# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1047377675:0053
# Permalink to this reading: https://leibnizlegible.com/page/1047377675:0053?run=74
# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 37, page id 1047377675:0053
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=53
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000053.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine
# Lines: 53 recognised, mean confidence 0.75
# 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.

etu
ati
Etd
UPE
I1
eid
ata
EU
n
dis
Dat
C
rC
WI
21
aI
p
Eil
e1
modo probatur SL eNe ad SE VELNHI ad L F. C35 e 47 ad 47
DELTIK adLETR, cum que omnes primae inrer Ce ee omnes cero
eiae incer Pe sineaquales, erie re omnes primae nempe rectan
Culum O7 ad omnes secundas nempe rectilineum OV XB
L7S IEA Omnescertix nempe (CCEOFMLK ad omnes quartas
nempe mixtilineum L. AC FCFK, est aurem re07 ad tiguram
OB78 ica sCCtOTMEK ad asac rectilincum OOVXe2 78 maius
est quam Agura OP 78, _ ideo mixrilineum L. A C F: C HIK
maius es quam a. Deinde ex descripcione Agura OP 78, OR
CH adOP vel O Y adOT in duplicataracione L. M ad L B vel
VEMLN ad BLD, eodemque modo probatur, SZ. adSZVENI.
TIa  CLE, _ 47 ad4GVEFILI ad C,LI, cum que primae inFeF
se e cerria incerse semper sint aequaless erie reomnes prime
nempe 07 ad omnes secundas nempe rectilincum OD TV 32
68 ita Omnes CerEIK nEMpE MI L I ad omnes quarrasnempe
mixeilineum LBDCFCI, se rectilineum OP Y V 3268 minus
eA quam AguraO P 78, _ ideo mixcilineum LBIDC FOIL mi-
nuS es quam a; cuidens isieur est quacuor esle magnieudi.
nes, nempe prima mixtilincum IBDCFOT, sccundi, inuo-
lucaLBR, cerria a quarea mixcilineum LACEOFIK, quarum
maxima de minima lune mistilinea L AC EOTIK, LBDC FCIS
hurum erxo differentia maior erie quam differencia duarum
reliquarum nempe a se innolutae LBK, quod est absurdum,
ponieur enimminor, nulla eroo est differencia incer a ex in-
diolutam BLK, Tunc er 80 aquales, quod demonstrare opor.
enic.
P ROP. 16. Z H F O A E M A.
Omnis ficura evoluta est eiusdem involurae dupla.
cRoura involuea LBK, quae evolura efficiat Rguram OP
B: dico figuram O P 78 duplam esse FGurX L BK: AICA
nonsies Aae cuoiuea OP78 dupla quanticaris a, quae
AnHoluFA LBK quanTITAES S; inscribatuE inuOIUEI
L. BK
diEExAE