Publisher's Synopsis
Excerpt from Geometry for Schools, Theoretical: A Sequel to Elementary Plane Geometry, Inductive and Deductive
A considerable number of the propositions in Euclid are of little or no importance in the scientific development of the subject, and should be discarded. A large part of Euclid, Book _ii., loses significance by reason of the permis sive use of algebraic forms. Much of Euclid, Book IV., is best dealt with as exercises in practical constructive Geometry. The change in the theory of Preportion makes certain propositions in Euclid, Book VI., very simple, or even unnecessary. The time thus set free may well he devoted to some more advanced Branch of Geometry, e.g., the elements of Analytical Geometry.
In my Elementary Plane Geometry - Inductive and Deductive I have sought to show how a practical course in measurement, use of simple instruments, and accurate con struction may afford a training of value in itself, and also of service in anticipating the truths afterwards reached by deductive Geometry. In the present book I trust the second and third of the reforms, which teachers of mathematics have had in mind for years, and which are recommended in the Reports above referred to, may he found to have been Judiciouslv carried out.
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