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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 85, page id 1047377675:0101
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=101
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000101.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.74
# 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.

ia
A
nd
t
1at
et
d.
68
st
t
IH
MI
Os
a
est
perlihE exedem; erie, remomenta omnium EII nempemo-
mencum eorius rectansuli ABED ad momenta omnium GFI
nempemomencum Ligurx B C F, ita circuliomnes ex radiis
FHnempe eplindrus ex roratione rectanguli AB F D circa
BF ad circulosomnes exradiis GFI nempe Colidum rorun.
dum orcum exrocacione lisurx BC. L. cirea eandem BF, quod
demonstrare oporcuit.
P R OP. 43. Y H F O R F At A.
IIdem positis quae in ancecedence;  solidarocunda or:
Lta exrocarione rectanguli ABFD _ AgurA BC P CirCA
BF secentur per rectam B F. plano quod horizonei sIE per-
pendiculare, et lemisolida ex recta BF libreneur: dicomo.
mentum semisolidi A B E B esse ad momentum Cemisolidi
BCE ve omnes cubi ab FFT ad omnes cubOs a G H: AnE semi-
circulorum FFI, OFI, centra cravicaris O, P; manifectum est
momentum semicirculi FFF ad momentum Cemicirculi CHL
eRe in ratione compolica exracione lemicirculi FF ad Cemi-
circulum C FTnempe ex duplicata ratione FF ad C HI Xt CX
rATIONEOFT ad PH SCW FHT ad CHI; _ ideo momeneum lemi-
circuli FHT est ad momeneum semicirculi CH in eriplicaca ra
LIOnC FH ad CFB seu re cubus ab Ets ad cubum a C FI, cum.
que