Elements of AlgebraUniversity Press, 1818 - 276 sider |
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Resultat 1-5 av 63
Side v
... algebraic signs Explanation of algebraic formulas Of equations To solve questions by the assistance of algebra Explanation of the words , equation , members , and terms Resolution of equations of the first degree , having but one un ...
... algebraic signs Explanation of algebraic formulas Of equations To solve questions by the assistance of algebra Explanation of the words , equation , members , and terms Resolution of equations of the first degree , having but one un ...
Side vi
... Algebraic Fractions To abridge an expression when the algebraic division cannot be performed 47 ib . 49 · ib . 50 The greatest common divisor of two algebraic quantities To find the greatest common divisor Necessary precautions , when ...
... Algebraic Fractions To abridge an expression when the algebraic division cannot be performed 47 ib . 49 · ib . 50 The greatest common divisor of two algebraic quantities To find the greatest common divisor Necessary precautions , when ...
Side viii
... algebraic quantities . 126 131 Transformation for simplifying radical quantities Extraction of the square root of simple quantities Extraction of the square root of polynomials ib . 132 · 133 The formation of powers of simple quantities ...
... algebraic quantities . 126 131 Transformation for simplifying radical quantities Extraction of the square root of simple quantities Extraction of the square root of polynomials ib . 132 · 133 The formation of powers of simple quantities ...
Side 9
... algebraic characters . PROBLEM . To divide a number into three such parts , that the excess of the middle one above the least shall be a given number , and the excess of the greatest above the middle one shall be another given number ...
... algebraic characters . PROBLEM . To divide a number into three such parts , that the excess of the middle one above the least shall be a given number , and the excess of the greatest above the middle one shall be another given number ...
Side 11
... algebraic characters the relations established by the nature of the question between the known and unknown quanti- ties , from which we infer the equality of two quantities among themselves ; for instance , in article 3 the quantities ...
... algebraic characters the relations established by the nature of the question between the known and unknown quanti- ties , from which we infer the equality of two quantities among themselves ; for instance , in article 3 the quantities ...
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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...