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 |
Inni boken
Resultat 1-5 av 90
Side 1
... divided , or measured , is called quantity . Thus , a line is a quantity , because it can be doubled , trebled , or halved ; and can be measured , by apply- ing to it another line , as a foot , a yard , or an ell . Weight is a quantity ...
... divided , or measured , is called quantity . Thus , a line is a quantity , because it can be doubled , trebled , or halved ; and can be measured , by apply- ing to it another line , as a foot , a yard , or an ell . Weight is a quantity ...
Side 13
... divided , by that which follows . Thus a ÷ c is a divided by c : and a + b ÷ c + d is the sum of a and b , divided by the sum of c and d . But in algebra , division is more commonly expressed , by writing the divisor under the dividend ...
... divided , by that which follows . Thus a ÷ c is a divided by c : and a + b ÷ c + d is the sum of a and b , divided by the sum of c and d . But in algebra , division is more commonly expressed , by writing the divisor under the dividend ...
Side 14
... divided by the sum of h and b . Ans . 3. The sum of a and b , is to the quotient of b divided by ; as the product of a into c , to 12 times h . Ans . 4. The sum of a , b , and e divided by six times their pro- duct , is equal to four ...
... divided by the sum of h and b . Ans . 3. The sum of a and b , is to the quotient of b divided by ; as the product of a into c , to 12 times h . Ans . 4. The sum of a , b , and e divided by six times their pro- duct , is equal to four ...
Side 20
... divided by the same or equal quantities , the quotients will be equal . 5. If the same quantity be both added to and subtracted from another , the value of the latter will not be altered . 6. If a quantity be both multiplied and divided ...
... divided by the same or equal quantities , the quotients will be equal . 5. If the same quantity be both added to and subtracted from another , the value of the latter will not be altered . 6. If a quantity be both multiplied and divided ...
Side 32
... divided into shares , one man may own ten of them , another five , and another a part only of a share , say two fifths . When a dividend is made , of a certain sum on a share , the first is entitled to ten times this sum , the second to ...
... divided into shares , one man may own ten of them , another five , and another a part only of a share , say two fifths . When a dividend is made , of a certain sum on a share , the first is entitled to ten times this sum , the second to ...
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.