The elements of algebra. [With] Answers1861 |
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Σελίδα
... 274 XXI . Summation of Series- - Piles of Balls , Shells , & c . - 282 APPENDIX . Application of the Methods of Finding the Square and Cube Roots to Numbers 291 .... PREFACE . My apology for writing the following pages is a 2.
... 274 XXI . Summation of Series- - Piles of Balls , Shells , & c . - 282 APPENDIX . Application of the Methods of Finding the Square and Cube Roots to Numbers 291 .... PREFACE . My apology for writing the following pages is a 2.
Σελίδα 1
Robert Fowler. PREFACE . My apology for writing the following pages is that I have taught more or less of Algebra to above five hun- dred pupils ; and my motive has been to supply some of those aids to beginners which a twelve years ...
Robert Fowler. PREFACE . My apology for writing the following pages is that I have taught more or less of Algebra to above five hun- dred pupils ; and my motive has been to supply some of those aids to beginners which a twelve years ...
Σελίδα 5
... writing all the factors of a power as in the last article , the power is represented by writing the factor once , and denoting , by a small figure at the top , the number of times the factor is repeated . Thus , a.a.a.a is represented ...
... writing all the factors of a power as in the last article , the power is represented by writing the factor once , and denoting , by a small figure at the top , the number of times the factor is repeated . Thus , a.a.a.a is represented ...
Σελίδα 6
... writing those values in the place of a and b respectively . Thus , if a = 5 b = 1 Then a + b = 6 . 18. In order then to find the numerical value of any Algebraical expression , the number which each letter represents must 4 NUMERICAL ...
... writing those values in the place of a and b respectively . Thus , if a = 5 b = 1 Then a + b = 6 . 18. In order then to find the numerical value of any Algebraical expression , the number which each letter represents must 4 NUMERICAL ...
Σελίδα 7
... Write in the expression instead of each letter the number which it represents , and then perform the operations indicated by the signs . Examples I. ( 1. ) Required the value of 2a + 3b - 4c , when a = 2 ; b = 4 ; c = 3 . WORKING . 2a + ...
... Write in the expression instead of each letter the number which it represents , and then perform the operations indicated by the signs . Examples I. ( 1. ) Required the value of 2a + 3b - 4c , when a = 2 ; b = 4 ; c = 3 . WORKING . 2a + ...
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a+b+c a²+2ab+b² a²+b² a²x² algebraical quantity amount annuity Arithmetic base Binomial Theorem brackets compound interest contains cube root decimals denominator denote difference Divide division divisor equal equation Examples expansion expression Find the G. C. M. find the number Find the square Find the sum Find the value following quantities formula gallons Geometric series given greater Hence integer least common multiple letters log.a m logarithm miles multiplied negative nth term number of balls number of factors number of permutations number of terms partial fractions positive quantity quadratic quadratic surds quotient qx² rate per cent ratio resolved result sides Similarly solved square root subtract surd whole number
Δημοφιλή αποσπάσματα
Σελίδα 23 - 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 53 - 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 53 - 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.