A first book of algebra, including the binomial theorem1867 |
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Página 42
... divisor below it , thus , 3 · When , as in this case , the divisor is only a numeral , divide the coefficients of the dividend by the division , and the quotient will be the coefficient of the answer , and this , pre- fixed to the same ...
... divisor below it , thus , 3 · When , as in this case , the divisor is only a numeral , divide the coefficients of the dividend by the division , and the quotient will be the coefficient of the answer , and this , pre- fixed to the same ...
Página 43
... divisor . The method , however , is pre- cisely the same . Write the dividend above , and the divisor below , a straight line , thus , in example ( 5 ) , Sab 26 * The 2 in the 8 goes 4 times , so the coefficient of the answer will be 4 ...
... divisor . The method , however , is pre- cisely the same . Write the dividend above , and the divisor below , a straight line , thus , in example ( 5 ) , Sab 26 * The 2 in the 8 goes 4 times , so the coefficient of the answer will be 4 ...
Página 44
... divisor respectively above and 16a + 86 below a line , as usual , 4 Then 16a divided by 4 gives 4a , and 86 divided by 4 gives 26. These two partial quotients 4a and 26 written together , thus , 4a + 26 form the complete quotient , or ...
... divisor respectively above and 16a + 86 below a line , as usual , 4 Then 16a divided by 4 gives 4a , and 86 divided by 4 gives 26. These two partial quotients 4a and 26 written together , thus , 4a + 26 form the complete quotient , or ...
Página 45
... divisor cancels a portion of the dividend , leaving 3x for the quotient . In example ( 22 ) the division of 18ax by 3ax may be written : 6 × 3 × a × x x x 3хахх The quotient of which is evidently 6x . Perform the division expressed ...
... divisor cancels a portion of the dividend , leaving 3x for the quotient . In example ( 22 ) the division of 18ax by 3ax may be written : 6 × 3 × a × x x x 3хахх The quotient of which is evidently 6x . Perform the division expressed ...
Página 47
... divisor is a compound quantity , that is , of more than one term , the process of division becomes , in practice , more complicated ; though there is , otherwise , no real difference . The difference , in practice , is much the same as ...
... divisor is a compound quantity , that is , of more than one term , the process of division becomes , in practice , more complicated ; though there is , otherwise , no real difference . The difference , in practice , is much the same as ...
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A First Book of Algebra, Including the Binomial Theorem William Rossiter Sin vista previa disponible - 2016 |
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Pasajes populares
Página 160 - A square court yard has a rectangular gravel walk round it. The side of the court wants 2 yards of being 6 times the breadth of the gravel walk ; and the number of square yards in the walk exceeds the number of yards in the periphery of the court by 164. Required the area of the court ? All equations of the second degree may be reduced to one of the following forms.
Página 39 - 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.
Página 169 - How many hours a day must 42 boys work, to do in 45 days what 27 men can do in 28 days of 10 hours each, the work of a boy being half that of a man ? 11. If 8 guineas be expended in purchasing Brussels carpet f yd. wide, at 3».
Página 120 - Divide the first term of the remainder by twice the first term of the root, and add the quotient to the part of the root already found, and also to the trial-divisor.
Página 120 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.
Página 128 - N, and divide the first term of the remainder by 3 times the square of the first term of R, the quotient will be the third term of the root.
Página 206 - Eequired the numbers. 6. The sum of three numbers in geometrical progression is 35, and the mean term is to the difference of the extremes as 2 to 3. Required the numbers. Ans. 5, 10, 20. 7. The sum of £ 14 was divided between three persons, whose shares were in geometrical progression ; the sum of the shares of the first and second was to the sum of the shares of the second and third as 1 to 2.
Página 88 - Divide the number 36 into 3 such parts, that* \ of the first, \ of the second, and \ of the third, shall be equal to each other.
Página 207 - Bought two flocks of sheep for 65/. 13s., one containing 5 more than the other. Each sheep cost as many shillings as there were sheep in the flock. Required the number in each flock. Ans. 23, and 28.
Página 93 - ... 2. A can do a piece of work in a days and B in b days.