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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 105, page id 175905688X:0127
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=127
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000127.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 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.

mpecli
celi
e
L IB E R Y E R Y F I S.
lae, quod supra nominavin, e= V a a L ab PEODF,
vel BL. Porro descripta linea curra A C H secundum
mensuram harum crium lincarum, Cacienda eA LII
6a3  a a b
2nVaa + ab dc lII ∞
18 a + -  3 a3b
1043
a a
nn  un  a a  a b
ennr a +a e L P ∞ V 15 a+. + 6a3V a a + ab
n
.Ecenim
circulus, qui cenerum suum habet in puncto I, cranlitu-
rus per punccum lic inrentum P, secabit curram in duo-
bus punctis C _ N, a quibus si ad rectam BR demic-
tantur perpendiculares NR e C C, e minorNR a ma-
IOrC C C auteratur; exit reliqua x, Prima CX QUaEUIOF
mediis proportionalibus quaelitis.
Eodem modo facile est datum anoulum in quinque
aequales partes diridere, de Circulo tiguram inleribere
2Y aut 13 aequalium lacerum, acque infinita alia hujus
regula exempla reperire.
Verum nocandum est in plurimis horum exemplo-
rum, quod Circulus hic ita oblique hanc Parabolam
secundi generis secare possic, ut incerfectionis punctum
cognitulit difficile, atque adco haec constructio ad Pra-
rinnon sicidonca. Cui quidem rei Facile remedium aF-
Terri posset, componendo alias regulas ad imitationem
hujus.
Sedincticutum meum non est prolixum librum con-
scribere, sed potius multa paucis comprehendere: quod
Fortejudicabunt me fecisse, qui consideraturi line,
quod reductis ad eandem constructionem Problematis
omnibus ejuldem generis, modum simul, quo ad inf-
nicas alias diverlas reduci, acque ita omnia infinitis mo-
disrelolri possine, ostenderim. Prxterca ctiam, quod
constructis iis omnibus, quae Plana lune, incerlectione
Circuli d linex rectae, Ec iis omnibus, quae Solida lunt,
inTeI-
10