# Leibniz Legible — https://leibnizlegible.com
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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 179, page id 824573315:0391
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=391
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000391.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine
# Lines: 48 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.

Ecpeopcelca bx
Orithmetica insinitorum.
C minor quem ZX V 13.
7 = =a) major quam Z + Y + a
+ 3
minor quam Z X 4 X N X Z
B+3
C major quam q X 4 X V 1 4
5
A XB
X5
PrOP. IGI.
HOc CK, OC
Et (Pari ratione) erit s = CX C
13
2e
minOT qu’a 2L 4
Ya
major qu a 2 X 4
3X3XGXG
taOt Glata 2 X 4X 4X6V 1
2X3X5Z5
sot Quam 2X 4 X4 X 6V I 5.
t (continuata ejusmodi operatione juxta TabelIXe leges) invenicure
3a 3XGXGX7X7 ROXGKIIXLLX13X13
minOx qUam 2Z 4 X 4 X6 X 6XBXBX1O a 1O x 12 +F2X14 X V Y 12.1
BXZZGZGRGKGROROEELMEETKI
CMAjOP QUAM ZX q. X 4 ZCXBZB A BX AOXIOXT2XT2XTq XVI 14.
Et hc deinceps quoulq libet. Ica nempe ut Fractionis Nu-
meracor hac continue mulciplicando numeros impares 3, 5, 7.
et
prori scur 14
_c. bispoliros; Denominator vero, concinue mulciplicando sumatur 27, quae
numeros pares, 2, 43 6, _c, bis icem poticos, excepris primo e
ulcimo, qui lemelponuntur: Pccoca deniqu ratio leu Fractio, paulo major st
Sc Facta, ducatur in Radicem quadraricam Elnitatis aliguora- Htu pro V1G souVIC
Parce lui auctae; ea nempe quae denominarorem habec eum qui sumatur 30, qua
eltulrimus numerorum, concinue mulciplicatorum, imparium, paulo minor est
si quaeramus numerum justo majorem, vel parium, si justo min
morem.
Acgi hoc pacto consq; cundem perrenietur donee majoris et
minoris differencia eractas quaris allignaca minOr; (quX PrOP
cerca, si supponacur in infinicum concinuanda operacio, tan-
B B B 2
dem
2G
92
HoceA, ∞