First, realize that a line or an angle, for instance, is something more than its mere mathematical outline. It corresponds to some power, force, or principle within the great Anima-Mundi of the mysteries, that are trying to find expression, in their evolutionary journey, in forms. Let us illustrate our meaning. A point or dot is what? Well, externally it is the alpha of all mathematics. It is the first finite manifestation of the spiritual force. Within that dot lies concealed, in embryo, all the future possibilities of the manifesting principle.
This dot or point is a something to begin with, a form externalized, from which all future forms may spring forth, and they may be infinite, both in number and variety. First a primary, simple idea, from which all ideas and thoughts, intricate and complex, have their being.
A point extended is a straight line, scientifically expressed (whereas in real truth there is no such thing as a straight line); that is to say, it is a form increased or multiplied by itself, and therefore, is an extension in space that can be measured, and each extension means a new form, an additional symbol. It has taken on new aspects, new relations, hence contains the second principle of mathematics, so to say; but, besides being points, THEY ARE SYMBOLS. They are principles in Nature as clearly related to each other as the leaf and the stem of plant life.
Each monad, or point in the universe, is the beginning of something; equally so, it is also the termination of its own forces in that particular action, and will remain inert until it becomes acted upon by something else.
A point, then, is a primary, simple idea, a straight line. An angle is the same idea, rendered greater and more complex, and refers to the same forces upon a different plane, and the more we multiply the angles the more complex and far-reaching becomes the symbol and the more numerous and diverse become its planes of action. Here we will introduce an example. A trine represents three forces or angles, and, when united, form a trinity, hence harmony. Its apex (when above) is celestial, therefore represents the male forces of spirit.
A trine reversed also represents the same forces, with its apex in matter, hence it is negative. In these two complex ideas, clearly represented by these symbols, we have ALL matter and spirit; and yet they are but extensions of our point in space, rendered far-reaching and complex, by the position and the number of angles presented.
Let us turn the key once again, and we find that, both spirit and matter possess the same outline in their primal concept, except reversed (polarized).
Let us unite these two trines, and we have a still more potent form; a symbol almost infinitely complex. We have spirit and matter united, or, rather, three rays of force, positive, meeting three rays of force, negative, at a given point. Thus we have six points, also six sides, the ultimate of which is a cube. All are now equal. It is the first force of a crystallization (creation) of matter.
Once again let us turn the key, and we have our two conceptions in a metaphysical sense; the trine with its apex above is as the trine with its apex below, both the same in form, yet vibrating to very different planes, and a very different language is required to read and interpret their meaning aright. The spiritual, or the trine with its apex above, draws its influence from the celestial, and as it condenses and takes on form in the trine of matter, it transmits this same Divine force through its apex, which points below, to matter. The double trine is found upon every plane, obeying the Divine Law of Correspondences.
It is, in this sense, called "Solomon's Seal," because it is the grand hieroglyphic of the Hermetic law: "As it is above, so it is below; as on the Earth, so in the sky."