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 57
... solution of equations , and its subordinate class of operations , the extraction of roots . Here , in the contracted way , we have multiplied first by the left - hand figure , 9 ; then by the 2 , omitting the product of 2 × 6 , but ...
... solution of equations , and its subordinate class of operations , the extraction of roots . Here , in the contracted way , we have multiplied first by the left - hand figure , 9 ; then by the 2 , omitting the product of 2 × 6 , but ...
Page 72
... solution , but they are unnecessary , as the arrangement of the work itself will lead to a correct disposition of the figures . The first vertical bar in the root marks where the contraction begins to give its figures to the root , and ...
... solution , but they are unnecessary , as the arrangement of the work itself will lead to a correct disposition of the figures . The first vertical bar in the root marks where the contraction begins to give its figures to the root , and ...
Page 94
... solution can be obtained by single position : and when it involves two propositions , one of which cannot be mentally eliminated , we must have recourse to double position . When the conditions lead to a quadratic or higher equation ...
... solution can be obtained by single position : and when it involves two propositions , one of which cannot be mentally eliminated , we must have recourse to double position . When the conditions lead to a quadratic or higher equation ...
Page 100
... solution of any arithmetical question , we are enabled . for the most part , with a little consideration , to refer to a class for solving which rules have been already invented . These rules consist in the substitution of a series of ...
... solution of any arithmetical question , we are enabled . for the most part , with a little consideration , to refer to a class for solving which rules have been already invented . These rules consist in the substitution of a series of ...
Page 101
... solution of some specific class of questions were always given amongst its conditions , and that by some means or other , the rule for solution had been discovered to be , that the third number ( taking them in the order of their ...
... solution of some specific class of questions were always given amongst its conditions , and that by some means or other , the rule for solution had been discovered to be , that the third number ( taking them in the order of their ...
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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