A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1Gilberte and Rivington, 1841 - Mathematics |
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Page 48
... difference in the value of the whole . 323 17 17 2 So , = 5 6 And 24 = 7 • 12 Also = 4 = 34 = X • 45 Example . Reduce 3 , 3 , 1 , 72 , f , and to fractions having the least common denominator . 5 12 15 3 3 4 20 4 1 4 5 4 5 20 5 1 1 5 5 ...
... difference in the value of the whole . 323 17 17 2 So , = 5 6 And 24 = 7 • 12 Also = 4 = 34 = X • 45 Example . Reduce 3 , 3 , 1 , 72 , f , and to fractions having the least common denominator . 5 12 15 3 3 4 20 4 1 4 5 4 5 20 5 1 1 5 5 ...
Page 50
... difference of the numerators , as the sum or difference of any two quantities whatever , by the sum or differ- ence of their individuals . Whence the reason of the rule is manifest , both for addition and subtraction . Note 1. When ...
... difference of the numerators , as the sum or difference of any two quantities whatever , by the sum or differ- ence of their individuals . Whence the reason of the rule is manifest , both for addition and subtraction . Note 1. When ...
Page 51
... difference of the fractions sought . EXAMPLES . and . Here ៖ - 1. To find the difference between 2. To find the difference between and . - ; = } } 12 3. What is the difference between 1 and 7 ? 4. What is the difference between and 9 ...
... difference of the fractions sought . EXAMPLES . and . Here ៖ - 1. To find the difference between 2. To find the difference between and . - ; = } } 12 3. What is the difference between 1 and 7 ? 4. What is the difference between and 9 ...
Page 55
... difference between 91.73 and 2.138 . 91.73 2.138 89.592 the difference . 2. Find the difference between 1.9185 and 2.73 . Ans . 0.8115 . 3. Subtract 4 : 90142 from 214.81 . 4. Find the difference between 2714 and ' 916 . Ans . 209-90858 ...
... difference between 91.73 and 2.138 . 91.73 2.138 89.592 the difference . 2. Find the difference between 1.9185 and 2.73 . Ans . 0.8115 . 3. Subtract 4 : 90142 from 214.81 . 4. Find the difference between 2714 and ' 916 . Ans . 209-90858 ...
Page 57
... difference is only in the arrangement of the work : and by a comparison of the eastern with the contracted method , it will be seen that the only difference is to leave out that portion of the multiplication which does not contribute to ...
... difference is only in the arrangement of the work : and by a comparison of the eastern with the contracted method , it will be seen that the only difference is to leave out that portion of the multiplication which does not contribute to ...
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Common terms and phrases
ABCD algebraic altitude arithmetical arithmetical progression base bisect breadth centre chord circle circumference coefficients common cone cosec cube root decimal denominator denoted diagonal diameter difference dihedral angle distance divided divisor draw drawn equal equation equiangular EXAMPLES expression figure fraction frustum geometrical given line greater hence inscribed integer intersection join length less lineation logarithms mantissa measure meeting method multiplied parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radii radius ratio rectangle Reduce right angles rule Scholium segment sides sine solid angle solution square root straight line subtraction tangent THEOREM third trapezium triangle ABC u₁ vulgar fraction Whence