Beauty is based on three conditions:  Clearness, integrity and due proportion.

Beauty exists in the practical knowledge of the tendencies affected by the form in view of the object for which it is; in view, above all, of the action which it exerts upon the beings with whom it is in relation.  Thus a thing is not only beautiful from the transparency of its aptitudes, it is especially so from the beauty of the acts which its use determines abroad.  This is the reason why beauty is to all creatures an object of appetency, of desire and of love.

Trinity.

There is a mystery full of deep instruction, a mystery whose divine obscurities surpass all the light whose splendors dazzle us by their supernatural clarity, and which, as a great saint once said, radiates splendid beams and floods with the glory of its fires those spirits who are blind with the blindness of holiness.  This mystery, outside of which all is to man dark and incomprehensible, illuminates everything and explains it in the sense that it is the cause, the principle and the end of all things.

This dazzling mystery is the universal criterion of all truth; it is the science of sciences, which is self-defining and whose name is Trinity.

Here we foresee an objection to which we must first reply.  Some will be surprised that a system declared to be infallible should rest upon a mystery; they will ask what a mystery can have to do with a purely didactic question.  Patience!  You shall see that it cannot be otherwise.  Nothing is more evident than light, yet light is a mystery, the most obscure of all mysteries.  Thus light escapes the eye and it does not see that by means of which it sees.  Now, if light is a mystery, why should not mystery be a light?  Let us see first what the church teaches us in regard to this mystery.

God is a word which serves as a pretext for every Utopia, for every illusion and for every human folly.  The Trinity is the express refutation of all these stupidities; it is their remedy, corrective and preservative.  Deprive me of the Trinity and I can no longer understand aught of God.  All becomes dark and obscure to me, and I have no longer a rational motive for hope.

The Trinity, the hypostatical basis of beings and things, is the reflection of the Divine Majesty in its work.  It is, as it were, a reflection upon us of its own light.  The Trinity is our guide in the applied sciences of which it is at once the solution and the enigma.

The Trinity is manifest in the smallest divisions of the Divine work, and is to be regarded as the most fertile means of scientific investigation; for if it is at once the cause, the principle and the end of all science, it is its infallible criterion and we must start from it as an immovable axiom.

Every truth is triangular, and no demonstration responds to its object save in virtue of a triply triple formula.

Theory of Processional Relations; or of the Connection between Principiants and Principiates.