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nydus/On Growth and FormPublic
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CHAPTER XVII ON THE THEORY OF TRANSFORMATIONS, OR THE COMPARISON OF RELATED FORMS

becomes such a figure as that of Fig. 357. The system may now be described in terms of the oblique axes X, Y; or may be directly referred to new rectangular co-ordinates öƒ, öñ by the simple transposition x =ã€₤öƒã€₤㈒ã€₤öñã€₤cotã€₤ü‰, y =ã€₤öñã€₤cosecã€₤ü‰.

(4) Yet another important class of deformations may be represented by the use of radial co-ordinates, in which one set of lines are represented as radiating from a point or 〜focus,〝 while the other set are transformed into circular arcs cutting the radii orthogonally. These radial co-ordinates are especially applicable {731} to cases where there exists (either within or without the figure) some part which is supposed

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