# 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 60, page id 1047377675:0076
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.88
# 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.

de
niam in e ae eA cenerum gravicatis lacerum op
polcorum; cumq; ipla trenci superticies consetur ex omni
bus iltis laceribus oppolicis basi cxlindrici perpendiculari
bus idcircoeronsibit etiam recta FR percentrum grauieatis
Superhiciei ipliuscrunci, hoc supponatur 3: codem modo de-
monstratur in HIS esse centrum gravicaris superticiei trunci
YZMLK2; cum ersox medium punctum rectae OP licceneru
Erauicaris corius superticici cxlindricis ha3 per X produca-
currecta 3X4 donec rectam HISincerlecet in4, erir 4 cencru
Pravicaris superficiei trunci YZMLK2: & quiatriangula XR
3, XII4, Cunc similia propcer paraIlelIaSRL, HIS, CAVFX4 ad
5 ita XHI ad X R, hoc cA IO ad OS; sed veX 4adX3 ica (1r
perticiestrunci ABDZY2 ad superEciem rruncI YZ MLK2; et
proinde, ve superticies rrunci ABDZT2 ad superkiciem erun-
cirZMLKZ, ica reciproce IO ad05quod demonstrandum
eTac.
CONSEOTARIWM.
Tcomponendorora superticies cxlindrici ABDMLK
 eA 2d superticiem erunci inferioris YZM LK2 veradius
Locacionis ISad incercepcam incer cenerum gravicaris peri.
merritigurae et axem rocacionis cinsdemnempeOS.
Demonctrantur quoque haec eodem modoin eruncis insi.
Rentibus linexe vel lineis quibuscunque figuram non com
prehendencibus, si modosintad aZCm.
Dux praecedences propoliciones lunc eriam vere in omni
Cylindricos sedincricara es constructio generali demonstro.
cieniinteruiens, ec ideonoarum incencum alio modoenim
CemUS.
eROP, 3T. XH EORE M A.
Si sint ana M  quaecunque circa axes, qua sic rotentur ut axesro
tationis sint feurae oniuscuius que axi normales; ratio unius so-
lidi orsi ex tali retatione ad aliud solidum ex eadem genitum
C07.