# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/834940469:0043
# Permalink to this reading: https://leibnizlegible.com/page/834940469:0043?run=74
# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 35, page id 834940469:0043
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=43
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000043.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.88
# 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.

maturum esse quam idem numes
rocclhinusctesesaemnariolerici aCi
DempeZ maior ericterminatione leriei A. C. C nempe X, ap
ex Archimedis quadratura parabola constar Z cqualem cs
se ipsi C vna cum eriente excessus C supra A, e proindeL
cadent  at, quod demonstrare oporruit.
F
quemcungi Periei
PR O P. XXI. YII E OR E M A.
leu icciorem eneun derc
pleos minorem esse quam maior
duarum mediarum continue peO-
pertionalium arichmerice incer A
_ B. INTeE A e B Ac media AriTH-
merica C, ee inter C de BEF me-
dia Arichmerica II; icem inter C
XHISE media Arichmerica M, _ inter M _ TI sed media A-
richinerica H; continueturque haec series convergens AB, C
TI. MNF, OP, in infinicum, vehaceiusterminario X. Taris pa-
ter ex praedictis C maiorem esse quam C, deque Fimedia A-
richmerica inter C e B maior estmedia harmonica inter
ealdem C, B; media aurem harmonica inter C e Bmaior eR
quam D media harmonica inter C _B, guoniam C maior
est quam C; _ ideomedia Arithmerica inter C e B, hoc est
TE, maior est quam D media harmonica inter C SB. codem
modo MImedia arithmeticaiurer C de HI maior estmedia
Beometrica inter ea Idem C _ HI: d quoniam C elt maioe
quam C, ee IT quam D; media geometrica inter C e FImaior
CA quam F media seometrica inter C de D; ee proinde M
Maior ec quam P. de inde Nmedia arichmericantEF M _ II
naior estmedia harmonica inter ealdem, d quoniam HIma-
ior Cit quam D X M quam F, media HarONICA INTETM _ HI
indior est quam F media harmonica inter E _D; de ideoM
cadem F maior est. cadem moclo veramque seriem in infini-
cum conciouido, semper demonstratur terminum queniss.
bet
IIdem policis qua upu u