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This philosopher first applied the algebraic analysis to the solution of geometrical problems; and in this brilliant discovery lay the germ of a sudden growth of interest in the pure mathematics.
"Distances here are computed by what may be called Long Measure. League is a vague term, and, like x in an algebraic equation, stands for an unknown quantity. It may mean ten miles, more or less, any distance, in fact, over five miles. As regards spirituous liquors, a trago of brandy, or 'a drink, is whatever may be in the bottle, be the same large or small, and the quantity more or less."
But that the public may be in a position to decide we shall examine somewhat more closely the example cited by Marx in his note. Here we have, for example, the homologous series of compounds of carbon of which many are known and each has its own algebraic formula.
If he disappoints you, he'll be simply a theory gone wrong. You'll cut him out of your life as if he were an algebraic equation and never think of him again." "But he's not going wrong, Vance. Because, in ten days, he'll be twenty- five! And that's what all these changes mean.
When these two talked without apparent heat it was with unalterable fixedness of purpose. They were of a common race. The duke was determined that she should wed Doppelkinn; she was equally determined that she should not. The gentleman with the algebraic bump may figure this out to suit himself. "Have you no pity?" "My reason overshadows it.
It is a floating literary symbol, with a value which, if we define it scientifically, becomes quite algebraic. As no experienced object corresponds to it, it is without fixed indicative force, and admits any sense which its context in any mind may happen to give it. In the first sentence of Genesis its meaning, we may safely say, is "a masculine being by whom heaven and earth were created."
They did not understand algebra, by the application of which to geometry modern mathematicians have climbed to greater heights than the ancients; but then it is all the more remarkable that without the aid of algebraic analysis they were able to solve such difficult problems as occupied the minds of Archimedes and Apollonius.
You understand that the faster it goes the more resistance it meets with from the air." "That I admit," answered Michel; "and I understand it, although your x's and zero's, and algebraic formula, are rattling in my head like nails in a bag."
"If, to use an algebraic illustration, we represent Matter, Motion, and Force, by the symbols x, y, z; then we may ascertain the values of x and y in terms of z, but the value of z can never be found; z is the unknown quantity, which must forever remain unknown, for the obvious reason that there is nothing in which its value can be expressed." We have, then, no God but Force.
If so, Pere Anselme must be an unbeliever; for when I was admitted to his room I found him standing before a blackboard with a bit of chalk in his hand, busy with a problem which was, no doubt, knotty, for the board was three-parts covered with algebraic signs; and I must add that he did not seem to care for the scandal this ought to cause, for he had with him an individual whom I am not allowed to name, a younger man of science, of great promise, who was sharing his profane occupation."
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