# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/824573315:0292
# Permalink to this reading: https://leibnizlegible.com/page/824573315:0292?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 80, page id 824573315:0292
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=292
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000292.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.84
# 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.

80
arithmetica Infinitorum.
PrOP. 106.
tur, vel etiam aliam mulciplicet aut dividat; exdem
leges oblerrandae lunc quae in Ceriebus directis Prop.
73CEBT.
Exsemplipratia. Si series secundanis reciproca (puta Z, +
3, 8C.) cujus index  2 respectire mulciplicetur in seriem
Tercionis reciprocam (Duca 23 3, 2,, ec.) cujus index eAt
3; prodibiC Series SBqUInEaNIS ECCipEOCA Z3 303242, _C.)
Cajus indCX in 5 = = - 2 in 3 UF DACCE.
liem si Feries tercianis recipioca (2, 5, 2,, RC.) cuius in-
dex = 3; respectire mulciplicetur per Ceriem secundanorum
(2, 43 9, BC.) cujus index 2; prodibie leries =, 8, 2,, 8C.
hoc cA 2, 3,33 ec. Pcimanis reciproca, cujus index  1 =
a 3+ 2
Icem s Ceries sublecundanis reciproca
cujus index = Z; respective mulciplicetur in leriem lecunda.
norum (1, 43 9, ec. 3 cujus index 2; prodibie scries
N 13
23
ac. vel 2 V 13 EV 20 =V3, _C.
123
r.t 1N1, 2 N2,3V3, _C. vel V F, V 8, V 27. 8c.) radicum qua-
deacicarum cuboru Ccu certianorum, cujus index = = = Z + 20
cem, si feries Cecundanis reciproca, cujus index in 29 dividat
Ceriem Primanis reciprocam, cujus
index un I; prodibic Ceries Pri-
manorum, cujus index 1 =- - 1
P2, nemDC L PminUS = 2.
Icem si Teries Primanis recipeo-
ca, cujus index n 1, dividac lcri-
em sccundanis reciprocam, cujus
index in 2; prodibie Ceries Prima-
nis reciproca, cujus index  1-
n 2 YL; nempe  D MINAS  1.
Icem, E leries primanis recipro.
cas cujus indez, 1, diridat Ceri-
em sccundanorum, cujus index D :
prodibic leries cerrianorum, cujus
index 3 = it HNEMDC Z minUS 7.
aca
pe