## The Mathematical Theory of the Deviations of the Compass: Arranged for the Use of the Cadets at the U. S. Naval Academy |

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12-inch single Admiralty Standard Compass amplitudes angle athwartship axis azimuth Binnacle caused centre compass courses compass needle components constant correct magnetic cos2 curve of deviations determined Deviations produced Dip Circle dipping needle directive force Dygogram earth and ship earth's horizontal force easterly effect equal exact coefficients force acting force as unit force H force to north fore-and-aft line hard iron heeling error induced magnetism iron-built ships line of force magnetic bearing magnetic course magnetic equator magnetic force magnetic latitudes magnetic north Mare Island mean force mean value normal equations north end north point obtained octantal term PAET parallel placed pole position quadrantal deviation quantities reduce to zero represent semicircular deviation sextantal deviation ship swings ship's head Ship+s shore sin2 single needle soft iron correctors soft iron rods starboard Table tangent tion tism total force versin vessels vibrations windward