Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges ... with an Appendix |
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Page 3
... questions ; and , where we thought the operations too difficult , we have either given the whole work , or so much as to leave nothing to perplex the beginner . In all these modifications we have been guided , not only by our own prac ...
... questions ; and , where we thought the operations too difficult , we have either given the whole work , or so much as to leave nothing to perplex the beginner . In all these modifications we have been guided , not only by our own prac ...
Page 8
... questions solved by analysis , 248 CHAPTER XIII . Miscellaneous questions , . 273 APPENDIX , .. 283 ARITHMETIC . CHAPTER I. DEFINITIONS . 1. ANY whole number viii CONTENTS .
... questions solved by analysis , 248 CHAPTER XIII . Miscellaneous questions , . 273 APPENDIX , .. 283 ARITHMETIC . CHAPTER I. DEFINITIONS . 1. ANY whole number viii CONTENTS .
Page 102
... questions : 1. Express approximately the fractional part of 24 hours , by which the solar year of 365 days , 5 hours , 48 minutes , and 48 seconds , exceeds 365 days . 5 hours , 48 minutes , 48 seconds = 20928 seconds . 24 hours = 86400 ...
... questions : 1. Express approximately the fractional part of 24 hours , by which the solar year of 365 days , 5 hours , 48 minutes , and 48 seconds , exceeds 365 days . 5 hours , 48 minutes , 48 seconds = 20928 seconds . 24 hours = 86400 ...
Page 112
... questions of the Rule of Three is contained in the following simple RULE . Of the three terms which are given , one will always be of the same kind as the answer sought ; this will be the third term . Then if , by the nature of the question ...
... questions of the Rule of Three is contained in the following simple RULE . Of the three terms which are given , one will always be of the same kind as the answer sought ; this will be the third term . Then if , by the nature of the question ...
Page 113
... question will admit , since it will always very much simplify the operation . 4. If 3 pounds of coffee cost 2 shillings , how much will 10 pounds cost ? In this example , 21 shillings must be our third 10 * RULE OF THREE . 113.
... question will admit , since it will always very much simplify the operation . 4. If 3 pounds of coffee cost 2 shillings , how much will 10 pounds cost ? In this example , 21 shillings must be our third 10 * RULE OF THREE . 113.
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Common terms and phrases
12 days 1st column acres added amount of $1 annexed annuity arith arithmetical progression bushel ciphers common difference compound interest continued fraction cube root decimal figures denoted diameter digits diminished dividend divisible by 9 EXAMPLES feet find the interest find the present following RULE fraction is equivalent gallons geometrical progression given principal gives greatest common measure gression half the number Hence improper fraction inches indorsement interest of $1 last term least common multiple less method metical progression miles mixed number multiplied nearly number is divisible number of dollars number of terms numerator and denominator obtain Operation oxen partial fraction period pounds present worth prime factors quantity quotient rate per cent ratio reciprocal Reduce remainder result right-hand figure Rule under Art second term shillings Solution square root subtract tabular number third term trial divisor true divisor twice the product vulgar fraction whole number worth of $1 yards
Popular passages
Page 194 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 39 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Page 311 - That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Page 134 - If the payment be less than the interest, the surplus of interest must not be taken to augment the principal; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due...
Page 17 - ... any number divided by 9 will leave the same remainder as the sum of its digits divided by 9.
Page 134 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due. " If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due.
Page 178 - To raise a whole number or a decimal to any power, use it as a factor as many times as there are units in the exponent.
Page 249 - His head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together. What was the weight of the fish ? Let 2x = the weight of the body in pounds.
Page 323 - That is, the cube of the sum of two quantities is equal to the cube of the first, plus three times the square of the first...
Page 41 - Then multiply each numerator by all the denominators, except its own, for a new numerator, and all the denominators together for a common denominator.