From a greengrocer he learnt arithmetic; and higher branches were begun under one of those wandering scholars who gained a livelihood by cures for the sick and lessons for the young.
In its charter this institution is described as "an academy for the purpose of promoting piety and virtue, and for the education of youth in the English, Latin and Greek languages, in writing, arithmetic, music and the art of speaking, practical geometry, logic and geography, and such other of the liberal arts and sciences or languages, as opportunity may hereafter permit."
With these definitions it is now possible to prove the following six premisses applying to finite cardinal numbers, from which Peano 2 has shown that all arithmetic can be deduced i.
The association of algebra with arithmetic on the one hand, and with geometry on the other, presents difficulties, in that geometrical measurement is based essentially on the idea of continuity, while arithmetical measurement is based essentially on the idea of discontinuity; both ideas being equally matters of intuition.
What are called negative numbers in arithmetic, for instance, are not really negative numbers but negative quantities (ï¿½ 27 (i.)); and the difficulties incident to the ideas of continuity have already been pointed out.
It should be noticed that we are still dealing with the elementary processes of arithmetic, and that all the numbers contemplated in ï¿½ï¿½ 14-17 are supposed to be positive integers.
Notation of Multiples.-The above is arithmetic. The only thing which it is necessary to import from algebra is the notation by which we write 2X instead of 2 X X or 2.
Algebraic treatment consists in replacing either of the terms A or B by an expression which we know from the laws of arithmetic to be equivalent to it.
General Arithmetical Theorems. (i.) The fundamental laws of arithmetic should be constantly borne in mind, though not necessarily stated.
Thus to show that the arithmetic mean of n positive numbers is greater than their geometric mean (i.e.
I am sure at this point some of you are rolling your eyes, thinking that I am resorting to linguistic games or arithmetic trickery.
That year I finished arithmetic, reviewed my Latin grammar, and read three chapters of Caesar's "Gallic War."
I go to school every day I am studying reading, writing, arithmetic, geography and language.
I study about the earth, and the animals, and I like arithmetic exceedingly.
I study Arithmetic, Latin and literature.
I see what a good and useful study it is, though I must confess my mind wanders from it sometimes! for, nice and useful as arithmetic is, it is not as interesting as a beautiful poem or a lovely story.
I study Latin, German, Arithmetic and English History, all of which I enjoy except Arithmetic.
Her progress in arithmetic has been equally remarkable.
If I suggest her leaving a problem in arithmetic until the next day, she answers, "I think it will make my mind stronger to do it now."
She has nearly finished Colburn's mental arithmetic, her last work being in improper fractions.
It was not a special subject, like geography or arithmetic, but her way to outward things.
Now, to speak the truth, I had but ten cents in the world, and it surpassed my arithmetic to tell, if I was that man who had ten cents, or who had a farm, or ten dollars, or all together.
His only books were an almanac and an arithmetic, in which last he was considerably expert.
His face wore that expression when his dry hands clenched with vexation at her not understanding a sum in arithmetic, when rising from his chair he would walk away from her, repeating in a low voice the same words several times over.