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 |
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Αποτελέσματα 1 - 5 από τα 53.
Σελίδα 9
... letters and other characters used in general analysis , and graphic representations or drawings used in geometrical investigations . 2d . Symbols of Operation , consisting of the signs or characters employed to indicate those ...
... letters and other characters used in general analysis , and graphic representations or drawings used in geometrical investigations . 2d . Symbols of Operation , consisting of the signs or characters employed to indicate those ...
Σελίδα 10
... letters of the alphabet , as a , b , c , d . 6. Unknown Quantities are those whose values are to be deter- mined ; they are represented by the final letters of the alphabet , as u , X , Y , 2 . 7. The small italic letters just given are ...
... letters of the alphabet , as a , b , c , d . 6. Unknown Quantities are those whose values are to be deter- mined ; they are represented by the final letters of the alphabet , as u , X , Y , 2 . 7. The small italic letters just given are ...
Σελίδα 11
... letters , is generally indicated by writing the factors one after another with- out any intervening sign . Thus , 3abc signifies the same as 3 × a × bxc , or 3.abc . It is evident that this notation cannot be employed when the several ...
... letters , is generally indicated by writing the factors one after another with- out any intervening sign . Thus , 3abc signifies the same as 3 × a × bxc , or 3.abc . It is evident that this notation cannot be employed when the several ...
Σελίδα 12
... letter or quantity over which it is placed . Thus in a3 , 5 may be called the exponent of a . 14. The Sign of Evolution , or Radical Sign , is the character V. It indicates that some root of the quantity after it is to be ex- tracted ...
... letter or quantity over which it is placed . Thus in a3 , 5 may be called the exponent of a . 14. The Sign of Evolution , or Radical Sign , is the character V. It indicates that some root of the quantity after it is to be ex- tracted ...
Σελίδα 14
... letters , affected with the same exponents ; the signs and coefficients may differ , and the terms still be similar . Thus , 3x and 7x2 are similar terms ; also , 2md ' and -5md ' are similar terms . 30. Dissimilar Terms are those which ...
... letters , affected with the same exponents ; the signs and coefficients may differ , and the terms still be similar . Thus , 3x and 7x2 are similar terms ; also , 2md ' and -5md ' are similar terms . 30. Dissimilar Terms are those which ...
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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.