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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 77, page id 1047377675:0093
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine
# Lines: 66 recognised, mean confidence 0.73
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

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Norandum in sequentibus nos semper incellisere luper-
liciem portionis lolidirocundi absque planis quibus cermi;
MaEUE.
PROP. 40. THEORF M A.
Pisdem positis qua in antecedente, erit suxerficiei porrionis solidiron
tundicentrum crauitatis idem cum cenrro crauitatis arcus cir-
cularis, in quo circumfertur centrum aequilibrii (uperficiei trum
ei cylindrici inferioris in cylindrici base notatum.
Ildem poliris que in ancecedenre, sic superticiei crunci
 BCAC cenerum equilibrii inbase F. Dico Cuperticiei
porcionis Colidi rocundi cenerum granicatis idem esse cum
cenero gravicaris arcus circularis in quo circumrocatur pu
Ctum E: Sinon sinc eadems inter illa HC differentia recea β; _
concipiatur portioni solidirocundi circum leribi solidum po.
lredrum conseans Cx 2, 4, 8, 16 vel quorcunque (dummodo
numerus sic in progrettione duplaa binario) equalibuseru-
eis inferioribus cxlindrici proxohcirecri seccia plano habe.
ee communem sectionem cum bale rectam BC, de eidem
Porrioni Colidirocundi in seribi aliud polzedrum priori simi-
le3 ita ve cenera orauicatis eorum superficierum discene mi-
nore inceruallo quam B; hoc enim polhibile elt, quoniam ca
lia polredra quo plura habene. latera eo in infinicum eorum
superticies minus inter se discrepane, ita ve eorum disterens
cia minor potis esse quacunque propolira quantitate. Dein.
de per cenerum equilibrii Erecre BC normale ducaturpla-
num FaeieMS CUM trUNCOABC C: communem secrionem eria
Sulum FIF D reccangulum ad F, irem cum porcione solidiron
cundi comunem sectione, Seccore cireuliIVI.D de cum polre
dro circum seripeo portione polrsoniresularis ad sectorem
circum Ccripei, irem cum polredro inseripeo similem porcio.
nem polygoni regularis lectori eidem inscripei. Manifectum
est radium IV ee xqualem rest_ D F: radio ly xqualireAt E