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For this is a strictly measurable effect of gravitational disturbance by the various planets, the amount of which naturally depends upon the course pursued by the disturbed bodies. Here the great

**mathematical**resources of Professor Adams were brought to bear.
In the academic world, we do not cast a man out of his

**mathematical**chair because he can also work in astro-physics or in psycho-physics. If he can pursue advanced research in an allied or applied field, it will help him in his regular and prescribed work.
It has been seen that there are

**mathematical**proportions in the relative distances and revolutions of the planets of our system. It has also been suggested that the periods in the condensation of the nebulous mass, at which rings were disengaged, must have depended on some particular crises in the condition of that mass, in connexion with the laws of centrifugal force and attraction.
In 1814 Carlyle completed his course without taking a degree, did some tutorial work, and, in the same year, accepted the post of

**Mathematical**Usher at Annan as successor to Irving, who had been translated to Haddington.
It amounts therefore to a

**mathematical**demonstration, that nearly one-half of Mr. Seymour's vote was fraudulent; and of that fact concealment is no longer attempted from any respectable source. It has been matter of surprise to the cotemporaries of Mr.
The experts discoursed at some length in esoteric terms one even bringing a portable blackboard on which he demonstrated, with diagrams, the chemical, geologic and

**mathematical**aspects of the problem but no pertinent information was forthcoming till some minor clerk in the Department of Water and Power, who had only got to the stand through a confusion of names, said boldly, "No effect whatever."
Since their time, however, there has been a large increase of knowledge in this branch. The discovery of the planet Neptune by Galle, as the result of

**mathematical**calculations of Leverrier, which were made independently also by Adams, was hailed as a signal proof of scientific progress; and, recently, the discovery of a fifth satellite of Jupiter.**Mathematical**learning has given to Cardan his surest title to immortality, and at the outset of his career he found in mathematics rather than in medicine the first support in the arduous battle he had to wage with fortune. His appointment to the Plat lectureship at Milan has already been noted.

But I cannot help thinking that it is an illusion to suppose that such methods can justify the assertion that the science as a whole is "

**mathematical**". Nothing, indeed, is easier than to speak as if you had got a**mathematical**theory.
If mastery of dead languages is not an indispensable part of polite education,

**mathematical**learning is still less so. Excessive requirements in that department have not even the excuse of intellectual discipline. More important than mathematics to the general scholar is the knowledge of history, in which American scholars are so commonly deficient.