The Elements of Arithmetic...: In which Decimal and Integral Arithmetic are Combined, and Taught Inductively, on the System of Pestalozzi, Part 2 |
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Page 6
... Extraction of Roots is universally admitted to be the best that has ever been proposed , and has there- fore been substituted for the common rule , which is equally Alge- braical , and much more tedious in its application . The chapters ...
... Extraction of Roots is universally admitted to be the best that has ever been proposed , and has there- fore been substituted for the common rule , which is equally Alge- braical , and much more tedious in its application . The chapters ...
Page 8
... Extraction of the Square Root 112 Extraction of the Cube Root 118 General Rule for the Roots of all Powers 122 Arithmetical Progression 127 Geometrical Progression 131 Harmonical Progression 136 Annuities 137 Exchange 143 Divisibility ...
... Extraction of the Square Root 112 Extraction of the Cube Root 118 General Rule for the Roots of all Powers 122 Arithmetical Progression 127 Geometrical Progression 131 Harmonical Progression 136 Annuities 137 Exchange 143 Divisibility ...
Page 111
... extracts the corresponding root . Then the 3d root of the 3d power , the 5th root of the 5th power , & c . , is the 1st power . We may multiply or divide any two roots of the same number , by adding or subtracting the fractional ...
... extracts the corresponding root . Then the 3d root of the 3d power , the 5th root of the 5th power , & c . , is the 1st power . We may multiply or divide any two roots of the same number , by adding or subtracting the fractional ...
Page 112
... EXTRACTION OF THE SQUARE ROOT . The square root of a number is the number which , when multiplied by itself , will produce the given number . In the following table are the numbers from 1 to 10 in- clusive , and beneath them are their ...
... EXTRACTION OF THE SQUARE ROOT . The square root of a number is the number which , when multiplied by itself , will produce the given number . In the following table are the numbers from 1 to 10 in- clusive , and beneath them are their ...
Page 113
... extract the square root of 1369. Pointing the periods , we find the root will consist of two figures , and the square of the tens must therefore be contained in the 13 hundreds . The greatest square in 13 is 9 , and the root 3 is ...
... extract the square root of 1369. Pointing the periods , we find the root will consist of two figures , and the square of the tens must therefore be contained in the 13 hundreds . The greatest square in 13 is 9 , and the root 3 is ...
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Common terms and phrases
5th power 9 hours acres amount annuity approximate values Arithmetic Avoirdupois bill bought bushel cents a pound column commence common difference compound interest contained continued fraction cost cube root cubic decimal denominator diameter discount Divide dividend divisible dollars dominical letter equal example exchange Extract extremes feet fraction gain gallons Geometrical Progression given number greatest common divisor harmonical means hours a day hundred improper fraction inches last term least common multiple less lowest terms marcs mean proportional miles minuend months multiplicand Multiply number of terms obtained oxen paid payable payment piece present worth prime factors prime number PROBLEM quotient figure ratio Reduce remainder repetend rods root figure RULE sold square number square root subtract sugar tens third trial divisor undecillion units weeks weighs whole number wide yards zeroes లు
Popular passages
Page 127 - And we may moreover observe, that the sum of the extremes is equal to the sum of any two terms equally distant from the extremes, or to twice the middle term, when the number of terms is odd.
Page 177 - To find the solid contents of a cylinder. RULE. Multiply the area of the base by the height.
Page 107 - Take a series of numbers, commencing with the number of things given, and decreasing by 1, until the number of terms is equal to the number of things to be taken at a time : the product of all the terms will be the answer required.
Page 18 - ... move the decimal point as many places to the right as there are ciphers in the multiplier.
Page 166 - If 2 men start from the same place and travel in opposite directions, one at the rate of 4...
Page 29 - Ten Pounds Avoirdupois Weight of distilled Water weighed in Air, at the Temperature of Sixty two Degrees of Fahrenheit's Thermometer, the Barometer being at Thirty Inches...
Page 106 - PROBLEM II. Any number of different things being given, to find how many changes can be made out of them by taking a given number of the things at a time.
Page 106 - To find the number of Permutations or changes, that can be made of any given number of things, all different from each other.- . RULE. Multiply all the terms of the natural series of numbers, from one up to the given number, continually together, and the last product will be the answer required.
Page 20 - DIVISION is the process by which we find how many times one number or part of a number is contained in, or may be subtracted from, another. The number to be divided is the dividend. The number to divide by, is the divisor. The number of times the dividend contains the divisor, is the quotient. The divisor and quotient may also be regarded as factors of the dividend. The number left, (if any,) after the operation, is the remainder.
Page 27 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.