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acute angle angle base bearing called centre circle colog column compass computed contains corresponding cos x cosine cot tan cot departure determine difference direction distance divided draw elevation equal equation example EXERCISE Express feet field figure Find the area foot formula functions Given height Hence horizontal increases latitude length less log cos log cot log log sin log tan log logarithm mantissa means measured meridian method miles minutes moving negative Note object observed obtain opposite parallel perpendicular places plane plot position Prove Quadrant radius reached reading regular represent respectively right triangle sails ship Show sides sight sin x sine Solve station survey tangent tower triangle trigonometric true turning unit vernier vertical
Σελίδα 54 - У) sin x cos y + cos x sin y cos (x -|- y) cos x cos y — sin a.
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.