Abstract
THIS is a full book, written on the lines which previous works by Irish mathematicians have made familiar to us. The author acknowledges his indebtedness to the writings of Mulcahy, Salmon, and Townsend. He has also freely consulted the similar works by Cremona and Catalan, and in his treatment of the recent geometry has in many cases gone to the fountain-head in the memoirs of Brocard, Neuberg, and Tarry. Though in parts proceeding on parallel lines with Casey's “Sequel,” there is a good deal of other matter not to be found in that work. The writer's object is to give a concise statement of those propositions which he considers to be of fundamental importance, and to supply numerous illustrative examples Many of the exercises are worked out in an elegant manner, and to the major part of the others useful hints are given.
Chapter i. is introductory; chapter ii., in four sections, is devoted to "Maximum and Minimum"; chapter Hi., also in four sections, rapidly touches upon "Recent Geometry"; chapter iv. discusses the general theory of the mean centre of a system of points; and chapter v. treats of collinear points and concurrent lines.
A Treatise on the Geometry of the Circle, and some Extensions to Conic Sections by the Method of Reciprocation.
With numerous Examples. By W. J. M‘Clelland. (London: Macmillan, 1891.)
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Our Book Shelf. Nature 45, 412 (1892). https://doi.org/10.1038/045412a0
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DOI: https://doi.org/10.1038/045412a0