The elements of algebraOliver & Boyd, 1857 - 95 σελίδες |
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Αποτελέσματα 1 - 5 από τα 11.
Σελίδα 2
... compound quantity consists of more than one term , connected by the sign + or - . Thus a + b , a + bx — 6b2x , • When no number is prefixed the coefficient 1 is understood . and 4a + 2ab - 3a2x - 4ab b2x , DEFINITIONS .
... compound quantity consists of more than one term , connected by the sign + or - . Thus a + b , a + bx — 6b2x , • When no number is prefixed the coefficient 1 is understood . and 4a + 2ab - 3a2x - 4ab b2x , DEFINITIONS .
Σελίδα 3
Archibald Montgomerie. and 4a + 2ab - 3a2x - 4ab b2x , are compound quantities : the first is called a binomial , the second a trinomial , and the third a polynomial . 11. When any operation is to be performed on a com- pound quantity ...
Archibald Montgomerie. and 4a + 2ab - 3a2x - 4ab b2x , are compound quantities : the first is called a binomial , the second a trinomial , and the third a polynomial . 11. When any operation is to be performed on a com- pound quantity ...
Σελίδα 7
... compound . Multiply each of its terms by the other factor . 20. When both factors are compound . Multiply each term of the multiplicand by each term of the multiplier , and add the partial products , as in Arithmetic . Multiply ...
... compound . Multiply each of its terms by the other factor . 20. When both factors are compound . Multiply each term of the multiplicand by each term of the multiplier , and add the partial products , as in Arithmetic . Multiply ...
Σελίδα 9
... compound quantity and the divisor a simple one ; divide each term of the dividend by the divisor . 23. When the divisor is a compound quantity ; arrange , if possible , the terms of the divisor and dividend according to the powers of ...
... compound quantity and the divisor a simple one ; divide each term of the dividend by the divisor . 23. When the divisor is a compound quantity ; arrange , if possible , the terms of the divisor and dividend according to the powers of ...
Σελίδα 16
... compound quantity . ( 1. ) Divide the one given quantity by the other , using as divisor the one which is of lower dimensions , if the dimensions be different . ( 2. ) If there be a remainder , divide the divisor by it . ( 3. ) If there ...
... compound quantity . ( 1. ) Divide the one given quantity by the other , using as divisor the one which is of lower dimensions , if the dimensions be different . ( 2. ) If there be a remainder , divide the divisor by it . ( 3. ) If there ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
2ab+b² a+b+c a²+2ab+b² a²+2ax a²x² annex arithmetical series ax² binomial binomial theorem common denominator common difference common ratio compound quantity consecutive numbers cube root deno denote the number Divide divisor double equal equation contains EXERCISES expressed Extract the square factor Find a number find the Greatest Find the number Find the sum following quantities geometric means GEOMETRICAL PROGRESSION given quantity Greatest Common Measure Hence Least Common Multiple letters miles per hour mixed quantities multiplied negative number of balls number of combinations number of permutations number of terms numbers whose sum numerator and denominator Prove QUADRATIC EQUATIONS quotient remainder shillings sign changed simple quantity square root subtracting surd t₁ things taken third total number transposing travelled unknown quantity
Δημοφιλή αποσπάσματα
Σελίδα 59 - To divide a given straight line into two parts, so that the rectangle contained by the -whole, and one of the parts, may be equal to the square of the other part.
Σελίδα 86 - The fore-wheel of a carriage makes six revolutions more than the hind-wheel in going 120 yards ; but if the circumference of each wheel be increased one yard, it will make only four revolutions more than the hind-wheel in going the same distance.
Σελίδα 58 - Divide the number 24 into two such parts, that their product shall be to the sum of their squares, as 3 to 10.
Σελίδα 16 - If the numerator and denominator of a fraction be both multiplied or both divided by the same number, the value of the fraction is not altered.
Σελίδα 42 - Divide the first term of the remainder by three times the square of the first term of the root, and write the result as the next term of the root.
Σελίδα 9 - A power of a quantity is divided by any other power of the same quantity by subtracting the index of the divisor from that of the dividend, the quotient being that power of the quantity whose index is the remainder so obtained.
Σελίδα 64 - From the preceding, it appears, that the sum of the extremes is equal to the sum of any other two terms equally distant from the extremes.
Σελίδα 39 - ... be divided by the number of terms to that place, it will give the coefficient of the term next following.
Σελίδα 42 - Take the root of the first term, for the first term of the required root...
Σελίδα 38 - A man was hired 50 days on these conditions. — that, for every day he worked, he should receive $ '75, and, for every day he was idle, he should forfeit $ '25 ; at the expiration of the time, he received $ 27'50 ; how many days did he work...