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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 36, page id 834940469:0044
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=44
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.89
# 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.

veclectet B.CD Mhinoremi esse quaidemnuitseto a
nustertet. HB. Clhidelsiturterminatio leriei AB. C en
DeZ minor ericcerminarione serici AB, CFI, nempe L, illes
extruius 7 terminario seriei AB, OFI, Peu Z aequalis estmaio-
ri duarum mediarum arichmerice conenue provorrionalier
incer A ∞B, _ ideo Z cacem minor est, quod demonstrandu
CTaC.
PROD. XXIL. TEIEOREMA.
TIdem policis quae Tupra; dicoz
 seu sectorem circulivel elliple-
osminorem esse quam maior dua.
rum mediarum geomerrice conci.
nuc proportionalium inter AeB.
inter A d B sI media seomerrica
Cde incer C eB Gc media gconc.
cricaI; Irem inter C de H media CTCOmetriCA MI, QL inTCFM X
LE media Ceomerrica Nicontinueturque hraec leries conuer-
genS AB, GTT. MN. OP, dc, in infinicum, vehace ustermi-
natio Z. lacis paret ex praedictis C ee C esse inter le requales.
icem Amaiorem esse quam D; acq; ob hanc rarionem Mme-
dia geometrica inter C de HImaior est quam F. media g50-
metrica incer C de D. deinde Nmedia geometrica incer M e
HImaior est media harmonica inter caldem; de quoniam et
maiOr es quam F _ HImaior quam D, erit media harmoni-
CainEeFM SEHImaior qua Pmedia harmonica inter L EED:
ee idco Hmedia geomerrica intet M ecHI maior erit quam
F Cadem mechodo veramque seriem in infinicum continuan-
do semper demonstracurcerminu quem liber seriei AB, CD.
minorem esse quamidem numeroterminus serici AB, CLL;
disicurterminacio seriei AB, CD, nempe Z MINOLCRIE Ter-
minatione leriei AB, C:tI. nempe K: acque e huiusocermi-
nacioleriei AB, C:H, CCu X, aequalis est maiori duorum me-
diarum seomeerice coninue proporcionalium incer A e B,
ecideoZ cadem minor CC, quod demonstrare oporruir.
dCTIO.