In this way I believed that I could borrow all that was best both in geometrical analysis and in algebra, and correct all the defects of the one by help of the other.
But the chief ground of my satisfaction with thus method, was the assurance I had of thereby exercising my reason in all matters, if not with absolute perfection, at least with the greatest attainable by me: besides, I was conscious that by its use my mind was becoming gradually habituated to clearer and more distinct conceptions of its objects; and I hoped also, from not having restricted this method to any particular matter, to apply it to the difficulties of the other sciences, with not less success than to those of algebra.
Let us have a little algebra
, instead of this trite rhetoric,--universal signs, instead of these village symbols,--and we shall both be gainers.
You shall try and make me like algebra
, and I 'll try and make you like Latin, will you?
At Mr Wackford Squeers's Academy, Dotheboys Hall, at the delightful village of Dotheboys, near Greta Bridge in Yorkshire, Youth are boarded, clothed, booked, furnished with pocket-money, provided with all necessaries, instructed in all languages living and dead, mathematics, orthography, geometry, astronomy, trigonometry, the use of the globes, algebra
, single stick (if required), writing, arithmetic, fortification, and every other branch of classical literature.
Because you do not know algebra," answered Barbicane quietly.
Well, algebra is a tool, like the plow or the hammer, and a good tool to those who know how to use it.
First effects of algebra," replied Barbicane; "and now, to finish, we are going to prove the given number of these different expressions, that is, work out their value.
Nothing was wanting to enable him to enter upon the immediate execution of this plan, but the death of Mr Allworthy; in calculating which he had employed much of his own algebra
, besides purchasing every book extant that treats of the value of lives, reversions, &c.
Even Miss Pinkerton, that austere and godlike woman, ceased scolding her after the first time, and though she no more comprehended sensibility than she did Algebra
, gave all masters and teachers particular orders to treat Miss Sedley with the utmost gentleness, as harsh treatment was injurious to her.
Orthography, etymology, syntax, and prosody, biography, astronomy, geography, and general cosmography, the sciences of compound proportion, algebra
, land-surveying and levelling, vocal music, and drawing from models, were all at the ends of his ten chilled fingers.
In her desire to be in all things his companion, she would have set herself with equal zeal to master Algebra
, or Euclid, if he had divided his soul between her and either.
We learned Latin," said Tom, pausing a little between each item, as if he were turning over the books in his school-desk to assist his memory,--"a good deal of Latin; and the last year I did Themes, one week in Latin and one in English; and Greek and Roman history; and Euclid; and I began Algebra
, but I left it off again; and we had one day every week for Arithmetic.
But I swear I judge her intellectually, simply from the metaphysical point of view; there is a sort of symbolism sprung up between us, a sort of algebra
or what not
Our point of view is that a sup-algebra
is an ordered algebra
with a 'very good' order structure.