Arithmetic, its principles and practice

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Marcus & John Sullivan, 1857 - Arithmetic - 266 pages
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Page 69 - 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 v - 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 232 - 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 66 - 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 231 - 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 243 - ... 3 per cent. ? 4 per cent. ? 5 per cent. ? 6 per cent. ? 7 per cent. ? 7 per cent. ? 8 per cent.?
Page 64 - 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 69 - DAYS OF THE WEEK Sunday Monday Tuesday Wednesday Thursday Friday Saturday MONTHS January February...
Page i - 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 v - ... 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...

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