The science of arithmetic, by J. Cornwell and J.G. Fitch

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Page 313 - A number is divisible by 3 when the sum of its digits (figures) is divisible by 3 ; it is divisible by 9, when the sum of its digits is divisible by 9.
Page 96 - 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 82 - ... remainder, and so on, until there is no remainder. The last divisor will be the greatest common divisor.
Page xi - Los números cardinales 0: zero 1: one 2: two 3: three 4: four 5: five 6: six 7: seven 8: eight 9: nine 10: ten 11: eleven 12: twelve 13: thirteen 14: fourteen 15: fifteen 16: sixteen 17: seventeen 18: eighteen 19: nineteen 20: twenty...
Page 315 - 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 179 - 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 265 - To find the area of a circle, multiply the square of the diameter by .7854.
Page 189 - 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 179 - Division, when the difference of the first and second is to the second as the difference of the third and fourth is to the fourth...
Page 98 - 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.

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