1compoſition of the two motions do go alwayes receding with

greater and greater proportion from the circumference of that

cle, which the centre of the ſtones gravity would have deſigned,

if it had alwayes ſtaid upon the Tower; it followeth of neceſſity

that this receſſion at the firſt be but little, yea very ſinall, yea,

more, as ſmall as can be imagined, ſeeing that the deſcending

grave body departing from reſt, that is, from the privation of

motion, towards the bottom and entring into the right motion

downwards, it muſt needs paſſe through all the degrees of

ty, that are betwixt reſt, and any aſſigned velocity; the which

degrees are infinite; as already hath been at large diſcourſed and

proved.

greater and greater proportion from the circumference of that

cle, which the centre of the ſtones gravity would have deſigned,

if it had alwayes ſtaid upon the Tower; it followeth of neceſſity

that this receſſion at the firſt be but little, yea very ſinall, yea,

more, as ſmall as can be imagined, ſeeing that the deſcending

grave body departing from reſt, that is, from the privation of

motion, towards the bottom and entring into the right motion

downwards, it muſt needs paſſe through all the degrees of

ty, that are betwixt reſt, and any aſſigned velocity; the which

degrees are infinite; as already hath been at large diſcourſed and

proved.

It being ſuppoſed therefore, that the progreſſe of the

ration being after this manner, and it being moreover true, that

the deſcending grave body goeth to terminate in the centre of the

Earth, it is neceſſary that the line of its mixt motion be ſuch, that

it go continually receding with greater and greater proportion

from the top of the Tower, or to ſpeak more properly, from

the circumference of the circle deſcribed by the top of the Tower,

by means of the Earths converſion; but that ſuch receſſions be

leſſer and leſſer in infinitum; by how much the moveable finds it

ſelf to be leſſe and leſſe removed from the firſt term where it

reſted. Moreover it is neceſſary, that this line of the

ed motion do go to terminate in the centre of the Earth. Now

having preſuppoſed theſe two things, I come to deſcribe about

the centre A [in Fig. 1. of this ſecond Dialogue;] with the ſemi

diameter A B, the circle B I, repreſenting to me the Terreſtrial

Globe, and prolonging the ſemidiameter A B to C, I have

ſcribed the height of the Tower B C; the which being carried

about by the Earth along the circumference B I, deſcribeth with

its top the arch C D: Dividing, in the next place, the line C A

in the middle at E; upon the centre E, at the diſtance E C, I

ſcribe the ſemicircle C I A: In which, I now affirm, that it is very

probable that a ſtone falling from the top of the Tower C, doth

move, with a motion mixt of the circular, which is in common,

and of its peculiar right motion. If therefore in the circumference

C D, certain equal parts C F, F G, G H, H L, be marked, and

from the points F, G, H, L, right lines be drawn towards the

centre A, the parts of them intercepted between the two

cumferences C D and B I, ſhall repreſent unto us the ſame

Tower C B, tranſported by the Terreſtrial Globe towards D I;

in which lines the points where they come to be interſected by the

arch of the ſemicircle C I, are the places by whichfrom time to

time the falling ſtone doth paſſe; which points go continually

with greater and greater proportion receding from the top of the

ration being after this manner, and it being moreover true, that

the deſcending grave body goeth to terminate in the centre of the

Earth, it is neceſſary that the line of its mixt motion be ſuch, that

it go continually receding with greater and greater proportion

from the top of the Tower, or to ſpeak more properly, from

the circumference of the circle deſcribed by the top of the Tower,

by means of the Earths converſion; but that ſuch receſſions be

leſſer and leſſer in infinitum; by how much the moveable finds it

ſelf to be leſſe and leſſe removed from the firſt term where it

reſted. Moreover it is neceſſary, that this line of the

ed motion do go to terminate in the centre of the Earth. Now

having preſuppoſed theſe two things, I come to deſcribe about

the centre A [in Fig. 1. of this ſecond Dialogue;] with the ſemi

diameter A B, the circle B I, repreſenting to me the Terreſtrial

Globe, and prolonging the ſemidiameter A B to C, I have

ſcribed the height of the Tower B C; the which being carried

about by the Earth along the circumference B I, deſcribeth with

its top the arch C D: Dividing, in the next place, the line C A

in the middle at E; upon the centre E, at the diſtance E C, I

ſcribe the ſemicircle C I A: In which, I now affirm, that it is very

probable that a ſtone falling from the top of the Tower C, doth

move, with a motion mixt of the circular, which is in common,

and of its peculiar right motion. If therefore in the circumference

C D, certain equal parts C F, F G, G H, H L, be marked, and

from the points F, G, H, L, right lines be drawn towards the

centre A, the parts of them intercepted between the two

cumferences C D and B I, ſhall repreſent unto us the ſame

Tower C B, tranſported by the Terreſtrial Globe towards D I;

in which lines the points where they come to be interſected by the

arch of the ſemicircle C I, are the places by whichfrom time to

time the falling ſtone doth paſſe; which points go continually

with greater and greater proportion receding from the top of the