Abstract
THIS is a collection of 823 examples illustrating the various propositions of Euclid's six books, as well as many other domains of the geometry of the right line and circle, such as maxima and minima, collinearity and concurrency, centres of similitude, coaxal circles, inversion, harmonic ranges, poles and polars, and the modern geometry of the triangle. It will thus be seen that everything of importance in the subject is dealt with. Hints are given for the solution of all the more easy questions while fully worked out solutions are given for the more advanced. The work is therefore one of very great value both for the student and for the teacher. All the classical problems and theorems in the subject are associated with the names of their discoverers—Ptolemy, Euler, Pascal, Brianchon, Simson, &c.—and each receives ample illustration and application. This is one of the many good features of the work. Mr Larmor is quite right in maintaining that the student of geometry should be provided with a copious and varied collection of exercises, and with an opportunity for consulting the solution of a problem or theorem in which he has failed while his interest in it is still fresh. Such an opportunity is afforded by this excellent representative collection. Doubtless much assistance in this way is derivable from the work of the late Prof. Townsend; but his book is, perhaps, tocelaborate and unmanageable for the average student, on whose attention many other branches of mathematics now make large demands.
Geometrical Exercises from Nixon's “Euclid Revised,” with Solutions.
By Alexander Larmor Pp. vi + 170. (Oxford: Clarendon Press, 1901.)
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Geometrical Exercises from Nixon's “Euclid Revised,” with Solutions . Nature 64, 497 (1901). https://doi.org/10.1038/064497b0
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DOI: https://doi.org/10.1038/064497b0