Elements of AlgebraUniversity Press, 1818 - 276 sider |
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Side viii
... Whole numbers , except such as are perfect squares , admit of no assignable root , either among whole numbers or fractions What is meant by the term incommensurable or irrational How to denote by a radical sign , that a root is to be ...
... Whole numbers , except such as are perfect squares , admit of no assignable root , either among whole numbers or fractions What is meant by the term incommensurable or irrational How to denote by a radical sign , that a root is to be ...
Side ix
... whole numbers To extract the cube root of fractions · 150 ib . - 151 152 ib . ib . 156 157 · 158 160 162 163 Method of approximating the cube root of numbers which are not perfect cubes Extraction of the roots of higher degrees To ...
... whole numbers To extract the cube root of fractions · 150 ib . - 151 152 ib . ib . 156 157 · 158 160 162 163 Method of approximating the cube root of numbers which are not perfect cubes Extraction of the roots of higher degrees To ...
Side 5
... whole of b , or two halves of b , which reduces itself to augmenting by the half of b , or by b b It is evident then that-- - + b becomes - 2 * 2 2 a b + ; and by 2 2 2 translating this expression we learn , that of the two parts sought ...
... whole of b , or two halves of b , which reduces itself to augmenting by the half of b , or by b b It is evident then that-- - + b becomes - 2 * 2 2 a b + ; and by 2 2 2 translating this expression we learn , that of the two parts sought ...
Side 15
... whole , that the unknown quantity x is taken so many times as there are units in the difference of the num- bers a and b , augmented by the number c , that is to say , so many times as is denoted by the number a factors of the first ...
... whole , that the unknown quantity x is taken so many times as there are units in the difference of the num- bers a and b , augmented by the number c , that is to say , so many times as is denoted by the number a factors of the first ...
Side 16
... whole numbers into fractions of a given kind . ( Arith . 79 , 69. ) Let all the terms of the pro- posed equation be transformed by these rules into fractions of the same denominator , beginning with the fractions , which are 2x 4x 5x 5 ...
... whole numbers into fractions of a given kind . ( Arith . 79 , 69. ) Let all the terms of the pro- posed equation be transformed by these rules into fractions of the same denominator , beginning with the fractions , which are 2x 4x 5x 5 ...
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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...