Plane Trigonometry: With Practical Applications |
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Common terms and phrases
abscissa acute angle angle of elevation B₁ circle compass compute cos D sin cos² cotangent course and distance curve D sin D decimal places departure diff difference of latitude direction division earth equal equation error EXAMPLE EXERCISES Find the height force formulas given Hence horizontal plane hypotenuse interpolation intersection law of sines log cot log log tan log logarithms longitude mantissa measured Mercator chart meridian miles per hour obtain parallel of latitude Parallel Sailing perpendicular Plane Sailing pole quadrant radians radius refraction rhumb line right angle right triangle scale ship in lat ship sails ship's significant digit sin D cos sin² Solution subtends subtract surveying tables of natural tablette tangent terminal side THEOREM tion traverse table trigonometric functions true course vernier
Popular passages
Page 3 - In any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
Page 126 - In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle.
Page 146 - B sin (A — B) = sin A cos B — cos A sin B cos (A + B) = cos A cos B — sin...
Page 115 - Area. The area of any triangle is equal to one-half the product of its base and its height (or "altitude"): Area = - X base X height.
Page 36 - The logarithm of a quotient equals the logarithm of the dividend minus the logarithm of the divisor.
Page 30 - Parallelogram of Forces. — If two forces applied at a point are represented in magnitude and direction by the adjacent sides of a parallelogram ( AB and AC in...
Page 36 - I. The logarithm of a product equals the sum of the logarithms of the factors.
Page 5 - The angle which the line of sight from the observer to an object makes with a horizontal line, in the same vertical plane, is called the angle of elevation or the angle of depress FIG.
Page 115 - The sides of any triangle are proportional to the sines of the opposite angles.
Page 6 - ... is said to be a function of the second. For example, the area of a circle is a function of the radius.