# 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 80, page id 1047377675:0096
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=96
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000096.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 24 lines, status machine
# Lines: 24 recognised, mean confidence 0.85
# 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.

P AO P. 42, Y _ B O R F M A.
Si cylinaricus rectus secetur plano quocunque ex roceturbasis cylin-
drici circa communem intersectionem baseose plani secantis. V
fat solidi rocundi porrio qualibet; erit portionis centrum eravi
ratis idem cum centro eranitatis arcus circularis, in quo circum-
fertur centrum aquilibri erunci cylindrici inferioris in cylindrio
ci base notatum.
Oncipiarur cylindricus rectus super base quacunque
RECD lectus a plano habenre cum base communem
incerfectionem AB rectam: sc que crunci inferioris cenerum
Equilibrii in basenocacum punctum F. exroratione Rgure RF
CD circa rectam AB hat portio Colidirocundi; cuius cenrris
gravitatis dico idem ene cum cenero grauiearis arcus circu,
laris in quo circumtertur punctum F. iungantur ad libirum
linea C. H. KB apponacurque crlindricus rectus superbale
AC DKB sCcari eriam a praedicto plano lebae pet sectam
AB, _ eius cruncr inferioris cenerum aequilibrii in base eAe
punctum H, icem erunci super fgura AC. LKB cenerum xqui
dibrii
eni
BuI
Est C
W
1