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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 16, page id 1047377675:0032
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=32
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000032.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine
# Lines: 28 recognised, mean confidence 0.80
# 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.

e
ditu
u
qu
ait
28
quancitares magnicudine s pravitace analogas; mixrit;
neum enim R V E 52 D masnicudine dc gravitace analogum
cRrori superkciei cylindrici recti, de mixrilineum RV ZBI
magnieudine ee srarieate analogum es superticiei crunci
inferioris; ec ideo (quod superest) mixrilineum DBXV L
32D analoeum est relictae superticiei rrunci superioris,
quod _c.
Fruius proposicionis diverh lune calus; Ped in omnibus
eodem modoreriticari pores praecedens conclutio.
P A O P. 5. 2 EI P O R F M A.
D rectam A F ducaneur dux evrra AF, AD, ee recta
  AF sc perpendicularis recta LD curras lecans in
punctis F, D, ducanturque rectae GF, C D, currastangenteSo
DicorectaS LO, DC, non ene parallellaS: sine (A heri pO
rect) Parallelaes de ducatur recta ABparaIlela de aequalis re
eta E. D: deinde per puncta B, D ducarur curra congruens
currae AE, simodo punctum a superponatur puncto B et
punctum P puncto D: manifectum elt curram BD sCCAEC CUE-
ram BB, irem e rectam C D parallelam rectae C L FABGCFO
curram AD; acque CD ex suppolitione cangie quoque cur-
uam BD, quod est absurdum, quoniam currx AD, BD, sC
inuI.