Plane Trigonometry, Surveying and Tables

Ginn & Company, 1896 - 307 σελίδες

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Σελίδα 54 - У) sin x cos y + cos x sin y cos (x -|- y) cos x cos y — sin a.
Σελίδα 28 - It is shown in Geometry that the area of a triangle is equal to one-half the product of the base by the altitude. Therefore, if a and b denote the legs of a right triangle, and F the area...
Σελίδα 65 - The bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides.
Σελίδα 54 - ... cos y + cos x sin y cos x cos y — sin x sin y tan a- + tan y 1 — tan x tan y sin (x — y) = sin x...
Σελίδα vii - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.
Σελίδα 87 - A pole is fixed on the top of a mound, and the angles of elevation of the top and the bottom of the pole are 60° and 30°, respectively. Prove that the length of the pole is twice the height of the mound.
Σελίδα 170 - ... is called the variation of the needle at that place, and is east or west, according as the north end of the needle lies on the east or west side of the true meridian.
Σελίδα 32 - From the top of a hill the angles of depression of two successive milestones, on a straight level road leading to the hill, are observed to be 5° and 15°.
Σελίδα 146 - ... on the right side of the south sight, and with the hand fix a card on the front surface of the north sight, so that its top edge will be at right angles to the divided edge and coincide with the zero mark ; then, sighting over the top of the card, note upon a flagstaff the height cut by the line of sight...
Σελίδα 83 - W., and after the ship had sailed 18 miles S. 67° 30' W. it bore N. 11° 15' E. Find its distance from each position of the ship. 2. Two objects, A and B, were observed from a ship to be at the same instant in a line bearing N. 15° E. The ship then sailed northwest 5 miles, when it was found that A bore due east and В bore northeast.

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