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abscissa acute angle algebraic altitude angle corresponding axis bearing bubble centre chain circle circular measure colog cologarithms compass computed cos2 cos2x cosecant cosine cotangent cross-hair decimal declination determined diff dist divided double meridian distance equal equation EXAMPLES find log Find the angle find the logarithmic Find the value Fob Latitude Geometry Given Greenwich horizontal hypotenuse length line of sight log cos log cot log esc log sin log tan logarithmic sine longitude mantissa meridian altitude multiplied needle negative Note number corresponding observed opposite parallax perpendicular plane positive angle quadrant radius refraction result right angles right spherical triangle right triangle secant sin B sin sin2 solution Solve the following Spherical Trigonometry subtract sun's survey tangent telescope terminal line total latitude triangle ABC trigonometric functions Trigonometry vernier vertical
Pāgina 87 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Pāgina iv - The foregoing method is based on the assumption that the differences of logarithms are proportional to the differences of their corresponding numbers, which, though not strictly accurate, is sufficiently exact for practical purposes.
Pāgina 62 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.
Pāgina 63 - 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.
Pāgina 43 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Pāgina 44 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Pāgina 81 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Pāgina 36 - ... in a direction contrary to the motion of the hands of a watch, with — and be this particularly noted — a constant tendency to turn inwards towards the centre of lowest barometer.