# Arithmetic, its principles and practice

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### Contents

 Fractions 53 DecimalPrinciples of 161 Practice 174 Series 205 Logarithms 214
 Annuities 235 Permutations 245 Miscellaneous Exercises 254 Scales of Notation 261

### Popular passages

Page 67 - Thirty days hath September, April, June, and November, All the rest have thirty-one Excepting February alone : Which hath but twenty-eight, in fine, Till leap year gives it twenty-nine.
Page 64 - May one thousand eight hundred and twenty-five, the Straight Line or Distance between the Centres of the Two Points in the Gold Studs in the Straight Brass Rod, now in the Custody of the Clerk of the House of Commons, whereon the Words and Figures
Page iii - Just so it is in the mind ; would you have a man reason well, you must use him to it betimes, exercise his mind in observing the connection of ideas and following them in train. Nothing does this better than mathematics, which therefore I think should be taught all those who have the time and opportunity, not so much to' make them mathematicians as to make them reasonable creatures...
Page 230 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Page 268 - HAND-BOOK OF ENGLISH GRAMMAR, comprising in a concise and simple form, the substance of all the most approved English Grammars extant; with Questions for Exercise, and copious Examples for Parsing. &c. Also an EXTENSIVE GLOSSARY of the principal words made use of in this Treatise, pointing out the roots and meanings of those derived from the Hebrew, Greek, Latin, and French Languages, with a reference to the pages where the words...
Page 62 - One measure of Wine shall be through our Realm, and one measure of Ale, and one measure of Corn, that is to say, the Quarter of London; and one breadth of dyed Cloth, Russets, and Haberjects, that is to say, two Yards within the lists. And it shall be of Weights as it is of Measures.
Page 229 - RULE. — Divide the given sum by the amount of \$ 1 for the given time and rate, and the quotient will be the PRESENT WORTH.
Page 67 - DAYS OF THE WEEK Sunday Monday Tuesday Wednesday Thursday Friday Saturday MONTHS January February...
Page 271 - It requires that we should generalise slowly, going from particular things to those which are but one step more general; from those to others of still greater extent, and so on to such as are universal. By such means we may hope to arrive at principles, not vague and obscure, hut luminous and well-defined, such as nature herself will not refuse to acknowledge.
Page iii - ... attained by reasoning, its truth or falsehood can be ascertained, in geometry by actual measurement, in algebra by common arithmetical calculation. This gives confidence, and is absolutely necessary, if, as was said before, reason is not to be the instructor, but the pupil. 5. There are no words whose meanings are so much alike that the ideas which they stand for may be confounded. Between the meanings of terms there is no distinction, except a total distinction, and all adjectives and adverbs...