1nue, but will return to be according to the

240[Figure 240]

Perpendieular. It is manifeſt that the Gen

tre of the Sphære is in the Line F T. And

again, foraſmuch as the Portion of a Sphære

may be greater or leſſer than an Hemiſ

phære, and may alſo be an Hemiſphære, let

the Centre of the Sphære in the Hemiſ

phære be the Point T, & in the leſſer Por

tion the Point P, and in the Greater the

240[Figure 240]

Perpendieular. It is manifeſt that the Gen

tre of the Sphære is in the Line F T. And

again, foraſmuch as the Portion of a Sphære

may be greater or leſſer than an Hemiſ

phære, and may alſo be an Hemiſphære, let

the Centre of the Sphære in the Hemiſ

phære be the Point T, & in the leſſer Por

tion the Point P, and in the Greater the

Point R. And ſpeaking firſt of that greater

Portion which hath its Baſe within the

Liquid, thorow R and L, the Earths Cen

241[Figure 241]

tre, draw the line RL. The Portion that is

above the Liquid, hath its Axis in the Per

pendicular paſſing thorow R; and by

what hath been ſaid before, its Centre of

Gravity ſhall be in the Line N R; let it

be the Point R: But the Centre of Gra

vity of the whole Portion is in the line F

T, betwixt R and F; let it be X: The re

mainder therefore of that Figure, which is

within the Liquid ſhall have its Centre in

the Right Line R X prolonged in the part

242[Figure 242]

towards X, taken ſo, that the part pro

longed may have the ſame Proportion to

X R, that the Gravity of the Portion that

is above the Liquid hath to the Gravity

of the Figure that is within the Liquid.

Let O be the Centre of that ſame Figure:

and thorow O draw the Perpendicular L

O. Now the Gravity of the Portion that

is above the Liquid ſhall preſs according

to the Right Line R L downwards; and

the Gravity of the Figure that is in the

Liquid according to the Right Line O L upwards: There the Figure

ſhall not continue; but the parts of it towards H ſhall move down

wards, and thoſe towards E upwards: &

243[Figure 243]

this ſhall ever be, ſo long as F T is accord

ing to the Perpendicular.

A

COMMANDINE.

The Portion that is above the Liquid

hath its Axis in the Perpendicular paſſing

thorow K.] For draw B C cutting the Line N K in

M; and let N K out the Circumference A B C D in G. In

the ſame manner as before me will demonſtrate, that the Axis

hath its Axis in the Perpendicular paſſing

thorow K.] For draw B C cutting the Line N K in

M; and let N K out the Circumference A B C D in G. In

the ſame manner as before me will demonſtrate, that the Axis