The North American Arithmetic: Part Third, for Advanced Scholars |
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Page 3
... common business . PART THIRD comprises a brief view of the elementary principles of arithmetic , and a full development of its higher operations . Although it is especially prepared to succeed the use of Part Second , it may be ...
... common business . PART THIRD comprises a brief view of the elementary principles of arithmetic , and a full development of its higher operations . Although it is especially prepared to succeed the use of Part Second , it may be ...
Page 18
... COMMON MEASURE . When a number can be measured by another , the for- mer is called the MULTIPLE of the latter . If a number can be measured by two or more numbers , it is called their COMMON MULTIPLE . A COMPOSITE NUMBER is that which ...
... COMMON MEASURE . When a number can be measured by another , the for- mer is called the MULTIPLE of the latter . If a number can be measured by two or more numbers , it is called their COMMON MULTIPLE . A COMPOSITE NUMBER is that which ...
Page 22
... common measure ; that is , the greatest number which will divide them both without a remainder . RULE . Divide the ... common measure of more than two numbers is required , first , find the greatest common mea- sure of any two of the ...
... common measure ; that is , the greatest number which will divide them both without a remainder . RULE . Divide the ... common measure of more than two numbers is required , first , find the greatest common mea- sure of any two of the ...
Page 23
Part Third, for Advanced Scholars Frederick Emerson. common measure of the number found and another of the given numbers , and thus proceed , till all the given num- hers are brought in . 17. What is the greatest common measure of 913 ...
Part Third, for Advanced Scholars Frederick Emerson. common measure of the number found and another of the given numbers , and thus proceed , till all the given num- hers are brought in . 17. What is the greatest common measure of 913 ...
Page 24
... common multiple ; that is , the least nuin ber that will contain each of the given numbers a whole number of times . RULE . Divide two or more of the given numbers by any prime number that will measure them , repeat the operation upon ...
... common multiple ; that is , the least nuin ber that will contain each of the given numbers a whole number of times . RULE . Divide two or more of the given numbers by any prime number that will measure them , repeat the operation upon ...
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Common terms and phrases
75 cents acres annuity annum avoirdupois bajocchi barrels Bill bushels called carats cask ciphers circumference common difference compound interest COMPOUND NUMBERS contain continual proportionals cost cube root denoted diameter discount divided dividend divisor dollars 50 cents dry measure Ducat equal example exchange expressed Extract the square factors Federal money figure Flemish florin foot francs frustrum gallon given number Hamburgh hogshead improper fraction infinite decimal least common multiple length maravedis mean proportional measure merchant miles minuend mixed number months multiplied number of terms number of things operation ounces paid payable payment pence pezza piastre places pounds present worth quantity quotient rate per cent ratio received Reduce remainder repetend rix dollar rods rupee series of continual shillings sold Spanish dollars square root sterling Subtract Suppose United vulgar fraction weight whole number wide wine yards of cloth
Popular passages
Page 7 - ... 11 eleven 12 twelve 13 thirteen 14 fourteen 15 fifteen 16 sixteen 17 seventeen 18 eighteen 19 nineteen 20 twenty 21 twenty-one...
Page 114 - Multiply each debt by its term of credit, and divide the sum of the products by the sum of the debts. The quotient will be the average term of credit.
Page 184 - ... 5, 7, 9, 11, 13, 15, &c. is an ascending series. ( 15, 13, 11, 9, 7, 5, 3, &c. is a descending series. The numbers which form the series are called the terms of the series. The first and last terms are the extremes, and the other terms are called the means. There are five things in arithmetical progression, any three of which being given, the other two may be found : — 1st.
Page 27 - 10 pounds, Avoirdupois weight, of distilled water, weighed in air, at the temperature of 62° of Fahrenheit's thermometer, the barometer standing at 30 inches.
Page 44 - Subtract the numerator of the subtrahend from the numerator of the minuend, and place the difference over the common denominator.
Page 178 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained in the dividend...
Page 104 - 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.
Page 55 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Page 166 - Subtract the square number from the left hand period, and to the remainder bring down the next period for a dividend. III. Double the root already found for a divisor ; seek how many times the divisor is contained in the dividend...
Page 104 - 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, and then the surplus is to be applied towards discharging the principal ; and interest is to be computed on the balance, as aforesaid.