Publisher's Synopsis
Excerpt from First Step in Geometry: A Series of Hints for the Solution of Geometrical Problems With Notes on Euclid, Useful Working Propositions and Many Examples
Geometrical deductions are problems which are intended to be solved by the application of recognised geometrical methods and propositions. They are divided into several classes.
A geometrical deduction is termed a rider when it is given as an exercise on a particular proposition. It generally happens that the difficulty of a deduction is greatly diminished when it is given in this way, for we know in what direction to seek for a solution. When a deduction is presented as a rider, it is, of course, expected that the proposition to which the deduction is appended shall be made use of in the solution. It will occasionally happen, with carelessly constructed riders, that a simpler solution, not in volving this proposition, is available; but generally there can be no difficulty in so arranging the proof as to introduce the proposition on which the deduction is supposed to be founded.
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