An Elementary Treatise on Pure Geometry, with numerous examples

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    THE opening sentence of the Preface—“The author has attempted to bring together all the well-known theorems and examples connected with Harmonics, Anharmonics, Involution, Projection (including Homology),and Reciprocation”—indicates that the writer has given himself a “tall order.” Within the limits of 323 pages we have here collected every possible property that a student can desire to have. Our only objection to the book is that it is too full for ordinary purposes, but as the matter is put together with considerable skill and ability—thus evidencing the writer's familiarity with, and mastery over, his subject—and illustrated with a choice collection of worked-out exercises, we cordially commend it. We could wish that a handbook for school use were founded upon it. There used to be a rumour abroad that the late Prof. Henry Smith intended to publish his Geometrical Lectures. That hope is now, we presume, frustrated, but as Mr. Russell's first lessons in Pure Geometry were learnt from Mr. Smith's lectures, and as many of the proofs of the present work are derived from the same source, we must possibly take it as the substitute for the “Geometrical Lectures.” The get-up of the text is on the usual lines of the Clarendon Press and is all that one could desire.

    An Elementary Treatise on Pure Geometry, with numerous examples.

    By J. W. Russell. (Oxford: Clarendon Press, 1893.)

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    An Elementary Treatise on Pure Geometry, with numerous examples. Nature 48, 101 (1893) doi:10.1038/048101a0

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