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 6
... Inequalities .... 77-78 78-80 81 81 82-83 83-88 .Page 96 88-89 89--91 91-92 92-93 CHAPTER V. EXTRACTION OF THE SQUARE ROOT OF NUMBERS . - OF ALGEBRAIC QUAN- TITIES . - TRANSFORMATION OF RADICALS OF THE SECOND DEGREE . Extraction of the ...
... Inequalities .... 77-78 78-80 81 81 82-83 83-88 .Page 96 88-89 89--91 91-92 92-93 CHAPTER V. EXTRACTION OF THE SQUARE ROOT OF NUMBERS . - OF ALGEBRAIC QUAN- TITIES . - TRANSFORMATION OF RADICALS OF THE SECOND DEGREE . Extraction of the ...
Página 13
... . They are too well known to be repeated here . These , with * Davies ' Logic and Utility of Mathematics . § 278 . the signs of equality and inequality , together with the INTRODUCTION . 18 To Multiply Fractions 68-VII.
... . They are too well known to be repeated here . These , with * Davies ' Logic and Utility of Mathematics . § 278 . the signs of equality and inequality , together with the INTRODUCTION . 18 To Multiply Fractions 68-VII.
Página 14
... inequality , together with the letters of the alphabet , are the elements of the algebraic language . The interpretation of the language of Algebra is the first thing to which the attention of a pupil should be directed ; and he should ...
... inequality , together with the letters of the alphabet , are the elements of the algebraic language . The interpretation of the language of Algebra is the first thing to which the attention of a pupil should be directed ; and he should ...
Página 17
... inequality , and is used to indicate that one quantity is greater or less than another . Thus , ab is read , a greater than b ; and a < b is read , a less than b ; that is , the opening of the sign is turned toward the greater quantity ...
... inequality , and is used to indicate that one quantity is greater or less than another . Thus , ab is read , a greater than b ; and a < b is read , a less than b ; that is , the opening of the sign is turned toward the greater quantity ...
Página 113
... inequality is the expression of two unequal quantities connected by the sign of inequality . Thus , a > b is an ... INEQUALITIES . Inequalities 92-93.
... inequality is the expression of two unequal quantities connected by the sign of inequality . Thus , a > b is an ... INEQUALITIES . Inequalities 92-93.
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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.