University Algebra: Embracing a Logical Development of the Science with Numerous Graded ExamplesA.S. Barnes, 1889 - 320 páginas |
Dentro del libro
Resultados 1-5 de 9
Página vii
... Imaginary Quantities ... Radical Equations ... 181 185 CHAPTER IX . Equations of Second Degree , containing but One Unknown Quantity 189 Trinomial Equations .. 197 Problems ...... 200 General Properties of Equations of Second Degree ...
... Imaginary Quantities ... Radical Equations ... 181 185 CHAPTER IX . Equations of Second Degree , containing but One Unknown Quantity 189 Trinomial Equations .. 197 Problems ...... 200 General Properties of Equations of Second Degree ...
Página viii
... Imaginary Roots ..... 291 292 297 300 Sturm's Theorem ... 802 APPENDIX . Principles employed in Factoring ...... 808 General Demonstration of Binomial Theorem . 814 Summation of Series .... 318 ELEMENTS OF ALGEBRA . INTRODUCTION , 1 ...
... Imaginary Roots ..... 291 292 297 300 Sturm's Theorem ... 802 APPENDIX . Principles employed in Factoring ...... 808 General Demonstration of Binomial Theorem . 814 Summation of Series .... 318 ELEMENTS OF ALGEBRA . INTRODUCTION , 1 ...
Página 153
... imaginary quantity . Thus , 4 , - a2 , & b2 are imaginary quanti ties . Every odd power of a negative quantity is itself nega ROOTS OF MONOMIALS . 153.
... imaginary quantity . Thus , 4 , - a2 , & b2 are imaginary quanti ties . Every odd power of a negative quantity is itself nega ROOTS OF MONOMIALS . 153.
Página 181
... IMAGINARY QUANTITIES . 137. An IMAGINARY QUANTITY is an indicated even root of a negative quantity . Thus , --- 4 √ 4 , √ 16 , V V ― a2 , are imaginary quantities . The rule deduced for ... IMAGINARY QUANTITIES . 181 Imaginary Quantities.
... IMAGINARY QUANTITIES . 137. An IMAGINARY QUANTITY is an indicated even root of a negative quantity . Thus , --- 4 √ 4 , √ 16 , V V ― a2 , are imaginary quantities . The rule deduced for ... IMAGINARY QUANTITIES . 181 Imaginary Quantities.
Página 182
... imaginary factor into itself , or what is the same , for raising the imaginary factor to a power whose exponent is equal to the number of factors . The first power of √ 1 , is -1 ; the second power , by the definition of square root ...
... imaginary factor into itself , or what is the same , for raising the imaginary factor to a power whose exponent is equal to the number of factors . The first power of √ 1 , is -1 ; the second power , by the definition of square root ...
Otras ediciones - Ver todas
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.