University Algebra: Embracing a Logical Development of the Science with Numerous Graded ExamplesA.S. Barnes, 1889 - 320 páginas |
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Página 11
... are of three kinds . signs of operation , signs of relation , and signs of abbre viation . 4. The Signs of Operation are the following : 1st DEFINITIONS AND EXPLANATION OF SIGNS . 11 Definitions and Explanation of Terms.
... are of three kinds . signs of operation , signs of relation , and signs of abbre viation . 4. The Signs of Operation are the following : 1st DEFINITIONS AND EXPLANATION OF SIGNS . 11 Definitions and Explanation of Terms.
Página 15
... term , unconnected with any other by the signs or monomials . - Thus , 3a2 , 7a2bc , are 10. A Polynomial is a ... term is the number of its literal factors . Thus , the term 3a is of the first degree , because it con tains one literal ...
... term , unconnected with any other by the signs or monomials . - Thus , 3a2 , 7a2bc , are 10. A Polynomial is a ... term is the number of its literal factors . Thus , the term 3a is of the first degree , because it con tains one literal ...
Página 16
... terms Sa3bx and y3z are homo geneous , as are the terms a3b2c and 7x3y3 . 13. A Polynomial is homogeneous when all of its terms are homogeneous . Thus , the polynomial a3bc - 7ax + 363c2 is homogeneous , whilst the polynomial 8c3b -7a2c ...
... terms Sa3bx and y3z are homo geneous , as are the terms a3b2c and 7x3y3 . 13. A Polynomial is homogeneous when all of its terms are homogeneous . Thus , the polynomial a3bc - 7ax + 363c2 is homogeneous , whilst the polynomial 8c3b -7a2c ...
Página 18
... term , any more than the sum of 3 pounds and 4 feet ; the sum is indicated , however , by writing the quantities one after the other , with their proper signs ; thus , 3ac2 + 4b2 . 18. To deduce a rule for adding similar terms , let us ...
... term , any more than the sum of 3 pounds and 4 feet ; the sum is indicated , however , by writing the quantities one after the other , with their proper signs ; thus , 3ac2 + 4b2 . 18. To deduce a rule for adding similar terms , let us ...
Página 19
... terms and of the negative terms separately ; subtract the less sum from , the greater , prefixing the sign of the greater ; then annex to this result the literal part . 19. In adding polynomials together , which contain several groups ...
... terms and of the negative terms separately ; subtract the less sum from , the greater , prefixing the sign of the greater ; then annex to this result the literal part . 19. In adding polynomials together , which contain several groups ...
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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.