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AN

ELEMENTARY COURSE

OF

PLANE GEOMETRY

AND

MENSURATION.

BY

RICHARD WORMELL, M.A., B.Sc. (LOND.)
Author of "Arithmetic for Schools and Colleges," "Solid Geometry,*
etc., etc.

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THOMAS MURBY,

32, BOUVERIE STREET, FLEET STREET, E. C.

183.g. 36./.

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PREFACE.

Two questions bearing directly on the teaching of Geometry have lately occupied the attention of men. interested in English education. One of these presents for consideration the imperfections of "Euclid's Elements" as a text-book, and the other the subject of so-called "technical education." The discussions on the former show that many, perhaps the majority, of our ablest and most successful teachers of mathematics consider the time to have come for a complete reformation in our methods of instruction in Geometry; and those on the latter that, in the opinion of many, education in England should have a more direct reference to the development of the arts.

So long as "Euclid's Elements continue to be regarded as a work to which no man can add and from which none ought to take away,—as a text-book alike suitable for the beginner and the advanced student,-it will be next to impossible to teach properly the practical bearings of the science of Geometry. The book itself comes to us from an age in which all philosophy was thought to be degraded by connection with the practical operations of life. Its author and his contemporaries looked upon mechanical illustra

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