First Step in Geometry —— A Series of Hints for the Solution of Geometrical Problems With Notes on Euclid, Useful Working Propositions and Many Examples

-----

ISBN: 9781330214060 出版年：2016 页码：189 Richard A Proctor Forgotten Books

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.