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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 379, page id 175905688X:0401
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=401
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000401.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 78 lines, status machine
# Lines: 78 recognised, mean confidence 0.76
# 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.

e
unc
limen
qu2 A
LOvem
est qu
 8
les
Oua
0
A D D L Y A DE E H F U M.
543, 243, 49
37C
212,112,3 quadratum ex AMI; relinquetur 12 100 143, 143,99
pro quadrato ex BM. Subducta auteI A N
24
16V3. remAnet = 9 - +79
112, 112,3
IIZVZ CX AG
eX de
56Y, in locum v, e ; 49- 4799 47. 47.99
habebitur 1139r
Tubrogato
56Y3 56,56, 3 tn IOCHIM X N; R
56,56, 33 Pro quadraco ex B M. Ac proinde, cum paulo
ance pro quadrato ex BMinrentum quoque sit
erit
1434
S6Y3 PTO M O seu x. Jam cum
QuadraEII Ex BM, PriIO inVeNEUM, SIE YX
q
74
14395
12166 143, 143,99
56,563d0
provenieera
4
(2ICC
243, 143.99.
112,T12,3
112 112,3. Oux aequatio si reducatur.
12,14,56, 366 2439
139
Praeterea, ad inrestigandum letus rectum r in aliis xerminis, guomodo
addatur quadratum ex AS, qquv = 2fvVgq + ffrvgq, ad larus re-
quadratum ex AR, c6; e habebitur cc. F gqvV = 2 fVrgactum inve-
L ffrrgqe, pro quadraro ex RS: adcoque
Vcc L ggrr = 2frV4q. + ffrrgq, PrO RS. quae brevitatis
caussa nomineturn. Deinde, quoniam, propeer similicudinem
triangulorum A RS, TSV, _ P YS, RSscun est ad ARICuC,
SicutS V seufrq ad T V, _ PSICu =g - fvgad P X; invenietur
5040
PtOTV, e =40- fvq0
3ProPY, quae additxe efficiunt
niatat per
bo
o ProFX. Rurtus, quia, propter eandem triangulorum (i- L
milicudinem, RS, Scun, est ad AS seuqV = fv g, SICUE SV
Scu fvq ad ST, _ PS sCu = 9 = fv 4 2d5 Z; Het prO S I
aquos-sfrvgq
e 2Qqu - f0v4g-
5 X. Gux ab RS 
cC.
linquie
V
2Fvgq +ffvvgq
quv= 2fvv49 + ffnv4q
fV.
99. F 2fvgq
4qu
ditis autemm RS de S P, habebitur Ec. + 4900-
BbD 2
 PrO
Subducta, re-
3PrORZ. Ad-
(0049
PrOR I
Jam