Elements of AlgebraUniversity Press, 1818 - 276 sider |
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Side 4
... consequently 2x ab . We conclude then that half of 2x or x = a b 2 2 This last result , being translated into ordinary language , by substituting the words and phrases denoted by the letters and signs which it contains , gives the rule ...
... consequently 2x ab . We conclude then that half of 2x or x = a b 2 2 This last result , being translated into ordinary language , by substituting the words and phrases denoted by the letters and signs which it contains , gives the rule ...
Side 5
... consequently 2x b = a . - This result makes it evident that 2x exceeds the quantity a by the quantity b , and that consequently 2x = Preliminary Remarks . 5.
... consequently 2x b = a . - This result makes it evident that 2x exceeds the quantity a by the quantity b , and that consequently 2x = Preliminary Remarks . 5.
Side 6
Silvestre François Lacroix. by the quantity b , and that consequently 2x = a + b . By taking the half of 2x and of the quantity which is equal to it , we obtain for the value of x a b x = + 2 2 which gives the same rule as the above for ...
Silvestre François Lacroix. by the quantity b , and that consequently 2x = a + b . By taking the half of 2x and of the quantity which is equal to it , we obtain for the value of x a b x = + 2 2 which gives the same rule as the above for ...
Side 16
... consequently multiplied by 1 + a . 12. It is evident that if there be a factor , which is common to all the terms of an equation , it may be dropped without destroy- ing the equality of the two expressions , since it is merely divid ...
... consequently multiplied by 1 + a . 12. It is evident that if there be a factor , which is common to all the terms of an equation , it may be dropped without destroy- ing the equality of the two expressions , since it is merely divid ...
Side 19
... consequently , in a 1 9 1 a number x of hours , it will furnish the quantity xx , or ( Arith . 53 ) . x -- The second fountain , which will fill the same vessel in a num- ber of hours described by b , will discharge into it in one hour ...
... consequently , in a 1 9 1 a number x of hours , it will furnish the quantity xx , or ( Arith . 53 ) . x -- The second fountain , which will fill the same vessel in a num- ber of hours described by b , will discharge into it in one hour ...
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Elements of Algebra Silvestre Francois LaCroix,Professor John Farrar Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
a² b² a5 b² algebraic algebraic quantities Arith arithmetic becomes binomial changing the signs coefficient common divisor consequently courier cube root deduce denominator denoted divi divided dividend and divisor division double the product enunciation equa equal to zero evident example exponent extract the root extract the square factor x fifth power figures follows fraction given in art gives greatest common divisor greatest square last term letters logarithm manner merator method multiplicand multiplied necessary negative observed obtain operation polynomials proposed equation proposed number quan question quotient radical quantities radical sign reduced remainder represent resolve result rule given second degree second power second term sign+ simple quantities square root substitute subtract tens terms involving third tion tities units unity unknown quantity vulgar fractions whence whole numbers
Populære avsnitt
Side ii - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...
Side 22 - ... by itself as many times less one as there are units in the exponent of this power.
Side 76 - On the contrary, the square root of a number, which is not a perfect square, is...
Side 73 - 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.
Side 93 - Adding to the trial-divisor 3 ab, that is, three times the product of the first term of the root by the second, and...
Side 76 - This process, founded upon what was laid down in article 96, that the square of a fraction is expressed by the square of the numerator divided by the square of the denominator, may evidently be applied to any kind of fraction whatever, and more readily to decimals than to others.
Side 35 - ... the first term of the divisor, by^>, the second term of the quotient...
Side 25 - RULE. Multiply all the terms of the multiplicand by each term of the multiplier, observing that like signs give plus in the product, and unlike signs minus.
Side 155 - If three quantities are in continued proportion, the product of the extremes is equal to the square of the mean.
Side 155 - The first consequent plus or minus its antecedent taken a given number of times, is to the second consequent plus or minus its antecedent taken the same number of times, as the first term is to the third, or as the second is to the fourth. 164. The expression = - returns to b-±.ma a d-\-mc cd — me cb-\-ma ab — ma a...