# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/824573315:0102
# Permalink to this reading: https://leibnizlegible.com/page/824573315:0102?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 18, page id 824573315:0102
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=102
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000102.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.94
# 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 dectionibus conicis.
DRC
conica Factas, (quas in proposicione detinirimus,) nonnum
quam vero ficuras planas ejulmodi curris cerminacas, incelligi.
Siquando aurem de ambienitare signiticationis meruatur, non
incommodum erie linea rel plani rocem adjungere; uc linea Pa-
rabolica, planum Parabolicum, _C.
Honendum es etiam, Cub Ellipseos nomine (quod camen alii
non Colenc) me etiam Peripheriam Circuli comprehendere, (vel
etiam ipsum Circulum.) Circulus enim ab ENipsi (Eguram in-
cellixe linea Ellipeica comprehentam) non alicer differt
quam ue Ouadrarum a Pasallelogrammo. Nam ne Parallelorram-
num cujus lacera Cune aequalia ansuliq; recti, vel CA libet) cujus
diametri conjusatae une aequales et ad ansulos rectos, Chabene
enim e sgura reccilinea luas diameeros, quanquam non ve
currilinex infinicas, Cuilq; diamerris ordinaeim applicatas; e
quidem Parallelogrammum diamerrorum habet duo paria,
nempe duas diagonales, e duas laceribus parallelas le muruo
bilccances; tam illX auTeM quam BX sUNE COnjuSAtR;) CA Qua
dratum: Sic Ellipsis, cujus diamerri conjusaex lune aequales d
ad angulos rectos, Circutus cR. Bc quidem ca omnia quae F Ilix.
sibus unirerlalicer conveniune, conreniune etiam circulis, (non
minus quam qua Parallelogrammis conveniune, conreniune
Duadraris, nisi quod Elliplcos appellacio non Coleae illis ac-
cribui. Sicuinostra hec phrasioloria non placears Fruacur suo
lenTu; modo sciac, quid apud me F Ilipleos nomine BemitCetur;
quod neceltario monendum crac,
ne dieca notra perperam incelli-
Santur.
Monendum insuper ekt, Ouod ea
omnia quae jam expoluimus de u-
no Lriangulo ver. axem, un de C0-
num Formari supponimus, paricee
intelligenda lunc de infinicis aliis
Priangulis Conum per axem diri-
dencibus. Porec enim luper eorum
quodris ejuemodi Formacio Coni
supponi. Manencibus enim eildem
centris, distanciis, se planis, iidem
Formantur circuli, quamris alix
acq; aliae Cumancur Diametri, hoc