Abstract
THE compound singularities of algebraic curves may be divided into three primary species. First, point singularities, or multiple points, which are exclusively composed of nodes and cusps; secondly, line singularities, which are exclusively composed of double and stationary tangents; thirdly, mixed singularities, which are composed of a combination of simple point and line singularities. Amongst compound line singularities may be mentioned (α) a double tangent which osculates a curve at one of its points of contact, the constituents of which are one stationary and two ordinary double tangents; (β) a tangent having a contact of the fourth order with a curve, the constituents of which are three double and three stationary tangents.
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BASSET, A. Compound Singularities of Curves. Nature 71, 101 (1904). https://doi.org/10.1038/071101b0
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DOI: https://doi.org/10.1038/071101b0
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