This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1876 Excerpt: ...gives 9, and then I, ign J 8 1/(1-1'+ a6)-V(a6)' There are two values of 9; if the chain slips before I' is drawn up, 8 is possible; if not, impossible. In this case let I' = a#, and we have at this mstant, f = (__) log--; and (1) gives "Y-JC" w e rf / m+ 2;n After this the equations of motion are (A2m + -o3(ir--8)-r-j ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1876 Excerpt: ...gives 9, and then I, ign J 8 1/(1-1'+ a6)-V(a6)' There are two values of 9; if the chain slips before I' is drawn up, 8 is possible; if not, impossible. In this case let I' = a#, and we have at this mstant, f = (__) log--; and (1) gives "Y-JC" w e rf / m+ 2;n After this the equations of motion are (A2m + -o3(ir--8)-r-j =oT'--I gna2 cos p dp, an (L + -8) f = - (L + a8)-T'; at putting L = l+l'. Therefore a2/y = _i(L9+4a2+2asiu.w+ieL (2), at / m + 2m --+ 2w- TT-y." (- + 2H-(--8), (L + -8 + asin-). 4949. (By Prof. Wolstenholme.)--If at each point of an epicycloid (or hypocycloid) bo drawn the equiangular spiral of closest contact, prove that the locus of the polo of this spiral will be the inverse of the epicycloid with respect to its centre. Conversely, the only curves for which this property helds are these whese intrinsic equation is s = - (1--cos mty) Let P be a point on a curve, V the corresponding point on the evolute, and P" the corresponding point on the evo-evolute (evolute of the evolute), Then P' is the centre of curvature at P with respect to the curve, and P" the centre of curvature at P' with respect to the evolute. The pole S of the equiangular spiral of closest contact with the curve at P may be found by the simple construction: join PP," and upon it draw the perpendicular P'S. This follows from the geometrical properties of the spiral, and from the conception that the respective evolutes of the curve and spiral have the same curvature at P', so that the points P, P', P" are the same for both these curves. In the accompanying figuro, if P be a point on the epicycloid generated by rolling a circle of diameter OE upon a fixed circle of centre C and radiu...
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Add this copy of Mathematical Questions With Their Solutions (Volume 3) to cart. $24.07, poor condition, Sold by Anybook rated 4.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1865 by C.F. Hodgson & Son.
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Seller's Description:
Volume 3. From The 'Educational Times' with many Papers and Solutions Not Published in the 'Educational Times'. Binding torn, backstrip missing, cover scuffed and worn. This book has hardback covers. Ex-library. With usual stamps and markings. in poor condition, suitable as a reading copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 350grams, ISBN:
Add this copy of Mathematical Questions With Their Solutions (Volume 2) to cart. $25.42, poor condition, Sold by Anybook rated 4.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1865 by C.F. Hodgson & Son.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Volume 2. From The 'Educational Times' with many Papers and Solutions Not Published in the 'Educational Times'. Binding loose, backstrip missing, cover scuffed and worn. This book has hardback covers. Ex-library. With usual stamps and markings. in poor condition, suitable as a reading copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 350grams, ISBN:
