University Algebra: Embracing a Logical Development of the Science with Numerous Graded ExamplesA.S. Barnes, 1889 - 320 páginas |
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Página vii
... Progression . Indeterminate Coefficients . Logarithms ..... General Principles . General Properties .... ....... 227 234 235 239 246 CHAPTER XI . 255 257 263 CHAPTER XII . PARD General Theory of Eqiations ... 256 CONTENTS . vii.
... Progression . Indeterminate Coefficients . Logarithms ..... General Principles . General Properties .... ....... 227 234 235 239 246 CHAPTER XI . 255 257 263 CHAPTER XII . PARD General Theory of Eqiations ... 256 CONTENTS . vii.
Página 254
... series , as also the method of summing series , will be explained in the Appendix , after the general demon . stration of the Binomial Formula . CHAPTER XI . LOGARITHMS . 182. THE LOGARITHM of a 254 ELEMENTS OF ALGEBRA .
... series , as also the method of summing series , will be explained in the Appendix , after the general demon . stration of the Binomial Formula . CHAPTER XI . LOGARITHMS . 182. THE LOGARITHM of a 254 ELEMENTS OF ALGEBRA .
Página 255
... LOGARITHMS . 182. 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 num- ber is called the base of the system . 183. If we denote any positive ...
... LOGARITHMS . 182. 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 num- ber is called the base of the system . 183. If we denote any positive ...
Página 256
... logarithms lie between 1 and 2 ; that is , they are equal to 1 plus a decimal . The logarithms of all numbers between 100 and 1000 , lie between 2 and 3 ; that is , they are equal to 2 plus a decimal . In general , a logarithm is ...
... logarithms lie between 1 and 2 ; that is , they are equal to 1 plus a decimal . The logarithms of all numbers between 100 and 1000 , lie between 2 and 3 ; that is , they are equal to 2 plus a decimal . In general , a logarithm is ...
Página 259
... logarithm of the number from a table , and multiply it by the exponent ; then find the number corresponding to the resulting logarithm , and it will be the power required . 4. To extract any root of a number . Find the logarithm of the ...
... logarithm of the number from a table , and multiply it by the exponent ; then find the number corresponding to the resulting logarithm , and it will be the power required . 4. To extract any root of a number . Find the logarithm of the ...
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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.