1Rectangle F H deſcribeth whilſt it draweth the Weight D along

the Plane B A, by the means of a Chord parallel to this Plane, and

paſſing about the Pulley E, in ſuch ſort, that H G, that is the height

of this Rectangle, is equal to B A, along which the Weight D is to

move, whilſt it mounteth to the height of the Line C A. And N O

repreſents the firſt Dimenſion of ſuch another Force, that is de

ſcribed by the Rectan

gle N P, in the time that

220[Figure 220]

it is raiſing the Weight

L to M. And I ſuppoſe

that L M is equal to B A,

or double to C A; and

that N O is to F G, as

O P is to G H. This

done, I conſider that at

ſuch time as the Weight

D is moved from B to

wards A, one may ima

gine its Motion to be

compoſed of two others, of which the one carrieth it from B R to

wards C A, (to which operation there is no Force required, as all

thoſe ſuppoſe who treat of the Mechanicks) and the other raiſeth

it from B C towards R A, for which alone the Force is required:

inſomuch that it needs neither more nor leſs Force to move it

along the Inclined Plane B A, than along the Perpendicular C A.

For I ſuppoſe that the unevenneſſes, &c. of the Plane do not

at all hinder it, like as it is alwaies ſuppoſed in treating of this

matter.

the Plane B A, by the means of a Chord parallel to this Plane, and

paſſing about the Pulley E, in ſuch ſort, that H G, that is the height

of this Rectangle, is equal to B A, along which the Weight D is to

move, whilſt it mounteth to the height of the Line C A. And N O

repreſents the firſt Dimenſion of ſuch another Force, that is de

ſcribed by the Rectan

gle N P, in the time that

220[Figure 220]

it is raiſing the Weight

L to M. And I ſuppoſe

that L M is equal to B A,

or double to C A; and

that N O is to F G, as

O P is to G H. This

done, I conſider that at

ſuch time as the Weight

D is moved from B to

wards A, one may ima

gine its Motion to be

compoſed of two others, of which the one carrieth it from B R to

wards C A, (to which operation there is no Force required, as all

thoſe ſuppoſe who treat of the Mechanicks) and the other raiſeth

it from B C towards R A, for which alone the Force is required:

inſomuch that it needs neither more nor leſs Force to move it

along the Inclined Plane B A, than along the Perpendicular C A.

For I ſuppoſe that the unevenneſſes, &c. of the Plane do not

at all hinder it, like as it is alwaies ſuppoſed in treating of this

matter.

So then the whole Force F H is employed only about the raiſing

of D to the height of C A: and foraſmuch as it is exactly equal to

the Force N P, that is required for the raiſing of L to the Height

of L M, double to C A, I conclude by my Principle that the

Weight D is double to the Weight L. For in regard that it is

neceſſary to employ as much Force for the one as for the other,

there is as much to be raiſed in the one as in the other; and no

more knowledge is required than to count unto two for the

knowing that it is alike facile to raiſe 200 pounds from C to A,

as to raiſe 100 pounds from L to M: ſince that L M is double

to C A.

of D to the height of C A: and foraſmuch as it is exactly equal to

the Force N P, that is required for the raiſing of L to the Height

of L M, double to C A, I conclude by my Principle that the

Weight D is double to the Weight L. For in regard that it is

neceſſary to employ as much Force for the one as for the other,

there is as much to be raiſed in the one as in the other; and no

more knowledge is required than to count unto two for the

knowing that it is alike facile to raiſe 200 pounds from C to A,

as to raiſe 100 pounds from L to M: ſince that L M is double

to C A.

You tell me, moreover, that I ought more particularly to ex

plain the nature of the Spiral Line that repreſenteth the Plane

equally enclined, which hath many qualities that render it ſuffi

ciently knowable.

plain the nature of the Spiral Line that repreſenteth the Plane

equally enclined, which hath many qualities that render it ſuffi

ciently knowable.