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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 17, page id 175905688X:0039
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=39
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000039.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine
# Lines: 52 recognised, mean confidence 0.86
# 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.

1BC.
aal.
TaCIO.
Equa-
ua ue
Ru
nodo
ICA.
(Cen.
Oque
olica-
ACaS,
D- CI-
quCa
et
recC,
C. EC
DOTC.
endo
2
cciam
TBF R SF C IN D ES.
De natura linearum curvarum.
Eceres optime considerarune, quod Creometriae guanam
Problematum alia sint Plana; alia Solida; alia sinc curva
denique Lincaria; hoc est, quod quaedam eorum
linear qua in
Ceome
construi possine, ducendo tantum rectas lincas d Cir- iriam recipe
culos; cum alia construi nequeane, nili ad minimmum possun.
achribeatur Conica aligua sectio; ac reliqua denique,
quin ad constructionem corum allumatur alia quaedam
linea magis compolita.
Verum latis mirari non poltum, quod non ulterius
prooressi lineas halce magis compolitas in certos di-
Rinxerint gradus; neque etiam plane capio, cur illas
pocius Mechanicas, quam Ccometricas nominaverint.
Erenim, si dicatur, ideo id fuisse factum, quod instru-
menico quodam, ad illas in plano describendas, uti opus
AE, circuli quoque _ rectae linex ob candem rationem
rejicienda essent: cum absque circino d reoula, qua
non minus instrumenta dicenda sunt, in charta describi
non postine. Neque etiam ideo, quod instrumenta, qua
describendis illis inserriune, urpore magis compolica
quam regula e circinus, nequeant esse tam exacta:
quandoquidem ob hanc rationem porius repudiandx
torent ex Mechanica, ubi tantum accurata operis con-
venientia, quae a manu protcilcitur, desideratur, quam
ex Creometria, ubi lolum spectatur exacta ratiocinatio.
quippe quae proculdubio, tam hasce lineas quam illas
concernens, xeque pertecta esse porest. Neque tandem
Ca de