Elements of AlgebraUniversity Press, 1818 - 276 sider |
Inni boken
Resultat 1-5 av 40
Side viii
... approximating roots Method of abridging , by division , the extraction of roots · To approximate a root indefinitely , by means of vulgar fractions Most simple method of obtaining the approximate root of a frac- tion , the terms of ...
... approximating roots Method of abridging , by division , the extraction of roots · To approximate a root indefinitely , by means of vulgar fractions Most simple method of obtaining the approximate root of a frac- tion , the terms of ...
Side ix
... approximating the cube root of numbers which are not perfect cubes Extraction of the roots of higher degrees To extract the roots of literal quantities Of equations with two terms The division of am - am by x -a Factors of the equation ...
... approximating the cube root of numbers which are not perfect cubes Extraction of the roots of higher degrees To extract the roots of literal quantities Of equations with two terms The division of am - am by x -a Factors of the equation ...
Side xi
... approximation Principle on which the method of finding roots by approximation , depends Note - on the changes of the value of polynomials 213 214 To assign a number which shall render the first term greater than the sum of all the ...
... approximation Principle on which the method of finding roots by approximation , depends Note - on the changes of the value of polynomials 213 214 To assign a number which shall render the first term greater than the sum of all the ...
Side xii
... approximation according to Lagrange tion , when the coefficients are large Of Proportion and Progression Of the changes which a proportion may undergo Of progression by differences · Fundamental principles of proportion and ...
... approximation according to Lagrange tion , when the coefficients are large Of Proportion and Progression Of the changes which a proportion may undergo Of progression by differences · Fundamental principles of proportion and ...
Innhold
1 | |
2 | |
7 | |
12 | |
18 | |
23 | |
37 | |
45 | |
143 | |
147 | |
150 | |
160 | |
166 | |
168 | |
175 | |
179 | |
51 | |
51 | |
53 | |
66 | |
84 | |
91 | |
99 | |
102 | |
105 | |
106 | |
123 | |
131 | |
136 | |
140 | |
183 | |
189 | |
190 | |
201 | |
205 | |
210 | |
216 | |
218 | |
222 | |
225 | |
246 | |
253 | |
262 | |
Andre utgaver - Vis alle
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...