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Updated: June 22, 2025
This, therefore, is the problem: What thickness ought an iron obus to have in order to weigh only 20,000 lbs.? Our clever calculator, Mr. Maston, will tell us at once." "Nothing is easier," replied the honourable secretary. So saying, he traced some algebraical signs on the paper, amongst which n^2 and x^2 frequently appeared. He even seemed to extract from them a certain cubic root, and said
Eleanor declared that it would be splendid not to be behind their classes when they returned to school that fall. To-night, however, it was quite impossible to take a proper interest in algebraical problems, when each member of the little group had such a serious individual problem staring her in the face.
Some scattered papers, in the handwriting of Maltravers, fell from one of the volumes. Of these, a few were but algebraical calculations, or short scientific suggestions, the value of which Mr.
I had scarcely time to put down the wretched documents before my uncle was by my side. He was profoundly absorbed. His thoughts were evidently bent on the terrible parchment. Some new combination had probably struck him while taking his walk. He seated himself in his armchair, and with a pen began to make an algebraical calculation. I watched him with anxious eyes.
In demonstrating an algebraical theorem, or in resolving an equation, we travel from the datum to the quæsitum by pure ratiocination; in which the only premises introduced, besides the original hypotheses, are the fundamental axioms already mentioned—that things equal to the same thing are equal to one another, and that the sums of equal things are equal.
At the head of the stairs she encountered Fanny, looking satirical. She reprimanded her. Kiss me, darling. I am a happy girl." And she curled round Fanny, and panted on her shoulder. Miss Artful, known unto men as Fanny Dover, had already traced out in her own mind a line of conduct, which the above reprimand, minus the above kisses, taken at their joint algebraical value, did not disturb.
He is acquainted with the abstract idea of space by the help of his geometrical figures; he is acquainted with the abstract idea of quantity by the help of his algebraical symbols. These figures and signs are the supports on which these ideas may be said to rest, the supports on which his senses repose.
"There is a comfortable sense of decency and order about the way we fight nowadays," said Colonel Kemp. "It is like working out a problem in electrical resistance by a nice convenient algebraical formula. Very different from the state of things last year, when we stuck it out by employing rule of thumb and hanging on by our eyebrows."
"And now," continued Barbicane, "a slip of paper and a bit of pencil, and before a half-hour is over I will have found the required formula." Half an hour had not elapsed before Barbicane, raising his head, showed Michel Ardan a page covered with algebraical signs, in which the general formula for the solution was contained. "Well, and does Nicholl understand what that means?"
I began to rally up my "little Latin and less Greek," in order to surprise the worthy sawyer and his wife; and I had fully determined to work out for him what the amount of his daily wages came to in a week, first by simple arithmetic, secondly by fractions, thirdly by decimals, and fourthly by duodecimals; and then to prove the whole correct by an algebraical equation.
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