The enchanting charms of this sublime science reveal only to those who have the courage to go deeply into it.

...as our friend Zach has often noted, in our days those who do the best for astronomy are not the salaried university professors, but so-called dillettanti, physicians, jurists, and so forth.Lamenting the fragmentary time left to a professor has remaining after fulfilling his teaching duties.

I have the vagary of taking a lively interest in mathematical subjects only where I may anticipate ingenious association of ideas and results recommending themselves by elegance or generality.

You have no idea, how much poetry there is in the calculation of a table of logarithms!

Mathematics is the queen of the sciences.

It is always noteworthy that all those who seriously study this science [the theory of numbers] conceive a sort of passion for it.

The higher arithmetic presents us with an inexhaustible store of interesting truths - of truths, too, which are not isolated, but stand in a close internal connection, and between which, as our knowledge increases, we are continually discovering new and sometimes wholly unexpected ties.