Books Received | Published:

(1) The Elements of the Geometry of the Conic (2) Geometry, Theoretical and Practical (3) Practical Integration for the Use of Engineers, &c (4) Integration by Trigonometric and Imaginary Substitution (5) A Course in Mathematics for Students of Engineering and Applied Science

Nature volume 78, pages 5253 (21 May 1908) | Download Citation

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Abstract

(1) THIS is an attractive little book on geometrical conies. The argument is very clear, and presents the subject to a beginner in the simplest possible manner. The difficulty in writing a text-book of this sort lies in the fact that many properties of conies are far more easily treated by analytical than geometrical methods. The authors have met this difficulty by putting first those results which lend themselves more readily to geometrical proofs; other theorems are left until later on, and then the methods, if not the nomenclature, are analytical. A reasonably-large number of examples is given, which are nearly all of a graphical or numerical nature. This is a pleasing innovation, and theoretical examples can be supplied by the teacher, if required, from almost any other text-book. A property of the parabola is discussed at the same time as the corresponding property of a central conic; much might be said both for and against this course. Many of the proofs are ingenious; the construction of the hyperbola by means of string and pins alone is worth noticing. A chapter is given in which are discussed those properties of the cycloid, catenary, &c., which can be proved without the aid of the calculus.

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https://doi.org/10.1038/078052a0

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