University Algebra: Embracing a Logical Development of the Science with Numerous Graded ExamplesA.S. Barnes, 1889 - 320 páginas |
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Página 11
... third , & c . 3. The signs employed in Algebra 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 ...
... third , & c . 3. The signs employed in Algebra 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 ...
Página 19
... third example , the quantity a2bc is taken posi- tively , 47 , or 11 times , and negatively , 25 , or 7 times , and the sum is 11 - 7 , or 4 times a2bc . In the fourth example , the quantity a2bc is taken , additively , 53 , or 8 times ...
... third example , the quantity a2bc is taken posi- tively , 47 , or 11 times , and negatively , 25 , or 7 times , and the sum is 11 - 7 , or 4 times a2bc . In the fourth example , the quantity a2bc is taken , additively , 53 , or 8 times ...
Página 22
... third , which , being added to the second , will produce the first . The first is called the Minuend , the second the Sub- trahend , and the third the Remainder , or the Difference . - 22. To demonstrate a rule for Subtraction , let the ...
... third , which , being added to the second , will produce the first . The first is called the Minuend , the second the Sub- trahend , and the third the Remainder , or the Difference . - 22. To demonstrate a rule for Subtraction , let the ...
Página 31
... third , which being multiplied by the second , will produce the first . The first is called the Dividend , the second the Divisor , and the third the Quotient . Division is the converse of Multiplication . In it we have given the ...
... third , which being multiplied by the second , will produce the first . The first is called the Dividend , the second the Divisor , and the third the Quotient . Division is the converse of Multiplication . In it we have given the ...
Página 40
... third rule , we have , as before , - = 4a2 - 12ax + 9x2 . ( 2a + 3x ) ( 2α — 3x ) - = 4a2 - 9x2 . In like manner , solve the following examples : 4. Find the square of ax + by . Ans . a2x2 + 2abxy + b2y3 . 5. Find the square of 7x2 + ...
... third rule , we have , as before , - = 4a2 - 12ax + 9x2 . ( 2a + 3x ) ( 2α — 3x ) - = 4a2 - 9x2 . In like manner , solve the following examples : 4. Find the square of ax + by . Ans . a2x2 + 2abxy + b2y3 . 5. Find the square of 7x2 + ...
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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.