1. Every body is surrounded by an outermost surface.

2. Every surface is full of infinite points.

3. Every point makes a ray.

4. The ray is composed of infinite and diverging lines.

6. At every point along the length of any line whatever, lines departing from points on the surface of bodies intersect, and they form a pyramid.

7. Every line occupies the whole of the point where it is born.

8. At the apex of every pyramid there intersect lines departing from the whole and from the parts of bodies, so that from that apex one can see both the whole and the parts.

9. The air that lies between bodies is full of the intersections made by the radiating likenesses of those bodies.

10. The likenesses of the figures and colours of each body are transferred from one to another by pyramid.

11. Every body fills the surrounding air, by means of these rays, with infinite likenesses of itself.

5. The likeness of each point is present throughout the whole and through each part of the line caused by that point.

6. Each point of the one object is, by likeness, capable of the entire base of the other.

7. Every body becomes the base of innumerable and infinite pyramids.

8. That pyramid which is born amid more equal angles will give a truer likeness of the body from which it springs.

9. One and the same base becomes the cause of innumerable and infinite pyramids, turned in various convergences and of various lengths.

10. The apex of every pyramid holds within itself the entire likeness of its base.

The central line of the pyramids is full of infinite apices of other pyramids.

One pyramid passes through another without confusion of either.

The quality of the base is present in every part of the length of the pyramid.

That apex of the pyramid which includes within itself all those that are born upon the same angles will show the body from which it departs less than any other enclosed within it.

The pyramid of the more slender apex will show less the true form and quality of the body where it is born.

That pyramid will be the more slender whose base angles are more unequal to one another.

That pyramid which is the shorter will transform with greater variety the like and equal parts of its base.

Upon the same quality of angles infinite lengths of pyramid will be born.

The pyramid of the thicker apex, more than any other, will tinge the place it strikes with the colour of the body from which it derives.