12.

byp
14. 5.

a

d

e

And fuppofe the Sphere G to be Concentrical 17. 12. with the Sphere EDF. Infcribe a Polyhedron in the Sphere EDF, not touching the Sphere G, and a fimilar Polyhedron in the Sphere BAC. cor. 17. Thefe Polyhedrons are in the triplicate Proportion of the Diameters BC, EF, that is of the Sphere BAC to G. And confequently the Sphere G is greater than the Polyhedron infcrib'd within the Sphere EDF; the Part to the Whole. Again, if poffible, let the Sphere GEDF. And fuppofe as the Sphere EDF to fome other Sphere H, fo is G to BAC. That is, in the triplicate Proportion of the Diameters EF to BC; therefore fince BACH, we fall into the Abfurdity of the former part, and fo the Sphere G=EDF. Q. E. D.

byp. In

vers.

£ 14. 5.

CORO L.

Hence, as one Sphere to another, fo is a Polyhedron defcribed in the one, to a fimilar Polyhedron defcribed in the other.

FINIS.

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