Arithmetic: Designed for Academies and Schools, Uniting the Inductive Reasoning of the French with the Practical Methods of the English System, with Full Illustrations of the Method of Cancellation |
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Page 8
... Root . Extraction of the Cube Root .. EVOLUTION . PAGE 314-315 315-320 321-325 ARITHMETICAL PROGRESSION . Definition of , & c . 326-327 Different Cases ... 327-329 GEOMETRICAL PROGRESSION . Definition of , & c . 330-331 Cases .... 331 ...
... Root . Extraction of the Cube Root .. EVOLUTION . PAGE 314-315 315-320 321-325 ARITHMETICAL PROGRESSION . Definition of , & c . 326-327 Different Cases ... 327-329 GEOMETRICAL PROGRESSION . Definition of , & c . 330-331 Cases .... 331 ...
Page 313
... root . Thus , in the first example above , 4 is the root , and 16 the square or 2d power of 4 . In the second example , 3 is the root , and 27 the 3d power or cube of 3. The first power of a number is the number itself . 258. Involution ...
... root . Thus , in the first example above , 4 is the root , and 16 the square or 2d power of 4 . In the second example , 3 is the root , and 27 the 3d power or cube of 3. The first power of a number is the number itself . 258. Involution ...
Page 314
... cube of 7 ? Ans . 343 . 3. What is the square of 60 ? Ans . 3600 . 4. What is the 4th power of 5 ? Ans . 625 . 5 ... root is given . Evolution is the reverse of Involution : it teaches how to find the root when the power is known . The ...
... cube of 7 ? Ans . 343 . 3. What is the square of 60 ? Ans . 3600 . 4. What is the 4th power of 5 ? Ans . 625 . 5 ... root is given . Evolution is the reverse of Involution : it teaches how to find the root when the power is known . The ...
Page 315
... root of 36 , because 6 × 6 36 ; and 3 is the cube root of 27 , because 3 × 3 × 3 = 27 . The sign placed before a number denotes that its square root is to be extracted . Thus , √36-6 . The sign √ is called the radical sign , or the ...
... root of 36 , because 6 × 6 36 ; and 3 is the cube root of 27 , because 3 × 3 × 3 = 27 . The sign placed before a number denotes that its square root is to be extracted . Thus , √36-6 . The sign √ is called the radical sign , or the ...
Page 320
... root of .5 ? We first annex one cipher to make even decimal places . We then extract the root of the first period , to which we annex ciphers , forming new periods . OPERATION . .50 ... CUBE ROOT . 265. To extract the 320 EVOLUTION . -
... root of .5 ? We first annex one cipher to make even decimal places . We then extract the root of the first period , to which we annex ciphers , forming new periods . OPERATION . .50 ... CUBE ROOT . 265. To extract the 320 EVOLUTION . -
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Common terms and phrases
9 months acres altitude amount annex apiece apples Arithmetic bank becomes due bushels bushels of wheat called carats cent per annum ciphers cloth cost common denominator composite number containing cube root decimal fraction decimal places denominate number diameter discount divide the product dividend division dollars equal EXAMPLES express factors Federal money feet figure find the interest four gallon given number gives greater greatest common divisor Hence hogshead hundred hundredths improper fraction inches least common multiple less lowest terms merator miles mills minuend mixed numbers mixture molasses multiplicand Multiply number of terms numerator and denominator OPERATION ounces paid payable payment pound principal proper fraction proportion quotient Reduce remainder sell simple fraction simple numbers sold solid square root subtract sugar tare tens third thousand thousandths Troy weight units VULGAR FRACTIONS weight whole number worth Write yards cost yards of cloth
Popular passages
Page 208 - When any decimal number is to be divided by 10, 100, 1000, &c. the division is made by removing the decimal point as many places to the left as there are...
Page 40 - Multiplication is the process of taking one number as many times as there are units in another number.
Page 285 - Multiply each payment by the time before it becomes due, and divide the sum of the products by the sum of the payments : the quotient will be the mean time.
Page 25 - February 28, March 31, April 30, May 31, June 30, July 31, August 31, September 30, October 31, November 30, and December 31.
Page 165 - To reduce an improper fraction to a whole or mixed number, Divide the numerator by the denominator.
Page 115 - The circumference of every circle is supposed to be divided into 360 equal...
Page 259 - We shall now give the rule established in New York (see Johnson's Chancery Reports, vol. i., page 17,) for computing the interest on a bond or note, when partial payments have been made. The same rule is also adopted in Massachusetts, and in most of the other States.
Page 294 - THE CONDITION of the above obligation is such, that if the above bounden James Wilson, his heirs, executors, or administrators, shall well and truly pay or cause to be paid, unto the above named John Pickens, his executors, administrators, or assigns, the just and full sum of Here insert the condition.
Page 114 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.
Page 251 - Hence, to find the interest for any number of days, Multiply the principal by the number of days, divide the product by 6, and...