The elements of algebra. [With] Answers1861 |
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Σελίδα 7
... seen that quantities which are the exact opposites of each other ( as property and debt , gain and loss , time past and time future , & c . ) must be repre- sented by the opposite signs + and - . Also that the quantities to be added ...
... seen that quantities which are the exact opposites of each other ( as property and debt , gain and loss , time past and time future , & c . ) must be repre- sented by the opposite signs + and - . Also that the quantities to be added ...
Σελίδα
... meaning of a bracketed expression when preceded by a negative sign , as -2 ( a + b ) Now the minus sign prefixed to this quantity denotes that the whole of it is to be subtracted . Now , as we have seen above , 2 ( 14 BRACKETS .
... meaning of a bracketed expression when preceded by a negative sign , as -2 ( a + b ) Now the minus sign prefixed to this quantity denotes that the whole of it is to be subtracted . Now , as we have seen above , 2 ( 14 BRACKETS .
Σελίδα
Robert Fowler. Now , as we have seen above , 2 ( a + b ) = 2a + 2b and both the parts 2a and 26 must be subtracted ; and we have -2a - 2b for the whole value ; or 2 ( a + b ) = - 2a - 2b . Again , let it be required to remove the ...
Robert Fowler. Now , as we have seen above , 2 ( a + b ) = 2a + 2b and both the parts 2a and 26 must be subtracted ; and we have -2a - 2b for the whole value ; or 2 ( a + b ) = - 2a - 2b . Again , let it be required to remove the ...
Σελίδα 6
... be pursued is similar to that of Long Division in Arithmetic , as will be seen in the following working : — a - b ) a2 - b2 ( a + b a2- ab ab - bs ab - b2 * See p . 28 . Note . The rules to be observed in the division 24 DIVISION .
... be pursued is similar to that of Long Division in Arithmetic , as will be seen in the following working : — a - b ) a2 - b2 ( a + b a2- ab ab - bs ab - b2 * See p . 28 . Note . The rules to be observed in the division 24 DIVISION .
Σελίδα 8
... seen that the next 4 terms are- 2ax8 , 2x10 , 2ax12 , 2ax14 . When the division is carried on to 4 terms only , the result is- 2a + 2ax2 + 2ax1 + 2ax® + . 2αx8 1 - xs ( 28. ) Divide x by 1 + x to 4 terms . ( 29. ) Divide 3 by 1 - x ; 6 ...
... seen that the next 4 terms are- 2ax8 , 2x10 , 2ax12 , 2ax14 . When the division is carried on to 4 terms only , the result is- 2a + 2ax2 + 2ax1 + 2ax® + . 2αx8 1 - xs ( 28. ) Divide x by 1 + x to 4 terms . ( 29. ) Divide 3 by 1 - x ; 6 ...
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Σελίδα 5 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Σελίδα 154 - Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Σελίδα 234 - The logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the number; thus, in the equation a* = N, x is called the logarithm of N to the base a.
Σελίδα 81 - A bill of 25 guineas was paid with crowns and halfguineas, and twice the number of half-guineas exceeded three times the number of crowns by 17. How many were there of each ? Ans.
Σελίδα 171 - CF as EB is to FD. [V. 16. And as one of the antecedents is to its consequent, so is the sum of the antecedents to the sum of the consequents; [V.
Σελίδα 69 - A railroad runs from A to C. A goods' train starts from A at 12 o'clock, and a passenger train at 1 o'clock. After going two-thirds of the distance the goods' train breaks down, and can only travel at three-fourths of its former rate. At 40 minutes past 2 o'clock a collision occurs, 10 miles from C. The rate of the passenger train is double the diminished rate of the goods
Σελίδα 166 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth; if the multiple of the first be less than that of the second, the multiple of the third is also...
Σελίδα 162 - ... if the terms of a ratio be multiplied or divided by the same quantity, it does not alter the value of the ratio.
Σελίδα 50 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Σελίδα 45 - If the numerator and the denominator of a fraction are both multiplied or divided by the same quantity, the value of the fraction is not changed.