The Open court . s manner,collaterally. This idea, even thennot a new one, was car-ried out in some detailthirty-one years ago, by Professor Hinrichs, of Iowa, now of St. Louis, in hisElements of Physics. Numerous other methods might be incorporated with the suggestions involvedin the foregoing procedure; for example, paper-folding, paper-cutting, and paper-modelling ; the manufacture and use of movable models; the experimental andarithmetical verification by tables and a millimetre rule of such propositions as thegeneralised Pythagorean theorem, etc. All of these methods save the first requir


The Open court . s manner,collaterally. This idea, even thennot a new one, was car-ried out in some detailthirty-one years ago, by Professor Hinrichs, of Iowa, now of St. Louis, in hisElements of Physics. Numerous other methods might be incorporated with the suggestions involvedin the foregoing procedure; for example, paper-folding, paper-cutting, and paper-modelling ; the manufacture and use of movable models; the experimental andarithmetical verification by tables and a millimetre rule of such propositions as thegeneralised Pythagorean theorem, etc. All of these methods save the first require instruments that are without thereach of some individuals and schools. Pafer-folding and fa;per-cutting, how-ever, are within the reach of all, though seemingly the least developed. It will beof interest, therefore, to know that we now have a systematic book on the subject,and it is to be hoped that every one concerned for sound education will do hispart towards disseminating the simple methods developed in Proof of the Pythagorean Theorem by Paper-Folding.(Sundara Row.) MISCELLANEOUS. 57 This book is the Geometric Exercises in Pafer-Folding of T. Sundara Row,a Hindu mathematician. It is highly recommended by Professor Klein, the fore-most mathematician of Germany, and being but little known in its original edition,now exhausted, it has just been republished in elegant form, with half-tone repro-ductions of the actual exercises and a package of colored papers for folding. Itwas, in fact, the colored papers of the Kindergarten gifts that first led the Hindumathematician to apply paper-folding to geometry. The use of the Kindergartengifts, he says, not only affords interesting occupations to boys and girls, but alsoprepares their minds for the appreciation of science and art. The teaching ofplane geometry in schools is made very interesting by the free use of the kinder-garten gifts. It is perfectly legitimate to require pupils to fold the diagrams withpaper. This gives th


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