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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 68, page id 1047377675:0084
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=84
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.87
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

e
 icc luperticies lidi rocundi orri ex figura ON D OTX
rocata circaua Z 4 es dupla superficiei Colidi orri ex fi-
sura NP rocara circa eandem Y4; perimerrum quoque
BAC. BLM duplum es perimeeri B A C, e perimerrum
PADOTX PerimCEri a H P Choc es Si figurae se inui-
cem rangane in puncto Tolummodo; quod a le cerise-
rinc in rectalinea, oporcet imaginari aliquam distantiolam
incer fisurarum rniones, ve generalis fiac demonseratio )
cumque dimidia sinc in eadem ratione cum suis duplis, su-
perticies Colidirorundi orti ex Figura AB C rorata circarC-
Ctam F F erie ad superticiem Colidi rocundi orti ex figuraN
OProtara circa rectam Y4 inracione compolita, exratione
Perimeeri ABC ad perimerrum NOP e exratione KHI ad52
(Cu DO ad RL, quod demonArare opOrtuiE.
CONSEOTARIVM.
c
Inerequnur, si cenera grauieatis perimerrorum a ron
 dibus aequalirer distene, superticies (olido-
rum rocundorum exrocacione genitorum este in directara
rione iplorum perimeerorum, quod s ipla perimeera (nE
equalia superticies Colidorum rocundorum ex roracione
genitorum esse in ratione directa interceptorum incer cen
era gronicaris perimerrorum ee rorationis axes, quod li in-
cercepre linc equales de perimerra equalia, superticies (oli
dorum rocundorum semper ese Equules.
C II O L
LL
X dictisere manifectum est inter duas quascunque fi
suraSeres s esse rationes a cribus precedencibus
aellas nemel perimerri ad perimerrum, superticiei
Colidi rorunus ca olacionernius figure geniei ad superti.
eiem Colidi rorundi exrorasione alcerius fisure senici; de