Elements of AlgebraUniversity Press, 1818 - 276 sider |
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Side v
... Methods for performing , as far as is possible , the operations in- dicated upon quantities , that are represented by letters Explanation of the terms , simple quantities , binomials ... Method of finding the powers of a number Rule for.
... Methods for performing , as far as is possible , the operations in- dicated upon quantities , that are represented by letters Explanation of the terms , simple quantities , binomials ... Method of finding the powers of a number Rule for.
Side vi
... Method of arrangement , when the quantity has the same power in several terms both of the dividend and divisor Example < - Of Algebraic Fractions To abridge an expression when the algebraic division cannot be performed 47 ib . 49 · ib ...
... Method of arrangement , when the quantity has the same power in several terms both of the dividend and divisor Example < - Of Algebraic Fractions To abridge an expression when the algebraic division cannot be performed 47 ib . 49 · ib ...
Side viii
... Method of determining whether the root found is too small To find the square and square root of a fraction Every ... Method of approximating roots Method of abridging , by division , the extraction of roots · To approximate a root ...
... Method of determining whether the root found is too small To find the square and square root of a fraction Every ... Method of approximating roots Method of abridging , by division , the extraction of roots · To approximate a root ...
Side ix
... Method of deducing from this product the development of any power of a binomial Theory of permutations and combinations 146 Rule for the development of any power whatever of a binomial 149 General term of the binomial formula The ...
... Method of deducing from this product the development of any power of a binomial Theory of permutations and combinations 146 Rule for the development of any power whatever of a binomial 149 General term of the binomial formula The ...
Side xi
... method of solving the above problem 190 · 192 193 · 194 Inconvenience of the successive elimination of the unknown quantities when there are more than two equations and indi- cation of the degree of the final equation Of commensurable ...
... method of solving the above problem 190 · 192 193 · 194 Inconvenience of the successive elimination of the unknown quantities when there are more than two equations and indi- cation of the degree of the final equation Of commensurable ...
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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...