1. A METHOD OF LAYING A PIPELINE ON THE FLOOR OF A BODY OF WATER FROM A VESSEL FLOATING ON SAID BODY, SAID METHOD COMPRISING: (A) ANCHORING ONE END OF THE PIPELINE TO THE FLOOR OF THE BODY OF WATER; (B) MOVING THE VESSEL IN THE DIRECTION IT IS DESIRED TO LAY THE PIPELINE AND PAYING OUT THE END OF THE PIPELINE ANCHORED TO THE FLOOR OF SAID BODY OF WATER; (C) CONTROLLING THE PAYING OUT OF THE PIPELINE AND MOVEMENT OF THE VESSEL TO HOLD THE PIPELINE UNDER PRESELECTED TENSION SUFFICIENT TO MAINTAIN THE BENDING AND AXIAL STRESSES APPLIED THERETO WITHIN A PREDETERMINED RANGE; (D) TERMINATING THE PIPELINE ON THE VESSEL AT THE LENGTH THEREOF DESIRED TO BE LAID, THUS FORMING ANOTHER END; (E) SECURING A DRAWLINE BETWEEN SAID OTHER END OF THE PIPELINE AND THE VESSEL; AND, (F) PAYING OUT THE DRAWLINE TO LOWER SAID OTHER END OF THE PIPELINE TO THE FLOOR OF THE BODY OF WATER, THE PAYING OUT OF THE DRAWLINE BEING CONTROLLED TO HOLD THE PIPELINE UNDER PRESELECTED TENSION SUFFICIENT TO MAINTAIN THE BENDING AND AXIAL STRESSED APPLIED THERETO WITHIN A PREDETERMINED RANGE.