Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and Horner's Theorems : and Practical ExamplesA. S. Barnes & Burr, 1860 - 400 páginas |
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Página 7
... Decimal Fractions .... 146--147 Extraction of Roots of Algebraic Quantities .. 147-148 Of Polynomials .... 148-150 Transformation of Radicals . 150-155 Addition and Subtraction of Radicals . 155-150 Multiplication of Radicals . 156-157 ...
... Decimal Fractions .... 146--147 Extraction of Roots of Algebraic Quantities .. 147-148 Of Polynomials .... 148-150 Transformation of Radicals . 150-155 Addition and Subtraction of Radicals . 155-150 Multiplication of Radicals . 156-157 ...
Página 127
... decimal places required to be found in the root . 98. The manner of extracting the square root of a number containing an entire part and decimals , is deduced immediately from the preceding article . Let us take for example the number ...
... decimal places required to be found in the root . 98. The manner of extracting the square root of a number containing an entire part and decimals , is deduced immediately from the preceding article . Let us take for example the number ...
Página 128
... decimals equal to the number of decimal places to be found in the root . Hence , to extract the square root of a mixed decimal : Annex ciphers to the proposed number until the whole number of decimal places shall be equal to double the ...
... decimals equal to the number of decimal places to be found in the root . Hence , to extract the square root of a mixed decimal : Annex ciphers to the proposed number until the whole number of decimal places shall be equal to double the ...
Página 140
... to a certain number of decimal places , add 21 to this root , ana divide the result by 4 . Take the expression , 7√5 and find its value to within less than 0.01 . We have , 7√5 √11 + √3 75 ( √11 140 [ CHAP . V. ELEMENTS OF ALGEBRA .
... to a certain number of decimal places , add 21 to this root , ana divide the result by 4 . Take the expression , 7√5 and find its value to within less than 0.01 . We have , 7√5 √11 + √3 75 ( √11 140 [ CHAP . V. ELEMENTS OF ALGEBRA .
Página 207
... decimal fraction , we have the following RULE . Annex three times as many ciphers to the number , as there are decimal places in the required root ; extract the cube root of the number thus formed to within less than 1 , and point off ...
... decimal fraction , we have the following RULE . Annex three times as many ciphers to the number , as there are decimal places in the required root ; extract the cube root of the number thus formed to within less than 1 , and point off ...
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Términos y frases comunes
algebraic expression algebraic quantities approximating fraction arithmetical arithmetical progression becomes called co-efficient contrary signs cube root decimal places deduce denote the number derived polynomial Divide dividend entire number example exponent extract the square figures Find the factors Find the square find the values following RULE formula fourth fractional unit given equation given number gives greatest common divisor hence indicated inequality irreducible fraction last term leading letter least common multiple logarithm mixed quantity monomial multiplicand and multiplier negative roots nth power nth root number of terms obtain operation perfect square positive roots preceding problem proposed equation quotient radical sign real roots remainder required root required to find result second degree second member second term simplest form square root substituted subtract suppose supposition take the equation taken third unknown quantity whence whole number write
Pasajes populares
Página 174 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Página 290 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 286 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.
Página 117 - The first ten numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 Roots.
Página 136 - Resolve the quantity under the radical sign into two factors, one of which is the greatest perfect power of the same degree as the radical.
Página 200 - RULE I. Separate the given number into periods. of three figures each, beginning at the right hand ; the left hand period will often con tain less than three places of figures.
Página 100 - If A and B together can perform a piece of work in 8 days, A and c together in 9 days, and B and c in 10 days, how many days will it take each person to perform the same work alone.
Página 62 - Subtract the numerator of the subtrahend from the numerator of the minuend, and place the difference over the common denominator. EXAMPLES FOR PRACTICE.
Página 154 - B, departed from different places at the same time, and travelled towards each other. On meeting, it appeared that A had travelled 18 miles more than B ; and that A could have gone B's journey in 15| days, but B would have been 28 days in performing A's journey. How far did each travel ? Ans.
Página 222 - Consequently, teueя the index of the radical is divisible by the exponent of the power to which it is to be raised, perform the division, leaving the quantity under the radical sign unchanged.