# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068194:0431
# Permalink to this reading: https://leibnizlegible.com/page/00068194:0431?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 216r, page id 00068194:0431
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=431
# Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000431.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 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.

Constructio Problematis solidi dati,
ope Circuli cujusdam, et sectionis Conicae datae
formula generali omnibusque pariter Conicarum
speciebus, et Aequationum formis, communi.
quod hactenus ad solutiones universales Proble,
matum conicorum desiderabatur.
Esto Problematis solidi propositi aequatios inventa: Y ut  + rm   B
sads sedioni puersum
ejusde transversum
e eate
94 cpsen =B+  +
Constructio haec erit: Sectionem Conicam datam in vertice A tangat recta AK
1 V + Er. (in eadem producta si opos est, ecedat ab A, recta R S  F) 9
sive compendiosius) ab AK, ex A, auferatur 1Y, residuoque duplidato
- + 2F +C d. addatur + β- g. ut habeatur recta KC
producatur in alteram sectionis labus, ultra A, in S, donec fiat A5 - p + B = g
Unde normaliter exeat a vertice, A, recedens, 62  D- 1 +  Jungatur recta 
et ex K erigatur normalis, quae possit  + β8 + P  Centro, 2 rudio
2 H. descriptus circulus secabit sectionem d Conicam in punctis unde demissae
in rectam indefinitam KV, avi parallelam perpendiculares K V. erunt
aequationis propositae Radices qsta, y. Quod desiderabatur ad
problematum Conicorum solutiones Uuniversales aliquanto
Sane mutatis quibusdam, certis casibus calculus non pauto brevior reddi potest.
sed cum praejudicio universalitatis; cujus in hoc problematum genere major
habenda est ratio: id ipsum enim maximum calculi compendium est
casus ipto tum pro curvaum in problemate propositarum generibus varios
tum pro punctorum in quaestione datorum ois situ varios; una aequatione
universali, sed et una episdem aequationis constructione complecti.
Universalia ergo Conica, scient  Geometriae partem a Desarguesio et
Pascatio synthetica methodo coeptam, nunc arte analytica absolutam
arbitior: nam et aequationes semper haberi possunt generales; quod est totidem
theoremata condere, et constructiones problematum  omnium quae in data
quadam sectione Conca destiderantur (modo sur solida non sint) perinde
ac si semper plana essent lincis tantum rectis ac circularibus effici
possunt.
ea