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

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Page 134

To find the

Rule 1 . - As 7 is to 22 , so is the

so is the circumference to the

...

To find the

**diameter**and circumference of a cirese , eitker from the other . ( 67 )Rule 1 . - As 7 is to 22 , so is the

**diameter**to the circumference , and as 22 is to 7 ,so is the circumference to the

**diameter**. · RULE 2 . - - As 113 is to 355 , 60 is the...

Page 135

What is the area of a cir . circle whose

10 roda , circumference 22 feet ? | and circumference 31 . 416 ? 11 = d

circumference . Ans . 78 . 54 rods . 3 . 5 % )

chains 55 in a ...

What is the area of a cir . circle whose

**diameter**is 7 , and cle whose**diameter**is10 roda , circumference 22 feet ? | and circumference 31 . 416 ? 11 = d

circumference . Ans . 78 . 54 rods . 3 . 5 % )

**diameter**. 4 . How Inany squarechains 55 in a ...

Page 136

Designed for the Use of Schools in the United States Zadock Thompson. 1 . What

is the area of an 2 . What is the area of an oval , whose longest

whose longest

Designed for the Use of Schools in the United States Zadock Thompson. 1 . What

is the area of an 2 . What is the area of an oval , whose longest

**diameter**ovalwhose longest

**diameter**is 1s 5 feet , and shortest 4 feet ? 1 21 , and shortest 17 ? Page 138

Multiply the cube of the

the solid content sphere whose

inches ?

Multiply the cube of the

**diameter**by . 5236 , or mut tiply the square of the**diameter**by one oth of the circumference . 1 . What is the content of a l 2 . What isthe solid content sphere whose

**diameter**is 12 of the earth , its circumferenceinches ?

Page 149

77 feet , for the height of the garner . 345 . TABLE FOR CYLINDRIC MEASURE .

Area . Area . 1210 . 7854 | | 1911 . 9689 / 2013 . 6863113315 . 9395 | | 401 8 .

77 feet , for the height of the garner . 345 . TABLE FOR CYLINDRIC MEASURE .

**Diameter**.**Diameter Diameter Diameter**.**Diameter Diameter**Area . | Area . AreaArea . Area . 1210 . 7854 | | 1911 . 9689 / 2013 . 6863113315 . 9395 | | 401 8 .

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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.