# Leibniz Legible — https://leibnizlegible.com
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# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 145, page id 1047377675:0161
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=161
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.93
# 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.

X
Existence plena; eodem modoillustratur rerra à L unae hemi
Sphario radiance, quo illustrarecur li vndique radioret lu.
na; supponamus rndique radiari lunam: Puexonimus eriam
lunam radios solares absque vila debilicatione de ex omni
parte aequalicerrefectere. his suppolicis, cvidens est vires
omnium radiorum Colorium in cerram incidentium ad cemis-
Tem virium omnium radiorum lunarium esse in rarione du-
plicata chordarum parallaxium horizoncalium (olis ex FerrL
e ex luna, suppolico lemper reriusque radios in equalia spa.
tia congregari: acque vires omnium eadiorum lunarium
Tunc ad vires omnium radiorum lunarium in cerram inciden-
eium, in duplicaca ratione chordarum, semicirculi ec paral.
Laxeoshorizontalis lunxe, radiis Peil. in spacia aequalia con-
gregatis: d sumendo ancecedeneium dimidia, semissis viriu
omnium radiorum lunarium est ad rires omnium radiorum
lunarium in cerram incidentium, in duplicaca ratione cROr-
darum 90 graduum e parallaxeos horizonealis lunae: p2-
Fene ergo sequenres analosix; rires omnium radiorum (o-
larium in cerram incidencium sunt ad semissem virium om-
nium racliorum lunarium, in racione duplicata chordarum
parallaxium solis exterra ec ex luna horizontalium; deinde
Temissis virium omnium radiorum lunarium est ad rires om-
nium radiorum lunarium in cerram incidencium, in dupli-
caca ratione chordarum 90 graduum de parallareos hori-
Zoncalis luna radiis lemper in aequalia spacia congregatis:
aeradii lolares de lunares in cerram incidences in aequalia
spacia congresantur, nempe cerrae hemispheria. Suppona
tur quoque cerrae hemisphaerium a Cemisse omnium radiorit
unarium etiam illustraris eruncque terrae hemispheriorum,
aradiis solaribuss a lemisre omnium radiorum lunarium, et
aradiis lunaribus libi debitis, illustraciones, in eisdem racio-
nibus cum riribus radiorum eadem hemispheria illustran.
eium: proportiones isicur pradictae iea se habene; illustra-
tio cerre a sole est adillustrationem cerre a lemisse radiorit
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