## 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

A square inch is a square measuring an inch on every

measure is made from that of long measure by multiplying the several numbers of

the latter into themselves . Thus , 12 inches are a fooi in length , a square foot ...

A square inch is a square measuring an inch on every

**side**. The table of squaremeasure is made from that of long measure by multiplying the several numbers of

the latter into themselves . Thus , 12 inches are a fooi in length , a square foot ...

Page 49

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

cows whose lengths are as follows : for £20 10s . 6d . , and a horse 4ch . 27lin .

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 . , fourcows whose lengths are as follows : for £20 10s . 6d . , and a horse 4ch . 27lin .

Page 112

the

or 160 large ? Ans . 24 . rods ? Ans . 12 , 619 + rods , Circles are to one another

as the 11 . The area of a circle is squares of their diameter ; therefore 234 .

the

**side**of a square , which / ameter of a circle 4 times as shall contain an acre ,or 160 large ? Ans . 24 . rods ? Ans . 12 , 619 + rods , Circles are to one another

as the 11 . The area of a circle is squares of their diameter ; therefore 234 .

Page 114

2 is 20 , that is , 8000 feel of the stone will make a pile measuring 20 3 * * *

0072X30 = 1260 ) 4167 feet on each

that the addition must be made upon 3

square ...

2 is 20 , that is , 8000 feel of the stone will make a pile measuring 20 3 * * *

0072X30 = 1260 ) 4167 feet on each

**side**, and ... 3X3X3 27 Now it is ubviousthat the addition must be made upon 3

**sides**; and 4167 each**side**being 20 feetsquare ...

Page 151

7071 , the natural sine of 45° ; and in the second case , multiply the

stick required by 1 . 4142 , the natural secant of 45° . EXAMPLES 1 . How big will

a log square that is 2 . 5 feet diameter ? Ans . 0 . 7071X2 . 5 = 1 , 76775 feet for ...

7071 , the natural sine of 45° ; and in the second case , multiply the

**side**of thestick required by 1 . 4142 , the natural secant of 45° . EXAMPLES 1 . How big will

a log square that is 2 . 5 feet diameter ? Ans . 0 . 7071X2 . 5 = 1 , 76775 feet for ...

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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.