1motion of deſcent, diminiſhed in infinitum by the approach of

the moveable to the firſt ſtate of reſt, which approximation is

augmentable in infinitum. Now let us find the other diminution

of velocity, which likewiſe may proceed to infinity, by the

minution of the gravity of the moveable, and this ſhall be

ſented by drawing other lines from the point A, which contein

angles leſſe than the angle B A E, which would be this line A D,

the which interſecting the parallels K L, H I, F G, in the points

M, N, and O, repreſent unto us the degrees F O, H N, K M,

acquired in the times A F, A H, A K, leſſe than the other

grees F G, H I, K L, acquired in the ſame times; but theſe

latter by a moveable more ponderous, and thoſe other by a

moveable more light. And it is manifeſt, that by the retreat of

the line E A towards A B, contracting the angle E A B (the

which may be done in infinitum, like as the gravity may in

nitum be diminiſhed) the velocity of the cadent moveable may

in like manner be diminiſhed in infinitum, and ſo conſequently

the cauſe that impeded the projection; and therefore my thinks

that the union of theſe two reaſons againſt the projection,

niſhed to infinity, cannot be any impediment to the ſaid

ction. And couching the whole argument in its ſhorteſt terms, we

will ſay, that by contracting the angle E A B, the degrees of

locity L K, I H, G F, are diminiſhed; and moreover by the

treat of the parallels K L, H I, F G, towards the angle A, the

fame degrees are again diminiſhed; and both theſe diminutions

extend to infinity: Therefore the velocity of the motion of

ſcent may very well diminiſh ſo much, (it admitting of a twoſold

diminution in infinitum) as that it may not ſuffice to reſtore the

moveable to the circumference of the wheel, and thereupon may

occaſion the projection to be hindered and wholly obviated.

the moveable to the firſt ſtate of reſt, which approximation is

augmentable in infinitum. Now let us find the other diminution

of velocity, which likewiſe may proceed to infinity, by the

minution of the gravity of the moveable, and this ſhall be

ſented by drawing other lines from the point A, which contein

angles leſſe than the angle B A E, which would be this line A D,

the which interſecting the parallels K L, H I, F G, in the points

M, N, and O, repreſent unto us the degrees F O, H N, K M,

acquired in the times A F, A H, A K, leſſe than the other

grees F G, H I, K L, acquired in the ſame times; but theſe

latter by a moveable more ponderous, and thoſe other by a

moveable more light. And it is manifeſt, that by the retreat of

the line E A towards A B, contracting the angle E A B (the

which may be done in infinitum, like as the gravity may in

nitum be diminiſhed) the velocity of the cadent moveable may

in like manner be diminiſhed in infinitum, and ſo conſequently

the cauſe that impeded the projection; and therefore my thinks

that the union of theſe two reaſons againſt the projection,

niſhed to infinity, cannot be any impediment to the ſaid

ction. And couching the whole argument in its ſhorteſt terms, we

will ſay, that by contracting the angle E A B, the degrees of

locity L K, I H, G F, are diminiſhed; and moreover by the

treat of the parallels K L, H I, F G, towards the angle A, the

fame degrees are again diminiſhed; and both theſe diminutions

extend to infinity: Therefore the velocity of the motion of

ſcent may very well diminiſh ſo much, (it admitting of a twoſold

diminution in infinitum) as that it may not ſuffice to reſtore the

moveable to the circumference of the wheel, and thereupon may

occaſion the projection to be hindered and wholly obviated.

Again on the contrary, to impede the projection, it is

ſary that the ſpaces by which the project is to deſcend for the

reuniting it ſelf to the Wheel, be made ſo ſhort and cloſe

ther, that though the deſcent of the moveable be retarded, yea

more, diminiſhed in infinitum, yet it ſufficeth to reconduct it thither:

and therefore it would be requiſite, that you find out a

on of the ſaid ſpaces, not only produced to infinity, but to ſuch an

infinity, as that it may ſuperate the double infinity that is made in

the diminution of the velocity of the deſcending moveable. But

how can a magnitude be diminiſhed more than another, which

hath a twofold diminution in infinitum? Now let Simplicius

ſerve how hard it is to philoſophate well in nature, without

metry. The degrees of velocity diminiſhed in infinitum, as well

by the diminution of the gravity of the moveable, as by the

proxination to the firſt term of the motion, that is, to the ſtate

ſary that the ſpaces by which the project is to deſcend for the

reuniting it ſelf to the Wheel, be made ſo ſhort and cloſe

ther, that though the deſcent of the moveable be retarded, yea

more, diminiſhed in infinitum, yet it ſufficeth to reconduct it thither:

and therefore it would be requiſite, that you find out a

on of the ſaid ſpaces, not only produced to infinity, but to ſuch an

infinity, as that it may ſuperate the double infinity that is made in

the diminution of the velocity of the deſcending moveable. But

how can a magnitude be diminiſhed more than another, which

hath a twofold diminution in infinitum? Now let Simplicius

ſerve how hard it is to philoſophate well in nature, without

metry. The degrees of velocity diminiſhed in infinitum, as well

by the diminution of the gravity of the moveable, as by the

proxination to the firſt term of the motion, that is, to the ſtate