University Algebra: Embracing a Logical Development of the Science with Numerous Graded ExamplesA.S. Barnes, 1889 - 320 páginas |
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Página ii
... Written Arithmetic . - A practical introduction to the whole subject . Theory subordinated to Practice . Davies ' Practical Arithmetic . * - The most successful combination of Theory and Practice , clear , exact , brief , and ...
... Written Arithmetic . - A practical introduction to the whole subject . Theory subordinated to Practice . Davies ' Practical Arithmetic . * - The most successful combination of Theory and Practice , clear , exact , brief , and ...
Página 12
... written be- tween two quantities , it indicates that the first is to be divided by the second . Thus , the expression , p , indi- cates that p is to be divided by q . The operation may also be expressed by writing one quantity over the ...
... written be- tween two quantities , it indicates that the first is to be divided by the second . Thus , the expression , p , indi- cates that p is to be divided by q . The operation may also be expressed by writing one quantity over the ...
Página 13
... written over a quantity , the expo nent 1 is always understood . When no index is written over the radical sign , the index 2 is understood . 7th . The sign , is sometimes called the positive sign , and quantities before which it is ...
... written over a quantity , the expo nent 1 is always understood . When no index is written over the radical sign , the index 2 is understood . 7th . The sign , is sometimes called the positive sign , and quantities before which it is ...
Página 14
... written between two quantities , it indicates that they are unequal , the greater one being placed at the opening of the sign . Thus , the expressions , a > b , c < d , indicate that a is greater than b , and that c is less than d . The ...
... written between two quantities , it indicates that they are unequal , the greater one being placed at the opening of the sign . Thus , the expressions , a > b , c < d , indicate that a is greater than b , and that c is less than d . The ...
Página 15
... written before a quantity . to show how many times it is to be taken additively . Thus , the expression , 3a2 , is equivalent to a2 + a2 + a2 . The number 3 is the coefficient of a2 . The coefficient may be either numerical or literal ...
... written before a quantity . to show how many times it is to be taken additively . Thus , the expression , 3a2 , is equivalent to a2 + a2 + a2 . The number 3 is the coefficient of a2 . The coefficient may be either numerical or literal ...
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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.