# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/824573315:0191
# Permalink to this reading: https://leibnizlegible.com/page/824573315:0191?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 107, page id 824573315:0191
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=191
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000191.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 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.

DeSectionibus conicis.
DROP. XLVII.
De Paraboloidis Cxbiealis Diametris.
H Paraboloide Cubicali Diametri sunt invicem pa-
a rallelae: Et cujulvis diametri Ordinatim applicata,
Cunc rectae in ipsius Verrice contingenti parallele.
Demonstracio Facile incicui pocerie ad micacionem illius
quae de Parabola adhi-
becur ad prop. 24. nise
quod PF, quae ittic dici
tur 2d, hic dicenda est
3d. EaM RCtPC ANA.
lycice sic examinabi-
mus. Supponamustci
licet rem ita cAeut per-
hibetur: Adeoq; re-
etam Pa, quae parabo.
lam Aa in puncto a
concinsac, diameero
PA productX Occurre.
re inf; eiq. parallelam
OO parabolae interip.
eam, quae (produca)
eidem diameero lupra
verticem occurrat in
C (adeoq; s intra ver.
ricem diametro occur-
rat, cum cam duarum
DC, quam duarum
DO, de quibus mox di-
cecur, alcera erit quan-
cicasnesacira, quod camen calculum non turbabit;) iplamq:
OO recta a n (ParaIIela diemeerO AP) bisectam in x Cue
nempe rectae O, rO, sinc ip( an Ordinari m. applICALEs ) de-
niq. diametro AP orcinacim applicari OD, OD, ab, iph9.
falsum thion
ma.
partelalam
PROL. 47.
107