Abstract
WE have noticed (NATURE, vol. xxiv. p. 52, vol. xxvi. p. 219) two previous editions of this book, and are glad to find that our favourable opinion of it has been so convincingly indorsed by teachers and students in general. The novelty of this edition is a supplement of “Additional Propositions and Exercises” (pp. 159-174). This contains an elegant mode of obtaining the circle tangential to three given circles by the method of false positions, constructions for a quadrilateral, and a full account, for the first time in a text-book, of the Brocard, triplicate-ratio, and (what the author proposes to call) the cosine circles. Dr. Casey has collected together very many properties of these circles, and, as usual with him, has added several beautiful results of his own. He is not so thoroughly well up in the literature of the subject as he might be, but he has clone excellent service in introducing the circles to the notice of English students. Again, Question 31, p. 174, to one unacquainted with geometrical results, would appear to make its début here, whereas it figures as a question in the “Reprint from the Educational Times” (vol. iii. p. 58),1 and is discussed there in connection with an envelope which forms the subject of a paper by Steiner (see also pp. 97, &c., and vol. iv. p. 94).
A Sequel to the First Six Books of the Elements of Euclid.
By John Casey (Dublin: Hodges, 1884.)
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Our Book Shelf . Nature 29, 571 (1884). https://doi.org/10.1038/029571a0
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DOI: https://doi.org/10.1038/029571a0