Water falls along any line from the summit of the wave to its base.

And that fall will be of swifter impetus which is less oblique, and the more oblique will be the slower.

And the rebounded foam breaks more where it meets a more resistant obstacle.

The heavier body keeps more to its rigor.

No heavy body moves of itself unless it descends. The motion of every heavy body is toward the centre, and that is faster which has greater weight. Therefore the lighter weight will be slower, though it will still be faster which ...

No heavy body moves of itself unless it declines.

The heavy body descends more easily where it has less resistance.

The descent made by a heavy body through lateral resistances that are equal will always be direct.

The heavy body removes itself from the light as much as it can.

Direct is any line that extends toward the centre.

Every action made by nature cannot be done by a briefer means with the same instruments.

Given the causes, nature brings forth its effects by the briefest means that can be.

The weight descends for want of resistance, and the resistance that is weak yields it place the sooner.

The heavy body without support descends downward by the briefest way, and nothing is lower than the centre of the world; therefore there it will come to rest.

A heavy body will move outside a curved line, many times around the centre.

Why does the weight n not fall by the way n a as by the line n m.

Mechanical elements.

Those weights that in the balance resist one another mutually have the fastenings of their pendants equally distant from the centre of the world.

Therefore the fastenings of such pendants are equidistant from the centre of the world, and their weights resist one another equally.

When the weights in the balance resist one another equally, the angles made by the junction of the pendants are equal.

The power of every suspended gravity is entire through all the parts of the balance (¹.

The weight b is nearer the centre of the world than the weight a, whence here the balance will not stay still in the position figured.

That thing is higher which is more remote from the centre of the world.

The angles that enclose the pendant of the pole of the balance are never equal, unless the weights suspended from that balance are equal.

Unequal weights will not hold the pendant of their balance between equal angles.

The more dissimilar the weights that resist one another in the arms of the balance, the more dissimilar will be the angles enclosing the pendant of that balance, and so conversely.

Here, by the 4th, a is as much higher than b as b c enters into a d. And by the 3rd it is impossible that with weights of equal resistance the beam of the balance should remain in such a position.

It is in the power of things that the motion of the heavy body is made briefer the less direct it is, and longer the less oblique it is.

The power of the suspended weight is entire throughout its whole pendant, and entire at every point of its length. Therefore by this we shall say that the power of a weight suspended from the cords of the balance is entire at the fastening of that cord with the arm of the balance; and because it is sustained there, the gravity terminates there, and there we shall have the arms with weights of equal resistance terminate their greatest heights.

Because at every part of the length of a support the whole cord from that part downward is sustained, together with the weight attached to it.

And so successively at every degree of height the whole cord found beneath it is sustained, together with the weight attached to it.

The moving body will stop where the central line of the world cuts the line of the motion between two right angles.

The moving body will stop upon the incline where that incline is cut by the central line of the weight between two right angles.

The moving body will stop upon the incline where its central line looks toward the centre of the world, cutting the line of its motion between two right angles.

Let there be imagined, made in the sphere of air, many straight lines that with various obliquities, departing from a single point, pass through that sphere to the opposite side. I say that line will be the shorter which is the more oblique, and that will be the more oblique which is more remote from the centre of the world; and because the moving bodies do not stop except at the middle of such lines, and of that line the half will be shorter which has the whole shorter, and among all there is none shorter than the most oblique. Therefore it is concluded that in the most oblique line the motion of the heavy body is made briefest.

No line is longer than the direct one, because it passes to the centre and becomes its diameter; and none is briefer than that in which the most oblique terminates, because such a site cannot be divided into parts, and from it no body takes motion.

If you wish to make foreshortened letters, stretch the paper on a frame and draw, and then cut out such letters, and make the sun's rays pass through such openings onto another stretched paper, and then remake the missing angles.