New Plane and Spherical TrigonometryLeach, Shewell and Sanborn, 1896 - 126 σελίδες |
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A'BC abscissa acute angle algebraic altitude angle corresponding axis bearing bubble centre chain circle circular measure colog cologarithms compass computed cos² cosecant cosine cotangent cross-hair decimal declination determined diff dist divided double meridian distance equal equation EXAMPLES figures find log Find the angle find the logarithmic Find the value functions Geometry Given Greenwich horizontal hypotenuse log cot log csc log sin log tan logarithmic sine longitude mantissa multiplied needle negative Note number corresponding observed opposite parallax perpendicular plane positive angle quadrant radius result right angles right spherical triangle right triangle secant sin B sin sin² solution Solve the following Spherical Trigonometry subtract sun's tangent telescope terminal line total latitude triangle ABC trigonometric functions Trigonometry vernier vertical wwww wwwww x cos y ΙΟ бо ос
Δημοφιλή αποσπάσματα
Σελίδα 87 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Σελίδα 96 - In a Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 43 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Σελίδα 44 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Σελίδα 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...
Σελίδα 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.
Σελίδα 95 - In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side.