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nydus/On Growth and FormPublic
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Table of Contents

CHAPTER XVII ON THE THEORY OF TRANSFORMATIONS, OR THE COMPARISON OF RELATED FORMS

(about the axes x and y), we may alter or deform this {729} network in various ways, several of which are very simple indeed. Thus (1) we may alter the dimensions of our system, extending it along one or other axis, and so converting each little square into a corôÙreôÙsponôÙding and directly proportionate oblong (Fig. 353). It follows that any figure which we may have inscribed in the

A mathematical figure showing the transformation of a circle (left) into an ellipse (right) via Cartesian deformation.

Fig. 352. Fig. 353.

Three drawings show a cannon bone of an ox, sheep, and goat subjected to Cartesian transformations of varying proportions.

Fig. 354. Fig. 355.

original net, and which

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