In the preface to the second edition of my Higher Plane Curves I have explained the circumstances under which I obtained Professor Cayley svaluable help in the preparation of that volume. I have now very gratefully to acknowledge that the same assistance has been continued to me in the re-editing of the present work. The changes from the preceding edition are not so numerous here as in the case of the Higher Plane Curves, partly because the book not having been so long out of print required less alteration, partly because the size to which the volume had already swelled made it necessary to be sparing in the addition of new matter. Prof. Cayley having read all the proof sheets, the changes made at his suggestion are too numerous to be particularized; but the following are the parts which, on now looking through the pages, strike me as calling for special acknowledgement, as being entirely or in great measure derived from him; A rts. 51 53 on the six coordinates of a line, the account of focal lines A rt. 146, A rts-t 14 322 on Gauss smethod of representing the coordinates of a point on a surface by two parameters. The discussion ofO rthogonal Surfaces is taken from a manuscript memoir of Prof. Cayley s, These articles have been altered in the present edition. tN ow A rts. 377-384.
(Typographical errors above are due to OCR software and don't occur in the book.)
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