1D hath the ſame proportion to the Reſiſtance made by the Weight

A, in the point C: as the Diſtance B C hath to the Diſtance C D,

whereby it's clear, that the nearer the Fulciment E ſhall approach

to the Term B, encreaſing the proportion of the Diſtance D C to

the Diſtance C B, the more may one diminiſh the Force in D which

is to raiſe the Weight A. And here it is to be noted, which I ſhall

alſo in its place remember you of, that the benefit drawn from all

Mechanical Inſtruments, is not that which the vulgar Mechanitians

do perſwade us, to wit, ſuch, that there by Nature is overcome, and

in a certain manner deluded, a ſmall Force over-powring a very

great Reſiſtance with help of the Leaver; for we ſhall demonſtrate,

that without the help of the length of the Leaver, the ſame Force,

in the ſame Time, ſhall work the ſame effect. For taking the ſame

Leaver B C D, whoſe reſt or Fulci

ment is in C, let the Diſtance C D

185[Figure 185]

be ſuppoſed, for example, to be

in quintuple proportion to the

Diſtance C B, & the ſaid Leaver to

be moved till it come to I C G: In

the Time that the Force ſhall have

paſſed the Space D I, the Weight

ſhall have been moved from B

to G: and becauſe the Diſtance

D C, was ſuppoſed quintuple to the other C B, it is manifeſt from

the things demonſtrated, that the Weight placed in B may be five

times greater then the moving Force ſuppoſed to be in D: but now,

if on the contrary, we take notice of the ^{*} Way paſſed by

the Force from D unto I, whilſt the Weight is moved from B unto

G, we ſhall find likewiſe the Way D I, to be quintuple to the Space

B G. Moreover if we take the Diſtance C L, equal to the Diſtance

C B, and place the ſame Force that was in D, in the point L, and

in the point B the fifth part onely of the Weight that was put there

at firſt, there is no queſtion, but that the Force in L being now

equal to this Weight in B, and the Diſtances L C and C B being

equall, the ſaid Force ſhall be able, being moved along the Space LM

to transfer the Weight equall to it ſelf, thorow the other equall

Space B G: which five times reiterating this ſame action, ſhall tranſ

port all the parts of the ſaid Weight to the ſame Term G: But

the repeating of the Space L M, is certainly nothing more nor leſſe

then the onely once meaſuring the Space D I, quintuple to the

ſaid L M. Therefore the transferring of the Weight from B to G,

requireth no leſſe Force, nor leſſe Time, nor a ſhorter Way if it

wee placed in D, than it would need if the ſame were applied

in L: And, in ſhort, the benefit that is derived from the length of

the Leaver C D, is no other, ſave the enabling us to move that

A, in the point C: as the Diſtance B C hath to the Diſtance C D,

whereby it's clear, that the nearer the Fulciment E ſhall approach

to the Term B, encreaſing the proportion of the Diſtance D C to

the Diſtance C B, the more may one diminiſh the Force in D which

is to raiſe the Weight A. And here it is to be noted, which I ſhall

alſo in its place remember you of, that the benefit drawn from all

Mechanical Inſtruments, is not that which the vulgar Mechanitians

do perſwade us, to wit, ſuch, that there by Nature is overcome, and

in a certain manner deluded, a ſmall Force over-powring a very

great Reſiſtance with help of the Leaver; for we ſhall demonſtrate,

that without the help of the length of the Leaver, the ſame Force,

in the ſame Time, ſhall work the ſame effect. For taking the ſame

Leaver B C D, whoſe reſt or Fulci

ment is in C, let the Diſtance C D

185[Figure 185]

be ſuppoſed, for example, to be

in quintuple proportion to the

Diſtance C B, & the ſaid Leaver to

be moved till it come to I C G: In

the Time that the Force ſhall have

paſſed the Space D I, the Weight

ſhall have been moved from B

to G: and becauſe the Diſtance

D C, was ſuppoſed quintuple to the other C B, it is manifeſt from

the things demonſtrated, that the Weight placed in B may be five

times greater then the moving Force ſuppoſed to be in D: but now,

if on the contrary, we take notice of the ^{*} Way paſſed by

the Force from D unto I, whilſt the Weight is moved from B unto

G, we ſhall find likewiſe the Way D I, to be quintuple to the Space

B G. Moreover if we take the Diſtance C L, equal to the Diſtance

C B, and place the ſame Force that was in D, in the point L, and

in the point B the fifth part onely of the Weight that was put there

at firſt, there is no queſtion, but that the Force in L being now

equal to this Weight in B, and the Diſtances L C and C B being

equall, the ſaid Force ſhall be able, being moved along the Space LM

to transfer the Weight equall to it ſelf, thorow the other equall

Space B G: which five times reiterating this ſame action, ſhall tranſ

port all the parts of the ſaid Weight to the ſame Term G: But

the repeating of the Space L M, is certainly nothing more nor leſſe

then the onely once meaſuring the Space D I, quintuple to the

ſaid L M. Therefore the transferring of the Weight from B to G,

requireth no leſſe Force, nor leſſe Time, nor a ſhorter Way if it

wee placed in D, than it would need if the ſame were applied

in L: And, in ſhort, the benefit that is derived from the length of

the Leaver C D, is no other, ſave the enabling us to move that