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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 64, page id 834940469:0148
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=148
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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 0.89
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64
fisure ABC ad superticiem Polidi orri exrorarione figure HI
ILcomponitur, exracione perimerri ABC ad perimerrum HL
IL exracione recte D Fad radium rocacionis Figure ABC,
ex ratione radiirorationis figure AB C ad radium rocatio-
nis Figure FTIL, de ex racione radiirorationistisure TIIL ad
rectam KN; Cederes pottreme rationes componume racione
DF adK N; _ isirur racio superticiei solidi orti ex rocatione
Figure ABC circa F.C ad superficiem lolidi orri ex rocatione
FigurE FIIL cirCAMO componicur ex racione perimetri ABC
ad perimeerum FTFL & exrationC incerCCPEE inteE CenEruMm
granicacis perimerri A B C e eius axem rocacionis, nempe
D lad incerceptam incer cenerum granatis perimeeri llIL
de eiusdem axem rocacioniss nempe HEN, quod demonstran-
dum eraE.
Hec quoque locum habene, eodem que modo demonstra
cur in superficiebus rocundis genicis a rocatione lince vel
linearum quarum cunque fisuram non comprehendentium
ec ad axem existentium.
PROP. 33. THL FO RP. M A.
Si sint dua fieura quaecunque, quae roientur circa axes quoscunque,
ratioonius solidi orti extali rotatione ad solidum alterum ex ea
demcenitum, componetur ex directaratione ficurae ad ficuram,
es ex directaratione intercepta inter centrum eravitaris es axem
rotationis unius ficurae ad similem interceptam alterius ficura.
 InE dux ASUIEX qUACUnqUe ABC) NQP, qUa POFENEUE
circarectIs F F, X4; lineque earum contra gravitaris
D, R, C quibus in aResrOcAtIONIS FF, Y4, demiCEANEUE rectX
perpendiculares DC, RL. dicorationem Polidi orti ex Agura
A BC rOEAEA Circa rectaM F F ad lolidum OrtUM CX ABUTA
NOP rocata circa rectam Z 4 componi ex racione ASur_
ABC, ad ASUTAM NOP, _ exrationEDC ad RZ. ParalleIIX
CC.