A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |
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Page 45
... result back again by the same : which it is evident does not alter the value ; for any fraction represents a division of the numerator by the denominator . This rule is evidently the reverse of the former ; and the reason of it is ...
... result back again by the same : which it is evident does not alter the value ; for any fraction represents a division of the numerator by the denominator . This rule is evidently the reverse of the former ; and the reason of it is ...
Page 46
... result must be the same as the quantity first proposed . The truth of this rule may be shown as follows : Let the ... resulting fraction and a third will be the same as a compound fraction of two parts ; and so on to the last of all . 1 ...
... result must be the same as the quantity first proposed . The truth of this rule may be shown as follows : Let the ... resulting fraction and a third will be the same as a compound fraction of two parts ; and so on to the last of all . 1 ...
Page 59
... result within the prescribed limits . 2. Divide 4109.2351 by 230-409 , so that the quotient may contain only four decimals . Ans . 17.8345 . 3. Divide 37 · 10438 by 5713.96 , that the quotient may contain only five decimals . Ans ...
... result within the prescribed limits . 2. Divide 4109.2351 by 230-409 , so that the quotient may contain only four decimals . Ans . 17.8345 . 3. Divide 37 · 10438 by 5713.96 , that the quotient may contain only five decimals . Ans ...
Page 60
... result instead of the approximation is required , it will be necessary to work by vulgar fractions instead of decimals . In this case any other decimal quan- tities that have presented themselves amongst the data of the question can be ...
... result instead of the approximation is required , it will be necessary to work by vulgar fractions instead of decimals . In this case any other decimal quan- tities that have presented themselves amongst the data of the question can be ...
Page 63
... result of each directly under its corresponding term , observing to carry 1 for every 12 , from the inches to the feet . In like manner , multiply all the multiplicand by the inches and parts of the multiplier , and set the result of ...
... result of each directly under its corresponding term , observing to carry 1 for every 12 , from the inches to the feet . In like manner , multiply all the multiplicand by the inches and parts of the multiplier , and set the result of ...
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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