- These functions were originally known as " resultants," a name applied to them by Pierre Simon Laplace, but now replaced by the title " determinants," a name first applied to certain forms of them by Carl Friedrich Gauss.
The effect of this process is to give a series of points in the horizontal planes at which the resultants of all forces above those planes respectively cut FIG.
Let all the resultants acting at the several centres of resistance be produced until they cut one another in a series of points so as to form an unclosed polygon.
48), at distances x and x+a from the left abutment, be their resultants on either side of C. Then the reaction at B is WIx/1+W2(x+a)/l.
Resultants.-When we are given k homogeneous equations in k variables or k non-homogeneous equations in k - i variables, the equations being independent, it is always possible to derive from them a single equation R = o, where in R the variables do not appear.