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 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 19.
Σελίδα 50
... trial , or by its law of formation . To express the prime factors of a monomial , we have only to factor the coefficient , and repeat each letter as many times as there are units in its exponent . Thus , 15a'x'y = 3X5Xaaaxxy 95. The ...
... trial , or by its law of formation . To express the prime factors of a monomial , we have only to factor the coefficient , and repeat each letter as many times as there are units in its exponent . Thus , 15a'x'y = 3X5Xaaaxxy 95. The ...
Σελίδα 169
... trial divisor . From these principles and illustrations , we have the following RULE . I. Point off the given number ... trial divisor ; divide the dividend , exclusive of its right- hand figure , by the trial divisor , and write the ...
... trial divisor . From these principles and illustrations , we have the following RULE . I. Point off the given number ... trial divisor ; divide the dividend , exclusive of its right- hand figure , by the trial divisor , and write the ...
Σελίδα 171
... trial divisor as usual , but omit to annex to it the trial figure of the root , reject one figure from the right to form each subsequent divisor , and in multiplying regard the right - hand figure of each contracted divisor as redundant ...
... trial divisor as usual , but omit to annex to it the trial figure of the root , reject one figure from the right to form each subsequent divisor , and in multiplying regard the right - hand figure of each contracted divisor as redundant ...
Σελίδα 172
... trial divisor , 3a2 , we add a correction , 3ab + b2 , or ( 3a + b ) b , the result will be a complete divisor , which multiplied by b , will give the last three terms of the power . Hence , the whole operation of extracting the root ...
... trial divisor , 3a2 , we add a correction , 3ab + b2 , or ( 3a + b ) b , the result will be a complete divisor , which multiplied by b , will give the last three terms of the power . Hence , the whole operation of extracting the root ...
Σελίδα 173
... Trial divisor , First factor of correction , Correction of trial divisor , Complete divisor , 3a3 3a + b ( a ) 3ab + b❜ 3a2 + 3ab + b2 238. Next , suppose there are three terms in the root , as a + b + c . Assumes a + b ; then s + c ...
... Trial divisor , First factor of correction , Correction of trial divisor , Complete divisor , 3a3 3a + b ( a ) 3ab + b❜ 3a2 + 3ab + b2 238. Next , suppose there are three terms in the root , as a + b + c . Assumes a + b ; then s + c ...
Περιεχόμενα
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 | |
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 86 - Any term may be transposed from one member of an equation to the other by changing its sign (1, 2).
Σελίδα 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.
Σελίδα 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...
Σελίδα 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...
Σελίδα 31 - That the exponent of any letter in the product is equal to the sum of its exponents in the two factors.
Σελίδα 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.
Σελίδα 52 - Measure, of two or more quantities, is the greatest quantity that will exactly divide each of them.
Σελίδα 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.
Σελίδα 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.