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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 1, page id 824573315:0213
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=213
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.78
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

 e
ea e e
eoe e vedant
Arichmerica Infinitorum.
S Y V E
NOVA METHODUS INOUIRENOI
in Currilineorum Cmadraturam, aliaq)
en
t
d 
dificiliora Matheseos Problemata.
PROP. I. Temma.
I. proxonatur series Duancitatum arith.
 meticeproportionalium (Sive juxta natu
ed rale numerorum consecutionem) conti
o nue crescentium, a puncto velo (ciptra,
 Ccu nihilo) inchoatarum, (DUt2 UE O, I,
2, 3, 4. BC.) propolicum Cc inquirere,
quam habeat rationem carum omnium dggregatum,
adagcresatum totidem maximae aequalium.
Simplicissimus inseBigandi modus, in hoc et seguencibus a-
liguoc Problemaris, cR, rem iplam aliquoulq; peastare, _ra-
tiones prodeunces ob serxare aEq. InVICeM ComPaTATE; uL Ia-
ductione candem unirertalis praposicio innoccleac.
ERigicur, exempli gracia,
0 + 1 + 2 +3 --6
3F 3F 3 + 3. 12
c. + 1+ 2 -
2 Y 3 3
Ot 1 +2+7+ , =- 10
4+. +, F, + 1 - 20
07 1+ 2+ a F + 5 - - 1~  0 +1 Y + 3+ 4 + +6 -21
+5+5F, 19F5 = 30 = 6+6+ 0+0 + 6+ 6+6 -42
EFPari modo, guanruntibec progreciemue, prodibic len pet
ratio subduxla, Adco9; ----
PB OF