e aboue the Superficies of the Liquor: and yet
neuertheles, they will not sinke vtterly downe, or drowne.+

+3.+

+If any Solide Magnitude beyng Lighter then a Liquor, be let downe
into the same Liquor, it will settle downe, so farre into the same
Liquor, that so great a quantitie of that Liquor, as is the parte of
the Solid Magnitude, settled downe into the same Liquor: is in
Waight, aequall, to the waight of the whole Solid Magnitude.+

+4.+

+Any Solide Magnitude, Lighter then a Liquor, forced downe into the
same Liquor, will moue vpward, with so great a power, by how much,
the Liquor hauyng aequall quantitie to the whole Magnitude, is
heauyer then the same Magnitude.+

+5.+

+Any Solid Magnitude, heauyer then a Liquor, beyng let downe into
the same Liquor, will sinke downe vtterly: And wilbe in that Liquor,
Lighter by so much, as is the waight or heauynes of the Liquor,
hauing bygnes or quantitie, aequall to the Solid Magnitude.+

+6.+

[I. D.
The Cutting of a Sphaere according to any proportion assigned
may by this proposition be done Mechanically by tempering
Liquor to a certayne waight in respect of the waight of the
Sphaere therein Swymming.]

+If any Solide Magnitude, Lighter then a Liquor, be let downe into
the same Liquor, the waight of the same Magnitude, will be, to the
Waight of the Liquor. (Which is aequall in quantitie to the whole
Magnitude,) in that proportion, that the parte, of the Magnitude
settled downe, is to the whole Magnitude.+

By these verities, great Errors may be reformed, in Opinion of the
Naturall Motion of thinges, Light and Heauy. Which errors, are in
Naturall Philosophie (almost) of all men allowed: to much trusting to
Authority: and false Suppositions. As, +Of any two bodyes, the heauyer,
to moue downward faster then the lighter.+

[A common error, noted.]

This error, is not first by me, Noted: but by one _Iohn Baptist de
Benedictis_. The chief of his propositions, is this: which seemeth a
Paradox.

+If there be two bodyes of one forme, and of one kynde, aequall in
quantitie or vnaequall,

[A paradox.]

they will moue by aequall space, in aequall tyme: So that both theyr
mouynges be in ayre, or both in water: or in any one Middle.+

Hereupon, in the feate of +Gunnyng+,

[N. T.]

certaine good discourses (otherwise) may receiue great amendement, and
furderance.