# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/824573315:0128
# Permalink to this reading: https://leibnizlegible.com/page/824573315:0128?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 44, page id 824573315:0128
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=128
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000128.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 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.
# 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.

4. 
EtLM L A -
De Sectionibus conieis.
DA HAS, BC AS-
6SHLA.
Denigi (producta prius diametro DA, extra HIy-
Perbolam, donec OpDosio vel Triangulo vel Cono
occurrat in a, ut habeatur Diameter-transverla A2,)
erir (propeer similia criangula) A2 AS:: Da. DS
di
Aa  AB; ideOq; BD HDS (=-DO9) = Da
Aa n AS HBD
A HLAM DA, C quia RCMDCBDK AS =DAKLA
uc dictum est.)
Hoc es. Csubstituris idoneis symbolis, nempe , -
Aa, d-DA, 1Fd = -Va, I=L A, eE h- DO,dOuadra-
cum ordinatim applicata in HyperbolZh2 = ed
1dt c =
la
=aI= H=Ict d2 (omnes enim hae HOTa-
tiones tantundem valent. ) Et quidem tam separatim
ld =-FD HDB, EC, d-F5 HDB, quam conjunctim Idt
=de- FD KDBFESKDB SDKDB DO9.
Esg. hoc quidem primarium acq; estentiale Hyperbolae Pym
Deoma, un de reliqua dependene omnia e calculo comprobari
Possune. Religuas Hyperbolae affectiones deinceps inveltieabi
mus, uibi ablolucam ipsius cractarionom (line respectu habito
ad Conum) instiruemus.
Acq: tractenus quidem Coni. sectiones vulgo distas, Parnbolams
Elliptum ac9: Hyperbolam, inspecto Cono considerarimus, ue
qua a Cono secto (quod B nomen inmeit) originem craxisle
reputaneur. Adcoq; primaria llarum Cymptomaca ab iplo de-
duxi, quod e de aliis illarum affectionibus fecisse (si id opus
essec) non adeo esset disticile. Coniam autem carum natura
magis ablolura eB, quam nc ad Conum Tolum percincre vide-
antur; priorem concemplationem cousq: prosecucus sum, Uc Q
tenres aperirem unde Veceres doccrinam suam hautisse viden.
eur, _ quibus pastibus ad abulas illas quas exhibene demon-
Araciones aur pervenerime auc Calrem perremisse poruerint; P
essentialia
PROP. 2C