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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 7, page id 175905688X:0029
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=29
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000029.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 recognised, mean confidence 0.78
# 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.

Cd.
1
66
cC.
aCa
ca
lem
C0.
-
pase
Ua-
U4
CC
em
2.
1X-
C
1
d
L LB E R P R L M V S.
Denique PihaDCALIE
Yes
Z∞ aZ = bb:
Facio NL aequalem : a, _E L HI
Xquale b, UE anCC. Deindenon
duco lincam per puncta MI_I,
ut in duobus aliis calibus, led
duco MOR parallelam ipsi
LN; cencroque N delcripto per
L circulo, lCCaNCC MOR in
punctis _R, CTIEMO vel
MIR aequalis linex guaelIIX Z
Hloc enim casuilla duobus mo-
dis exprimitur, nimirum Z∞ = a + V Z a a - bb, vel
etiam Z∞ = a - V = a a -- b b.
Ouodsi circulus cenerum suum habens in puncto N, N
trantiensque per punctum L, non lecetnec tangat li-
neam rectam MOR, nullam icidem squacio radi-
cem admittee, ita ut inde alterere liceat constructio-
nem Problemacis propolici esle imposlibilem.
Cacerum postunt hae iplae radices infinitis ferme aliis
modis inveniris sed praedictostantum in medium aHerre
volui, velur admodum simplices, uchâc rationo patcat:
Problemata omnia Creometria communis construi pos
se, Faciendo tantum ca pauca, quae quatuor praeceden-
tibus figuris expolui. Duod quidem non credo a Vc.
ceribus fuisse animadvertum, cum alias laborem ca de
retantos libros conscribendi non luscepillene, in qui-
bus velsolus ordo propolitionum laris nobis oltendie,
quod iplis non constiterit vera ratio inveniendi omnes,
sed quodsolummodo collegerint illas, in quas Forte in-
Ciderune.
Duod etiam ex iis, quae P’appusinicio sui septimi li-
bri scribit, evidentissime liguer. Vbi postquam aliquam- ex Pappon
diu
astio
aesumpra