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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 67, page id 175905688X:0089
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=89
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.87
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

C
le
cc
ca omn
nen
LIBER YT E R T III S.
De Constructione Problematum Solidorum; es
Solida excedentium.
qAmetliomnes linex currae, quae motu aliquo quanam
Ordinato deleribi pollune, in Cicometriam lune curva linea
recipienda, non idco tamen permiltum est ulL possint au
indifferenter qualibet, quae primum occurrat, ad PrO- conseruuto
blematis cujulque constructionem; (ed cura seper ad- nem cujus-
que Lroble
hibenda est, ut simplicissimam, cujus opc id iplum (Ol- macio
vi queat, eligamus. Vbi quidem obserrandum est, per
simplicissimas non solum intelligendas csse illas, quxe
omnium facillime describi poltunt; neque quae propo-
siti Problematis constructionem vel demonstrationem
laciliorem reddune; sed praesertim, quae simplicissimi
sunt generis, quod ad quantitatem quaelitam determi
nandam inserrire queat.
Duemadmodum, exempli caussa, ad inveniendas Exempliui
totmedias proportionales, quot libuerie, non opinor concernens
in veisth0-
modum ullum taciliorem dari, nec cujus demonstratio nem plu
evidentior sc, quam si currae lineae adhibeantur, qua rium me
perinstrumentum X P L (supra explicatum) delcribun. diartmpro
Porroca
cur. Erenim SI inTeF Y A _ Y L duas medias PFOPOF- lium.
tionales invenire libeat, oporcet cantum circulum de
Seribere, cujus diaerer sC Y F, qui CUIEVaM AD SCCCE
in puncto D, cricque Y D una ex qualitis mediis pro-
porcionalibus. Cujus rei demonstratio ex sola instru
mencihujus ad lincam Y D adplicatione perspicua est.
Nlam
adhiberi