Higher Arithmetic: Or the Science and Application of Numbers, Combining the Analytic and Synthetic Modes of Instruction ... |
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Page xii
... Cubes , 365 Extraction of the Square Root , 367 Demonstration of the Square Root , 368 Applications of the Square Root , 370 Extraction of the Cube Root , Horner's Method , 374 Demonstration of the Cube Root , 376 Extraction of Higher ...
... Cubes , 365 Extraction of the Square Root , 367 Demonstration of the Square Root , 368 Applications of the Square Root , 370 Extraction of the Cube Root , Horner's Method , 374 Demonstration of the Cube Root , 376 Extraction of Higher ...
Page 152
... 128 . QUEST . - Obs . What is a square ? What is a square inch ? A square foot ? A square yard ? 258. In what is Cubic Measure used ? Recite the Table . Obs . 1. A Cube is a solid body bounded 152 [ SECT . VIII . COMPOUND NUMBERS .
... 128 . QUEST . - Obs . What is a square ? What is a square inch ? A square foot ? A square yard ? 258. In what is Cubic Measure used ? Recite the Table . Obs . 1. A Cube is a solid body bounded 152 [ SECT . VIII . COMPOUND NUMBERS .
Page 153
... Cube is a solid body bounded by six equal sides . It is often called a hexaedron . Hence , A Cubic Inch is a cube , each of whose sides is a square inch , as represented by the adjoin- ing figure . A Cubic Foot is a cube , each of whose ...
... Cube is a solid body bounded by six equal sides . It is often called a hexaedron . Hence , A Cubic Inch is a cube , each of whose sides is a square inch , as represented by the adjoin- ing figure . A Cubic Foot is a cube , each of whose ...
Page 360
... cube ; ( Art . 258. Obs . 1 ; ) for , if the side of a cube is 3 feet , then the product of 3 × 3 × 3 = 27 feet , will be the solidity of the given cube . ( Art . 286. ) But 3 × 3 × 3 = 27 is also the third power of 3 ; hence it is ...
... cube ; ( Art . 258. Obs . 1 ; ) for , if the side of a cube is 3 feet , then the product of 3 × 3 × 3 = 27 feet , will be the solidity of the given cube . ( Art . 286. ) But 3 × 3 × 3 = 27 is also the third power of 3 ; hence it is ...
Page 361
... cube of 19 . Ans . 172 , 193 . 7. The 2d power of 299 . 8. The 4th power of 785 . Express the given powers of the following numbers : 2. The square of 54 . 3. The cube of 43 . 4. The square of 87 . 5. The biquadrate of 91 . 6. The 3d ...
... cube of 19 . Ans . 172 , 193 . 7. The 2d power of 299 . 8. The 4th power of 785 . Express the given powers of the following numbers : 2. The square of 54 . 3. The cube of 43 . 4. The square of 87 . 5. The biquadrate of 91 . 6. The 3d ...
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Common terms and phrases
acres added amount annexed answer required apiece Arithmetic avoirdupois barrels bbls bought bushels called canceling ciphers CIRCULATING DECIMALS column common fraction composite number compound numbers cost cube cubic inches decametre decimal figures denotes difference Divide the given dividend division dollars dolls Dry Measure equal expressed farthings Federal Money gallons gals given dividend given fractions given number greatest common divisor Hence hhds hundred hundredths improper fraction insured least common multiple less number method miles mills mixed number months multiplicand Multiply notation Operation partial product payable pence period pounds present worth prime factors prime number principle quantity quotient radix rate per cent ratio remainder right hand figure rods root shillings simple fraction sold square subtract thousandths Troy Troy pound Troy weight units weight whole number wine measure yard
Popular passages
Page 363 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 109 - To reduce a mixed number to an improper fraction. Multiply the whole number by the denominator of the fraction, and to the product add the given numerator.
Page 95 - 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 98 - A common multiple of two or more numbers, is a number which can be divided by each of them without a remainder. Thus, 12 is a common multiple of 2, 3, and 4 ; 15 is a common multiple of 3 and 5, &c.
Page 17 - It shows that the numbers between which it is placed are to be multiplied together ; thus, the expression 7 x 5 = 35 is read, 7 multiplied by 5 is equal to 35.
Page 373 - When four numbers are in arithmetical progression the sum of the extremes is equal to the sum of the means. Thus, if 5—3 = 9—7, then will 5+7=3+9.
Page 354 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.
Page 142 - Britain. 4 farthings (qr, or far.) make 1 penny, marked d. 12 pence " 1 shilling, " s. 20 shillings " 1 pound, or sovereign, £. 21 shillings " 1 guinea. OBS. 1. It is customary, at the present day, to express farthings in fractions of a penny. Thus, 1 qr. is written ;<!;•_
Page 386 - These are usually accounted six in number, viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Page 360 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.