College AlgebraScott, Foresman, 1901 - 777 páginas |
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Página v
... operations are required to obey . In the development of the principles of the number system of Common Algebra , emphasis is placed upon the principle of the 2 permanence of form , the discussion of the irrational , V gift Whof . W. W. ...
... operations are required to obey . In the development of the principles of the number system of Common Algebra , emphasis is placed upon the principle of the 2 permanence of form , the discussion of the irrational , V gift Whof . W. W. ...
Página vi
James Harrington Boyd. permanence of form , the discussion of the irrational , the theory of fractional exponents ... discussions are given of equivalent systems of simultaneous quadratic equations , of the graphs of their solutions and ...
James Harrington Boyd. permanence of form , the discussion of the irrational , the theory of fractional exponents ... discussions are given of equivalent systems of simultaneous quadratic equations , of the graphs of their solutions and ...
Página ix
... Addition of Monomials • Subtraction of Algebraic Numbers , Rule Subtraction of Monomials 11 12 13 14 15 17 18 19 21 24 282852 27 28 29 30 31 32 35 36 CHAPTER III SUBTRACTION AND THE NEGATIVE INTEGER - GENERALIZED DISCUSSION ix.
... Addition of Monomials • Subtraction of Algebraic Numbers , Rule Subtraction of Monomials 11 12 13 14 15 17 18 19 21 24 282852 27 28 29 30 31 32 35 36 CHAPTER III SUBTRACTION AND THE NEGATIVE INTEGER - GENERALIZED DISCUSSION ix.
Página x
James Harrington Boyd. CHAPTER III SUBTRACTION AND THE NEGATIVE INTEGER - GENERALIZED DISCUSSION Numerical Subtraction 39 Determinateness of Numerical Subtraction - Formal Rules of Subtraction 40 Zero and the Negative Limitation of ...
James Harrington Boyd. CHAPTER III SUBTRACTION AND THE NEGATIVE INTEGER - GENERALIZED DISCUSSION Numerical Subtraction 39 Determinateness of Numerical Subtraction - Formal Rules of Subtraction 40 Zero and the Negative Limitation of ...
Página xii
... Discussion of Cases ab ' — ba ' 0 , etc. - Homogeneous Equations . Two Equations of the First Degree which have a Common Root 164 175 176 180 182 187 190 192 193 198 • 199 200 201 204 207 212 218 230 231 232 233 236 237 CHAPTER VIII ...
... Discussion of Cases ab ' — ba ' 0 , etc. - Homogeneous Equations . Two Equations of the First Degree which have a Common Root 164 175 176 180 182 187 190 192 193 198 • 199 200 201 204 207 212 218 230 231 232 233 236 237 CHAPTER VIII ...
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Términos y frases comunes
A₁ algebraic Arithmetic ax² b₁ binomial Binomial Theorem c₁ CHAPTER coefficients common convergent corresponding cube root decimal definition denominator determinant difference divided division divisor equal equivalent example exponent expression factors figures Find the number formula fraction given equation greater Hence imaginary increases inequality integer irrational less limit log 1+r logarithm mantissa mathematical induction monomial multiplied negative number nth root number of terms P₁ partial fractions polynomial positive integer positive number problem quadratic quadratic equation quotient rational remainder result rule satisfy second degree second member solution Solve the equations square root substituting subtraction Suppose surd symbols system of equations theorem third tion triangle trinomial unknown numbers unknown quantities Va² zero
Pasajes populares
Página 205 - Nos. 1 and 2, 3 and 4, 5 and 6, 7 and 8, 9 and 10, 11 and 12.
Página 666 - Q(x) to obtain a quotient (polynomial of the form -Q ) plus a rational function (remainder divided by the divisor) in which the degree of the numerator is less than the degree of the denominator.
Página 79 - Raise the absolute value of the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power.
Página 71 - 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.
Página 588 - What will $ 100 amount to in 7 years with interest at 8% per annum, compounded semi-annually ? 3. In how many years will a sum of money double itself at 6%, compounded annually ? 4.
Página 181 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour ? 43.
Página 519 - In any proportion, the terms are in proportion by Alternation; that is, the first term is to the third as the second term is to the fourth.
Página 520 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Página 524 - The first of four magnitudes is said to have the same ratio to the second, that the third has to the fourth, when any equimultiples...
Página 588 - June, 1889.) 1. In how many years will a sum of money double itself at 4 per cent., interest being compounded semi-annually ? 2.