It is impossible that a large body of water should push a thin body of water higher than itself, when they are joined in one and the same pipe.

It is impossible that the greater water, joined with the lesser in one and the same pipe, can raise that lesser water higher than itself.

The quantity of water that is raised is as much thinner than that which raises it as it has greater motion than that which moves it.

The proportion of the motions and that of their thicknesses is one and the same; but it is inverse, that is, the greater has the lesser thickness, and the lesser has the greater thickness.

No weight of water that pushes another water upward through a pipe will raise water of a thinner pipe higher than itself.

The descent of no quantity of water will raise water higher than itself, which is joined with it in the same conduit.

The water that rises has as much motion as that which pushes it; but they are contrary motions.

The motion of the water that rises bears such proportion to the motion of the water that pushes it as that of their thicknesses; but it is inverse.

The water that descends will never raise water joined to it in the same conduit higher than itself, even though their thicknesses were of immense variety.

Definition of the balance.

Real appendages on potential arms.

The straightness of the potential appendages is always at a right angle to the real arms of the balance, and the potential arms are at a right angle to the real appendages of that balance.

Never naturally will the real appendages and real arms be found in the balance at one and the same time; but if you wish to calculate the real arms with the weights sustained by the appendages, then necessity compels you to use the potential appendages; and if you wish to calculate with the real appendages, then you need the potential arms.

The breaking-up that water makes of itself as it descends through the air arises from the inequality of the motion of its whole, in which the natural tenacity of the water is overcome by the power of the acquired weight.

The varieties that the motion of a liquid has in itself are derived from the various obliquities that the surfaces of its sides have.

The water b o n will remain, once the water f n b has been drawn off, the obliquity of the water that flows into the channel s n being equal to the obliquity of the water that pours out n g. And this happens because, at equal obliquity L b, n g, being of equal widths, of necessity equal water passes through in equal time.

When of the two motions of two wheels the one is against the other from the upper parts, then they will go wearing one against the other, with useful wearing, because they always draw together, and the concavities of the notches wear as much as the points of the teeth; but the teeth always grow thinner and the notches grow wider.

But when the teeth of the lower parts are the one against the other, then the wheels will always go drawing apart from one another with useless wearing, because the teeth themselves will wear their points.