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# 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 78, page id 824573315:0290
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=290
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000290.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.75
# 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.

Arithmetiea infinitorum.
PrOD. 1OA.
PeF PFOB. 64.) rario proveniens erit a ad  x F 1. hoc eA
2 a40.
LO P. CIY. TheOreMA.
denigs ejusmodi Figura ADBB, Ec continuo
decreleat juxca seriem quee st reciproca directae
indicem habenti unicace majorem; habehit illa
ad Parallelogrammum inscriprum rationem pluS-
quam intinitam: qualem nempe habere supponatur
numerus politirus ad numerum negacirum, (vC inI
noremnihilo. Nempecam, quam habet i ad indicem
unitate auctum.
daanonaaananmnam anananammna
t
aaa1a0n
nan ongime n annamaunum
.
noninnan nannonanan
et
na
es.
amannamamemanannu
annannanaromanan
Pura cum indices seriei Eccundanorum, Tercianorur
OuorcanOrum, _C. FInE 2, 3, 4, _C. (unitaTE majores,) indices
lerierum illis reCIPTOCATUM CTUINE L 2,  3, = 4, _C. 91II
GUAIVIS NNIEaEC AUGCaNEUE (JUXCA PFOD, 64.)manebune camen
nesaciri, pota  2Fe = - -- 2, a 3 Y 1 = -  2, - 4Y1 - - 3, _C.
_ propcerea racio quam habet 2 ad indicesillos Hic aueTOB, DUTe
Y ad nn 1, 2 act muo 2g Y ad  3, _C. MaIOC CTIE GUAr
infinita, sive 1 2d0; quia nempe racionum consequences lune
minOres quam O.
Acque idem continget, si Tumatur reciproca Ceriri radicum
quadraricarum Tertianorum, Ouarcanorum, Ouintanorum _C.
Ccujus indices Cunt 2, 2, E, _c.) vel indicum cubiearum
Duarranorum, ouintanorum, Sextanorum, _c. (cujus imdi.
ced
pee