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Yayın On three new functions which determine the equation of the ruled surface(2009) Kanbay, FilizIt is known that a ruled surface in three-dimensional Euclidean space, E 3 , is determined by three functions ? , ?, D which are called the distribution parameter, the abscissa of the central point and the function that determined the director-cone of the ruled surface, respectively. But, it is not focused on the question how the equation of the ruled surface is written by these functions; because it is too hard to find the equation of the ruled surface by using them. This work answers this question; in other words, three new functions which are sufficient to take place the equations ,? , ? , D , are found. By using the three new functions, it can be written the equation of the ruled surface easily.