The Story of Euclid

W. B. Frankland
1902 Mathematical Gazette  
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more » ... VIEWS. REVIEWS. to make the application intelligible can be given by means of square root by interpolatingfractional in a series of integral powers of any base-and for preference in starting. Smith and Beman in their Higher Arithmetic (Ginn & Co.) gave a serviceable section (pp. 109-121) on logarithms, and we should like to see their example followed by English writers. The Story of Euclid. By W. B. FRANKLAND, M.A. Is. (George Newnes.) We heartily recommend this book to the attention of mathematical teachers. The author seems to have accomplished a somewhat difficult task in a very satisfactory manner, and to have succeeded in avoiding the two pitfalls that beset any such attempt-on the one hand the too free use of technical terms which would have repelled all but mathematicians from reading it; on the other, the insipid vagueness which would be caused by the entire avoidance of them. A preliminary sketch of what is known of the achievements of Thales, Pythagoras, and other predecessors of Euclid who made his work possible, is followed by an account of the Alexandrian school, and an estimate of the famous "Elements." But the author does not stop here-he also gives the story of Euclid's successors down to Proclus, 'the last of the Greeks,' from whom he makes a long quotation. We then have an interesting account of the earliest printed Euclids, and a sketch of the rise of Modern Geometry. Finally we come to Lobachewski and Riemann of whom portraits are given. An excellent shilling's worth. * " Hermann Wiener has shown how by paper-folding we may obtain the network of the regular polyhedra. Singularly, about the same time a Hindu mathematician, Sundara Row, published a little book . . . in which the same idea is considerably developed. The author shews how by paper-folding we may construct by points such curves as the ellipse, cissoid, etc." Klein's Famous Problems of Elementary Geometry. (Ginn & Co.)
doi:10.2307/3604240 fatcat:7z64qiuhojezznf6mck7q6tjxu