# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/824573315:0251
# Permalink to this reading: https://leibnizlegible.com/page/824573315:0251?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 39, page id 824573315:0251
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=251
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000251.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.92
# 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.

PrOD. 40.
rithmetica infinitorum.
Ceps; quia 2, 3,5,7, _C. lunc Arichmerice proporcionales, ProuC
Ulnicas, Radix, Ouadracum, Cubus, Ecc. Tunc porestaces proxi-
me Cequences ee Geomecrice proporcionales.
Nec hoc aliud ek, quam quod habecur in Tabella; nam sI
quanticaces assumpea linc Ccries Sccundanorum, cujus ratio cA
; earum quadraca erune leries ovarcanorum, cujus ratio 55
e carundem cubi erun leries Sexcanorum, cujus ratio 3; _c.
uc dictum cA.
PROP. XLVIII. Corollarium.
lconsequenter, Conoides vel pgramidoides com
plemento semi. parabola (cirea ipsius diame-
trum) aptandum, est ad eylindrum vel Prisma
saper aequali base aeqne altum, ut 2 ad 5.
Nempeli complementum semi parabola rectae, AOY, Ma-
nence recta AY, circumrol.
ratur, ur delcribatur C0-
noides rectum: vel, uni-
verlalicer, si (juxta metho.
dum a nobis indicatam
DTOP. 5, 6,9. Con. Sect.)
diametro vel aXi AV, Or
diiracim applicentur circu.
lis vel similia queris plana,
quorum vel radii vel rectae
timilicer politx racionem e-
andem habeant incer (c qua
recta TO, TO, _C. uECOm
pleatur Conoides vel Pyra-
midoides sive rectum sire
inclinatum: dico illud Conoides vel Pyramidoides esse ad Cy.
lindrum vel Prilma luper eadem Bak aeque alcum. uc 1 ad5.
Nam, cum rectae omnes TO, TO, _c. Lunc lerics Sccundano
rum. Cquibus cenvenic rario Lad 3;) limilia quaelibee plana
luver has rectas limilicer conttitura, crunc incer se ut horum re-
carum quadrata; lire in duplicara racione rectarum TO, TO:
Acracio sexiei rectarum illarum conveniens (Periei quipre le-
cundanorum