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

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Page 40

Three of these in

Long measure is employed for denoting the distance of places , and for

measuring any thing where

to sur ...

Three of these in

**length**were called an inch , and then the others as in the table .Long measure is employed for denoting the distance of places , and for

measuring any thing where

**length**only is concerned . When measure is appliedto sur ...

Page 49

TOT I s . 0 1412 25 17 18 2 10 45 587 17 49 56 4 15 40 249 12 35 24 3 24 26 30

19 If a man purchase a yoke of A certain field has four sides , oxen for £15 59 . 8d

. , four cows whose

TOT I s . 0 1412 25 17 18 2 10 45 587 17 49 56 4 15 40 249 12 35 24 3 24 26 30

19 If a man purchase a yoke of A certain field has four sides , oxen for £15 59 . 8d

. , four cows whose

**lengths**are as follows : for £20 10s . 6d . , and a horse 4ch . Page 112

09 rods ; what is the

square of | or divide it by the given proportion , | as the required diaineters is to be

equal area ? 1 greater or less than the given diam . Ans . 15 . 3 rods , eter , and ...

09 rods ; what is the

**length**square the given diameters , multiply of the side of asquare of | or divide it by the given proportion , | as the required diaineters is to be

equal area ? 1 greater or less than the given diam . Ans . 15 . 3 rods , eter , and ...

Page 125

There is a fish , whose head is 10 inches long , his tail is as long as his head ,

and half the

what is the

There is a fish , whose head is 10 inches long , his tail is as long as his head ,

and half the

**length**of his body , and his body is as long as his head and tail both ;what is the

**length**of the fish ? Suppose the fish to be 40 inches long , then 40 ... Page 141

6 inches = the

pendulum that will swing any given time . ROLE . ... What are the

pendulums , which will swing respectively s seconds , seconds , and two seconds

? . 5X .

6 inches = the

**length**of the pendulum , and 19 . 6X2 = 39 . ...**length**of apendulum that will swing any given time . ROLE . ... What are the

**lengths**of threependulums , which will swing respectively s seconds , seconds , and two seconds

? . 5X .

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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.