2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59143On an affine variety $X$ defined by homogeneous polynomials, every line in the tangent cone of $X$ is a subvariety of $X$. However there are many other germs of analytic varieties which are not of cone type but contain ``lines'' passing through the origin. In this paper, we give a method to determine the existence and the ``number'' of such lines on non-degenerate surface singualrities.18 pages, 1 figureAlgebraic Geometry14J17,32S25,32S45text