The science of arithmetic, by J. Cornwell and J.G. Fitch1878 |
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Common terms and phrases
acres 2 roods amount annuity annum answer antecedent Arithmetic arithmetical mean Arithmetical Progression avoirdupois AXIOM called ciphers circumference common difference common multiple common ratio compound interest concrete numbers contains cost cube root cubic foot cubic inches decimal fraction decimal places denominator diameter digits discount divide dividend Division divisor equal EXERCISE expressed farthings figures following numbers foot Formula.-If fourth gallon geometrical geometrical progression give given number grains greater greatest common measure Hence hundred least common multiple length less logarithms magnitudes method miles multiplicand multiply number of terms ounces pence poles pound present value prime number principal proportion quantity quotient rate per cent recurring decimals Reduce remainder represent rule shillings square root subtract sum of money tens third thousands tons unit vulgar fractions weight whole number worth yards ΙΟ
Popular passages
Page 110 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Page 355 - A person invests £1365 in the 3 per cents, at 91 ; he sells out £1000 stock when they have risen to 93^, and the remainder when they have fallen to 85. How much does he gain or lose by the transaction ? 12.
Page 343 - A privateer running at the rate of 10 miles an hour discovers a ship 18 miles off making way at the rate of 8 miles an hour : how many miles can the ship run before being overtaken ? Ans.
Page 194 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Page 97 - ... remainder, and so on, until there is no remainder. The last divisor will be the greatest common divisor.
Page 204 - Sir," said I, after puzzling a long time over "more requiring more and less requiring less" — "will you tell me why I sometimes multiply the second and third terms together and divide by the first — and at other times multiply the first and second and divide by the third?" "Why, because more requires more sometimes, and sometimes it requires less — to be sure. Haven't you read the rule, my boy?" " Yes, sir, I can repeat the rule, but I don't understand it.
Page 110 - To reduce an improper fraction to a whole or mixed number, — RULE : Divide the numerator by the denominator ; the quotient will be the whole or mixed number. EXAMPLES FOR PRACTICE.
Page 356 - I buy 10 shares of £20 each at 27£ ; I receive a dividend of 15 per cent. and then sell out at 37 £. How much have I gained in all ? 13.
Page 112 - If the numerator and denominator of a fraction be both multiplied or both divided by the same number, the value of the fraction is not altered.
Page 354 - After this one more man and one more boy are put on, and ^ more is done in 3 days ; how many more men must be put on, that the whole may be completed in one day more ? (522) £10,000 are left to a person, and allowed to accumulate for 3 years at 5 per cent.