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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 40, page id 834940469:0048
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.90
# 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.

stro
vioii
acte
Rhecht paulolaboriosor. Ped non dissimulandum est duis
Poncesse leries aequalescerminariones habences, itavelem-
per quiliber cerminus rnius leriei sc maior quam idem nu
merorerminus alterius seriei; sed intalibus leriebus quo
longius producuntur, caminor est corundem numeroter-
minorum differentia: led e contra nostrae leries quo lonsius
producuntur, eomagis disterue ijdem numero rerminis LICuE
Facillime demonstrari porest.
Experiencia obleruo disterentiam inter secundam duarie
mediarum arichmetice proportionalium ee secundam dua
rum mediarum geomerrice proporrionalium temper esses
mulcomaiorem differentia inter lecundam duarum medis-
rum geomerrice proportionalium e lectorem circulis ellip-
Seos velhrperbole; quod nocaru dionu exictimo, hinc enim
collisicur sectorem differre vix vlera vnitarem a secuda dua-
rum mediaru n arichmerice concinue proxortionaliu, quan-
domedium arichmecicum non excedie medium geometri
cum vlera vnicarem, quod summopere norandum, nam ex
hoc cuidens est approximationem audacter esse adhibenda,
quando ica concinuatur series ve medieras prima nocarum
lic eadem in veroquerermino convergente, quod experien
cia eriam enincie; nunquam enim inhroc casu distere sector
vnicare a secunda duarum mediarum arithmerice ContinuS
proporcionalium.
Ft eriam alia approximario omniui breuissem a e maximo
admiranda, eciam imihinon continsar illam demonstratio-
ne geomerricamunire; nempe h prima nocarum eriens in
meroquerermino convergente siccadem, sector circulis elli-
pleos relhyperbolae semper differe intra rnitarem a maxi-
mo quaruor arichmerice corinue proportion alium intercer-
minosnostra aperoximarionis.
Tchrperbola quae cunque C. P N cuius cenerum A, alym-
d PEota A P, AO; Crque eius seCtOT A F C L cumeriongu-
PROP. XXVL. LISCDREMA.