Through the last centuries Scientists and Researchers have created analytic and geographic multi-methods and formulas for the definition of elastic curve’s unknowns of beams. We have seen that most of these methods had matched in their end formulas, while they only differed by the analytic basis for the differentiating of these formulas, that their introductions depended on different physic expressions and mathematic relations. This scientific work contains a concise preview for the definition relations and methods of elastic Curve’s unknowns of beams available, so that the expression about these in an easy and collective expression with agreement of the depended analytic method by the Researcher. That can avail of the academic job on the first hand, and it helps the structural analyzer choose the proper and easier device for his structural analysis for the definition of elastic Curve’s unknowns of studied structural system.