# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/824573315:0187
# Permalink to this reading: https://leibnizlegible.com/page/824573315:0187?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 103, page id 824573315:0187
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=187
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000187.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.89
# 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.

P R OP. 44.
DeSectionibus Conicis.
minor evadat; supponendae suns (in infinitum cominuatae) tandem conve
nire.
Duod quidem eodem modo demonsrari potest quO LL AF-
chimedis de circuli dimensione, aliaeq: passim apud Geometras de-
monstrari solenc. Nempe, E in infinicum concinvencurs vel
COnCUErenE (quod actirmaCUE,) vel adhuc distabunE; at hoc eA
impostibile: Si enim distene, etto ca distancia sive differencia a
quancumris exisua, probari aucem pocest eas propius accedere
quam eA ca distancia altignata, C hoc enim Ponicur:) non 1gi.
cur dictanc; conreniunt erso. Ouod erat demonstrandun.
Neg: Potek quidem hxc demonstracio quoris modo eludi,
maxis quam illa Archimedis modo memorato, aliaq; apud Ma-
chemacicos innumera.
PROF. XLIV.
Fllipseos es Ey perbolae comparaiio.
Atet ex Ellipleos e Typerbolae doctrinâ supe.
rius tradita; carum ad invicem cognationem
maonam esle. Maximum sucem inter eas dis-
crimen (unde ex reliqua ommia ortum ducune) hoc
cA. Quod in Ellipsi, diameter transversa atquue intercep-
ta super se mutuo replicari supponitur; in Ryperbola vero
se mutuo continuare. Adeoq. in Ellip(iVa = Aa
AD = +  d; in EIyperBOla verO Da = Aa + AD
+t d. Atg; hinc quidem Ellipseos incurratio vertus
centrum, e Ayperbola recurvatio a centro, aliaqs
omnia quae interveniunt discrimina: ut probe atren-
denti pacebic: Adeog; torum tere Fllipseos doctri-
nam yperbola accommodavimus (consulto quidem,
uc earum cognatio melius percipiatur) cocidem fere
verbis mutatis eantum signis F
Acq; tractenus Parabola, Fllipleos, & Ayperkolae doctrinam,
succincte quidem, sed de dilucide cradidtimus.
103
eP B
1X