# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/824573315:0293
# Permalink to this reading: https://leibnizlegible.com/page/824573315:0293?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 81, page id 824573315:0293
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=293
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000293.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 recognised, mean confidence 0.86
# 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. 107.
drithmetica Infinitorum
Icem E Ceriem Primanis reci- 1)
Precam, cuj8 index nn X, diridac 4
Eeries secundanorum; cujus inclex 9)
23 prodibic Series Tercianin reci.
Proca, cujus index in 3 =  2 L 2, HeMDC = C minS 2.
acque idem concinsee, in aliis quibulris huinmodi Periebus.
Adeoque constat provolicum.
eROP. CrII.
Corollarium.
P Propterea; Si ad hujusmodi Reuran A DB A,
(ex una parte in infinitum productam juxta
quamcnnq Periem reciprocam, aptetur (eo modo
quo 9 Prop. Con. Sect. e alibi supra ostendis) egrami-
doides vel conoides inversum, (seu porins C alatoides:)
habebit illud ad cylindrum aut Prisma inscriptum C super
eadem basi eque-alium) eam rationem, pvesinitam sive
infinitam seve plusquam insinitam, quam praecedentia
Theoremata docebunt.
 Poca, si planum sic rectarum serses subtercianis reciproca,
cujus index n 3, adeoque racio quam habet ad paralleton
srammum inCcripcum (per PrOP. 68, _ 102) ve 1 ad 3 (=  
t X) hoc cA, uc 3 ad 2:
tolidum ex cocidem plan
nio constans in rectarum
earum racione duplicata,
erit Cerieo Ouadracis Cub
rercienorum reciproca, cu-
sues index (Dec PFOD.
106.)  3- na 3 on
vel  fplIS m 7 e ratio
illius Colidi au inferio
cum extincrum vel Prisma (saper eodem baki xque altum) us
2 2d: = - 2 Y 1, rel uc 3 ad s utrobique ratiOBnitR. Per
EFOD6ASCF 2.
Siplanum, sie series sublecundanis reciproca, cujus index
23 adeoque rario ipus ad Porallehogram mum inlcrixiem
e
EBF