# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/824573315:0104
# Permalink to this reading: https://leibnizlegible.com/page/824573315:0104?run=74
# Title: Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio (shelfmark Leibn. Marg. 84:2)
# Folio 20, page id 824573315:0104
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=104
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000104.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.90
# 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.

De Sectionibus conicis.
OAO, unum aliquem ex parallelis circulis OBO Cccance
in OO: Ducatur in OBO circulo, diamecer ipA OO per-
Dendicularis, quae sic B5, et compleacur Triangulum V BS.
Pacet enim Planum Coni. sectionem efficiens, criangulo VBS
iea imsistere, (BUEA in AD,, quae propterea Coni lectionis dina
MBeTer erit,) aE circulum OBO Cccer lccundum rectam 
ipsius Diametro B S (quae e Trianguli V BS balis cA) perpen-
diculerem, ouod erae Faciendum. Triangulum ixicur V BS
Allud est. secundum quod Conifectionio O AO natura _ prC.
priecares sune perpendenda. (si aucem non ipla BS, Ccd alia
aliga, pura B8, Fuissee iDh OO pervendicularis; cum non
Triangulum V BS, Ced VB, Teligendum cNcc.)
Er. quamris aliunde quidem rerum sic (ur Tuo loco dicerur)
alias Diameeros (aliorq; proprerea rereices) conitectioni OnO
convenire; tola camen A D ea est qua dici Tolet Diameuur ex pe-
meratione; ircellises prour iam huic Cone applicacur: Namre
vera eadem COni. sectio porest vel alii fortan Ca nn vel eciam
hruic in aliosicu, iea accommodari, uc alias habicat DiamCEros
ex gencrarione.
Acg haec quidem ad pleniorem propositionis incelligenci
aM monenda duxi.
Sed Z alcerius monendum es; ouod, quum diximus Punetum
A inurrovis Trianonli crure, puta V B, ubivu assienari passe; V el exsi-
piendum erit punctum Verticis V; vel, pro C omr. sectione exlpectata, pro-
dibit aliquid simplicius; eo nempe quod una Calcem quanticarum
ex quib is Coni. sectio dependet, cranelcet in nihilum scu non-
quaneum. Nam, verbi gracia, Ei punctum a assignetur in cruris
B puncto V, e velim Parabolam deleribere; recta AP (qua
ducenda erar parallela) cumipla VS coincidets adeoqu rectx
SD eranelcent, ee proprerea eranelcent ordinacim. applicaca
DO, (nam R alcera mulciplicancium BC o ciptra, eric d
quanticas produeca 0 ciphca:) adeoq; Parabola prodirer nulu
lius lacicudinio, hoc ek, linea recca, terminaca quidem ex parte
A vel V, intinita rero ex parce P, vel O: (coincidene enin
puncta P, O. propeer nullitarem ordinatim. applicacarum PO.
vel DO.) eodem modo, _ delcribenda (c EllipAS; POscO
Puneco A in V, (ubicunG: In CrUrC V S (UDPONATIE a,) prOP.
eer coincidentiam punctorum A, V, coincidene criam recta
Aa, Y a: ideog; cranescencibus rectisS, cranEECEnE etiam
C