## The Youth's Assistant in Theoretic and Practical Arithmetic: Designed for the Use of Schools in the United States |

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Page 42

A standard bushel is 18 $ inches diamoter and 8 inches deep . The statute

bushel for measur . ing coal , ashes and lime , in Vermont , contains 38 quarts , or

2553 . 6 cubic inches * Every circle , without regard to its size , is

...

A standard bushel is 18 $ inches diamoter and 8 inches deep . The statute

bushel for measur . ing coal , ashes and lime , in Vermont , contains 38 quarts , or

2553 . 6 cubic inches * Every circle , without regard to its size , is

**supposed**to be...

Page 64

By this method the interest is

made ; and although , on that account , it is not always perfect , y correct , it is

perhaps sufficiently so for common use . This inethod is ex tonsively used , and is

...

By this method the interest is

**supposed**to be always due whenever a paymeut ismade ; and although , on that account , it is not always perfect , y correct , it is

perhaps sufficiently so for common use . This inethod is ex tonsively used , and is

...

Page 124

Now , as the ratios are the same , both in the true and

evident that the true sum of their ages will have the same ratio to the true age of

each individual , that the sun of the

each ...

Now , as the ratios are the same , both in the true and

**supposed**ages , it isevident that the true sum of their ages will have the same ratio to the true age of

each individual , that the sun of the

**supposed**ages has to the**supposed**age ofeach ...

Page 125

Multiply the first

number by the first error ; and if the errors be alike ( that is , both too great or both

too small ) , divide the difference of the products by the difference of the errors ;

but if ...

Multiply the first

**supposed**number by the last error , and the last**supposed**number by the first error ; and if the errors be alike ( that is , both too great or both

too small ) , divide the difference of the products by the difference of the errors ;

but if ...

Page 142

... whereabout on the shafts the centre of the body should be fixed ; the chaise

maker advised to place it 30 inches before the axletree ; others

inches would be a sufficient incumbrance for the horse , wow suppor337 , 388 .

... whereabout on the shafts the centre of the body should be fixed ; the chaise

maker advised to place it 30 inches before the axletree ; others

**supposed**that 20inches would be a sufficient incumbrance for the horse , wow suppor337 , 388 .

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### Common terms and phrases

acres added Addition amount ANALYSIS answer body bush bushels called cash cents Change ciphers column common compound contains cost cube cubic decimal denominator denoted diameter difference distance divide dividend division divisor dollars dolls equal evidently example expressed factors feet figures foot four fraction gain gallon give given greater half Hence hundred hundredths inches interest least left hand length less mean measure method miles months multiply names operation payment period person pound principal proceed proportion quantity QUESTIONS FOR PRACTICE quotient ratio receive Reduce remainder right hand rods root rule share shillings side simple solid square square root subtract supposed tens tenths third tion units vulgar weight whole worth write written yard

### Popular passages

Page 82 - Multiply each payment by its term of credit, and divide the sum of the products by the sum of the payments ; the quotient will be the average term of credit.

Page 89 - The greatest common divisor of two or more numbers, is the greatest number which will divide them without a remainder. Thus 6 is the greatest common divisor of 12, 18, 24, and 30.

Page 118 - PROBLEM II. The first term, the last term, and the number of terms given, to find the common difference. RULE. — Divide the difference of the extremes by the number of terms less 1 , and the quotient will be the common diffcrenct.

Page 111 - 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 94 - It will be seen that we multiply the denominator of the dividend by the numerator of the divisor for the denominator of the quotient, and the numerator of the dividend by the denominator of the divisor for the numerator of the quotient.

Page 120 - Add together the most convenient indices to make an index less by 1 than the number expressing the place of the term sought. 3. Multiply the terms of the geometrical series together belonging to those indices, and make the product a dividend. 4. Raise...

Page 115 - 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 31 - 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 2 - 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 93 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.