A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 55
... Opposite to each dividend , on the left hand , set such a number for a divisor as will bring it to the next higher name ; drawing a perpendicular line between all the divisors and dividends . Begin at the uppermost , and perform all the ...
... Opposite to each dividend , on the left hand , set such a number for a divisor as will bring it to the next higher name ; drawing a perpendicular line between all the divisors and dividends . Begin at the uppermost , and perform all the ...
Page 202
... opposite side , and then raising each member to the power denoted by the index of the radical . If there be more than one radical , the operation must be repeated . Thus : Example 9 . Given , √3x + 7 10 Squaring each member of the ...
... opposite side , and then raising each member to the power denoted by the index of the radical . If there be more than one radical , the operation must be repeated . Thus : Example 9 . Given , √3x + 7 10 Squaring each member of the ...
Page 206
... opposite signs , we may eliminate x by adding the two equations together , which give ( y . — x ) + ( y + x ) = 12 + 6 Whence y = 9 If we examine the three above methods , we shall perceive that they consist in expressing that the ...
... opposite signs , we may eliminate x by adding the two equations together , which give ( y . — x ) + ( y + x ) = 12 + 6 Whence y = 9 If we examine the three above methods , we shall perceive that they consist in expressing that the ...
Page 264
... opposite signs . XIV . Let q be positive , and p = 0 . This case is the same as the last , with this difference , that the two values of x will be imaginary ; for we shall have x2 + q = 0 x = ± v = q The two last cases belong to the ...
... opposite signs . XIV . Let q be positive , and p = 0 . This case is the same as the last , with this difference , that the two values of x will be imaginary ; for we shall have x2 + q = 0 x = ± v = q The two last cases belong to the ...
Page 266
... opposite signs . x = ± √ = q , both values imaginary . { XIV . p = 0 , XV . Let q = 0 , { XV . p = 0 , x = 0 , both values equal to 0 . XVI . One case , attended with remarkable circumstances , still remains to be examined . Let us ...
... opposite signs . x = ± √ = q , both values imaginary . { XIV . p = 0 , XV . Let q = 0 , { XV . p = 0 , x = 0 , both values equal to 0 . XVI . One case , attended with remarkable circumstances , still remains to be examined . Let us ...
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Common terms and phrases
algebraic axis bisected called centre circle circumference coefficient contained Corol cosec cosine cube root curve decimal denominator denote diameter difference differential co-efficient distance Divide dividend division divisor draw dy dx equal EXAMPLES exponent expression extract factors feet figure fraction given number greater greatest common measure Hence hyperbola inches latus rectum least common multiple logarithm manner monomial multiply negative nth root number of terms parallel parallelogram perpendicular plane polynomial positive Prob problem Prop proportional proposed equation quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line Substituting subtract tangent Taylor's theorem THEOREM unknown quantity VULGAR FRACTIONS whole number yards