scribendum cAt
(Z= ZV a a - + C6 + Z a a - 3 a V a 4 -+ 66∞O, de
 
R ZV a a t cC  Z aa  = a V a a  + 66∞ O.
Nam y cst V a4 L c6, X L = yy F = p CA 3aa, e 2 CIF
= a V a a +06. Vnde cognoscitur, valorem ipsiS Z esse
2V a4 + cc + V - = a a + = cc + = a V a a L cC, vCl
EV aa + 66- V  = a a + =66 + = a V aa L CC.
Ecquandoquidem supra Feceramus Z. F = a ∞ X, inHOCC
scit, quancitatem x, 2d quam cognolcendam omnes
hasce operationes instituimus, cAC
=4- V = aa  = 6C - V = 6C- = aa I Z a V a a -  66
Verum enimrero ut utilitas hujus regula melius co-
nosci possic, operae pretium est, uc illam Problemati
alicuirelolvendo applicemus.
Datis guadrato AD, _ recta linea BNI; ODOFECAL
Aoducere latus A C ulque ad F, ita ut PF, ducta ab F
VeESUR
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