A Treatise on Algebra: Containing the Latest Improvements. Adapted to the Use of Schools and CollegesHarper & Brothers, 1846 - 503 sider |
Inni boken
Resultat 1-5 av 27
Side v
... Root of Polynomials Cube Root of Polynomials Square Root of Numbers A Square Root of a whole Number can not be a Fraction Property of prime Numbers Square Root of whole Numbers Square Root by Approximation Square Root of Fractions Square ...
... Root of Polynomials Cube Root of Polynomials Square Root of Numbers A Square Root of a whole Number can not be a Fraction Property of prime Numbers Square Root of whole Numbers Square Root by Approximation Square Root of Fractions Square ...
Side 4
... root of 9 is √93 , and √a2 = a , is the square root of a2 ; for in the former case 3 × 39 , and in the latter a × a = a3 . XI . The cube root of any expression is that quantity which , when multi- plied twice by itself , will produce ...
... root of 9 is √93 , and √a2 = a , is the square root of a2 ; for in the former case 3 × 39 , and in the latter a × a = a3 . XI . The cube root of any expression is that quantity which , when multi- plied twice by itself , will produce ...
Side 54
... cube root of any expression is that quantity which , mul- tiplied twice by itself , or taken three times as a factor , will produce the pro- posed expression . The fourth , or biquadrate , root of any expression is that quantity which ...
... cube root of any expression is that quantity which , mul- tiplied twice by itself , or taken three times as a factor , will produce the pro- posed expression . The fourth , or biquadrate , root of any expression is that quantity which ...
Side 55
... cube root of 4a2b3 , the operation will be indi- cated by writing the expression , V4a2b5 . Expressions of this nature are called surds , or , irrational quantities , or radi ... root of the product of any number of EX TRACTION OF ROOTS . 55.
... cube root of 4a2b3 , the operation will be indi- cated by writing the expression , V4a2b5 . Expressions of this nature are called surds , or , irrational quantities , or radi ... root of the product of any number of EX TRACTION OF ROOTS . 55.
Side 56
... root can not be exactly extracted , since 54 is not a perfect cube , and the exponents of a and c are not exactly divisible by 3 . We have , ( 1 ) √√ / 54a + b3c2 = √ 27 × 2 × a3 × a × b3 × c2 = √27 × Va3 × √63x V2ac2 by the ...
... root can not be exactly extracted , since 54 is not a perfect cube , and the exponents of a and c are not exactly divisible by 3 . We have , ( 1 ) √√ / 54a + b3c2 = √ 27 × 2 × a3 × a × b3 × c2 = √27 × Va3 × √63x V2ac2 by the ...
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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ... Charles William Hackley Uten tilgangsbegrensning - 1846 |
A Treatise on Algebra, Containing the Latest Improvements Charles William Hackley Uten tilgangsbegrensning - 1850 |
A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ... Charles William Hackley Uten tilgangsbegrensning - 1847 |
Vanlige uttrykk og setninger
algebraic arithmetical arithmetical progression becomes binomial binomial theorem called change the signs coefficients column common denominator common divisor Completing the square consequently courier cube root decimal difference divide dividend division elimination equa EXAMPLE exponent expression Extract the square figures formula functions geometrical progression give given equation given number greater greatest common divisor greatest common measure Hence imaginary roots indeterminate inequation infinite least common multiple letters logarithm manner method modulus monomial multiplied negative nth power nth root number of terms number of variations obtain perfect square permutations polynomial present value problem proportion proposed equation quadratic quadratic equation quotient radical ratio real roots reduce remainder represent result rule second term solution square root substituting subtract successive suppose theorem third tion Transposing unknown quantity V₁ Whence whole number
Populære avsnitt
Side 76 - Multiply the divisor thus increased, by the second term of the root, and subtract the product from the remainder.
Side 23 - 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.
Side 237 - B set out from two towns, which were distant 247 miles, and travelled the direct road till they met. A went 9 miles a day ; and the number of days, at the end of which they met, was greater by 3 than the number of miles which B went in a day. How many miles did each go ? 17.
Side 261 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Side 122 - Proportion is an equality of ratios. Thus, if a, b, c, d are four quantities, such that a, when divided by b, gives the same quotient as c when divided by d, then a, b, c, d are called proportionals, and we say that a is to b as c is to d...
Side 107 - There will be as many figures in the root as there are periods in the given number.
Side 236 - A's journey. How far did each travel ? A 72 miles. B 54 miles. 9. A company at a tavern had £8 15s. to pay for their reckoning ; but before the bill was settled, two of them left the room, and then those who remained had 10s. apiece more to pay than before : how many were there in the company ? Ans. 7.
Side 237 - There are two square buildings, that are paved with stones, a foot square each. The side of one building exceeds that of the other by 12 feet, and both their pavements taken together contain 2120 stones. What are the lengths of them separately ? Ans.
Side 69 - To divide powers of the same base, subtract the exponent of the divisor from the exponent of the dividend.
Side 49 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.