I Do not think it ſit in this place to paſs over with Silence the

Invention of Archimedes to raiſe Wa er with the Screw, which

is not only marvellous, but miraculous: for we ſhall find that

the Water aſcendeth in the Screw continually deſcending; and in

a given Time, with a given Force doth raiſe an unſpeakable quan-

tity therof. But before we proceed any farther, let us declare the uſe

of the Screw in making Water to riſe: And in the enſuing Figure,

let us conſider the Line I L O P Q

[Figure 26]

R S H being wrapped or twined

about the Collumn M I K H,

which Line you are to ſuppoſe to

be a Chanel thorow which the

Water may run: If we ſhall put

the end I into the Water, making

the Screw to ſtand leaning, ſo as

the point L may be lower than

the firſt I, as the Diagram ſhew-

eth, and ſhall turn it round about

on the two Axes, T and V, the Water ſhall run thorow the Cha-

nel, till that in the end it ſhall diſcharge ſorth at the mouth H.

Now I ſay, that the Water, in its conveyance from the point I to

the point H, doth go all the way deſcending, although the point H

be higher than the point I. Which that it is ſo, we will declare

in this manner. We will deſcribe the Triangle A C B, which is

that of which the Screw H I is generated, in ſuch ſort that the

Chanel of the Screw is repreſented by the Line A C, whoſe

Aſcent and Elevation is determined by the Angle C A B; that is

to ſay, if ſo be, that that Angle ſhall be the third or fourth part of a

Right Angle, then the Elevation of the Chanel A C ſhall be ac-

cording to 1/3, or 1/4 of a Right Angle. And it is manifeſt; that the

Riſe of that ſame Chanel A C will be taken away debaſing the

point C as far as to B: for then the Chanel A C ſhall have no

Elevation. And debaſing the point C a little below B, the Water

will naturally run along the Chanel A C downwards from the

point A towards C. Let us therefore conclude, that the Angle A

being 1/3 of a Right Angle, the Chanel A C ſhall no longer have any

Riſe, debaſing it on the part C for 1/3 of a Right Angle.

Invention of Archimedes to raiſe Wa er with the Screw, which

is not only marvellous, but miraculous: for we ſhall find that

the Water aſcendeth in the Screw continually deſcending; and in

a given Time, with a given Force doth raiſe an unſpeakable quan-

tity therof. But before we proceed any farther, let us declare the uſe

of the Screw in making Water to riſe: And in the enſuing Figure,

let us conſider the Line I L O P Q

[Figure 26]

R S H being wrapped or twined

about the Collumn M I K H,

which Line you are to ſuppoſe to

be a Chanel thorow which the

Water may run: If we ſhall put

the end I into the Water, making

the Screw to ſtand leaning, ſo as

the point L may be lower than

the firſt I, as the Diagram ſhew-

eth, and ſhall turn it round about

on the two Axes, T and V, the Water ſhall run thorow the Cha-

nel, till that in the end it ſhall diſcharge ſorth at the mouth H.

Now I ſay, that the Water, in its conveyance from the point I to

the point H, doth go all the way deſcending, although the point H

be higher than the point I. Which that it is ſo, we will declare

in this manner. We will deſcribe the Triangle A C B, which is

that of which the Screw H I is generated, in ſuch ſort that the

Chanel of the Screw is repreſented by the Line A C, whoſe

Aſcent and Elevation is determined by the Angle C A B; that is

to ſay, if ſo be, that that Angle ſhall be the third or fourth part of a

Right Angle, then the Elevation of the Chanel A C ſhall be ac-

cording to 1/3, or 1/4 of a Right Angle. And it is manifeſt; that the

Riſe of that ſame Chanel A C will be taken away debaſing the

point C as far as to B: for then the Chanel A C ſhall have no

Elevation. And debaſing the point C a little below B, the Water

will naturally run along the Chanel A C downwards from the

point A towards C. Let us therefore conclude, that the Angle A

being 1/3 of a Right Angle, the Chanel A C ſhall no longer have any

Riſe, debaſing it on the part C for 1/3 of a Right Angle.

Theſe things underſtood, let us infold the Triangle about the

Column, and let us make the Screw B A E F G, &c. which if it

ſhall be placed at Right Angles with the end B in the Water, turn-

ing it about, it ſhall not this way draw up the Water, the Chanel

about the Column being elevated, as may be ſeen by the part B A.

Column, and let us make the Screw B A E F G, &c. which if it

ſhall be placed at Right Angles with the end B in the Water, turn-

ing it about, it ſhall not this way draw up the Water, the Chanel

about the Column being elevated, as may be ſeen by the part B A.