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THE ELEMENTS

OF

PLANE

GEOMETRY.

Assariation for the Improvement of Genientiral Traching.

THE

ELEMENTS OF PLANE GEOMETRY

PART I.

(CORRESPONDING TO EUCLID BOOKS I.-II.).

Prepared by the Committee appointed by the Association.

“Proficiency in Pure Geometry

perennially a symptom, not only of steady
application, but of a clear methodic intellect, and offering in all epochs good promise for all
manner of arts and pursuits.”—T. CARLYLE.

LONDON :
W. SWAN SONNENSCHEIN AND CO.,

PATERNOSTER ROW.

1884.
(All rights reserved.]

Prof. Quis. zivet

1-29-1923

LONDON:

PRINTED BY WOODFALL AND KINDER.

MILFORD LANE, STRAND, W.C.

PREFACE.

THE Association for the Improvement of Geometrical Teaching was formed in the year 1871, and published in the year 1875 a “ Syllabus of Plane Geometry (corresponding to Euclid Books I.-VI.).” This Syllabus has received a considerable amount of favourable recognition at the hands of Teachers and others interested in the study of Geometry, as is proved by the fact that an edition of 3000 copies has recently been exhausted and, to meet a steadily continuing demand, a new edition has been published. It was felt, however, by many members of the Association, that in order to secure for the Syllabus more general consideration and acceptance, it was desirable that an authorised series of Proofs of the Propositions contained in it should be issued, and accordingly at the Annual Meeting in January, 1881, it was resolved

“ That a sub-committee be appointed to draw up Proofs of the Propositions of the Syllabus of Plane Geometry.”

The result of the labours of the committee appointed in accordance with this resolution, extending over Books I. and II. of the Syllabus, was approved at a General Meeting of the Association, held on the 20th March last, and is submitted to the public in the following pages.

The Association is desirous that it should be clearly understood that the present work is not offered as a section of a complete

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