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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 60, page id 834940469:0144
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=144
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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 0.87
# 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.

6a
niam in medio diameeri est cenerum gravieatis lacerum op
policorum; cumqs ipsa trenci superticies conAletur ex omnius
busictis laceribus oppolicis basi cylindrici perpendicularin
buss idcircocransibic eriam recta FR per cenerum grauicatis
Superticiciipsius erunci, hoc supponatur 3: codem modo de
monstracur in IIS ene centrum grauitacis superticiei cruncd
YZMILKZ; cum ereo X medium punctum rectae OP licceneris
ravicaris cocius superticiei cylindricis l a5 per X produca
currecta ; X4 donec rectam HSincerlecet in 4, eric 4 cencrie
oranicaris superkiciei EruNCI YZMLR2: de quia trianoula ZR
3, XII4 Cunc smilia propeer parallelIaS RF, HIS, eAt vEX4 ad
X7 ita XHI ad XR, hoc eHIO 0d05; scd veX 4ad X 3 ica (V
PerkcieS CrUnCI ABDZ YZ ad SUPCTHCIEM ErUNCIYZMLK2; 8C
proinde, ve superticiestrunci ABDZ Y2 ad superticiem erun-
cirZM LK2, ita reciproce lO ad aSquod demonstrandum
CTAE.
CONSEOTARINM.
Tcomponendo tora superkicies cxlindrici ABDML. HK.
LCk ad superticiem erunci inferioris ZZM LKZ veradius
rocationis ISad incerceptam incer centrum gravicarisperin
metritigura ee aremrorationis ciusdemnempeo5.
Demonstrantur quoque haec eodem modo in eruncis inli.
Rencibus linex vel lineis quibuscunque figuram non com-
erchendencibus, si modolinc ad axem.
Duxe praecedentes proposiciones sunc eriam vere in omni
cylindrico, se d intricara eA constructio generali demonstra.
cioniinferuiens, e ideonoctrum incenrum aliomodo euin.
CemUS.
PROP. 3T. ZH FORF D A.
Si sine duae fieura quaecunque circa axes, qua sic rotentur ut axesro
rationis sint fieura vniuscuins que axi normales; ratio vnius son
lidi orsi ex rali rotatione ad aliud solidum ex eadem genitum,
COm.