## Elements of Plane and Spherical Trigonometry |

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acute angle adapted to logarithmic angle of elevation angle q angle xor angular base celestial horizon celestial sphere chord circle of latitude circular measure colog complement cosecant cosine cotangent csc q ctn q deﬁned denote distance ecliptic equator Example feet ﬁgures ﬁnd the angle ﬁnd the functions ﬁnd the height ﬁrst headland formulas formulas deduced functions of 90 geometry given angle horizon hour angle hypothenuse included angle initial line less than 180 log csc log ctn log sin logarithmic logarithmic computation meas miles negative Oblique Triangles obtained opposite angle perpendicular Plane Trig positive Prove quadrant radius right angle right ascension right triangles secant side opposite sin qr sinB sine and cosine solution solve spherical geometry spherical triangle straight line substituting tangent terminal line triangle of reference trigonometric functions vernal equinox vertex