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Updated: May 13, 2025
In resolving an algebraic equation, by what rules do we proceed? By applying at each step to a, b, and x, the proposition that equals added to equals make equals; that equals taken from equals leave equals; and other propositions founded on these two. These are not properties of language, or of signs as such, but of magnitudes, which is as much as to say, of all things.
I didn't read any more, but shoved it back in a hurry and went on out on the porch, comforted in a way, but feeling some more in sympathy with Mrs Johnson than I had before Aunt Bettie and her guest from Washington had interrupted our algebraic demonstration on the man subject. You can't always be sure of the right answer to X in any proposition of life; that is, a woman can't!
Now, no matter how numerous these waves may be, the law holds good that the motion of every particle of the water is the algebraic sum of all the motions imparted to it. If crest coincide with crest and furrow with furrow, the wave is lifted to a double height above its sinus; if furrow coincide with crest, the motions are in opposition and their sum is zero. We have then still water.
It took, however, a good many years and a vast amount of study and writing for Kant to thus simplify. For years he toiled with algebraic formulas and syllogistic theorems before he concluded that the best wisdom of life lies in simplification, not complexity. "What can I do?" resolves itself into, "What must I do?"
Now, multiply all these several alls by forty-nine, and the product will serve for as exaggerated a statement as possible of opium pandering to pleasure; yes, by forty-nine, by seven times seven at the least, that we be not accused of extenuating so fatal an excitement; for it is competent to conceive one's self expanded into any unlimited number of bodies, seven sevens being the algebraic n, and if so, into their huge undefined aggregate; a giant's pains are throes indeed, a giant's pleasures indeed flood over.
Following a sign by which Henriette, after showing me Madeleine, made me look at Jacques drawing geometrical figures and algebraic calculations on a board before the Abbe Dominis, I shivered at the sight of death hidden beneath the roses, and was thankful for the self-deception of his mother.
We may see from this what a fallacy it would be to refer the War of a civilised nation entirely to an intelligent act on the part of the Government, and to imagine it as continually freeing itself more and more from all feeling of passion in such a way that at last the physical masses of combatants would no longer be required; in reality, their mere relations would suffice a kind of algebraic action.
Now, multiply all these several alls by forty-nine, and the product will serve for as exaggerated a statement as possible of opium pandering to pleasure; yes, by forty-nine, by seven times seven at the least, that we be not accused of extenuating so fatal an excitement; for it is competent to conceive one's self expanded into any unlimited number of bodies, seven sevens being the algebraic n, and if so, into their huge undefined aggregate; a giant's pains are throes indeed, a giant's pleasures indeed flood over.
If Denham could have seen how visibly books of algebraic symbols, pages all speckled with dots and dashes and twisted bars, came before her eyes as they trod the Embankment, his secret joy in her attention might have been dispersed.
But when he produced a specimen page of his manuscript, my confidence, like Bob Acre's courage, oozed out at my finger-ends, or rather, all over me, for I broke out into a cold sweat. The first few lines resembled a confused array of algebraic formula. "This is nothing less than appalling," I almost groaned. "It will take me longer to learn than two or three languages." "Oh, no!
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