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 67
... root on the right hand of the given number , after the manner of a quotient figure in Division . Subtract the square thus found from the same period , and to the remainder annex the two ... root is to be extracted to F 2 SQUARE ROOT . 67.
... root on the right hand of the given number , after the manner of a quotient figure in Division . Subtract the square thus found from the same period , and to the remainder annex the two ... root is to be extracted to F 2 SQUARE ROOT . 67.
Page 68
... root , or one figure more ; then , for the rest , divide the last remainder by its corresponding divisor , after the manner of the third contraction in division of decimals ; thus : 2. To find the root of 2 to nine places of figures ...
... root , or one figure more ; then , for the rest , divide the last remainder by its corresponding divisor , after the manner of the third contraction in division of decimals ; thus : 2. To find the root of 2 to nine places of figures ...
Page 69
... adopt the form of work given in the equations in this volume , in preference to the present one , on account of the uniformity amongst the processes for all roots whatever . and mark off the place for the root as the CUBE ROOT . 69.
... adopt the form of work given in the equations in this volume , in preference to the present one , on account of the uniformity amongst the processes for all roots whatever . and mark off the place for the root as the CUBE ROOT . 69.
Page 70
... root as the quotient is marked in division , or the root in the extraction of the square root . Thus : — L M N 3 x root already found . 3 x square of root already found . Number whose root is to be found . Root . 2. Divide the number ...
... root as the quotient is marked in division , or the root in the extraction of the square root . Thus : — L M N 3 x root already found . 3 x square of root already found . Number whose root is to be found . Root . 2. Divide the number ...
Page 71
... root and triple its square ; and we may proceed with them to find a new root figure , and complete the operation as in rules 3 and 4 . Note . After about one - third of the number of figures in the root have been obtained ( or one ...
... root and triple its square ; and we may proceed with them to find a new root figure , and complete the operation as in rules 3 and 4 . Note . After about one - third of the number of figures in the root have been obtained ( or one ...
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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