# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/824573315:0296
# Permalink to this reading: https://leibnizlegible.com/page/824573315:0296?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 84, page id 824573315:0296
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=296
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000296.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 recognised, mean confidence 0.81
# 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.

B4
Arithmetica infnitorum.
PrOP. 1061
Licuisser quidem d pramissis mulca Tubjungere, de mulca pat
tum incerpolare, quae ex principiis jam cradicis facile deduci
pollene. Verum cumea, quae jam cradidi, arihi rideancur e
bunde susticere, un e ipta perspicue Pacis imccHligane,
 pertectam Caris serierum (cam simplicium quam
compolicarum _ ucrilque Rcciprocarum) tractacio.
nem videantur concinere: ad serieo Coxjunctas (sire ad
Binomiorum sire Apocomacum Formnm) explicandas, Ecklunm
dum sencio.
PROP. CVIII.
Theorema.
P Ceries Aqualium Perie Primanorum respectire
muletetur (puca, si primus terminushujus a pri
moillius auteratur, secundus a secundo, e c.)
Residua erune Pemissis eocius: Tin Ita aUGCaEUE; A8.
regatorum series erit exposirae serici sequalium sel-
guialtera.
Intellixe, E AEqualium de Primanorum eerminus elrimus
Idem sc (vel 2gua l15) Ouod e deinceps aliguorier incelligen.
dumerie. (n Tuerinc inaequalce, non camen erie difficile rariones
proreniences invenire; quod monvisse lusticiat, cum id quilibec
Cuo maxce pealtare poterie.
Sic rerbi gracia cerminus sEqua-
tium quilibec de primanorum MAX CR L Oa
usR; ejusque pars intinice parra R  1a
dicacura=
t
 numerus termino. (R  2a
rum omnium (vel ligurae altieudo   3 a
A:) E Termini.
C Eec.
concinueneur in intinicum esque act . . .. R = R
a t∞
2F
R + 2 a
E2 + 3 a
_c.
R + R
erie ReliduOtE De ACGreSIEORE CumA. AH, ZAR AKtZ AK
Nam omniu AEgualium apresacu eric AR Cur Bacec;) Primano
rum agoregacum ciuldem Cermistie ZAR, Per FTOF. 2.) R190
a R m. Z A R
EA R, _ A R + = AR -- E A R. Hmve
Leciei A galium (A. R) illud cA Z, hoC 2: BECIE aBICMSIUS.
Hoc cA, cric illud ad teriem aequalium ic 5 28 1, vel uC. 3d 2:
ADCAUTEM, 1C 3 3d 1, vel uC F ad 5, Vel3 a d 2.
C