A pyramidal body is one in which all the lines drawn from the angles of its base converge at a point. And such a body can be clothed with infinite angles and sides.

A wedge (cuneal) body is one whose lines drawn from the angles of its base do not converge at a single point, but at the two points that terminate the line; and this must neither exceed nor fall short.

If from the right angle the mover departs along the line of equality, and at the same instant the moving body departs along the direct line.

If from the right angle depart the cloud and the hail that descends from it, up along the two lines that contain that angle.

If from the right angle two moving bodies depart following the sides that contain that angle.

If two moving bodies at the same instant divide from the right angle, following their courses along the sides that contain the angle, and follow their motions along the lines of those sides that contain the right angle.

If from the right angle at the same instant two moving bodies depart.

Never will there be a motion of so slow a persistence that within the time of its motion one could imagine any ...

Never will there be a motion of such great slowness that in it an instant of rest be found.

That motion is slower which in the same time acquires less space.

And that motion is faster which in the same time acquires more space.

Motion can proceed through infinite slowness.

It is within the power of motion to be able to extend into infinite slowness, and likewise infinite speed.

Motion has the power to extend itself into infinite speed.

Every quantity of a line is terminated by points, and every part of time is terminated between two instants.

The instant lies within time, and is indivisible. The point lies in the line, and has no part. The moment lies in matter, and is never divided into any part.

It is within the power of motion to pass a same space with infinite slowness, but not with infinite speed, because the medium does not allow it.

The instant is time, but it is indivisible. The point has no part and is the beginning and end of any line.

The point has no part, and is contained in continuous quantity. The instant is indivisible and resides in time.

The instant has no time.

The point has no part.

The angle is the concurrence of two lines at a single point.

A line is the transit made by the motion of the point, and its termini are equal to that point.

The instant has no time; time is the motion made from the instant, and its termini are the aforesaid instants.

The point has no part, and every quantity of a line is terminated at points.

The instant is indivisible, and every distance of time is terminated in those instants.

The point has no part, and this is contained in continuous quantity.

The point has no part in continuous quantity, and the instant in time is indivisible.

Although time is contained in continuous quantity, it cannot be composed by any figure, being imagined incorporeal; nonetheless one can proportion together the spaces of its divisible length.

The point has no part. The line is terminated at 2 points. The angle is the concurrence of 2 lines at a single point. And the instant has no time.

Although time is numbered among continuous quantities, being incorporeal it has no power to be divided into various geometric figures as other corporeal quantities are, and it accompanies geometry in only 3 things, that is in point, in line and in proportions. The point in time is called the instant, and just as the line in geometry is terminated by two points, so a space of time is terminated by two instants.

Being invisible and incorporeal, it does not fall wholly under geometric power, which divides it into an infinite variety of figures, as is seen to be done with visible and corporeal things; but it agrees with geometry only in its first principles, that is the point and the line. And this point in time is to be equated with the instant; and the line that is terminated by two points will be equal to a space of time terminated between two instants. And the continuous quantity of the line is divisible to infinity; so a span of time can be divided infinitely. And if the divided parts of the line fall under the power of proportion, the like you will find in the divided parts of that span of time. As for proportions .....

For ingratitude.

When the sun appears that drives away the darkness for all in general, you put out the light that had driven it away for you in particular, for your need and comfort.