 
    Excerpt from A Treatise on Analytic Geometry, Vol. 2: Three DimensionsIn revising this volume I have been fortunate to have the assistance of Mr. G. R. Webb, Fellow of Trinity College, Dublin, Miss Hilda P. Hudson, Sc.D. (Dublin), of Newnham College, Cambridge, and Mr. Robert Russell, Fellow of Trinity College, Dublin. The two volumes now form, it is hoped, a concise and comprehensive survey of tri-dimensional Euclidean Geometry, both algebraic and differential, and those who wish to specialise further will find ample references to guide them.Practically nothing has been omitted from the fourth edition, but the numbering of the articles has been altered in some places. New matter is enclosed in square brackets and the principal additions will now be described.Chapter XIII. of the fourth edition has been divided into three Chapters, XIII., XIIIa and XIIIb; XIIIa dealing with rectilinear complexes, rectilinear congruences and ruled surfaces, contains a good deal of new matter under the first two headings.
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