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 112
... opposite natures , the one co - efficient must be subtracted from the other , to obtain the incorporated or united mass . As to the third case , where the quantities are unlike , it is plain that such quantities cannot be united into ...
... opposite natures , the one co - efficient must be subtracted from the other , to obtain the incorporated or united mass . As to the third case , where the quantities are unlike , it is plain that such quantities cannot be united into ...
Page 116
... opposite to each other in their nature and operation , as are the signs and - by which they are expressed and represented hence , since to unite a negative quantity with a positive one of the same kind , has the effect of diminishing it ...
... opposite to each other in their nature and operation , as are the signs and - by which they are expressed and represented hence , since to unite a negative quantity with a positive one of the same kind , has the effect of diminishing it ...
Page 178
... opposite signs , it will be found advantageous to add the equations together , and divide the sum by the number of them ; then subtracting each equation from this quotient will give the value of each of the unknowns in suc- cession ...
... opposite signs , it will be found advantageous to add the equations together , and divide the sum by the number of them ; then subtracting each equation from this quotient will give the value of each of the unknowns in suc- cession ...
Page 230
... opposite , and continues to retain it till we arrive at p2 , when it again changes . The series , therefore , will be , supposing r , the greatest root of X = 0 , greater between between between between between than r1r and 1 x + Ρι and ...
... opposite , and continues to retain it till we arrive at p2 , when it again changes . The series , therefore , will be , supposing r , the greatest root of X = 0 , greater between between between between between than r1r and 1 x + Ρι and ...
Page 293
... opposite sides parallel . 44. A diagonal is a line joining any two opposite angles of a quadrilateral , or of any other right lined figure . 45. Plane figures that have more than four sides are , in general , called poly- gons ; and ...
... opposite sides parallel . 44. A diagonal is a line joining any two opposite angles of a quadrilateral , or of any other right lined figure . 45. Plane figures that have more than four sides are , in general , called poly- gons ; and ...
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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