Abstract
1. To complete the census of knots of any given order, that is, minimum number of crossings, it is necessary to include not only those in which the crossings are taken alternately over and under (Alternate ±), but also the Non-Alternate ±, those in which two or more consecutive crossings are alike over or alike under. Professor Tait has figured the forms of the alternate ± knots, of orders three to nine inclusive, on Pl. XLIV. vol. xxxii., Trans. Roy. Soc. Edin.; the object of this paper is to describe the non-alternate knots of these orders.

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