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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 184, page id 824573315:0396
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=396
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000396.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.79
# 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.

18 +
arithmetica insinitorum.
quadratum Fg F2 F + F =
PrOp. E92
4F 49+ 1bF c L 30 F 4 + 8F.
E
1
Adiungantur deinde Fractiones bina; l’cactiones emersentes
2F
2F. FF 2 F 2F+ 4 f 3 contticuent rectangulu
2 L + 4
AFCZTTF AFCF 2AF 9Z 39F 4 54
+F 9+9
4F9 + 16F + 25
26F c c + 9b F c9+ 2.80 F 99 F 480F c + b19 F9 Z E6a F
16F99+ 64 b c F 136t 9F144 t + 225
quod minus est quam quadrarum F4 + 2F + 1 -
26FcC + 96Fc9 + 280F99 + 180Fc + 611F9+ 50+ F + 335
16699 +64F c + 13669 + 144 l + 223
EFEC quousq: procedatur, prodibit rectangulum quod erie
nunc minus nunc majus (alcernis vicibus) quam expolicun
quadracum, (quae camen differentia DerpecuO MinUIEUE, UE Pa.
Eec,) quod crac demonstrandum.
His aucem he inventis; porerunt illa ad Ceries nostras ic2 2C
commodari, ur inde innocelcane cermini in cabella desideraci
juxca honc nocacionis modum detenandi.
Exlempligracia; Tabellae notrae Ceries prima componitur,
Cuc lupra ottensum eAt) in locis imparibus, ex concinua mu)-
eiplicatione. R X 2X Z X = X Z_C. vel AX ZX ZX , 8L 7Z _C. EF
in locis paribus 2X = X Z X Z x 3 _C. vel LXZX 5. x 22X 26 _C.
HlOc eAt
26
8116) 26l1
x
_C
244) 22a
eleriam, (quod eodem plane recta,) ad hanc Format,
6
10N12)e 1O(2