An Introduction to Algebra: Being the First Part of a Course of Mathematics : Adapted to the Method of Instruction in the American CollegesHowe & Spalding, 1820 - 332 sider |
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Resultat 1-5 av 25
Side 18
... dollars , and has contracted a debt of 1500 ; the latter subtracted from the former , not only exhausts the whole of it , but leaves a bal- ance of 500 against him . In common language , he is 500 dollars worse than nothing . - 59. In ...
... dollars , and has contracted a debt of 1500 ; the latter subtracted from the former , not only exhausts the whole of it , but leaves a bal- ance of 500 against him . In common language , he is 500 dollars worse than nothing . - 59. In ...
Side 22
... dollars , and the loss 400. The inquiry then is , what is the value of 2000 dollars profit , when connected with 400 dollars loss ? The answer is , evidently , 2000-400 , which shows that 2000 dollars are to be added to the stock , and ...
... dollars , and the loss 400. The inquiry then is , what is the value of 2000 dollars profit , when connected with 400 dollars loss ? The answer is , evidently , 2000-400 , which shows that 2000 dollars are to be added to the stock , and ...
Side 24
... dollars , and if a is put for 100 ; they will together be -2a - 3a - 5a — 7α . And the several terms reduced to one , will evidently be -17a , that is , 1700 dollars . · 1 74. CASE II . TO REDUCE SEVERAL TERMS TO ONE , WHEN THE ...
... dollars , and if a is put for 100 ; they will together be -2a - 3a - 5a — 7α . And the several terms reduced to one , will evidently be -17a , that is , 1700 dollars . · 1 74. CASE II . TO REDUCE SEVERAL TERMS TO ONE , WHEN THE ...
Side 26
... dollars and guineas can be added , so as to make a sin- gle sum . Six guineas and 4 dollars are neither ten guineas nor ten dollars . Seven hundred , and five dozen , are neither 12 hundred nor 12 dozen . But , in such cases , the ...
... dollars and guineas can be added , so as to make a sin- gle sum . Six guineas and 4 dollars are neither ten guineas nor ten dollars . Seven hundred , and five dozen , are neither 12 hundred nor 12 dozen . But , in such cases , the ...
Side 30
... dollars . 86. Subtraction may be proved , as in arithmetic , by ad- ding the remainder to the subtrahend . The sum ought to be equal to the minuend , upon the obvious principle , that the difference of two quantities added to one of ...
... dollars . 86. Subtraction may be proved , as in arithmetic , by ad- ding the remainder to the subtrahend . The sum ought to be equal to the minuend , upon the obvious principle , that the difference of two quantities added to one of ...
Vanlige uttrykk og setninger
12 rods abscissa added algebraic antecedent applied arithmetical become binomial calculation co-efficients common difference Completing the square compound quantity consequent contain cube root cubic equation curve Divide the number dividend division divisor dollars equa errour Euclid exponents expression extracting factors fourth fraction gallons geometrical geometrical progression given quantity greater greatest common measure Hence inches infinite series inverted last term length less letters manner mathematics Mult multiplicand multiplied or divided negative quantity notation nth power nth root number of terms ordinate parallelogram perpendicular positive preceding prefixed principle Prob proportion proposition quadratic equation quan quotient radical quantities radical sign ratio reciprocal Reduce the equation remainder rule sides square root substituted subtracted subtrahend supposed supposition third tion tity Transp Transposing triangle twice unit unknown quantity varies α α
Populære avsnitt
Side 298 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Side 186 - Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion.
Side 199 - If three quantities are proportional, the first is to the third, as the square of the first, to the square of the second ; or as the square of the second, to the square of the third.
Side 231 - 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.
Side 203 - What two numbers are those, whose difference, sum, and product, are as the numbers 2, 3, and 5, respectively ? Ans.
Side 42 - As the product of the divisor and quotient is equal to the dividend, the quotient may be found, by resolving the dividend into two such factors, that one of them shall be the divisor. The other will, of course, be the quotient. Suppose abd is to be divided by a. The factors a and Id will produce the dividend.
Side 215 - THE EXTREMES IS EQUAL TO THE SUM OF ANY OTHER TWO TERMS EQUALLY DISTANT FROM THE EXTREMES.
Side 81 - ... of this part. At the end of the third year, his original stock was doubled. What was that stock ? Ans.
Side 237 - Divide one of the quantities by the other, and the preceding divisor by the last remainder, till nothing remains ; the last divisor will be the greatest common measure.