# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00066617:0002
# Permalink to this reading: https://leibnizlegible.com/page/00066617:0002?run=39
# Title: De Constructione (shelfmarks LH XXXV, I, 17, Bl. 1 - 17; LH 35, I, 17, Bl. 1 - 17)
# Folio [1]v, page id 00066617:0002
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00066617&page=2
# Source image: https://digitale-sammlungen.gwlb.de/content/00066617/jpgs/default/00000002.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 59 lines, status machine
# Lines: 59 recognised, mean confidence 0.93
# 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.

fierent universales.
Hoc illi institutum si
absolvissent, totam nobis Geometriam sedidorum
sive secundi gradus perfectam de insigni com–
pendio dedissent
sed quoniam
se sed quotram synthetica nethodo per
theoremata praedemonstrata ad propositum
eniti voluerant; imirum non est, aditum
ad prosolemata difficiliera repesrisse nullum.
destituente eos Patientia in ea itineris
asperitate, et anfractuum multitudine, quae
schemata contemplantes, et Conum mente
versantes, passim ex fatigabat. Quanquam
autem opus impirfectum reliquisat,
quae tamen ipsi per Synthesine in sol reliquerint
reliquissent, inimitabile tamen reddidisse visi sunt
multis. Nam quod ipsi in solido et per synthesin generaliter
quas
demonstraverant conicarum Linearum. Harmonias
eas Analytici postea secuti re ad planum traducta
(quod fateor ingenti labore imaginati
nondum exhibuere, ne ipso quidem stri vira
Johanne Wittio excepto, qui tamen Analysin
conicam omnium longissime protalisse videt
ac
promovisse videtur.
Hoc cum mihi de Analyseos auSyntheseos
comparatione verta facienti sententiam dicenti nuper
Illustris Carcavius objecisset, agnoscente m ad tentandum
adit excitavit  qua ratione consque produci
posset Analysis quo synthesin perventuram
pro desperato habebatur. Aggressus negotium
vidi novis quibusdam a characteribus opus
esse, vii quibus am bigna sic variae signorum ambiguitates
exprimerentur vidi iindivisibileatus infinitum
calculo analytico misceri debere, quod unum non
satis observasse videtur profundissimus, caetera Cartesius,
denique modum reperi analyticum, quo sectiones sonice
perinde tractari possent, ac si unicum extaret
figurae cujusdam genus sectionis Conicae nomine;
cujus figurae, taugentes perpendiculares centra
axes, vertices, focos; abscissas ordinatas
tangentes, perpendiculares: nulla specierum Hperbolae,
parabolae, Ellipseos, Circuli rectae, mentione, conside statim prodat
possunt haberentur, unde theoremata universalia
innumetrabilia in promtu habeantur sunt, et ad so-
habent fuere, et ad omnium problematum
Conicorum solutionem communem mihi strata
est via
H vera dici
a natura aequatione universali explicata
Aaequationibus compresensibilium
me
U
p
ut
ne
1