The elements of ℝ^𝟑 space are named according to the structure established on them. When ℝ^𝟑 space is considered with affine structure, it can be considered as set of points, when it is considered with vector space structure, it can be considered as set of vectors, when it is considered with projective structure, it can be considered as set of directed lines. The structures that ℝ^𝟑 space is isomorphic to differ for each different case. One of the one-to-one correspondences is the unit dual sphere to which the directed lines of ℝ^𝟑 are one-to-one correspondences. The dual numbers that are the basis of the unit dual sphere are the numbers defined with the dual unit defined by Clifford [1,2], which is different from zero but whose dual product with itself is zero. The unit dual sphere [3,4] is the sphere defined using dual product and dual inner product, which has the concept of sphere as a form. As a result of one-to-one correspondence of the unit dual sphere with directed lines [4], the ruled surfaces in R3 space are matched with the curves of the unit dual sphere and the examinations can be handled synchronously.