method for determining the position of a point, a line,a curve, or a plane in a space of given dimensions,called a reference frame. Figure 3-1 shows typical ex-amples of parallel lines and planes.Figure 3-1.—Typical examples ofparallel lines and planes.Ultimately, the alignment of parallel lines, parallelplanes, and coordinate systems is used to establish apointing line for each piece of equipment in the ship’scombat system. The line representing the direction inwhich apiece of equipment is pointing is the pointingline of that equipment. As previously indicated, thepointing line may be the bore axis of a gun, the line ofsight of a director, or the propagation axis of a radarbeam. Accurate alignment is not possible unless thepointing line is precisely determined.FRAME OF REFERENCEThe reference point, the reference direction, andthe reference plane form a geometric structure calledthe reference plane. In the complete reference frame,directions are specified by two angles (train and ele-vation), measured about the reference point. Figure3-2 shows the measurement of an angle from a refer-ence direction.Figure 3-2.—Measurement of an anglefrom a reference direction.A geometric measurement is based on a definiteand complete set of geometric references. To permitclear and accurate definition of target position, adefinite point on the ship (such as a director) isselected as the starting point for the measurement. Asa reference point, a director center of rotation isselected arbitrarily because the director has interfacewith all the major equipment of a battery. Once thereference point is determined, it becomes apart of anyfuture measurement made from it and must be clearlyspecified before subsequent measurements have anymeaning.Once the reference point is selected, a referencedirection is established from which train angles aremeasured. Train angles are measured about the refer-ence point, beginning at the reference direction. Innaval combat systems, the ship’s centerline, whichpoints in the direction of the bow, is used as the refer-ence direction.Angles expressing direction cannot be describedunless a means is available for specifying the plane in3-2
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