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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 64, page id 1047377675:0080
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64
Figure ABC ad superticiem solidi orti exrocarione figure HI
IL. componitur ex rarione perimerri ABC ad perimerrum HI
IL exratione recte D Fad radium rorarionis FisurE ABC,
ex rarione radiiroracionis figure ABC ad radium rocario-
nis Fioure FIIL, ee ex racione radiirocationisfigure HIIL ad
rectam KN; Pederes postreme rationes componune ratione
DF adK N; _ igicurracio superficiei solidi orri exrotatione
Figure ABC circa F. C ad superficiem lolidi orri ex rocarione
Fioure FTIL CirCAMO componitur ex rarione perimerri ABC
ad perimerrum HIIL _ exracione incercePEE inter cenerum
pravicaris perimeeri AB C d eius axem roracionis, nempe
DF ad incerceptam incer cenerum granicaris perimeeri HITL
ee eiusdem axem rocacionis nempe KH, quod demonstran.
dum exaE.
Hec quoque locum habene, eodemque modo demonstrz:
cur in superticiebus rocundis geniris a rocacione linee vel
linearum quarum cunque fisuram non comprehendencium
e ad axem exiltencium.
PROP. 33. YH EOR P M A.
Si sint duae sieura quaecunque, quae rotentur circa axes quoscunque,
ratio onius solidi orri extali rotatione ad (olidum alterum ex ea
demcenirum, componetur ex directaratione ficurae ad Rcuram;
es ex directaratione interceptae inter centrum eravitaris ex axem
rotationis unius ficura ad similem interceptam alterius ficura.
O TnC dux AGUITX QUIRCUNgUE ABC, NQ P, GUX FOTeNEUX
circarectas F F, X4: lineque carum contra gravicacis
D,R, C quibus in axesrocationis FF, Z4 demittantur rectae
perpendiculares DC, RZ. dicorationem solidi orti ex houra
ABC rocata circa rectam P. F ad lolidum orrum ex Aguri
N AP rocacacirca rectam Y4 componi ex ratione AgUIFR
ABC, ad Aguram NOP, e exratione DC adRL. ParaIIeIIX
ec