A Treatise on AlgebraHarper & brothers, 1855 - 316 σελίδες |
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Αποτελέσματα 1 - 5 από τα 14.
Σελίδα 4
... denote the addition of two or more numbers . Thus , 5 + 3 signifies that we must add 3 to the number 5 , in which case the result is 8. In the same manner , 11 + 6 is equal to 17 ; 14 + 10 is equal to 24 , & c . We also make use of the ...
... denote the addition of two or more numbers . Thus , 5 + 3 signifies that we must add 3 to the number 5 , in which case the result is 8. In the same manner , 11 + 6 is equal to 17 ; 14 + 10 is equal to 24 , & c . We also make use of the ...
Σελίδα 5
... denote the multiplication of two or more numbers . Thus , 3x5 signi- fies that 3 is to be multiplied by 5 , making 15. In like man- ner , axb signifies a multiplied by b ; and axb × c signifies the continued product of the numbers ...
... denote the multiplication of two or more numbers . Thus , 3x5 signi- fies that 3 is to be multiplied by 5 , making 15. In like man- ner , axb signifies a multiplied by b ; and axb × c signifies the continued product of the numbers ...
Σελίδα 6
... denotes that they are equal to each other . Thus , 7 + 6 = 13 signifies that the sum of 7 and 6 is equal to 13. So ... denotes that one of them is greater than the other , the opening of the sign being turned toward the greater number ...
... denotes that they are equal to each other . Thus , 7 + 6 = 13 signifies that the sum of 7 and 6 is equal to 13. So ... denotes that one of them is greater than the other , the opening of the sign being turned toward the greater number ...
Σελίδα 7
... denotes that its root is to be extracted Thus , 9 , or simply √9 , denotes the square root of 9 , which is 3 . 64 denotes the cube root of 64 , which is 4 . 16 denotes the fourth root of 16 , which is 2 . So , also , Va , or simply va ...
... denotes that its root is to be extracted Thus , 9 , or simply √9 , denotes the square root of 9 , which is 3 . 64 denotes the cube root of 64 , which is 4 . 16 denotes the fourth root of 16 , which is 2 . So , also , Va , or simply va ...
Σελίδα 8
... denotes that c only is to be multiplied by d . When the parenthesis is used , the sign of multiplication is ... denote therefore or consequently . A few other symbols are employed in algebra , in addition to those here enumerated , which ...
... denotes that c only is to be multiplied by d . When the parenthesis is used , the sign of multiplication is ... denote therefore or consequently . A few other symbols are employed in algebra , in addition to those here enumerated , which ...
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
according to Art algebraic arithmetical progression binomial coefficients common denominator Completing the square continued fraction cube root difference Divide the number dividend divisible dollars equa equation containing EXAMPLES exponent expression extracting the square factors figure Find the square find the values following RULE four quantities fourth power fourth root geometrical progression greater greatest common divisor Hence infinite series last term less letters taken logarithm method miles monomial multiplied negative nth root number of combinations number of permutations number of terms obtain original equation polynomial preceding Prob problem quadratic equations quotient radical quantities radical sign ratio Reduce remainder represent Required the cube Required the fourth Required the number Required the square Required the sum second degree second term simple form square root subtract surd THEOREM three numbers tion tities unity unknown quantity values of x Whence whole number zero
Δημοφιλή αποσπάσματα
Σελίδα 229 - 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.
Σελίδα 28 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.
Σελίδα 231 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend. 5. Double the whole root already found for a new divisor, and continue the operation as before, until all the periods are brought down.
Σελίδα 76 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...
Σελίδα 141 - A vintner draws a certain quantity of wine out of a full vessel that holds 256 gallons ; and then filling the vessel with water, draws off the same quantity of liquor as before, and so on for four draughts, when there were only 81 gallons of pure wine left. How much wine did he draw each time ? 50.
Σελίδα 308 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Σελίδα 13 - Add all the positive coefficients together, and oho all those that are negative ; subtract the least of these results from the greater ; to the difference annex the common letter or letters, and prefix the sign of the greater sum. Thus, instead of 7a— 4a, we may write 3a, since these two expressions obviously have the same value.
Σελίδα 196 - Multiply the last term by the ratio, from the product subtract the first term, and divide the remainder by the ratio, less 1 ; the quotient will be the sum of the series required.
Σελίδα 334 - The number of deaths in a besieged garrison amounted to 6 daily ; and allowing for this diminution, their stock of provisions was sufficient to last 8 days. But on the evening of the sixth day, 100 men were killed in a sally, and afterwards the mortality increased to 10 daily. Supposing the...
Σελίδα 28 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.