Mathematics, such as appertain to painting, are necessary to the painter, also the absence of companions who are alien to his studies: his brain must be versatile and susceptible to the variety of objects which it encounters, and free from distracting cares.

No human investigation can be called real science if it cannot be demonstrated mathematically.

A bird is an instrument working according to mathematical law, which instrument it is within the capacity of man to reproduce with all its movements, but not with a corresponding degree of strength, though it is deficient only in the power of maintaining equilibrium. We may therefore say that such an instrument constructed by man is lacking in nothing except the life of the bird, and this life must needs be supplied from that of man.

When one side only of a story is heard and often repeated, the human mind becomes impressed with it insensibly.

That the secret Mover of this Scheme (whoever he may be) intended to take advantage of the passions, while they were warmed by the recollection of past distresses, without giving time for cool, deliberative thinking, & that composure of Mind which is so necessary to give dignity & stability to measures, is rendered too obvious, by the mode of conducting the business, to need other proof than a reference to the proceeding.

We have abundant reason to rejoice, that, in this land, the light of truth and reason has triumphed over the power of bigotry and superstition, and that every person may here worship God according to the dictates of his own heart. In this enlightened age, & in this land of equal liberty, it is our boast, that a man's religious tenets will not forfeit the protection of the laws, nor deprive him of the right of attaining & holding the highest offices that are known in the United States.