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acute adjacent altitude ambiguous angle Answer apparent applied base called centre chords circle complement consequently CONSTRUCTION contained correction cosec cosine cotangent declination describe difference distance double draw equal equator EXAMPLE extent extremes falls feet find the angle formed given gives greater Greenwich half height Hence horizon hour hypothenuse latitude less logarithm longitude mean measure meridian middle miles moon's natural noon North object oblique observed obtuse opposite parallax parallel passing perpendicular plane Plate pole PRACTICAL primitive PROBLEM projected proportion PROPOSITION quadrant radius remainder represent right ascension right-angled right-angled spherical triangle RULE scale secant side side ac sine species sphere spherical triangle ABC star subtract sun's supplement suppose tangent third true vertical zenith
Side 109 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Side 33 - An angle at the circumference of a circle is measured by half the arc that subtends it. Let BAC be an angle at the circumference : it has for its measure half the arc "BC, which subtends it.
Side 29 - The sine, or right sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter passing through the other extremity. Thus, BF is the sine of the arc AB, or of the arc BDE.
Side 256 - The HORIZON is a great circle which separates the visible half of the heavens from the invisible ; the earth being considered as a point in the centre of the sphere of the fixed stars.
Side 116 - C = sin. A sin. B sin. C; dividing both sides of this equation by cos. A cos. B cos. C, we have sin. A sin. B sin. C _ sin.
Side 360 - Now it is plain, that if any great circle of the sphere (as 1, 2, 3.) be divided into any number of equal parts, and through the points of division...
Side 23 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...