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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 38, page id 834940469:0046
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=46
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000046.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.87
# 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.

merocerminus seriei A, C, C; _ ideo terminatio serici R, C.
F nempe Z, maior ecie terminatione seriei A, C, C, nempe
Z;dt ex Archimedis quadratura para bolae constar X cqualé
esse ipEC dempcorriente exc enus Asupra C, ee proinde 
cademmaior est, quod demonstrare oporruit.
PROP.
dt sL V a
THIEO
TIdem potieis: dico Z. leu Le-
 corem hyperbole minorem
ese quam minor duarum medis-
rum arichmerice concinué pro-
porcionalium inter A _B. Inter
A e BScmeaia Arichmerica (3, e
inter C _ B Sc media arirhmerica
EI, TLEM iNteF C XFIEE edia Arichme ICA MI. XC iNFEF M e
FI Giemedia Arithmetica N: concinueturque haec feries con-
VerDCnS A B, GFI,MN, OP, in infinicum, ve Rac eius termi
natiO X. Patis paret ex predictis C maiorem elle quam C; aF.
que HI media arichmerica incer C e Bmaior est media Har..
monica incer ea(dem CdeB; media aurem harmonica inter
C_B maior estmedia harmonica inter C. d B, nem pe D.
quoniam Cmaior est quam C; sei deo media Arichemetica
inter C de B nempe HImaior est quam D media hormonica
inter C e B. eodem modoM media Arichmerica inter C, _
Tlmaior ekmedia geometrica inter ca Idem C ec HI; X quo-
niam C est maior quam C X HI quam D, media geomerrica
inter C d Hmaior es quam F. media geometrica inter C et
D: de proinde Mmaior est quam F. Deinde N media arirti-
merica incer M XFImaior est media hormonica inter caldé;
de quoniam EI maior est quam L EAI quam F. media Har-
Monica inTer MI d FImaior eC quam F media harinopier in-
ter F de D: _ ideoNeadem F maior es. eodem modo ver2.
que leriem in infinicum concinuando, lemper demonstra-
cur cerminum quelibet seriei AB, C D, minorem esle quam
idem numero terminus seriei AB, C II; de isitur terminatio
Teriei