An elementary course of practical mathematics, Del 11860 |
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Resultater 1-5 af 31
Side 73
... determine its value , unless it be an identical equation : but if there are more unknown quan- tities than one , there must be as many independent equa- tions . When the value of an unknown quantity is found , it is often useful to ...
... determine its value , unless it be an identical equation : but if there are more unknown quan- tities than one , there must be as many independent equa- tions . When the value of an unknown quantity is found , it is often useful to ...
Side 78
... find the value of the other in terms of the first and of known quantities . Having found that value , insert it , instead of its equivalent letter , in the other equation . That equation will then contain only one unknown quantity ...
... find the value of the other in terms of the first and of known quantities . Having found that value , insert it , instead of its equivalent letter , in the other equation . That equation will then contain only one unknown quantity ...
Side 79
... find x and y . By Method First . From Equation 1 * , x = 7 + 3y 2 Inserting this value for x in Equation 2 , 7 + 3y 3 x -4y = 12 . 2 That is , 21 + 9y -4y = 12 . 2 Or 21 + 9y8y = 24 . ..y = 3 . By Method Second . From Eq . 1 , x7 + 3y ...
... find x and y . By Method First . From Equation 1 * , x = 7 + 3y 2 Inserting this value for x in Equation 2 , 7 + 3y 3 x -4y = 12 . 2 That is , 21 + 9y -4y = 12 . 2 Or 21 + 9y8y = 24 . ..y = 3 . By Method Second . From Eq . 1 , x7 + 3y ...
Side 80
... determine x and y by Method Third . Subtracting Eq . 2 from Eq . 1 , 8y = 72 . Hence we ... find x and y 8x + 10y = 156 , S by Method Third . The greatest common ... value to substitute for x by Method First , or to use as one of the two ...
... determine x and y by Method Third . Subtracting Eq . 2 from Eq . 1 , 8y = 72 . Hence we ... find x and y 8x + 10y = 156 , S by Method Third . The greatest common ... value to substitute for x by Method First , or to use as one of the two ...
Side 82
... find the Values of three or more unknown Quantities from as many independent Equations . RULE . There are three ... value of which we find by Problem 1 . NOTE 1. Peculiar facilities will often be found in par- ticular cases , dispensing ...
... find the Values of three or more unknown Quantities from as many independent Equations . RULE . There are three ... value of which we find by Problem 1 . NOTE 1. Peculiar facilities will often be found in par- ticular cases , dispensing ...
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Almindelige termer og sætninger
a²+b² added Algebra ar² arithmetical progression binomial CHAPTER co-efficients common difference common ratio Completing the square compound quantities consequently containing cube root Cubic Equation denominator Divide dividend divisor equal EXAMPLE EXERCISE expressed Extract the square Find the square find the value four numbers four Quantities fourth geometrical progression given equation given quantity greater greatest common measure Hence integer last term least common multiple letters Multiply negative NOTE number of terms obtain preceding PROBLEM proved Quadratic Equation Quadratic Surd quan Quantities are Proportionals quotient radical sign Reduce remainder resolved RULE second term side simple factor simple quantity simplest form square root subtract THEOREM three numbers tion tities unknown quantity vinculum whole number
Populære passager
Side 187 - ... fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...
Side 220 - 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.
Side 184 - When there is a series of quantities, such that the ratios of the first to the second, of the second to the third, of the third to the fourth, &c., are all equal ; the quantities are said to be in continued proportion.
Side 26 - 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.
Side 179 - Ratios tnat are equal to the same ratio are equal to one another.
Side 185 - 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 184 - IF there be any number of magnitudes, and as many others, which, taken two and two, in a cross order, have the same ratio; the first shall have to the last of the first magnitudes the same ratio which the first of the others has to the last.
Side 93 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.
Side 180 - Division, when the difference of the first and second is to the second as the difference of the third and fourth is to the fourth...
Side 181 - If four magnitudes are in proportion, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.