Full text: Cavalieri, Bonaventura: Geometria indivisibilibvs continvorvm

GEOMETRIÆ figuræ, quæ erunt dictorum ſimilium ſolidorum, & tangentium op
poſitorum, figuræ incidentes, ſint igitur talia duo plana, quorum,
& oppoſitorum planorum tangentium in ſolido, AP, communes ſe-
ctiones, HL, OO, G, & ſolidi, V & , Σ 3, 28, in his autem pla-
nis ſint eorum incidentes figuræ, H {00/ }, Σ 2, iſtæ igitur erunt figuræ
fimiles, & tangentur à dictis communibus ſectionibus, quæ erunt li-
nearum homologarum earundem etiam regulæ, ſint earum inciden,
tes vtcunque inter eaſdem ductæ, LG, 38, & extendantur inter di-
cta oppoſita tangentia vtcunque plana eiſdem æquidiſtantia, altitu-
dines propoſitorum ſolidorum reſpectu dictorum tangentium ſum-
ptas ſimiliter ad eandem partem diuidentia, ſit igitur vnius ductorum
planorum concepta in ſolido, AP, figura, BC, eiuſdem autem, & figuræ, H {00/ }, communis ſectio, OX, quod etiam ſecet incidentem
figuræ, H {00/ }, quæ eſt, LG, in, E; pariter alterius planiconcepta
in ſolido, V & , figura ſit, Π Ω, idem verò planum ſecet figuram, Σ 2,

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