Εικόνες σελίδας
PDF
Ηλεκτρ. έκδοση

FOR THE

USE OF SCHOOLS:

WITH

TABLES FOR THE REDUCTION OF COMPOUND

NUMBERS TO DECIMALS;

[blocks in formation]

EXAMINER, IN MATHEMATICS,
OF CANDIDATES FOR COMMISSIONS IN HER MAJESTY'S SERVICE;

AND PROFESSOR OF MATHEMATICS IN THE ROYAL MILITARY COLLEGE,

SANDHURST.

LONDON:
LONGMAN, BROWN, GREEN, AND LONGMANS

[ocr errors]

LONDON: A. and G. A. SPOTTISWOODE,

New-street-Square.

[ocr errors]
[ocr errors]
[ocr errors]
[ocr errors]
[ocr errors]
[ocr errors]

ARITHMETIC.

ARTICLE 1. Arithmetic is the science of Numberg.

Magnitude and quantity are terms employed to describe whatever is susceptible of increase or diminution.

Unity is any quantity with which other quantities of the same kind are compared for the purpose of determining their measures or values.

Number is the result of the combination of units of the same kind, or the relation which expresses how often a quantity contains that other quantity of the same kind which has been taken as unity.

2. By comparing different quantities of the same kind with the same unit, different numbers are obtained. To each of these a different name: must, for the sake of distinction, be assigned

The name employed to denote a single individual is one. All whole numbers are formed by the combination of one with itself, then with the result of this combination, and so on indefinitely.

The series of numbers being unlimited, to give every number a simple name would be inconvenient and even impossible. By means, however, of a few simple names and other expressions compounded of these simple names, a nomenclature is formed sufficiently copious to serve erery requirement, whether of theory or practice.

The simple names of number are one, two, three, four, five, six, seven, eight, nine, ten, hundred, thousand, million, billion, trillion, quadrillion, quintillion, &c. The number formed of

B

« ΠροηγούμενηΣυνέχεια »