First Course in Algebra: With Eight Thousand Examples Including Three Thousand Mental ExercisesLittle, Brown, 1908 - 664 σελίδες |
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Αποτελέσματα 1 - 5 από τα 84.
Σελίδα 93
... derived , one from the other , by interchanging the letters of one or more pairs of letters . E. g . The terms x2yz , y2xz and 2xy are all of one type . The second expression may be obtained from the first by interchanging the letters x ...
... derived , one from the other , by interchanging the letters of one or more pairs of letters . E. g . The terms x2yz , y2xz and 2xy are all of one type . The second expression may be obtained from the first by interchanging the letters x ...
Σελίδα 150
... derive the identity a2 + b2 a2 + b2 . 9. An equality may be proved to be an identity , either by showing that one member may be reduced directly to the form of the other , or by showing that both members may be reduced to a common third ...
... derive the identity a2 + b2 a2 + b2 . 9. An equality may be proved to be an identity , either by showing that one member may be reduced directly to the form of the other , or by showing that both members may be reduced to a common third ...
Σελίδα 155
... derive from it an equivalent conditional equation in which the members are of such forms that the solution may be readily obtained . E. g . It may be seen that in the conditional equation x + 1 = 5 the unknown z must have the value 4 ...
... derive from it an equivalent conditional equation in which the members are of such forms that the solution may be readily obtained . E. g . It may be seen that in the conditional equation x + 1 = 5 the unknown z must have the value 4 ...
Σελίδα 156
... derived equations will be equivalent . - E. g . Performing the indicated operations we may reduce the first member of the conditional equation , 7 x + 8 − 2 ( 3 x + 4 ) = 10 x − 5 ( 2 x − 1 ) , to x , and the second member to 5. That ...
... derived equations will be equivalent . - E. g . Performing the indicated operations we may reduce the first member of the conditional equation , 7 x + 8 − 2 ( 3 x + 4 ) = 10 x − 5 ( 2 x − 1 ) , to x , and the second member to 5. That ...
Σελίδα 157
... derived equations A + CB + C or of ACB - C is also a solution of the original equation A = B. Hence , the two equations are equivalent , since no additional solution is gained by the transformation . 27. From the principle above we have ...
... derived equations A + CB + C or of ACB - C is also a solution of the original equation A = B. Hence , the two equations are equivalent , since no additional solution is gained by the transformation . 27. From the principle above we have ...
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Άλλες εκδόσεις - Προβολή όλων
First Course in Algebra: With Eight Thousand Examples Including Three ... Albert Harry Wheeler Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
First Course in Algebra (Classic Reprint) Albert Harry Wheeler Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a²b³ ab² Accordingly addition algebraic expressions arithmetic ax² chapter is read Check coefficient Commutative Law complete the square complex number conditional equation cube root derived equation dividend division equal equations containing equivalent equation exponent following expressions following proof fractional equation given equation given expressions graph greatest common divisor Hence highest common factor identity imaginary numbers indicated root integral equation literal equation lowest common multiple lowest terms MENTAL EXERCISE miles monomial multiplicand negative numbers negative units number or expression numerator and denominator numerical values operation original equation parentheses partial products polynomial positive numbers positive units Principle quadratic equation quadratic surds radicand rational number reduced remainder result solution Solve square root step substituting subtract surd whole number write x²y zero
Δημοφιλή αποσπάσματα
Σελίδα 124 - ... first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the divisor by this first term of the quotient, and subtract the resulting product from the dividend. Divide the first term of the remainder by the first term of the divisor, and write the result as the second term of the quotient. Multiply the divisor by this second term of the quotient, and subtract the product from the remainder previously obtained. Proceed with the...
Σελίδα 373 - Divide the first term of the remainder by twice the first term of the root, and add the quotient to the part of the root already found, and also to the trial-divisor.
Σελίδα 596 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Σελίδα 152 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Σελίδα 595 - If four magnitudes are in proportion, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.
Σελίδα 453 - The anti-cyclonic storms, which are areas of high barometric pressure, are characterized in their advance by colder, clearing weather. The circulation of the wind in a cyclone is spirally inward and in the direction opposite to the movement of the hands of a watch. The circulation of the air in an anti-cyclone, is outward, circulatory and in the same direction as the movement of the hands of a watch.
Σελίδα 358 - An observer standing 526 yards from the target and 300 yards from the marksman hears the bullet strike 3 seconds after he hears the report of the rifle.
Σελίδα 118 - When a quotient is expressed as described in Art. 16, by placing the divisor under the dividend with a line between them, it is called a, fraction; the dividend is called the numerator and the divisor the denominator of the fraction. Algebraic fractions do not differ essentially from arithmetical fractions, and the same principles are applicable to both.
Σελίδα 171 - Unite similar terms, and divide both members of the equation by the coefficient of the unknown number.
Σελίδα 251 - If the degree of the numerator is equal to, or greater than, that of the denominator, the preceding methods are inapplicable.