University Algebra: Embracing a Logical Development of the Science with Numerous Graded ExamplesA.S. Barnes, 1889 - 320 páginas |
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Página ii
... give the subject . Davies ' Legendre's Geometry . - Acknowledged the only satisfactory treatise of its grade . 300,000 copies have been sold . Davies ' Analytical Geometry and Calculus . - The shorter treatises . combined in one volume ...
... give the subject . Davies ' Legendre's Geometry . - Acknowledged the only satisfactory treatise of its grade . 300,000 copies have been sold . Davies ' Analytical Geometry and Calculus . - The shorter treatises . combined in one volume ...
Página 29
... give + , and unlike signs ; then reduce the result to the simplest form . ( 1. ) x2 + 2αx + a2 x + a 203 + 2αx2 + a2x ax2 + 2α2x + а3 EXAMPLES . ( 2. ) 2a1b + a3b2 - 2a2b 2ab2 23 + 3αx2 + 3a2x + a3 . 4a6b2 + 2a5b3 4a5b3 2a'b ' - 4a6b2 ...
... give + , and unlike signs ; then reduce the result to the simplest form . ( 1. ) x2 + 2αx + a2 x + a 203 + 2αx2 + a2x ax2 + 2α2x + а3 EXAMPLES . ( 2. ) 2a1b + a3b2 - 2a2b 2ab2 23 + 3αx2 + 3a2x + a3 . 4a6b2 + 2a5b3 4a5b3 2a'b ' - 4a6b2 ...
Página 31
... give the dividend . Its coefficient then must be such that , being multiplied by 7 , will give 56 , and the exponent of each letter which enters it must be such that , when added to the exponent of the same letter in the divisor , will ...
... give the dividend . Its coefficient then must be such that , being multiplied by 7 , will give 56 , and the exponent of each letter which enters it must be such that , when added to the exponent of the same letter in the divisor , will ...
Página 35
... gives a new dividend , which may be treated in the same way as the original one , and so on to the end of the process . For convenience of multiplication , the divisor is written on the right of the dividend , and the quotient under it ...
... gives a new dividend , which may be treated in the same way as the original one , and so on to the end of the process . For convenience of multiplication , the divisor is written on the right of the dividend , and the quotient under it ...
Página 39
... give rise to practical rules . These three may be translated as follows , since x and y are any quantities whatever : 1. The square of the sum of any two quantities , is equal to the square of the first , plus twice the product of first ...
... give rise to practical rules . These three may be translated as follows , since x and y are any quantities whatever : 1. The square of the sum of any two quantities , is equal to the square of the first , plus twice the product of first ...
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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.