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A SEQUEL TO THE FIRST SIX BOOKS OF THE ELEMENTS OF EUCLID,
Containing an Easy Introduction to Modern Geometry: With numerous Examples.
THE ELEMENTS OF EUCLID, BOOKS I.-VI., AND PROPOSITIONS I.-XXI., OF BOOK XI.;
Together with an Appendix on the Cylinder, Sphere, Cone, &c.: with
Copious Annotations & numerous Exercises.
A KEY TO THE EXERCISES IN THE FIRST SIX BOOKS OF CASEY'S ELEMENTS OF EUCLID.
DUBLIN: HODGES, FIGGIS, & CO.
THE FIRST SIX BOOKS
ELEMENTS OF EUCLID,
PROPOSITIONS I.-XXI. OF BOOK XI.,
APPENDIX ON THE CYLINDER, SPHERE,
COPIOUS ANNOTATIONS AND NUMEROUS EXERCISES.
JOHN CASEY, LL. D., F. R. S.,
FELLOW OF THE ROYAL UNIVERSITY OF IRELAND;
MEMBER OF THE MATHEMATICAL SOCIETIES OF LONDON AND FRANCE;
THIRD EDITION, REVISED AND ENLARGED.
DUBLIN: HODGES, FIGGIS, & CO., GRAFTON-ST.
THIS edition of the Elements of Euclid, undertaken at the request of the principals of some of the leading Colleges and Schools of Ireland, is intended to supply a want much felt by teachers at the present day-the production of a work which, while giving the unrivalled original in all its integrity, would also contain the modern conceptions and developments of the portion of Geometry over which the Elements extend. A cursory examination of the work will show that the Editor has gone much further in this latter direction than any of his predecessors, for it will be found to contain, not only more actual matter than is given in any of theirs with which he is acquainted, but also much of a special character, which is not given, so far as he is aware, in any former work on the subject. The great extension