University Algebra: Embracing a Logical Development of the Science with Numerous Graded ExamplesA.S. Barnes, 1889 - 320 páginas |
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Página vi
... containing One Unknown Quantity .. Clearing of Fractions .. Transposing ... Solution of Equations Problems ..... . Equations of the First Degree , containing Two Unknown Quantities Elimination . Problems . Discussion of Problems ...
... containing One Unknown Quantity .. Clearing of Fractions .. Transposing ... Solution of Equations Problems ..... . Equations of the First Degree , containing Two Unknown Quantities Elimination . Problems . Discussion of Problems ...
Página vii
... containing but One Unknown Quantity 189 Trinomial Equations .. 197 Problems ...... 200 General Properties of Equations of Second Degree . 207 General Discussion ... 211 Problem of the Lights .... 213 Equations involving several Unknown ...
... containing but One Unknown Quantity 189 Trinomial Equations .. 197 Problems ...... 200 General Properties of Equations of Second Degree . 207 General Discussion ... 211 Problem of the Lights .... 213 Equations involving several Unknown ...
Página 16
... contain the same letters , and each letter must have the same exponent in both . The terms 8a2b and 7ab2 contain the same letters , but are not similar . 14. The Reciprocal of a quantity is 1 divided by that quantity : thus , 1 1 a ...
... contain the same letters , and each letter must have the same exponent in both . The terms 8a2b and 7ab2 contain the same letters , but are not similar . 14. The Reciprocal of a quantity is 1 divided by that quantity : thus , 1 1 a ...
Página 19
... contain several groups of similar quantities , it will be found more convenient to write them down , so that each group of similar quantities may fall in a column by itself . We may , therefore , write the following rule for the ad ...
... contain several groups of similar quantities , it will be found more convenient to write them down , so that each group of similar quantities may fall in a column by itself . We may , therefore , write the following rule for the ad ...
Página 49
... contain all the factors common to the two polynomials . In the same way , if the second polynomial , or any multiple of it , be divided by the first remainder , the second remainder will contain all the factors common to the polynomials ...
... contain all the factors common to the two polynomials . In the same way , if the second polynomial , or any multiple of it , be divided by the first remainder , the second remainder will contain all the factors common to the polynomials ...
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Términos y frases comunes
algebraic Arithmetic ax² Binomial Formula Clearing of fractions coefficients common difference containing contrary signs cube root Davies denominator denote the number distance dividend divisible equal roots equation whose roots EXAMPLES exponent expressions Extract the square factors Find the cube Find the fourth Find the greatest Find the square following RULE geometrical progression given equation greatest common divisor Hence imaginary indicated irreducible fraction last term least common multiple Let x denote logarithm miles monomial Multiplying both members negative nth root number of terms operation partial fractions polynomial positive preceding problem proportion quotient radical sign real roots Reduce remainder resulting equation roots equal second degree second member second term solved square root STURM'S THEOREM Substituting subtract third Transform the equation Transposing travels unknown quantity Whence whole number write X₁
Pasajes populares
Página 258 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 255 - THE LOGARITHM: of a number is the exponent of the power to which it is necessary to raise a fixed number, to produce the given number. The fixed number is called the base of the system.
Página 136 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Página 36 - Divide the 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 whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 81 - 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 231 - If four quantities are in proportion, they will be in proportion by COMPOSITION...
Página 72 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.