Algebra for High Schools and Colleges: Containing a Systematic Exposition and Application of the Elementary and Higher Principles of the SciencePratt, Oakley & Company, 1859 - 306 pagine |
Dall'interno del libro
Risultati 1-5 di 46
Pagina ix
... Side of an Equation to the other , ( 116 ) .— Change of the Signs in an Equation , ( 117 ) . RULE XVII . For the Solution of a Simple Equation containing but one unknown quantity , ( 118. ) A Problem , and in what its Solution consists ...
... Side of an Equation to the other , ( 116 ) .— Change of the Signs in an Equation , ( 117 ) . RULE XVII . For the Solution of a Simple Equation containing but one unknown quantity , ( 118. ) A Problem , and in what its Solution consists ...
Pagina 67
... side , and that on the right the second member , or side , of the Equation . Thus 3x + ab = 5x + 8d - 9 is an equation , in which 3x + ab is the first member , and 5x + 8d - 9 is the second . ( 108. ) Equations are employed in the ...
... side , and that on the right the second member , or side , of the Equation . Thus 3x + ab = 5x + 8d - 9 is an equation , in which 3x + ab is the first member , and 5x + 8d - 9 is the second . ( 108. ) Equations are employed in the ...
Pagina 69
... side of the Equation , so as to be equal to known quantities on the other side . In order to this , the following transformations may be necessary , or at least may be expedient . 1. Clearing the Equation of Fractions . 2. The ...
... side of the Equation , so as to be equal to known quantities on the other side . In order to this , the following transformations may be necessary , or at least may be expedient . 1. Clearing the Equation of Fractions . 2. The ...
Pagina 70
... side to the other , because this is equivalent to adding the term with its sign changed to both sides . Thus by adding 84 to both members of the equation 9x - 84-12x - 12 + 4x , the term -84 is canceled in the first member ( 28 ) . In ...
... side to the other , because this is equivalent to adding the term with its sign changed to both sides . Thus by adding 84 to both members of the equation 9x - 84-12x - 12 + 4x , the term -84 is canceled in the first member ( 28 ) . In ...
Pagina 71
... side , and all the known terms to the other side , of the equation . 3. Add together all the similar terms in each member . 4. Divide both members by the coefficient of the unknown quanti- ty ; -observing that when the unknown quantity ...
... side , and all the known terms to the other side , of the equation . 3. Add together all the similar terms in each member . 4. Divide both members by the coefficient of the unknown quanti- ty ; -observing that when the unknown quantity ...
Sommario
1 | |
9 | |
10 | |
16 | |
24 | |
25 | |
27 | |
38 | |
135 | |
137 | |
142 | |
170 | |
177 | |
178 | |
186 | |
204 | |
53 | |
70 | |
76 | |
82 | |
88 | |
91 | |
94 | |
101 | |
111 | |
121 | |
130 | |
211 | |
221 | |
232 | |
236 | |
243 | |
245 | |
249 | |
251 | |
274 | |
305 | |
Altre edizioni - Visualizza tutto
Algebra for High Schools and Colleges: Containing a Systematic Exposition ... James B. Dodd Visualizzazione completa - 1860 |
Algebra for High Schools and Colleges: Containing a Systematic Exposition ... James B. Dodd Visualizzazione completa - 1854 |
Parole e frasi comuni
acres added Algebraic approximate value Arithmetical Progression Binomial Theorem cent common denominator common difference completing the square component factors Continued Fraction corresponding cube root denotes dividend divisor Equation containing example exponent extracting the square Find a number Find the cube Find the Product Find the Quotient Find the square Find the Sum Find the value Function Geometrical Progression given Equation given fraction given number greater greatest common measure Hence imaginary improper Fraction Inequality integral irrational last term least common multiple less letters logarithm lowest terms method miles monomial multiplied negative number of terms obtained polynomial positive preceding prefixed problem proportion quadratic Quadratic Equations ratio real roots Reduce remainder required root Resolve second equation second member second term side signs changed simplest form solution square rods square root substituted subtracting Surds unknown quantity value of x whole number yards
Brani popolari
Pagina 299 - NB In the following table, in the last nine columns of each page, where the first or leading figures change from 9's to O's, points or dots are introduced instead of the...
Pagina 209 - A put four horses, and B as many as cost him 18 shillings a week. Afterwards B put in two additional horses, and found that he must pay 20 shillings a week. At what rate was the pasture hired ? 49.
Pagina 105 - Three quantities are said to be in harmonical proportion, when the first is to the third, as the difference between the first and second is to the difference between the second and third.
Pagina 85 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Pagina 177 - A set out from C towards D, and travelled 7 miles a day. After he had gone 32 miles, B set out from D towards C, and went every day J^ of the whole journey; •and after he had travelled as many days as he went miles in a day, he met A. Required the distance from C to D.
Pagina 206 - A hare is 50 leaps before a greyhound, and takes 4 leaps to the greyhound's 3 ; but 2 of the greyhound's leaps are equal to 3 of the hare's ; how many leaps must the greyhound take, to catch the hare?
Pagina 80 - What fraction is that, whose numerator being doubled, and denominator increased by 7, the value becomes §; but the denominator being doubled, and the numerator increased by 2, the value becomes f 1 Ans.
Pagina 79 - What fraction is that, to the numerator of which if 1 be added, the value will be •£ ; but if 1 be adde.d to the denominator, its value will be | ? Let — denote the fraction.
Pagina 60 - AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal.
Pagina 244 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log