TRANSPOSITION

, in Algebra, is the bringing any term of an equation over to the other side of it. Thus, if , and you make , then a is said to be Transposed.

This operation is to be performed in order to bring all the known terms to one side of the equation, and all those that are unknown to the other side of it; and every term thus Transposed must always have its sign | changed, from + to -, or from - to +; which in fact is no more than subtracting or adding such term on both sides of the equation. See Reduction of Equations.

TRANSVERSE-Axis, or Diameter, in the Conic Sections, is the first or principal diameter, or axis. See Axis, Diameter, and Latus TRANSVERSUM.

In an ellipse the Transverse is the longest of all the diameters; but the shortest of all in the hyperbola; and in the parabola the diameters are all equal, or at least in a ratio of equality.