New University Algebra: A Theoretical and Practical Treatise, Containing Many New and Original Methods and Applications, for Colleges and High SchoolsIvison, Phinney & Company, 1863 - 420 páginas |
Dentro del libro
Resultados 1-5 de 17
Página v
... Greatest Common Divisor . .52 Least Common Multiple ..60 FRACTIONS . Definitions and General Principles . .64 Reduction ... Addition ... Subtraction 66 74 .76 Multiplication Division .... 77 .79 Reduction of Complex Forms . .81 ...
... Greatest Common Divisor . .52 Least Common Multiple ..60 FRACTIONS . Definitions and General Principles . .64 Reduction ... Addition ... Subtraction 66 74 .76 Multiplication Division .... 77 .79 Reduction of Complex Forms . .81 ...
Página 52
... GREATEST COMMON DIVISOR . 97. A Common Divisor of two or more quantities is a quantity which will exactly divide each of them . 98. The Greatest Common Divisor of two or more quantities is the greatest quantity that will exactly divide ...
... GREATEST COMMON DIVISOR . 97. A Common Divisor of two or more quantities is a quantity which will exactly divide each of them . 98. The Greatest Common Divisor of two or more quantities is the greatest quantity that will exactly divide ...
Página 53
... common divisor can have an exponent greater than the least with which it enters the given quantities . Hence the ... greatest common divisor required . EXAMPLES FOR PRACTICE . 1. Find the greatest common divisor of a * —2a3x2 + ax ...
... common divisor can have an exponent greater than the least with which it enters the given quantities . Hence the ... greatest common divisor required . EXAMPLES FOR PRACTICE . 1. Find the greatest common divisor of a * —2a3x2 + ax ...
Página 54
... greatest common divisor is found in this case by a process of decomposing the quantities by division . But in order to deduce a rule for the method , it will be necessary first to establish certain principles relating to exact division ...
... greatest common divisor is found in this case by a process of decomposing the quantities by division . But in order to deduce a rule for the method , it will be necessary first to establish certain principles relating to exact division ...
Página 55
... greatest common divisor of two quantities bears to the parts of these quantities when decomposed by division . Suppose two polynomials to be arranged according to the powers of the same letter , and let A represent the greater and B the ...
... greatest common divisor of two quantities bears to the parts of these quantities when decomposed by division . Suppose two polynomials to be arranged according to the powers of the same letter , and let A represent the greater and B the ...
Contenido
66 | |
74 | |
81 | |
83 | |
89 | |
103 | |
118 | |
124 | |
130 | |
136 | |
145 | |
151 | |
157 | |
164 | |
172 | |
182 | |
189 | |
197 | |
204 | |
274 | |
283 | |
290 | |
298 | |
306 | |
308 | |
317 | |
323 | |
331 | |
340 | |
346 | |
353 | |
359 | |
370 | |
376 | |
388 | |
398 | |
405 | |
416 | |
Otras ediciones - Ver todas
Términos y frases comunes
added algebraic quantity arithmetical progression binomial factors clearing of fractions coefficients cube root degree denote derived polynomial dividend division dollars EXAMPLES FOR PRACTICE exponent expression figure Find the cube Find the logarithm Find the sum find the values following RULE formula fourth geometrical progression geometrical series given equation given number given quantities greater greatest common divisor identical equation imaginary indicated inequality irreducible fraction last term least common multiple less letters minus sign monomial Multiply negative quantity nth root number of terms obtain OPERATION partial fractions permutations positive roots problem proportion quadratic quadratic equation quotient radical sign rational Reduce remainder represent required root result second member second term square root Sturm's Theorem subtracted suppose surd taken third three numbers tion transformed equation transposing trial divisor unknown quantity whence whole number X₁ zero
Pasajes populares
Página 209 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Página 86 - Any term may be transposed from one member of an equation to the other by changing its sign (1, 2).
Página 66 - To reduce a fraction to its lowest terms. A Fraction is in its lowest terms when the numerator and denominator are prime to each other. 1. Reduce - to its lowest terms.
Página 178 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Página 169 - Subtract the square number from the left hand period, and to the remainder bring down the next period for a dividend. III. Double the root already found for a divisor ; seek how many times the divisor is contained...
Página 31 - That the exponent of any letter in the product is equal to the sum of its exponents in the two factors.
Página 77 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Página 52 - Measure, of two or more quantities, is the greatest quantity that will exactly divide each of them.
Página 266 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D.
Página 169 - 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.